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**Harvard**

Serra, M. (2007) *A Multitype Branching Processes Approach to the Evolutionary Dynamics of Escape*. Göteborg : Chalmers University of Technology (Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, nr: 2678).

** BibTeX **

@book{

Serra2007,

author={Serra, Maria Conceicao},

title={A Multitype Branching Processes Approach to the Evolutionary Dynamics of Escape},

isbn={978-91-7291-997-6},

abstract={Evolutionary dynamics of escape is a recent development in theoretical biology. It is an attempt to predict possible patterns of population dynamics for a certain strain of viruses placed in a hostile environment. The only way to escape extinction for the virus is to find a new form better adapted to the new environment. This is usually achieved by mutations in certain positions of the genome.
In this thesis we use multitype Galton-Watson branching processes to model the evolution of such virus populations and provide answers to some of the most relevant questions arising in them.
We determine the asymptotic probability of escape for a population stemming from a single progenitor. The calculations are obtained assuming mutations are rare events and generalize results previously known for particular reproduction laws.
We also give a description of the random path to escape, that is the chain of mutations leading to the escape form of the virus. Using this description, we also study the waiting time to escape, i.e., the time it takes to produce the escape form of the virus. We start by deriving results for simple populations allowing for two-types of individuals and simple mutation schemes. Later we perform asymptotic analysis, again assuming mutations are rare, for populations with quite general reproduction and mutation schemes. },

publisher={Institutionen för matematiska vetenskaper, Chalmers tekniska högskola,},

place={Göteborg},

year={2007},

series={Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, no: 2678},

keywords={Galton-Watson branching processes, multitype, decomposable processes, population dynamics, extinction, mutation, path to escape, waiting time to escape},

}

** RefWorks **

RT Dissertation/Thesis

SR Electronic

ID 45639

A1 Serra, Maria Conceicao

T1 A Multitype Branching Processes Approach to the Evolutionary Dynamics of Escape

YR 2007

SN 978-91-7291-997-6

AB Evolutionary dynamics of escape is a recent development in theoretical biology. It is an attempt to predict possible patterns of population dynamics for a certain strain of viruses placed in a hostile environment. The only way to escape extinction for the virus is to find a new form better adapted to the new environment. This is usually achieved by mutations in certain positions of the genome.
In this thesis we use multitype Galton-Watson branching processes to model the evolution of such virus populations and provide answers to some of the most relevant questions arising in them.
We determine the asymptotic probability of escape for a population stemming from a single progenitor. The calculations are obtained assuming mutations are rare events and generalize results previously known for particular reproduction laws.
We also give a description of the random path to escape, that is the chain of mutations leading to the escape form of the virus. Using this description, we also study the waiting time to escape, i.e., the time it takes to produce the escape form of the virus. We start by deriving results for simple populations allowing for two-types of individuals and simple mutation schemes. Later we perform asymptotic analysis, again assuming mutations are rare, for populations with quite general reproduction and mutation schemes.

PB Institutionen för matematiska vetenskaper, Chalmers tekniska högskola,

T3 Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, no: 2678

LA eng

LK http://www.math.chalmers.se/Stat/Research/Preprints/Doctoral/2007/5.pdf

OL 30