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28 March 2024
 
  » pubmed » pmid15697631

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Nucleation and growth in one dimension. I. The generalized Kolmogorov-Johnson-Mehl-Avrami model
Suckjoon Jun ; Haiyang Zhang ; John Bechhoefer ;
Date 31 Dec 2004
Journal Phys Rev E, 71 (1 Pt 1), 011908
AbstractMotivated by a recent application of the Kolmogorov-Johnson-Mehl-Avrami (KJMA) model to the study of DNA replication, we consider the one-dimensional (1D) version of this model. We generalize previous work to the case where the nucleation rate is an arbitrary function I (t) and obtain analytical results for the time-dependent distributions of various quantities (such as the island distribution). We also present improved computer simulation algorithms to study the 1D KJMA model. The analytical results and simulations are in excellent agreement.
Source PubMed, pmid15697631
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