Some probability distributions in modeling DNA replication

• 成果类型: Article
• 署名作者: Lachal, A
• 署名单位: Institut National des Sciences Appliquees de Lyon - INSA Lyon
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/aoap/1060202839
• 发表日期: 2003
• 页码: 1207-1230
• 关键词: cells

摘要

By using some quasi-renewal-like equations and functional differential equations, we explicitly compute the Laplace transforms of some random variables introduced by Cowan and Chiu in modeling the mechanism of replication of a DNA molecule [J. Appl. Probab. (1994) 31 301-308]. These Laplace transforms are expressed by means of infinite products arising in the theory of partitions.