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Equilibrium probability distribution for number of bound receptor-ligand complexes

Chakrabortty, T and Varma, MM (2021) Equilibrium probability distribution for number of bound receptor-ligand complexes. In: American Journal of Physics, 89 (1). pp. 41-50.

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Official URL: https://dx.doi.org/10.1119/10.0001898


The phenomenon of molecular binding, where two molecules, referred to as a receptor and a ligand, bind together to form a ligand-receptor complex, is ubiquitous in biology and essential for the accurate functioning of all life-sustaining processes. The probability of a single receptor forming a complex with any one of L surrounding ligand molecules at thermal equilibrium can be derived from a partition function obtained from the Gibbs-Boltzmann distribution. We extend this approach to a system consisting of R receptors and L ligands to derive the probability density function p r; R, L to find r bound receptor-ligand complexes at thermal equilibrium. This extension allows us to illustrate two aspects of this problem which are not apparent in the single receptor problem, namely, (a) a symmetry to be expected in the equilibrium distribution of the number of bound complexes under exchange of R and L and (b) the number of bound complexes obtained from chemical kinetic equations has an exact correspondence to the maximum probable value of r from the expression for p r; R, L. We derive the number fluctuations of r and present a practically relevant molecular sensing application which benefits from the knowledge of p (r; R, L). © 2021 American Association of Physics Teachers.

Item Type: Journal Article
Publication: American Journal of Physics
Publisher: American Association of Physics Teachers
Additional Information: Copyright to this article belongs to American Association of Physics Teachers
Department/Centre: Division of Interdisciplinary Sciences > Robert Bosch Centre for Cyber Physical Systems
Division of Interdisciplinary Sciences > Centre for Nano Science and Engineering
Date Deposited: 01 Feb 2021 07:49
Last Modified: 01 Feb 2021 07:49
URI: http://eprints.iisc.ac.in/id/eprint/67811

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