Branching Processes Applied to Cell Surface Aggregation Phenomena - Lecture Notes in Biomathematics - Catherine A. Macken - Bøker - Springer-Verlag Berlin and Heidelberg Gm - 9783540156567 - 1. juli 1985
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Catherine A. Macken
Branching Processes Applied to Cell Surface Aggregation Phenomena - Lecture Notes in Biomathematics 1985 edition

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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.

124 pages, biography

Media Bøker     Pocketbok   (Bok med mykt omslag og limt rygg)
Utgitt 1. juli 1985
ISBN13 9783540156567
Utgivere Springer-Verlag Berlin and Heidelberg Gm
Antall sider 124
Mål 210 × 297 × 7 mm   ·   344 g
Språk Engelsk  

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