Vesicle-vesicle adhesion by mobile lock-and-key molecules: Debye-Hückel theory and Monte Carlo simulation

Daniel Zuckerman, Robijn F. Bruinsma

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

Adhesion between cells is due to formation of weak, reversible chemical bonds between “lock” and “key” molecules imbedded in the cell surfaces. In this paper we present a theory for cell adhesion that extends the well-known Bell model of noninteracting adhesion molecules to include the cell-surface mediated elastic coupling between the molecules. We show that the statistical mechanics of this many-body problem can be mapped onto that of the two-dimensional Coulomb plasma with attractive forces. Using this mapping we find the following results: (i) the ideal-mixing state assumed by Bell and co-workers [Science 200, 618 (1978); Biophys. J. 45, 1051 (1984)] is unstable against migration of adhesion molecules to the rim of the adhesion disk in agreement with experimental observations and (ii) loss of adhesion is generally preceded by the collapse of the adhesion disk into a “stress-focused” state with enhanced adhesive strength.

Original languageEnglish (US)
Pages (from-to)964-977
Number of pages14
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume57
Issue number1
DOIs
StatePublished - Jan 1 1998
Externally publishedYes

Fingerprint

Vesicles
Adhesion
adhesion
Monte Carlo Simulation
Molecules
Adhesion Molecules
molecules
Cell
simulation
Cell Adhesion
cells
bells
Adhesives
Statistical Mechanics
Migration
Plasma
Unstable
many body problem
chemical bonds
rims

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

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abstract = "Adhesion between cells is due to formation of weak, reversible chemical bonds between “lock” and “key” molecules imbedded in the cell surfaces. In this paper we present a theory for cell adhesion that extends the well-known Bell model of noninteracting adhesion molecules to include the cell-surface mediated elastic coupling between the molecules. We show that the statistical mechanics of this many-body problem can be mapped onto that of the two-dimensional Coulomb plasma with attractive forces. Using this mapping we find the following results: (i) the ideal-mixing state assumed by Bell and co-workers [Science 200, 618 (1978); Biophys. J. 45, 1051 (1984)] is unstable against migration of adhesion molecules to the rim of the adhesion disk in agreement with experimental observations and (ii) loss of adhesion is generally preceded by the collapse of the adhesion disk into a “stress-focused” state with enhanced adhesive strength.",
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