Mathematical Biosciences Institute Lecture Series – serie
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6 produkter
Branching Process Models of Cancer
Häftad, 2015
343 kr
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This volume develops results on continuous time branching processes and applies them to study rate of tumor growth, extending classic work on the Luria-Delbruck distribution. As a consequence, the author calculate the probability that mutations that confer resistance to treatment are present at …
Stochastic Analysis of Biochemical Systems
Av David F. Anderson, Thomas G. Kurtz
Häftad, 2015
441 kr
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This book focuses on counting processes and continuous-time Markov chains motivated by examples and applications drawn from chemical networks in systems biology. The book should serve well as a supplement for courses in probability and stochastic processes. While the material is presented in a …
Stochastic Population and Epidemic Models
Persistence and Extinction
Häftad, 2015
441 kr
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This monograph provides a summary of the basic theory of branching processes for single-type and multi-type processes. Classic examples of population and epidemic models illustrate the probability of population or epidemic extinction obtained from the theory of branching processes. The first …
Stochastic Models for Structured Populations
Scaling Limits and Long Time Behavior
Av Sylvie Meleard, Vincent Bansaye
Häftad, 2015
441 kr
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In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes.Structured population dynamics are modeled by …
Stochastic Neuron Models
Av Priscilla E. Greenwood, Lawrence M. Ward
Häftad, 2016
550 kr
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This book describes a large number of open problems in the theory of stochastic neural systems, with the aim of enticing probabilists to work on them. This includes problems arising from stochastic models of individual neurons as well as those arising from stochastic models of the activities of …
Probabilistic Models of Population Evolution
Scaling Limits, Genealogies and Interactions
Häftad, 2016
365 kr
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This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of …
