Abstract

We demonstrate the application of a complex constraint in the reconstruction of images from phase-diverse Fresnel coherent diffraction data for heterogeneous biological objects. The application of this constraint is shown to improve the quality of the reconstruction of both the phase and the magnitude of the complex object transmission function.

©2013 Optical Society of America

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  1. A. P. Mancuso, O. M. Yefanov, and I. A. Vartanyants, “Coherent diffractive imaging of biological samples at synchrotron and free electron laser facilities,” J. Biotechnol. 149(4), 229–237 (2010).
    [Crossref] [PubMed]
  2. H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
    [Crossref] [PubMed]
  3. G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
    [Crossref] [PubMed]
  4. D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
    [Crossref] [PubMed]
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    [Crossref] [PubMed]
  6. M. Beckers, T. Senkbeil, T. Gorniak, M. Reese, K. Giewekemeyer, S. C. Gleber, T. Salditt, and A. Rosenhahn, “Chemical contrast in soft x-ray ptychography,” Phys. Rev. Lett. 107(20), 208101 (2011).
    [Crossref] [PubMed]
  7. M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
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    [Crossref] [PubMed]
  9. K. A. Nugent, “Coherent methods in the X-ray sciences,” Adv. Phys. 59, 1–99 (2010).
  10. J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
  13. C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
    [Crossref] [PubMed]
  14. J. Miao, D. Sayre, and H. N. Chapman, “Phase retrieval from the magnitude of the Fouries transforms of nonperiodic objects,” J. Opt. Soc. Am. A 15(6), 1662–1669 (1998).
    [Crossref]
  15. G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Fresnel coherent diffractive imaging: treatment and analysis of data,” New J. Phys. 12(3), 035020 (2010).
    [Crossref]
  16. K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
    [Crossref] [PubMed]
  17. J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
    [Crossref] [PubMed]
  18. J. N. Clark, C. T. Putkunz, M. A. Pfeifer, A. G. Peele, G. J. Williams, B. Chen, K. A. Nugent, C. Hall, W. Fullagar, S. Kim, and I. McNulty, “Use of a complex constraint in coherent diffractive imaging,” Opt. Express 18(3), 1981–1993 (2010).
    [Crossref] [PubMed]
  19. G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel Coherent Diffractive Imaging,” Phys. Rev. Lett. 97(2), 025506 (2006).
    [Crossref] [PubMed]
  20. M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).
  21. E. Hanssen, C. Knoechel, M. Dearnley, M. W. A. Dixon, M. A. Le Gros, C. Larabell, and L. Tilley, “Soft X-ray microscopy analysis of cell volume and hemoglobin content in erythrocytes infected with asexual and sexual stages of Plasmodium falciparum,” J. Struct. Biol. 177(2), 224–232 (2012).
    [Crossref] [PubMed]
  22. S. Pagola, P. W. Stephens, D. S. Bohle, A. D. Kosar, and S. K. Madsen, “The structure of malaria pigment β-haematin,” Nature 404(6775), 307–310 (2000).
    [Crossref] [PubMed]
  23. E. Hanssen, C. Knoechel, N. Klonis, N. Abu-Bakar, S. Deed, M. LeGros, C. Larabell, and L. Tilley, “Cryo transmission X-ray imaging of the malaria parasite, P. falciparum,” J. Struct. Biol. 173(1), 161–168 (2011).
    [Crossref] [PubMed]
  24. C. Spycher, M. Rug, E. Pachlatko, E. Hanssen, D. Ferguson, A. F. Cowman, L. Tilley, and H.-P. Beck, “The Maurer’s cleft protein MAHRP1 is essential for trafficking of PfEMP1 to the surface of Plasmodium falciparum-infected erythrocytes,” Mol. Microbiol. 68(5), 1300–1314 (2008).
    [Crossref] [PubMed]
  25. G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63(1), 36–42 (2007).
    [Crossref] [PubMed]
  26. B. L. Henke, E. M. Gullikson, and J. C. Davis, “X-ray interactions: photoabsorption, scattering, transmission, and reflection at E=50-30000 eV, Z=1-92,” At. Data Nucl. Data Tables 54(2), 181–342 (1993).
    [Crossref]

2013 (1)

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

2012 (2)

E. Hanssen, C. Knoechel, M. Dearnley, M. W. A. Dixon, M. A. Le Gros, C. Larabell, and L. Tilley, “Soft X-ray microscopy analysis of cell volume and hemoglobin content in erythrocytes infected with asexual and sexual stages of Plasmodium falciparum,” J. Struct. Biol. 177(2), 224–232 (2012).
[Crossref] [PubMed]

A. P. Mancuso, M. R. Groves, O. E. Polozhentsev, G. J. Williams, I. McNulty, C. Antony, R. Santarella-Mellwig, A. V. Soldatov, V. Lamzin, A. G. Peele, K. A. Nugent, and I. A. Vartanyants, “Internal structure of an intact Convallaria majalis pollen grain observed with X-ray Fresnel coherent diffractive imaging,” Opt. Express 20(24), 26778–26785 (2012).
[Crossref] [PubMed]

2011 (5)

M. Beckers, T. Senkbeil, T. Gorniak, M. Reese, K. Giewekemeyer, S. C. Gleber, T. Salditt, and A. Rosenhahn, “Chemical contrast in soft x-ray ptychography,” Phys. Rev. Lett. 107(20), 208101 (2011).
[Crossref] [PubMed]

K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
[Crossref] [PubMed]

E. Hanssen, C. Knoechel, N. Klonis, N. Abu-Bakar, S. Deed, M. LeGros, C. Larabell, and L. Tilley, “Cryo transmission X-ray imaging of the malaria parasite, P. falciparum,” J. Struct. Biol. 173(1), 161–168 (2011).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, M. A. Pfeifer, E. Balaur, I. McNulty, K. A. Nugent, and A. G. Peele, “Phase-Diverse coherent diffractive imaging: high sensitivity with low dose,” Phys. Rev. Lett. 106(1), 013903 (2011).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

2010 (6)

A. P. Mancuso, O. M. Yefanov, and I. A. Vartanyants, “Coherent diffractive imaging of biological samples at synchrotron and free electron laser facilities,” J. Biotechnol. 149(4), 229–237 (2010).
[Crossref] [PubMed]

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

K. A. Nugent, “Coherent methods in the X-ray sciences,” Adv. Phys. 59, 1–99 (2010).

G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Fresnel coherent diffractive imaging: treatment and analysis of data,” New J. Phys. 12(3), 035020 (2010).
[Crossref]

J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
[Crossref] [PubMed]

J. N. Clark, C. T. Putkunz, M. A. Pfeifer, A. G. Peele, G. J. Williams, B. Chen, K. A. Nugent, C. Hall, W. Fullagar, S. Kim, and I. McNulty, “Use of a complex constraint in coherent diffractive imaging,” Opt. Express 18(3), 1981–1993 (2010).
[Crossref] [PubMed]

2009 (1)

D. J. Vine, G. J. Williams, B. Abbey, M. A. Pfeifer, J. N. Clark, M. D. de Jonge, I. McNulty, A. G. Peele, and K. A. Nugent, “Ptychographic Fresnel coherent diffractive imaging,” Phys. Rev. A 80(6), 063823 (2009).
[Crossref]

2008 (2)

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

C. Spycher, M. Rug, E. Pachlatko, E. Hanssen, D. Ferguson, A. F. Cowman, L. Tilley, and H.-P. Beck, “The Maurer’s cleft protein MAHRP1 is essential for trafficking of PfEMP1 to the surface of Plasmodium falciparum-infected erythrocytes,” Mol. Microbiol. 68(5), 1300–1314 (2008).
[Crossref] [PubMed]

2007 (2)

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63(1), 36–42 (2007).
[Crossref] [PubMed]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

2006 (1)

G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel Coherent Diffractive Imaging,” Phys. Rev. Lett. 97(2), 025506 (2006).
[Crossref] [PubMed]

2005 (1)

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

2000 (1)

S. Pagola, P. W. Stephens, D. S. Bohle, A. D. Kosar, and S. K. Madsen, “The structure of malaria pigment β-haematin,” Nature 404(6775), 307–310 (2000).
[Crossref] [PubMed]

1998 (1)

1993 (1)

B. L. Henke, E. M. Gullikson, and J. C. Davis, “X-ray interactions: photoabsorption, scattering, transmission, and reflection at E=50-30000 eV, Z=1-92,” At. Data Nucl. Data Tables 54(2), 181–342 (1993).
[Crossref]

Abbey, B.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

D. J. Vine, G. J. Williams, B. Abbey, M. A. Pfeifer, J. N. Clark, M. D. de Jonge, I. McNulty, A. G. Peele, and K. A. Nugent, “Ptychographic Fresnel coherent diffractive imaging,” Phys. Rev. A 80(6), 063823 (2009).
[Crossref]

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

Abu-Bakar, N.

E. Hanssen, C. Knoechel, N. Klonis, N. Abu-Bakar, S. Deed, M. LeGros, C. Larabell, and L. Tilley, “Cryo transmission X-ray imaging of the malaria parasite, P. falciparum,” J. Struct. Biol. 173(1), 161–168 (2011).
[Crossref] [PubMed]

Antony, C.

Arhatari, B. D.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

Balaur, E.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, M. A. Pfeifer, E. Balaur, I. McNulty, K. A. Nugent, and A. G. Peele, “Phase-Diverse coherent diffractive imaging: high sensitivity with low dose,” Phys. Rev. Lett. 106(1), 013903 (2011).
[Crossref] [PubMed]

M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).

Beck, H.-P.

C. Spycher, M. Rug, E. Pachlatko, E. Hanssen, D. Ferguson, A. F. Cowman, L. Tilley, and H.-P. Beck, “The Maurer’s cleft protein MAHRP1 is essential for trafficking of PfEMP1 to the surface of Plasmodium falciparum-infected erythrocytes,” Mol. Microbiol. 68(5), 1300–1314 (2008).
[Crossref] [PubMed]

Beckers, M.

K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
[Crossref] [PubMed]

M. Beckers, T. Senkbeil, T. Gorniak, M. Reese, K. Giewekemeyer, S. C. Gleber, T. Salditt, and A. Rosenhahn, “Chemical contrast in soft x-ray ptychography,” Phys. Rev. Lett. 107(20), 208101 (2011).
[Crossref] [PubMed]

Beetz, T.

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

Bohle, D. S.

S. Pagola, P. W. Stephens, D. S. Bohle, A. D. Kosar, and S. K. Madsen, “The structure of malaria pigment β-haematin,” Nature 404(6775), 307–310 (2000).
[Crossref] [PubMed]

Bunk, O.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Cadenazzi, G.

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

Cadenazzi, G. A.

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

Chapman, H. N.

Chen, B.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

J. N. Clark, C. T. Putkunz, M. A. Pfeifer, A. G. Peele, G. J. Williams, B. Chen, K. A. Nugent, C. Hall, W. Fullagar, S. Kim, and I. McNulty, “Use of a complex constraint in coherent diffractive imaging,” Opt. Express 18(3), 1981–1993 (2010).
[Crossref] [PubMed]

Chen, C.-C.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

Clark, J. N.

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, M. A. Pfeifer, E. Balaur, I. McNulty, K. A. Nugent, and A. G. Peele, “Phase-Diverse coherent diffractive imaging: high sensitivity with low dose,” Phys. Rev. Lett. 106(1), 013903 (2011).
[Crossref] [PubMed]

J. N. Clark, C. T. Putkunz, M. A. Pfeifer, A. G. Peele, G. J. Williams, B. Chen, K. A. Nugent, C. Hall, W. Fullagar, S. Kim, and I. McNulty, “Use of a complex constraint in coherent diffractive imaging,” Opt. Express 18(3), 1981–1993 (2010).
[Crossref] [PubMed]

D. J. Vine, G. J. Williams, B. Abbey, M. A. Pfeifer, J. N. Clark, M. D. de Jonge, I. McNulty, A. G. Peele, and K. A. Nugent, “Ptychographic Fresnel coherent diffractive imaging,” Phys. Rev. A 80(6), 063823 (2009).
[Crossref]

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

Couglin, H. D.

M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).

Cowman, A. F.

C. Spycher, M. Rug, E. Pachlatko, E. Hanssen, D. Ferguson, A. F. Cowman, L. Tilley, and H.-P. Beck, “The Maurer’s cleft protein MAHRP1 is essential for trafficking of PfEMP1 to the surface of Plasmodium falciparum-infected erythrocytes,” Mol. Microbiol. 68(5), 1300–1314 (2008).
[Crossref] [PubMed]

Cullis, A. G.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Curwood, E. K.

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

David, C.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Davis, J. C.

B. L. Henke, E. M. Gullikson, and J. C. Davis, “X-ray interactions: photoabsorption, scattering, transmission, and reflection at E=50-30000 eV, Z=1-92,” At. Data Nucl. Data Tables 54(2), 181–342 (1993).
[Crossref]

de Jonge, M. D.

D. J. Vine, G. J. Williams, B. Abbey, M. A. Pfeifer, J. N. Clark, M. D. de Jonge, I. McNulty, A. G. Peele, and K. A. Nugent, “Ptychographic Fresnel coherent diffractive imaging,” Phys. Rev. A 80(6), 063823 (2009).
[Crossref]

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel Coherent Diffractive Imaging,” Phys. Rev. Lett. 97(2), 025506 (2006).
[Crossref] [PubMed]

Dearnley, M.

E. Hanssen, C. Knoechel, M. Dearnley, M. W. A. Dixon, M. A. Le Gros, C. Larabell, and L. Tilley, “Soft X-ray microscopy analysis of cell volume and hemoglobin content in erythrocytes infected with asexual and sexual stages of Plasmodium falciparum,” J. Struct. Biol. 177(2), 224–232 (2012).
[Crossref] [PubMed]

Dearnley, M. K.

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

Deed, S.

E. Hanssen, C. Knoechel, N. Klonis, N. Abu-Bakar, S. Deed, M. LeGros, C. Larabell, and L. Tilley, “Cryo transmission X-ray imaging of the malaria parasite, P. falciparum,” J. Struct. Biol. 173(1), 161–168 (2011).
[Crossref] [PubMed]

Dhal, B. B.

G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel Coherent Diffractive Imaging,” Phys. Rev. Lett. 97(2), 025506 (2006).
[Crossref] [PubMed]

Dixon, M. W. A.

E. Hanssen, C. Knoechel, M. Dearnley, M. W. A. Dixon, M. A. Le Gros, C. Larabell, and L. Tilley, “Soft X-ray microscopy analysis of cell volume and hemoglobin content in erythrocytes infected with asexual and sexual stages of Plasmodium falciparum,” J. Struct. Biol. 177(2), 224–232 (2012).
[Crossref] [PubMed]

Dobson, B. R.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Elser, V.

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

Fahimian, B. P.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

Ferguson, D.

C. Spycher, M. Rug, E. Pachlatko, E. Hanssen, D. Ferguson, A. F. Cowman, L. Tilley, and H.-P. Beck, “The Maurer’s cleft protein MAHRP1 is essential for trafficking of PfEMP1 to the surface of Plasmodium falciparum-infected erythrocytes,” Mol. Microbiol. 68(5), 1300–1314 (2008).
[Crossref] [PubMed]

Frankland, S.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

Fullagar, W.

Gianoncelli, A.

M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).

Giewekemeyer, K.

M. Beckers, T. Senkbeil, T. Gorniak, M. Reese, K. Giewekemeyer, S. C. Gleber, T. Salditt, and A. Rosenhahn, “Chemical contrast in soft x-ray ptychography,” Phys. Rev. Lett. 107(20), 208101 (2011).
[Crossref] [PubMed]

K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
[Crossref] [PubMed]

Gleber, S. C.

M. Beckers, T. Senkbeil, T. Gorniak, M. Reese, K. Giewekemeyer, S. C. Gleber, T. Salditt, and A. Rosenhahn, “Chemical contrast in soft x-ray ptychography,” Phys. Rev. Lett. 107(20), 208101 (2011).
[Crossref] [PubMed]

Gorniak, T.

M. Beckers, T. Senkbeil, T. Gorniak, M. Reese, K. Giewekemeyer, S. C. Gleber, T. Salditt, and A. Rosenhahn, “Chemical contrast in soft x-ray ptychography,” Phys. Rev. Lett. 107(20), 208101 (2011).
[Crossref] [PubMed]

K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
[Crossref] [PubMed]

Groves, M. R.

Grunze, M.

Gullikson, E. M.

B. L. Henke, E. M. Gullikson, and J. C. Davis, “X-ray interactions: photoabsorption, scattering, transmission, and reflection at E=50-30000 eV, Z=1-92,” At. Data Nucl. Data Tables 54(2), 181–342 (1993).
[Crossref]

Hall, C.

Hanssen, E.

E. Hanssen, C. Knoechel, M. Dearnley, M. W. A. Dixon, M. A. Le Gros, C. Larabell, and L. Tilley, “Soft X-ray microscopy analysis of cell volume and hemoglobin content in erythrocytes infected with asexual and sexual stages of Plasmodium falciparum,” J. Struct. Biol. 177(2), 224–232 (2012).
[Crossref] [PubMed]

E. Hanssen, C. Knoechel, N. Klonis, N. Abu-Bakar, S. Deed, M. LeGros, C. Larabell, and L. Tilley, “Cryo transmission X-ray imaging of the malaria parasite, P. falciparum,” J. Struct. Biol. 173(1), 161–168 (2011).
[Crossref] [PubMed]

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

C. Spycher, M. Rug, E. Pachlatko, E. Hanssen, D. Ferguson, A. F. Cowman, L. Tilley, and H.-P. Beck, “The Maurer’s cleft protein MAHRP1 is essential for trafficking of PfEMP1 to the surface of Plasmodium falciparum-infected erythrocytes,” Mol. Microbiol. 68(5), 1300–1314 (2008).
[Crossref] [PubMed]

Henderson, C. A.

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

Henke, B. L.

B. L. Henke, E. M. Gullikson, and J. C. Davis, “X-ray interactions: photoabsorption, scattering, transmission, and reflection at E=50-30000 eV, Z=1-92,” At. Data Nucl. Data Tables 54(2), 181–342 (1993).
[Crossref]

Howells, M. R.

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

Huang, X.

J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
[Crossref] [PubMed]

Hurst, A. C.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Ishikawa, T.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

Jacobsen, C.

J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
[Crossref] [PubMed]

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

Jefimovs, K.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Jiang, H.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

Johnson, I.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Jones, M. W. M.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).

Junker, M. D.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

Kim, S.

Kirz, J.

J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
[Crossref] [PubMed]

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

Klonis, N.

E. Hanssen, C. Knoechel, N. Klonis, N. Abu-Bakar, S. Deed, M. LeGros, C. Larabell, and L. Tilley, “Cryo transmission X-ray imaging of the malaria parasite, P. falciparum,” J. Struct. Biol. 173(1), 161–168 (2011).
[Crossref] [PubMed]

Knoechel, C.

E. Hanssen, C. Knoechel, M. Dearnley, M. W. A. Dixon, M. A. Le Gros, C. Larabell, and L. Tilley, “Soft X-ray microscopy analysis of cell volume and hemoglobin content in erythrocytes infected with asexual and sexual stages of Plasmodium falciparum,” J. Struct. Biol. 177(2), 224–232 (2012).
[Crossref] [PubMed]

E. Hanssen, C. Knoechel, N. Klonis, N. Abu-Bakar, S. Deed, M. LeGros, C. Larabell, and L. Tilley, “Cryo transmission X-ray imaging of the malaria parasite, P. falciparum,” J. Struct. Biol. 173(1), 161–168 (2011).
[Crossref] [PubMed]

Kosar, A. D.

S. Pagola, P. W. Stephens, D. S. Bohle, A. D. Kosar, and S. K. Madsen, “The structure of malaria pigment β-haematin,” Nature 404(6775), 307–310 (2000).
[Crossref] [PubMed]

Lamzin, V.

Larabell, C.

E. Hanssen, C. Knoechel, M. Dearnley, M. W. A. Dixon, M. A. Le Gros, C. Larabell, and L. Tilley, “Soft X-ray microscopy analysis of cell volume and hemoglobin content in erythrocytes infected with asexual and sexual stages of Plasmodium falciparum,” J. Struct. Biol. 177(2), 224–232 (2012).
[Crossref] [PubMed]

E. Hanssen, C. Knoechel, N. Klonis, N. Abu-Bakar, S. Deed, M. LeGros, C. Larabell, and L. Tilley, “Cryo transmission X-ray imaging of the malaria parasite, P. falciparum,” J. Struct. Biol. 173(1), 161–168 (2011).
[Crossref] [PubMed]

Le Gros, M. A.

E. Hanssen, C. Knoechel, M. Dearnley, M. W. A. Dixon, M. A. Le Gros, C. Larabell, and L. Tilley, “Soft X-ray microscopy analysis of cell volume and hemoglobin content in erythrocytes infected with asexual and sexual stages of Plasmodium falciparum,” J. Struct. Biol. 177(2), 224–232 (2012).
[Crossref] [PubMed]

Lee, T.-K.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

LeGros, M.

E. Hanssen, C. Knoechel, N. Klonis, N. Abu-Bakar, S. Deed, M. LeGros, C. Larabell, and L. Tilley, “Cryo transmission X-ray imaging of the malaria parasite, P. falciparum,” J. Struct. Biol. 173(1), 161–168 (2011).
[Crossref] [PubMed]

Lima, E.

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

Lu, C.-H.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

Luu, M. B.

M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).

Madsen, S. K.

S. Pagola, P. W. Stephens, D. S. Bohle, A. D. Kosar, and S. K. Madsen, “The structure of malaria pigment β-haematin,” Nature 404(6775), 307–310 (2000).
[Crossref] [PubMed]

Mancuso, A. P.

Marchesini, S.

J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
[Crossref] [PubMed]

McNulty, I.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

A. P. Mancuso, M. R. Groves, O. E. Polozhentsev, G. J. Williams, I. McNulty, C. Antony, R. Santarella-Mellwig, A. V. Soldatov, V. Lamzin, A. G. Peele, K. A. Nugent, and I. A. Vartanyants, “Internal structure of an intact Convallaria majalis pollen grain observed with X-ray Fresnel coherent diffractive imaging,” Opt. Express 20(24), 26778–26785 (2012).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, M. A. Pfeifer, E. Balaur, I. McNulty, K. A. Nugent, and A. G. Peele, “Phase-Diverse coherent diffractive imaging: high sensitivity with low dose,” Phys. Rev. Lett. 106(1), 013903 (2011).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

J. N. Clark, C. T. Putkunz, M. A. Pfeifer, A. G. Peele, G. J. Williams, B. Chen, K. A. Nugent, C. Hall, W. Fullagar, S. Kim, and I. McNulty, “Use of a complex constraint in coherent diffractive imaging,” Opt. Express 18(3), 1981–1993 (2010).
[Crossref] [PubMed]

D. J. Vine, G. J. Williams, B. Abbey, M. A. Pfeifer, J. N. Clark, M. D. de Jonge, I. McNulty, A. G. Peele, and K. A. Nugent, “Ptychographic Fresnel coherent diffractive imaging,” Phys. Rev. A 80(6), 063823 (2009).
[Crossref]

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

Miao, H.

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

Miao, J.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

J. Miao, D. Sayre, and H. N. Chapman, “Phase retrieval from the magnitude of the Fouries transforms of nonperiodic objects,” J. Opt. Soc. Am. A 15(6), 1662–1669 (1998).
[Crossref]

Millet, C.

M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).

Nakashima, A.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

Neiman, A. M.

J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
[Crossref] [PubMed]

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

Nelson, J.

J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
[Crossref] [PubMed]

Nugent, K. A.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

A. P. Mancuso, M. R. Groves, O. E. Polozhentsev, G. J. Williams, I. McNulty, C. Antony, R. Santarella-Mellwig, A. V. Soldatov, V. Lamzin, A. G. Peele, K. A. Nugent, and I. A. Vartanyants, “Internal structure of an intact Convallaria majalis pollen grain observed with X-ray Fresnel coherent diffractive imaging,” Opt. Express 20(24), 26778–26785 (2012).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, M. A. Pfeifer, E. Balaur, I. McNulty, K. A. Nugent, and A. G. Peele, “Phase-Diverse coherent diffractive imaging: high sensitivity with low dose,” Phys. Rev. Lett. 106(1), 013903 (2011).
[Crossref] [PubMed]

K. A. Nugent, “Coherent methods in the X-ray sciences,” Adv. Phys. 59, 1–99 (2010).

J. N. Clark, C. T. Putkunz, M. A. Pfeifer, A. G. Peele, G. J. Williams, B. Chen, K. A. Nugent, C. Hall, W. Fullagar, S. Kim, and I. McNulty, “Use of a complex constraint in coherent diffractive imaging,” Opt. Express 18(3), 1981–1993 (2010).
[Crossref] [PubMed]

G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Fresnel coherent diffractive imaging: treatment and analysis of data,” New J. Phys. 12(3), 035020 (2010).
[Crossref]

D. J. Vine, G. J. Williams, B. Abbey, M. A. Pfeifer, J. N. Clark, M. D. de Jonge, I. McNulty, A. G. Peele, and K. A. Nugent, “Ptychographic Fresnel coherent diffractive imaging,” Phys. Rev. A 80(6), 063823 (2009).
[Crossref]

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel Coherent Diffractive Imaging,” Phys. Rev. Lett. 97(2), 025506 (2006).
[Crossref] [PubMed]

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

Pachlatko, E.

C. Spycher, M. Rug, E. Pachlatko, E. Hanssen, D. Ferguson, A. F. Cowman, L. Tilley, and H.-P. Beck, “The Maurer’s cleft protein MAHRP1 is essential for trafficking of PfEMP1 to the surface of Plasmodium falciparum-infected erythrocytes,” Mol. Microbiol. 68(5), 1300–1314 (2008).
[Crossref] [PubMed]

Pagola, S.

S. Pagola, P. W. Stephens, D. S. Bohle, A. D. Kosar, and S. K. Madsen, “The structure of malaria pigment β-haematin,” Nature 404(6775), 307–310 (2000).
[Crossref] [PubMed]

Paterson, D.

G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel Coherent Diffractive Imaging,” Phys. Rev. Lett. 97(2), 025506 (2006).
[Crossref] [PubMed]

Peele, A. G.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

A. P. Mancuso, M. R. Groves, O. E. Polozhentsev, G. J. Williams, I. McNulty, C. Antony, R. Santarella-Mellwig, A. V. Soldatov, V. Lamzin, A. G. Peele, K. A. Nugent, and I. A. Vartanyants, “Internal structure of an intact Convallaria majalis pollen grain observed with X-ray Fresnel coherent diffractive imaging,” Opt. Express 20(24), 26778–26785 (2012).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, M. A. Pfeifer, E. Balaur, I. McNulty, K. A. Nugent, and A. G. Peele, “Phase-Diverse coherent diffractive imaging: high sensitivity with low dose,” Phys. Rev. Lett. 106(1), 013903 (2011).
[Crossref] [PubMed]

J. N. Clark, C. T. Putkunz, M. A. Pfeifer, A. G. Peele, G. J. Williams, B. Chen, K. A. Nugent, C. Hall, W. Fullagar, S. Kim, and I. McNulty, “Use of a complex constraint in coherent diffractive imaging,” Opt. Express 18(3), 1981–1993 (2010).
[Crossref] [PubMed]

G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Fresnel coherent diffractive imaging: treatment and analysis of data,” New J. Phys. 12(3), 035020 (2010).
[Crossref]

D. J. Vine, G. J. Williams, B. Abbey, M. A. Pfeifer, J. N. Clark, M. D. de Jonge, I. McNulty, A. G. Peele, and K. A. Nugent, “Ptychographic Fresnel coherent diffractive imaging,” Phys. Rev. A 80(6), 063823 (2009).
[Crossref]

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel Coherent Diffractive Imaging,” Phys. Rev. Lett. 97(2), 025506 (2006).
[Crossref] [PubMed]

M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

Pfeifer, M.

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63(1), 36–42 (2007).
[Crossref] [PubMed]

Pfeifer, M. A.

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, M. A. Pfeifer, E. Balaur, I. McNulty, K. A. Nugent, and A. G. Peele, “Phase-Diverse coherent diffractive imaging: high sensitivity with low dose,” Phys. Rev. Lett. 106(1), 013903 (2011).
[Crossref] [PubMed]

J. N. Clark, C. T. Putkunz, M. A. Pfeifer, A. G. Peele, G. J. Williams, B. Chen, K. A. Nugent, C. Hall, W. Fullagar, S. Kim, and I. McNulty, “Use of a complex constraint in coherent diffractive imaging,” Opt. Express 18(3), 1981–1993 (2010).
[Crossref] [PubMed]

D. J. Vine, G. J. Williams, B. Abbey, M. A. Pfeifer, J. N. Clark, M. D. de Jonge, I. McNulty, A. G. Peele, and K. A. Nugent, “Ptychographic Fresnel coherent diffractive imaging,” Phys. Rev. A 80(6), 063823 (2009).
[Crossref]

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

Pfeiffer, F.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Polozhentsev, O. E.

Putkunz, C. T.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, M. A. Pfeifer, E. Balaur, I. McNulty, K. A. Nugent, and A. G. Peele, “Phase-Diverse coherent diffractive imaging: high sensitivity with low dose,” Phys. Rev. Lett. 106(1), 013903 (2011).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

J. N. Clark, C. T. Putkunz, M. A. Pfeifer, A. G. Peele, G. J. Williams, B. Chen, K. A. Nugent, C. Hall, W. Fullagar, S. Kim, and I. McNulty, “Use of a complex constraint in coherent diffractive imaging,” Opt. Express 18(3), 1981–1993 (2010).
[Crossref] [PubMed]

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

Quiney, H. M.

G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Fresnel coherent diffractive imaging: treatment and analysis of data,” New J. Phys. 12(3), 035020 (2010).
[Crossref]

G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel Coherent Diffractive Imaging,” Phys. Rev. Lett. 97(2), 025506 (2006).
[Crossref] [PubMed]

Raines, K. S.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

Reese, M.

M. Beckers, T. Senkbeil, T. Gorniak, M. Reese, K. Giewekemeyer, S. C. Gleber, T. Salditt, and A. Rosenhahn, “Chemical contrast in soft x-ray ptychography,” Phys. Rev. Lett. 107(20), 208101 (2011).
[Crossref] [PubMed]

Robinson, I.

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63(1), 36–42 (2007).
[Crossref] [PubMed]

Rodenburg, J. M.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Rosenhahn, A.

M. Beckers, T. Senkbeil, T. Gorniak, M. Reese, K. Giewekemeyer, S. C. Gleber, T. Salditt, and A. Rosenhahn, “Chemical contrast in soft x-ray ptychography,” Phys. Rev. Lett. 107(20), 208101 (2011).
[Crossref] [PubMed]

K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
[Crossref] [PubMed]

Rug, M.

C. Spycher, M. Rug, E. Pachlatko, E. Hanssen, D. Ferguson, A. F. Cowman, L. Tilley, and H.-P. Beck, “The Maurer’s cleft protein MAHRP1 is essential for trafficking of PfEMP1 to the surface of Plasmodium falciparum-infected erythrocytes,” Mol. Microbiol. 68(5), 1300–1314 (2008).
[Crossref] [PubMed]

Salditt, T.

K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
[Crossref] [PubMed]

M. Beckers, T. Senkbeil, T. Gorniak, M. Reese, K. Giewekemeyer, S. C. Gleber, T. Salditt, and A. Rosenhahn, “Chemical contrast in soft x-ray ptychography,” Phys. Rev. Lett. 107(20), 208101 (2011).
[Crossref] [PubMed]

Santarella-Mellwig, R.

Sayre, D.

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

J. Miao, D. Sayre, and H. N. Chapman, “Phase retrieval from the magnitude of the Fouries transforms of nonperiodic objects,” J. Opt. Soc. Am. A 15(6), 1662–1669 (1998).
[Crossref]

Scholten, R. E.

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

Senkbeil, T.

M. Beckers, T. Senkbeil, T. Gorniak, M. Reese, K. Giewekemeyer, S. C. Gleber, T. Salditt, and A. Rosenhahn, “Chemical contrast in soft x-ray ptychography,” Phys. Rev. Lett. 107(20), 208101 (2011).
[Crossref] [PubMed]

Shapiro, D.

J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
[Crossref] [PubMed]

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

Soldatov, A. V.

Song, C.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

Spycher, C.

C. Spycher, M. Rug, E. Pachlatko, E. Hanssen, D. Ferguson, A. F. Cowman, L. Tilley, and H.-P. Beck, “The Maurer’s cleft protein MAHRP1 is essential for trafficking of PfEMP1 to the surface of Plasmodium falciparum-infected erythrocytes,” Mol. Microbiol. 68(5), 1300–1314 (2008).
[Crossref] [PubMed]

Steinbrener, J.

J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
[Crossref] [PubMed]

Stephens, P. W.

S. Pagola, P. W. Stephens, D. S. Bohle, A. D. Kosar, and S. K. Madsen, “The structure of malaria pigment β-haematin,” Nature 404(6775), 307–310 (2000).
[Crossref] [PubMed]

Stewart, R. J.

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

Tamanoi, F.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

Thibault, P.

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

Tilley, L.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

E. Hanssen, C. Knoechel, M. Dearnley, M. W. A. Dixon, M. A. Le Gros, C. Larabell, and L. Tilley, “Soft X-ray microscopy analysis of cell volume and hemoglobin content in erythrocytes infected with asexual and sexual stages of Plasmodium falciparum,” J. Struct. Biol. 177(2), 224–232 (2012).
[Crossref] [PubMed]

E. Hanssen, C. Knoechel, N. Klonis, N. Abu-Bakar, S. Deed, M. LeGros, C. Larabell, and L. Tilley, “Cryo transmission X-ray imaging of the malaria parasite, P. falciparum,” J. Struct. Biol. 173(1), 161–168 (2011).
[Crossref] [PubMed]

C. Spycher, M. Rug, E. Pachlatko, E. Hanssen, D. Ferguson, A. F. Cowman, L. Tilley, and H.-P. Beck, “The Maurer’s cleft protein MAHRP1 is essential for trafficking of PfEMP1 to the surface of Plasmodium falciparum-infected erythrocytes,” Mol. Microbiol. 68(5), 1300–1314 (2008).
[Crossref] [PubMed]

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

Tran, C. Q.

G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel Coherent Diffractive Imaging,” Phys. Rev. Lett. 97(2), 025506 (2006).
[Crossref] [PubMed]

Turner, J. J.

J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
[Crossref] [PubMed]

Urano, J.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

van Riessen, G. A.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).

Vartanyants, I.

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63(1), 36–42 (2007).
[Crossref] [PubMed]

Vartanyants, I. A.

Vine, D. J.

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, M. A. Pfeifer, E. Balaur, I. McNulty, K. A. Nugent, and A. G. Peele, “Phase-Diverse coherent diffractive imaging: high sensitivity with low dose,” Phys. Rev. Lett. 106(1), 013903 (2011).
[Crossref] [PubMed]

D. J. Vine, G. J. Williams, B. Abbey, M. A. Pfeifer, J. N. Clark, M. D. de Jonge, I. McNulty, A. G. Peele, and K. A. Nugent, “Ptychographic Fresnel coherent diffractive imaging,” Phys. Rev. A 80(6), 063823 (2009).
[Crossref]

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

Vogt, S.

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

Williams, G.

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63(1), 36–42 (2007).
[Crossref] [PubMed]

Williams, G. J.

A. P. Mancuso, M. R. Groves, O. E. Polozhentsev, G. J. Williams, I. McNulty, C. Antony, R. Santarella-Mellwig, A. V. Soldatov, V. Lamzin, A. G. Peele, K. A. Nugent, and I. A. Vartanyants, “Internal structure of an intact Convallaria majalis pollen grain observed with X-ray Fresnel coherent diffractive imaging,” Opt. Express 20(24), 26778–26785 (2012).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, M. A. Pfeifer, E. Balaur, I. McNulty, K. A. Nugent, and A. G. Peele, “Phase-Diverse coherent diffractive imaging: high sensitivity with low dose,” Phys. Rev. Lett. 106(1), 013903 (2011).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

J. N. Clark, C. T. Putkunz, M. A. Pfeifer, A. G. Peele, G. J. Williams, B. Chen, K. A. Nugent, C. Hall, W. Fullagar, S. Kim, and I. McNulty, “Use of a complex constraint in coherent diffractive imaging,” Opt. Express 18(3), 1981–1993 (2010).
[Crossref] [PubMed]

G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Fresnel coherent diffractive imaging: treatment and analysis of data,” New J. Phys. 12(3), 035020 (2010).
[Crossref]

D. J. Vine, G. J. Williams, B. Abbey, M. A. Pfeifer, J. N. Clark, M. D. de Jonge, I. McNulty, A. G. Peele, and K. A. Nugent, “Ptychographic Fresnel coherent diffractive imaging,” Phys. Rev. A 80(6), 063823 (2009).
[Crossref]

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel Coherent Diffractive Imaging,” Phys. Rev. Lett. 97(2), 025506 (2006).
[Crossref] [PubMed]

Xu, R.

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

Yefanov, O. M.

A. P. Mancuso, O. M. Yefanov, and I. A. Vartanyants, “Coherent diffractive imaging of biological samples at synchrotron and free electron laser facilities,” J. Biotechnol. 149(4), 229–237 (2010).
[Crossref] [PubMed]

Acta Crystallogr. A (1)

G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A 63(1), 36–42 (2007).
[Crossref] [PubMed]

Adv. Phys. (1)

K. A. Nugent, “Coherent methods in the X-ray sciences,” Adv. Phys. 59, 1–99 (2010).

At. Data Nucl. Data Tables (1)

B. L. Henke, E. M. Gullikson, and J. C. Davis, “X-ray interactions: photoabsorption, scattering, transmission, and reflection at E=50-30000 eV, Z=1-92,” At. Data Nucl. Data Tables 54(2), 181–342 (1993).
[Crossref]

Cytometry A (1)

G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. N. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A 73(10), 949–957 (2008).
[Crossref] [PubMed]

J. Biotechnol. (1)

A. P. Mancuso, O. M. Yefanov, and I. A. Vartanyants, “Coherent diffractive imaging of biological samples at synchrotron and free electron laser facilities,” J. Biotechnol. 149(4), 229–237 (2010).
[Crossref] [PubMed]

J. Opt. Soc. Am. A (1)

J. Struct. Biol. (2)

E. Hanssen, C. Knoechel, N. Klonis, N. Abu-Bakar, S. Deed, M. LeGros, C. Larabell, and L. Tilley, “Cryo transmission X-ray imaging of the malaria parasite, P. falciparum,” J. Struct. Biol. 173(1), 161–168 (2011).
[Crossref] [PubMed]

E. Hanssen, C. Knoechel, M. Dearnley, M. W. A. Dixon, M. A. Le Gros, C. Larabell, and L. Tilley, “Soft X-ray microscopy analysis of cell volume and hemoglobin content in erythrocytes infected with asexual and sexual stages of Plasmodium falciparum,” J. Struct. Biol. 177(2), 224–232 (2012).
[Crossref] [PubMed]

Mol. Microbiol. (1)

C. Spycher, M. Rug, E. Pachlatko, E. Hanssen, D. Ferguson, A. F. Cowman, L. Tilley, and H.-P. Beck, “The Maurer’s cleft protein MAHRP1 is essential for trafficking of PfEMP1 to the surface of Plasmodium falciparum-infected erythrocytes,” Mol. Microbiol. 68(5), 1300–1314 (2008).
[Crossref] [PubMed]

Nature (1)

S. Pagola, P. W. Stephens, D. S. Bohle, A. D. Kosar, and S. K. Madsen, “The structure of malaria pigment β-haematin,” Nature 404(6775), 307–310 (2000).
[Crossref] [PubMed]

New J. Phys. (1)

G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Fresnel coherent diffractive imaging: treatment and analysis of data,” New J. Phys. 12(3), 035020 (2010).
[Crossref]

Opt. Express (3)

Phys. Rev. A (1)

D. J. Vine, G. J. Williams, B. Abbey, M. A. Pfeifer, J. N. Clark, M. D. de Jonge, I. McNulty, A. G. Peele, and K. A. Nugent, “Ptychographic Fresnel coherent diffractive imaging,” Phys. Rev. A 80(6), 063823 (2009).
[Crossref]

Phys. Rev. Lett. (4)

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, M. A. Pfeifer, E. Balaur, I. McNulty, K. A. Nugent, and A. G. Peele, “Phase-Diverse coherent diffractive imaging: high sensitivity with low dose,” Phys. Rev. Lett. 106(1), 013903 (2011).
[Crossref] [PubMed]

M. Beckers, T. Senkbeil, T. Gorniak, M. Reese, K. Giewekemeyer, S. C. Gleber, T. Salditt, and A. Rosenhahn, “Chemical contrast in soft x-ray ptychography,” Phys. Rev. Lett. 107(20), 208101 (2011).
[Crossref] [PubMed]

G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel Coherent Diffractive Imaging,” Phys. Rev. Lett. 97(2), 025506 (2006).
[Crossref] [PubMed]

Proc. Natl. Acad. Sci. U.S.A. (3)

J. Nelson, X. Huang, J. Steinbrener, D. Shapiro, J. Kirz, S. Marchesini, A. M. Neiman, J. J. Turner, and C. Jacobsen, “High-resolution x-ray diffraction microscopy of specifically labeled yeast cells,” Proc. Natl. Acad. Sci. U.S.A. 107(16), 7235–7239 (2010).
[Crossref] [PubMed]

D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. R. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 102(43), 15343–15346 (2005).
[Crossref] [PubMed]

H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, “Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A. 107(25), 11234–11239 (2010).
[Crossref] [PubMed]

Sci. Rep. (1)

M. W. M. Jones, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, E. Balaur, D. J. Vine, I. McNulty, B. Chen, B. D. Arhatari, S. Frankland, K. A. Nugent, L. Tilley, and A. G. Peele, “Whole-cell phase contrast imaging at the nanoscale using Fresnel Coherent Diffractive Imaging Tomography,” Sci. Rep. 3, 2288 (2013).
[Crossref] [PubMed]

Ultramicroscopy (1)

C. T. Putkunz, J. N. Clark, D. J. Vine, G. J. Williams, E. Balaur, G. A. Cadenazzi, E. K. Curwood, C. A. Henderson, R. E. Scholten, R. J. Stewart, I. McNulty, K. A. Nugent, and A. G. Peele, “Mapping granular structure in the biological adhesive of Phragmatopoma californica using phase diverse coherent diffractive imaging,” Ultramicroscopy 111(8), 1184–1188 (2011).
[Crossref] [PubMed]

Other (2)

M. W. M. Jones, M. K. Dearnley, G. A. van Riessen, B. Abbey, C. T. Putkunz, M. D. Junker, D. J. Vine, I. McNulty, K. A. Nugent, A. G. Peele, and L. Tilley, “Rapid, low dose X-ray diffractive imaging of the malaria parasite Plasmodium falciparum,” Ultramicroscopy (2013), doi:.
[Crossref]

M. W. M. Jones, B. Abbey, A. Gianoncelli, M. B. Luu, H. D. Couglin, E. Balaur, C. Millet, A. G. Peele, L. Tilley, and G. A. van Riessen, “Phase-diverse Fresel coherent diffractive imaging of malaria infected red blood cells in the water window,” Opt. Express (to be published).

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Figures (3)

Fig. 1
Fig. 1 The phase (top) and magnitude (bottom) of the complex transmission function of a red blood cell infected with the malaria parasite P. falciparum at the trophozoite life-cycle stage. Results in A and C were obtained by independently constraining the phase and magnitude within π < ϕ < 0 and 0 < T < 1 , respectively. In B and D, the ratio, C, is applied as discussed in the text.
Fig. 2
Fig. 2 The phase (top) and magnitude (bottom) of the complex transmission function of a red blood cell infected with the malaria parasite P. falciparum at the sexual gametocyte life-cycle stage. Results in A and C were obtained by independently constraining the phase and magnitude to within π < ϕ < 0 and 0 < T < 1 respectively. In B and D the complex constraint, C, was applied as discussed in the text.
Fig. 3
Fig. 3 Line profiles through the reconstructions of the two samples at the positions indicated in Fig. 1(c) [Fig. 3(a)] and Fig. 2(c) [Fig. 3(b)], plotted as the thickness using the central value of the ratio C (solid and dashed lines) and the range of C (corresponding shaded area) for the phase (dashed lines) and magnitude (solid lines). Red and grey refers to the case when the complex constraint was not applied, and the case where the complex constraint was applied respectively. The label for each line refers to the corresponding panel, (A)-(D), in Figs. 1 and 2.

Tables (1)

Tables Icon

Table 1 Relative abundance of materials likely to be found in the samples and approximate values for C (Eq. (3)) obtained from [26].

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

ln( | T | )=k βzdz ,
φ=k δz dz
ln( | T P | )=k β ¯ z,
ϕ P =k δ ¯ z
C= ln( | T P | ) ϕ P = β ¯ δ ¯ .
C min C C max .
ln( | T | ) C max ϕ ln( | T | ) C min
C min ϕ ln( | T | ) C max ϕ .

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