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. 2000 Oct;79(4):1761–1770. doi: 10.1016/S0006-3495(00)76428-9

Diffusion in inhomogeneous media: theory and simulations applied to whole cell photobleach recovery.

E D Siggia 1, J Lippincott-Schwartz 1, S Bekiranov 1
PMCID: PMC1301070  PMID: 11023884

Abstract

A continuum description for diffusion in a simple model for an inhomogeneous but isotropic media is derived and implemented numerically. The locally averaged density of diffusible marker is input from experiment to define the sample. Then a single additional parameter, the effective diffusion constant, permits the quantitative simulation of diffusive relaxation from any initial condition. Using this simulation, it is possible to model the recovery of a fluorescently tagged protein in the endoplasmic reticulum (ER) after photobleaching a substantial region of a live cell, and fit an effective diffusion constant which is a property both of the geometry of the ER and the marker. Such quantitative measurements permit inferences about the topology and internal organization of this organelle.

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Selected References

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  1. Cole N. B., Smith C. L., Sciaky N., Terasaki M., Edidin M., Lippincott-Schwartz J. Diffusional mobility of Golgi proteins in membranes of living cells. Science. 1996 Aug 9;273(5276):797–801. doi: 10.1126/science.273.5276.797. [DOI] [PubMed] [Google Scholar]
  2. Dayel M. J., Hom E. F., Verkman A. S. Diffusion of green fluorescent protein in the aqueous-phase lumen of endoplasmic reticulum. Biophys J. 1999 May;76(5):2843–2851. doi: 10.1016/S0006-3495(99)77438-2. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. De Giorgi F., Ahmed Z., Bastianutto C., Brini M., Jouaville L. S., Marsault R., Murgia M., Pinton P., Pozzan T., Rizzuto R. Targeting GFP to organelles. Methods Cell Biol. 1999;58:75–85. doi: 10.1016/s0091-679x(08)61949-4. [DOI] [PubMed] [Google Scholar]
  4. Edidin M. Lipid microdomains in cell surface membranes. Curr Opin Struct Biol. 1997 Aug;7(4):528–532. doi: 10.1016/s0959-440x(97)80117-0. [DOI] [PubMed] [Google Scholar]
  5. Ellenberg J., Lippincott-Schwartz J., Presley J. F. Dual-colour imaging with GFP variants. Trends Cell Biol. 1999 Feb;9(2):52–56. doi: 10.1016/s0962-8924(98)01420-2. [DOI] [PubMed] [Google Scholar]
  6. Ellenberg J., Siggia E. D., Moreira J. E., Smith C. L., Presley J. F., Worman H. J., Lippincott-Schwartz J. Nuclear membrane dynamics and reassembly in living cells: targeting of an inner nuclear membrane protein in interphase and mitosis. J Cell Biol. 1997 Sep 22;138(6):1193–1206. doi: 10.1083/jcb.138.6.1193. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. Hirschberg K., Miller C. M., Ellenberg J., Presley J. F., Siggia E. D., Phair R. D., Lippincott-Schwartz J. Kinetic analysis of secretory protein traffic and characterization of golgi to plasma membrane transport intermediates in living cells. J Cell Biol. 1998 Dec 14;143(6):1485–1503. doi: 10.1083/jcb.143.6.1485. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Kubitscheck U., Wedekind P., Peters R. Lateral diffusion measurement at high spatial resolution by scanning microphotolysis in a confocal microscope. Biophys J. 1994 Sep;67(3):948–956. doi: 10.1016/S0006-3495(94)80596-X. [DOI] [PMC free article] [PubMed] [Google Scholar]
  9. Lippincott-Schwartz J., Presley J. F., Zaal K. J., Hirschberg K., Miller C. D., Ellenberg J. Monitoring the dynamics and mobility of membrane proteins tagged with green fluorescent protein. Methods Cell Biol. 1999;58:261–281. doi: 10.1016/s0091-679x(08)61960-3. [DOI] [PubMed] [Google Scholar]
  10. Marguet D., Spiliotis E. T., Pentcheva T., Lebowitz M., Schneck J., Edidin M. Lateral diffusion of GFP-tagged H2Ld molecules and of GFP-TAP1 reports on the assembly and retention of these molecules in the endoplasmic reticulum. Immunity. 1999 Aug;11(2):231–240. doi: 10.1016/s1074-7613(00)80098-9. [DOI] [PubMed] [Google Scholar]
  11. Nakata T., Terada S., Hirokawa N. Visualization of the dynamics of synaptic vesicle and plasma membrane proteins in living axons. J Cell Biol. 1998 Feb 9;140(3):659–674. doi: 10.1083/jcb.140.3.659. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Nehls S., Snapp E. L., Cole N. B., Zaal K. J., Kenworthy A. K., Roberts T. H., Ellenberg J., Presley J. F., Siggia E., Lippincott-Schwartz J. Dynamics and retention of misfolded proteins in native ER membranes. Nat Cell Biol. 2000 May;2(5):288–295. doi: 10.1038/35010558. [DOI] [PubMed] [Google Scholar]
  13. Olveczky B. P., Verkman A. S. Monte Carlo analysis of obstructed diffusion in three dimensions: application to molecular diffusion in organelles. Biophys J. 1998 May;74(5):2722–2730. doi: 10.1016/S0006-3495(98)77978-0. [DOI] [PMC free article] [PubMed] [Google Scholar]
  14. Peters R., Kubitscheck U. Scanning microphotolysis: three-dimensional diffusion measurement and optical single-transporter recording. Methods. 1999 Aug;18(4):508–517. doi: 10.1006/meth.1999.0819. [DOI] [PubMed] [Google Scholar]
  15. Polishchuk R. S., Polishchuk E. V., Marra P., Alberti S., Buccione R., Luini A., Mironov A. A. Correlative light-electron microscopy reveals the tubular-saccular ultrastructure of carriers operating between Golgi apparatus and plasma membrane. J Cell Biol. 2000 Jan 10;148(1):45–58. doi: 10.1083/jcb.148.1.45. [DOI] [PMC free article] [PubMed] [Google Scholar]
  16. Presley J. F., Cole N. B., Schroer T. A., Hirschberg K., Zaal K. J., Lippincott-Schwartz J. ER-to-Golgi transport visualized in living cells. Nature. 1997 Sep 4;389(6646):81–85. doi: 10.1038/38001. [DOI] [PubMed] [Google Scholar]
  17. Scales S. J., Pepperkok R., Kreis T. E. Visualization of ER-to-Golgi transport in living cells reveals a sequential mode of action for COPII and COPI. Cell. 1997 Sep 19;90(6):1137–1148. doi: 10.1016/s0092-8674(00)80379-7. [DOI] [PubMed] [Google Scholar]
  18. Sciaky N., Presley J., Smith C., Zaal K. J., Cole N., Moreira J. E., Terasaki M., Siggia E., Lippincott-Schwartz J. Golgi tubule traffic and the effects of brefeldin A visualized in living cells. J Cell Biol. 1997 Dec 1;139(5):1137–1155. doi: 10.1083/jcb.139.5.1137. [DOI] [PMC free article] [PubMed] [Google Scholar]
  19. Subramanian K., Meyer T. Calcium-induced restructuring of nuclear envelope and endoplasmic reticulum calcium stores. Cell. 1997 Jun 13;89(6):963–971. doi: 10.1016/s0092-8674(00)80281-0. [DOI] [PubMed] [Google Scholar]
  20. Szczesna-Skorupa E., Chen C. D., Rogers S., Kemper B. Mobility of cytochrome P450 in the endoplasmic reticulum membrane. Proc Natl Acad Sci U S A. 1998 Dec 8;95(25):14793–14798. doi: 10.1073/pnas.95.25.14793. [DOI] [PMC free article] [PubMed] [Google Scholar]
  21. Terasaki M., Chen L. B., Fujiwara K. Microtubules and the endoplasmic reticulum are highly interdependent structures. J Cell Biol. 1986 Oct;103(4):1557–1568. doi: 10.1083/jcb.103.4.1557. [DOI] [PMC free article] [PubMed] [Google Scholar]
  22. Terasaki M., Jaffe L. A., Hunnicutt G. R., Hammer J. A., 3rd Structural change of the endoplasmic reticulum during fertilization: evidence for loss of membrane continuity using the green fluorescent protein. Dev Biol. 1996 Nov 1;179(2):320–328. doi: 10.1006/dbio.1996.0263. [DOI] [PubMed] [Google Scholar]
  23. Toomre D., Keller P., White J., Olivo J. C., Simons K. Dual-color visualization of trans-Golgi network to plasma membrane traffic along microtubules in living cells. J Cell Sci. 1999 Jan;112(Pt 1):21–33. doi: 10.1242/jcs.112.1.21. [DOI] [PubMed] [Google Scholar]
  24. Tsien R. Y. The green fluorescent protein. Annu Rev Biochem. 1998;67:509–544. doi: 10.1146/annurev.biochem.67.1.509. [DOI] [PubMed] [Google Scholar]
  25. Zaal K. J., Smith C. L., Polishchuk R. S., Altan N., Cole N. B., Ellenberg J., Hirschberg K., Presley J. F., Roberts T. H., Siggia E. Golgi membranes are absorbed into and reemerge from the ER during mitosis. Cell. 1999 Dec 10;99(6):589–601. doi: 10.1016/s0092-8674(00)81548-2. [DOI] [PubMed] [Google Scholar]

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