Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology, cellular biology, human evolution and medicine. The branching processes discussed include Galton-Watson, Markov, Bellman-Harris, ...
Processes from molecular and cellular biology as well as from the fields of human evolution and medicine and discusses them in the context of the relevant mathematics. It provides a useful introduction to how the modeling can be done and for what types of problems branching processes can be ...
Branching processes in biologyBranching processes in biologyDonald, L SparksKimmel, M., Axelrod, D. E. Branching Processes in Biology. Springer: New York, 2002.Kimmel M, Axelrod DE. 2002. Branching processes in biol- ogy. New York: Springer.Donald...
Population biology, Mathematical models, Branching processesBranching processes play an important role in models of genetics, molecular biology, microbiology, ecology and evolutionary theory. This thesis explores three aspects of branching processes with biological applications. The first part of the thesis ...
Branching Processes in Biology 作者:Kimmel, Marek; Axelrod, David E.; 页数:252 ISBN:9781441929587 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到 推荐 我要写书评 Branching Processes in Biology的书评 ···(全部 0 条) 论坛·...
Probability, Statistics, and Mathematics: Papers in Honor of Samuel Karlin, pp. 103–121. Academic Press, Boston (1989) Chapter Google Scholar Kimmel, M., Axelrod, D.A.: Branching Processes in Biology. Springer, New York (2015). (2nd extended edition) Book Google Scholar Kurkova, I.:...
JUSOP Theory,丸山, 儀四郎 - 《Lecture Notes in Mathematics》 被引量: 106发表: 1973年 A branching process, its application in biology: Influence of demographic parameters on the social structure in mammal groups Branching processes are widely used in biology. This theoretical tool is used in cel...
We consider continuous-state branching (CB) processes which become extinct (i.e., hit 0) with positive probability. We characterize all the quasi-stationar... A Lambert - 《Electronic Journal of Probability》 被引量: 190发表: 2007年 Trees Generated by a Simple Branching Process In this paper...
We extend in two directions our previous results about the sampling and the empirical measures of immortal branching Markov processes. Direct applications to molecular biology are rigorous estimates of the mutation rates of polymerase chain reactions from uniform samples of the population after the reacti...
The methods employed in branching processes allow questions about extinction and survival in ecol-ogy and evolutionary biology to be addressed. For ex-ample, suppose we are interested in family names, as in Galton’s original problem, or in the spread of a poten-tially lethal mutant gene that...