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Theory of Two-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

The central theme of the previous two chapters was the diffusion of proteins in the cell membrane. In this chapter we are going to use some of that work to study two-stage chemoreception, which is related to the ability of most cells to bind certain ligands nonspecifically, i.e. many ligands can bind weakly to the nonreceptor portion of the cell surface as well as specifically to appropriate receptors. Consequently, ligands may bind nonspecifically and then diffuse in the plane of the membrane until they encounter a receptor molecule. Such binding paths are often referred to as non-specific. These paths will be in competition with specific paths that involve binding directly from solution; in general both types of paths will contribute to the rate with which the cell captures ligands. In this short chapter we develop the theory of two-stage chemoreception for the standard model of chapter IV, following some work by Wiegel and DeLisi [1].

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References to chapter VIII

  1. F.W. Wiegel and C. DeLisi. Evaluation of reaction rate enhancement by reduction in dimensionality. Am. J. Physiol. 12 (1982) R475-R479

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  2. O.G. Berg and C. Blomberg. Association kinetics with coupled diffusional flows: Special application to the Lac repressor-operator system. Biophys. Chem. 4 (1976) 367–381

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  3. O.G. Berg and C. Blomberg. Association kinetics with coupled diffusion: An extension to coiled chain macromolecules applied to the Lac repressor-operator system. Biophys. Chem. 7 (1977) 33–39

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  4. M.V. Berry. Quantizing a classically ergodic system: Sinai’s billiard and the KKR method. Ann. Phys. 131 (1981) 163–216.

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© 1991 Springer-Verlag Berlin Heidelberg

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Wiegel, F.W. (1991). Theory of Two-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_8

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  • DOI: https://doi.org/10.1007/978-3-642-51673-3_8

  • 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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