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Biochemical Journal logoLink to Biochemical Journal
. 2000 Sep 15;350(Pt 3):901–907.

Diffusion control of protein phosphorylation in signal transduction pathways.

B N Kholodenko 1, G C Brown 1, J B Hoek 1
PMCID: PMC1221325  PMID: 10970807

Abstract

Multiple signalling proteins are phosphorylated and dephosphorylated at separate cellular locations, which potentially causes spatial gradients of phospho-proteins within the cell. We have derived relationships that enable us to estimate the extent to which a protein kinase, a phosphatase and the diffusion of signalling proteins control the protein phosphorylation flux and the phospho-protein gradient. Two different cellular geometries were analysed: (1) the kinase is located on one planar membrane and the phosphatase on a second parallel planar membrane, and (2) the kinase is located on the plasma membrane of a spherical cell and the phosphatase is distributed homogeneously in the cytoplasm. We demonstrate that the control contribution of protein diffusion is potentially significant, given the measured rates for protein kinases, phosphatases and diffusion. If the distance between the membranes is 1 microm or greater, the control by diffusion can reach 33% or more, with the rest of the control (67%) shared by the kinase and the phosphatase. At distances of less than 0.1 microm, diffusion does not limit protein phosphorylation. For a spherical cell of radius 10 microm, a protein diffusion coefficient of 10(-8) cm(2). s(-1) and rate constants for the kinase and the phosphatase of approx. 1 s(-1), control over the phosphorylation flux resides mainly with the phosphatase and protein diffusion, with approximately equal contributions of each of these. The ratio of phospho-protein concentrations at the cell membrane and the cell centre (the dynamic compartmentation of the phospho-protein) is shown to be controlled by the rates of the protein phosphatase and of diffusion. The kinase can contribute significantly to the control of the absolute value of the phospho-protein gradient.

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Selected References

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  1. Aliev M. K., Saks V. A. Compartmentalized energy transfer in cardiomyocytes: use of mathematical modeling for analysis of in vivo regulation of respiration. Biophys J. 1997 Jul;73(1):428–445. doi: 10.1016/S0006-3495(97)78082-2. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Arrio-Dupont M., Foucault G., Vacher M., Douhou A., Cribier S. Mobility of creatine phosphokinase and beta-enolase in cultured muscle cells. Biophys J. 1997 Nov;73(5):2667–2673. doi: 10.1016/S0006-3495(97)78295-X. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Bray D. Signaling complexes: biophysical constraints on intracellular communication. Annu Rev Biophys Biomol Struct. 1998;27:59–75. doi: 10.1146/annurev.biophys.27.1.59. [DOI] [PubMed] [Google Scholar]
  4. Brown G. C., Kholodenko B. N. Spatial gradients of cellular phospho-proteins. FEBS Lett. 1999 Sep 3;457(3):452–454. doi: 10.1016/s0014-5793(99)01058-3. [DOI] [PubMed] [Google Scholar]
  5. 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]
  6. Fell D. A. Computer simulations of the rate of change of concentration of adenosine 3':5'-cyclic monophosphate after stimulation of adenylate cyclase activity [proceedings]. Biochem Soc Trans. 1980 Feb;8(1):139–140. doi: 10.1042/bst0080139a. [DOI] [PubMed] [Google Scholar]
  7. Fell D. A. Metabolic control analysis: a survey of its theoretical and experimental development. Biochem J. 1992 Sep 1;286(Pt 2):313–330. doi: 10.1042/bj2860313. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Fell D. A. Theoretical analyses of the functioning of the high- and low-Km cyclic nucleotide phosphodiesterases in the regulation of the concentration of adenosine 3',5'-cyclic monophosphate in animal cells. J Theor Biol. 1980 May 21;84(2):361–385. doi: 10.1016/s0022-5193(80)80011-7. [DOI] [PubMed] [Google Scholar]
  9. Fjeld C. C., Denu J. M. Kinetic analysis of human serine/threonine protein phosphatase 2Calpha. J Biol Chem. 1999 Jul 16;274(29):20336–20343. doi: 10.1074/jbc.274.29.20336. [DOI] [PubMed] [Google Scholar]
  10. Garrington T. P., Johnson G. L. Organization and regulation of mitogen-activated protein kinase signaling pathways. Curr Opin Cell Biol. 1999 Apr;11(2):211–218. doi: 10.1016/s0955-0674(99)80028-3. [DOI] [PubMed] [Google Scholar]
  11. Gershon N. D., Porter K. R., Trus B. L. The cytoplasmic matrix: its volume and surface area and the diffusion of molecules through it. Proc Natl Acad Sci U S A. 1985 Aug;82(15):5030–5034. doi: 10.1073/pnas.82.15.5030. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Haugh J. M., Lauffenburger D. A. Analysis of receptor internalization as a mechanism for modulating signal transduction. J Theor Biol. 1998 Nov 21;195(2):187–218. doi: 10.1006/jtbi.1998.0791. [DOI] [PubMed] [Google Scholar]
  13. Haugh J. M., Lauffenburger D. A. Physical modulation of intracellular signaling processes by locational regulation. Biophys J. 1997 May;72(5):2014–2031. doi: 10.1016/S0006-3495(97)78846-5. [DOI] [PMC free article] [PubMed] [Google Scholar]
  14. Heinrich R., Rapoport T. A. A linear steady-state treatment of enzymatic chains. General properties, control and effector strength. Eur J Biochem. 1974 Feb 15;42(1):89–95. doi: 10.1111/j.1432-1033.1974.tb03318.x. [DOI] [PubMed] [Google Scholar]
  15. Hirsch D. D., Stork P. J. Mitogen-activated protein kinase phosphatases inactivate stress-activated protein kinase pathways in vivo. J Biol Chem. 1997 Feb 14;272(7):4568–4575. doi: 10.1074/jbc.272.7.4568. [DOI] [PubMed] [Google Scholar]
  16. Jaaro H., Rubinfeld H., Hanoch T., Seger R. Nuclear translocation of mitogen-activated protein kinase kinase (MEK1) in response to mitogenic stimulation. Proc Natl Acad Sci U S A. 1997 Apr 15;94(8):3742–3747. doi: 10.1073/pnas.94.8.3742. [DOI] [PMC free article] [PubMed] [Google Scholar]
  17. Jacobson K., Wojcieszyn J. The translational mobility of substances within the cytoplasmic matrix. Proc Natl Acad Sci U S A. 1984 Nov;81(21):6747–6751. doi: 10.1073/pnas.81.21.6747. [DOI] [PMC free article] [PubMed] [Google Scholar]
  18. Jacobus W. E. Theoretical support for the heart phosphocreatine energy transport shuttle based on the intracellular diffusion limited mobility of ADP. Biochem Biophys Res Commun. 1985 Dec 31;133(3):1035–1041. doi: 10.1016/0006-291x(85)91240-9. [DOI] [PubMed] [Google Scholar]
  19. Kacser H., Burns J. A. The control of flux. Symp Soc Exp Biol. 1973;27:65–104. [PubMed] [Google Scholar]
  20. Kahn D., Westerhoff H. V. Control theory of regulatory cascades. J Theor Biol. 1991 Nov 21;153(2):255–285. doi: 10.1016/s0022-5193(05)80426-6. [DOI] [PubMed] [Google Scholar]
  21. Kholodenko B. N., Demin O. V., Moehren G., Hoek J. B. Quantification of short term signaling by the epidermal growth factor receptor. J Biol Chem. 1999 Oct 15;274(42):30169–30181. doi: 10.1074/jbc.274.42.30169. [DOI] [PubMed] [Google Scholar]
  22. Kholodenko B. N., Hoek J. B., Westerhoff H. V., Brown G. C. Quantification of information transfer via cellular signal transduction pathways. FEBS Lett. 1997 Sep 8;414(2):430–434. doi: 10.1016/s0014-5793(97)01018-1. [DOI] [PubMed] [Google Scholar]
  23. Kholodenko B. N., Hoek J. B., Westerhoff H. V. Why cytoplasmic signalling proteins should be recruited to cell membranes. Trends Cell Biol. 2000 May;10(5):173–178. doi: 10.1016/s0962-8924(00)01741-4. [DOI] [PubMed] [Google Scholar]
  24. Kholodenko B. N., Sauro H. M., Westerhoff H. V. Control by enzymes, coenzymes and conserved moieties. A generalisation of the connectivity theorem of metabolic control analysis. Eur J Biochem. 1994 Oct 1;225(1):179–186. doi: 10.1111/j.1432-1033.1994.00179.x. [DOI] [PubMed] [Google Scholar]
  25. Lewis T. S., Shapiro P. S., Ahn N. G. Signal transduction through MAP kinase cascades. Adv Cancer Res. 1998;74:49–139. doi: 10.1016/s0065-230x(08)60765-4. [DOI] [PubMed] [Google Scholar]
  26. Pawson T., Scott J. D. Signaling through scaffold, anchoring, and adaptor proteins. Science. 1997 Dec 19;278(5346):2075–2080. doi: 10.1126/science.278.5346.2075. [DOI] [PubMed] [Google Scholar]
  27. Pepperkok R., Bré M. H., Davoust J., Kreis T. E. Microtubules are stabilized in confluent epithelial cells but not in fibroblasts. J Cell Biol. 1990 Dec;111(6 Pt 2):3003–3012. doi: 10.1083/jcb.111.6.3003. [DOI] [PMC free article] [PubMed] [Google Scholar]
  28. Todd J. L., Tanner K. G., Denu J. M. Extracellular regulated kinases (ERK) 1 and ERK2 are authentic substrates for the dual-specificity protein-tyrosine phosphatase VHR. A novel role in down-regulating the ERK pathway. J Biol Chem. 1999 May 7;274(19):13271–13280. doi: 10.1074/jbc.274.19.13271. [DOI] [PubMed] [Google Scholar]
  29. Westerhoff H. V., Welch G. R. Enzyme organization and the direction of metabolic flow: physicochemical considerations. Curr Top Cell Regul. 1992;33:361–390. doi: 10.1016/b978-0-12-152833-1.50026-5. [DOI] [PubMed] [Google Scholar]
  30. Widmann C., Gibson S., Jarpe M. B., Johnson G. L. Mitogen-activated protein kinase: conservation of a three-kinase module from yeast to human. Physiol Rev. 1999 Jan;79(1):143–180. doi: 10.1152/physrev.1999.79.1.143. [DOI] [PubMed] [Google Scholar]

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