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Theory of One-Stage Chemoreception

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Physical Principles in Chemoreception

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 91))

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Abstract

Once the ligand current into a single receptor is known, the next task is to develop a general theory for the rate of absorption of ligands by a cell of any shape that carries a large number of identical receptors in its cell membrane (cf. section 1.4 (d)). In this chapter we address this problem, using the effective boundary condition method of DeLisi and Wiegel [1] and Wiegel [2], which can in principle be applied to cells of any shape, with an arbitrary distribution of receptors in the cell membrane. We shall include cases in which there are forces acting between the ligands and the cell and a flow field is present too.

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References to chapter IV

  1. C. DeLisi and F.W. Wiegel. Effect of nonspecific forces and finite receptor number on rate constants of ligand — cell bound receptor interactions. Proc. Natl. Acad. Sci. USA 78 (1981) 5569–5572.

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  2. F.W. Wiegel. Diffusion and the physics of chemoreception. Phys. Reports 95 (1983) 283–319.

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  5. B.B. Mandelbrot. Fractals (Freeman, San Francisco, 1977).

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  6. B.J. Geurts and F.W. Wiegel. Time-dependent ligand current into a single cell performing chemoreception. Biophys. Chem. 28 (1987) 7–12.

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  7. H.S. Carslaw and J.C. Jaeger. Conduction of Heat in Solids (Clarendon Press, Oxford, 1959).

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  8. B.J. Geurts and F.W. Wiegel. Time-dependent ligand current into a saturating cell performing chemoreception. Biophys. Chem. 31 (1988) 317–324.

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  9. C. DeLisi. The biophysics of ligand-receptor interactions. Q. Rev. Biophys. 13 (1980) 201–230.

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Authors and Affiliations

  1. Center for Theoretical Physics, Department of Applied Physics, University of Twente, Enschede, 7500 AE, The Netherlands

    Frederik W. Wiegel

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  1. Frederik W. Wiegel
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© 1991 Springer-Verlag Berlin Heidelberg

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Wiegel, F.W. (1991). Theory of One-Stage Chemoreception. In: Physical Principles in Chemoreception. Lecture Notes in Biomathematics, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51673-3_4

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  • DOI: https://doi.org/10.1007/978-3-642-51673-3_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54319-0

  • Online ISBN: 978-3-642-51673-3

  • eBook Packages: Springer Book Archive

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