Branching Processes Applied to Cell Surface Aggregation Phenomena

Language: English

Published by Springer Berlin Heidelberg, Springer Jul 1985, 1985

3540156569 / 9783540156567

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This item is printed on demand - Print on Demand Titel. Neuware -Aggregation processes are studied within a number of different fields--c- loid chemistry, atmospheric physics, astrophysics, polymer science, and biology, to name only a few. Aggregation pro ces ses involve monomer units (e. g. , biological cells, liquid or colloidal droplets, latex beads, molecules, or even stars) that join together to form polymers or aggregates. A quantitative theory of aggre- tion was first formulated in 1916 by Smoluchowski who proposed that the time e- lution of the aggregate size distribution is governed by the infinite system of differential equations: (1) K . . c. c. - c k = 1, 2, . . . k 1. J 1. J L ~ i+j=k j=l where c is the concentration of k-mers, and aggregates are assumed to form by ir k reversible condensation reactions [i-mer + j-mer -+ (i+j)-mer]. When the kernel K . . can be represented by A + B(i+j) + Cij, with A, B, and C constant; and the in- 1. J itial condition is chosen to correspond to a monodisperse solution (i. e. , c (0) = 1 0, k > 1), then the Smoluchowski equation can be co' a constant; and ck(O) solved exactly (Trubnikov, 1971; Drake, 1972; Ernst, Hendriks, and Ziff, 1982; Dongen and Ernst, 1983; Spouge, 1983; Ziff, 1984). For arbitrary K , the solution ij is not known and in some ca ses may not even exist.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 136 pp. Englisch.

Seller Inventory # 9783540156567

Title
Branching Processes Applied to Cell Surface Aggregation Phenomena
Author
Alan S. Perelson
Publisher
Springer Berlin Heidelberg, Springer Jul 1985
Publication year
1985
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540156569
ISBN 13
9783540156567
Item weight
374 grams
Dimensions
297x210x8 mm

buchversandmimpf2000

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