Biology – Quantitative Biology – Subcellular Processes
Scientific paper
2012-01-12
Biology
Quantitative Biology
Subcellular Processes
11 pages, 5 figures
Scientific paper
10.1016/j.physleta.2012.01.014
We develop a coagulation-fragmentation model to study a system composed of a small number of stochastic objects moving in a confined domain, that can aggregate upon binding to form local clusters of arbitrary sizes. A cluster can also dissociate into two subclusters with a uniform probability. To study the statistics of clusters, we combine a Markov chain analysis with a partition number approach. Interestingly, we obtain explicit formulas for the size and the number of clusters in terms of hypergeometric functions. Finally, we apply our analysis to study the statistical physics of telomeres (ends of chromosomes) clustering in the yeast nucleus and show that the diffusion-coagulation-fragmentation process can predict the organization of telomeres.
Holcman David
Hoze Nathanael
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