Kinetics of rouleau formation. II. Reversible reactions.

Abstract:

:Red blood cells aggregate face-to-face to form long, cylindrical, straight chains and sometimes branched structures called rouleaux. Here we extend a kinetic model developed by R. W. Samsel and A. S. Perelson (1982, Biophys. J. 37:493-514) to include both the formation and dissociation of rouleaux. We examine thermodynamic constraints on the rate constants of the model imposed by the principle of detailed balance. Incorporation of reverse reactions allows us to compute mean sizes of rouleaux and straight chain segments within rouleaux, as functions of time and at equilibrium. Using the Flory - Stockmayer method from polymer chemistry, we obtain a closed-form solution for the size distribution of straight chain segments within rouleaux at any point in the evolution of the reaction. The predictions of our theory compare favorably with data collected by D. Kernick , A.W.L. Jay , S. Rowlands , and L. Skibo (1973, Can. J. Physiol. Pharmacol. 51:690-699) on the kinetics of rouleau formation. When rouleaux grow large, they may contain rings or loops and take on the appearance of a network. We demonstrate the importance of including the kinetics of ring closure in the development of realistic models of rouleaux formation.

journal_name

Biophys J

journal_title

Biophysical journal

authors

Samsel RW,Perelson AS

doi

10.1016/S0006-3495(84)84225-3

subject

Has Abstract

pub_date

1984-04-01 00:00:00

pages

805-24

issue

4

eissn

0006-3495

issn

1542-0086

pii

S0006-3495(84)84225-3

journal_volume

45

pub_type

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