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Stochastic Dynamics for Systems Biology
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Stochastic Dynamics for Systems Biology

Stochastic Dynamics for Systems Biology

ByChristian Mazza, Michel Benaim
Edition 1st Edition
First Published 2014
eBook Published 19 April 2016
Pub. location New York
Imprint Chapman and Hall/CRC
DOIhttps://doi.org/10.1201/b16651
Pages 274 pages
eBook ISBN 9781466514942
SubjectsBioscience, Engineering & Technology, Mathematics & Statistics
Get Citation

Get Citation

Mazza, C., Benaim, M. (2014). Stochastic Dynamics for Systems Biology. New York: Chapman and Hall/CRC, https://doi.org/10.1201/b16651
ABOUT THIS BOOK

Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual insights on the functioning of the cellular processing

TABLE OF CONTENTS
part 1|2 pages
Dynamics of reaction networks: Markov processes
chapter 1|24 pages
Reaction networks: introduction
View abstract
chapter 2|24 pages
Continuous-time Markov chains
View abstract
part 2|2 pages
Illustrations from systems biology
chapter 3|12 pages
First-order chemical reaction networks
View abstract
chapter 4|12 pages
Biochemical pathways
View abstract
chapter 5|32 pages
Binding processes and transcription rates
View abstract
chapter 6|10 pages
Kinetics of binding processes
View abstract
chapter 7|12 pages
Transcription factor binding at nucleosomal DNA
View abstract
chapter 8|6 pages
Signalling switches
View abstract
part 3|2 pages
Part III A short course on dynamical systems
chapter 9|14 pages
Differential equations, flows and vector fields
View abstract
chapter 10|30 pages
Equilibria, periodic orbits and limit cycles
View abstract
part 4|2 pages
Part IV Linear noise approximation
chapter 12|20 pages
Density dependent population processes and the linear noise approximation
View abstract
chapter 13|14 pages
Mass action kinetics
View abstract

Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual insights on the functioning of the cellular processing

TABLE OF CONTENTS
part 1|2 pages
Dynamics of reaction networks: Markov processes
chapter 1|24 pages
Reaction networks: introduction
View abstract
chapter 2|24 pages
Continuous-time Markov chains
View abstract
part 2|2 pages
Illustrations from systems biology
chapter 3|12 pages
First-order chemical reaction networks
View abstract
chapter 4|12 pages
Biochemical pathways
View abstract
chapter 5|32 pages
Binding processes and transcription rates
View abstract
chapter 6|10 pages
Kinetics of binding processes
View abstract
chapter 7|12 pages
Transcription factor binding at nucleosomal DNA
View abstract
chapter 8|6 pages
Signalling switches
View abstract
part 3|2 pages
Part III A short course on dynamical systems
chapter 9|14 pages
Differential equations, flows and vector fields
View abstract
chapter 10|30 pages
Equilibria, periodic orbits and limit cycles
View abstract
part 4|2 pages
Part IV Linear noise approximation
chapter 12|20 pages
Density dependent population processes and the linear noise approximation
View abstract
chapter 13|14 pages
Mass action kinetics
View abstract
CONTENTS
ABOUT THIS BOOK

Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual insights on the functioning of the cellular processing

TABLE OF CONTENTS
part 1|2 pages
Dynamics of reaction networks: Markov processes
chapter 1|24 pages
Reaction networks: introduction
View abstract
chapter 2|24 pages
Continuous-time Markov chains
View abstract
part 2|2 pages
Illustrations from systems biology
chapter 3|12 pages
First-order chemical reaction networks
View abstract
chapter 4|12 pages
Biochemical pathways
View abstract
chapter 5|32 pages
Binding processes and transcription rates
View abstract
chapter 6|10 pages
Kinetics of binding processes
View abstract
chapter 7|12 pages
Transcription factor binding at nucleosomal DNA
View abstract
chapter 8|6 pages
Signalling switches
View abstract
part 3|2 pages
Part III A short course on dynamical systems
chapter 9|14 pages
Differential equations, flows and vector fields
View abstract
chapter 10|30 pages
Equilibria, periodic orbits and limit cycles
View abstract
part 4|2 pages
Part IV Linear noise approximation
chapter 12|20 pages
Density dependent population processes and the linear noise approximation
View abstract
chapter 13|14 pages
Mass action kinetics
View abstract

Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual insights on the functioning of the cellular processing

TABLE OF CONTENTS
part 1|2 pages
Dynamics of reaction networks: Markov processes
chapter 1|24 pages
Reaction networks: introduction
View abstract
chapter 2|24 pages
Continuous-time Markov chains
View abstract
part 2|2 pages
Illustrations from systems biology
chapter 3|12 pages
First-order chemical reaction networks
View abstract
chapter 4|12 pages
Biochemical pathways
View abstract
chapter 5|32 pages
Binding processes and transcription rates
View abstract
chapter 6|10 pages
Kinetics of binding processes
View abstract
chapter 7|12 pages
Transcription factor binding at nucleosomal DNA
View abstract
chapter 8|6 pages
Signalling switches
View abstract
part 3|2 pages
Part III A short course on dynamical systems
chapter 9|14 pages
Differential equations, flows and vector fields
View abstract
chapter 10|30 pages
Equilibria, periodic orbits and limit cycles
View abstract
part 4|2 pages
Part IV Linear noise approximation
chapter 12|20 pages
Density dependent population processes and the linear noise approximation
View abstract
chapter 13|14 pages
Mass action kinetics
View abstract
ABOUT THIS BOOK
ABOUT THIS BOOK

Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual insights on the functioning of the cellular processing

TABLE OF CONTENTS
part 1|2 pages
Dynamics of reaction networks: Markov processes
chapter 1|24 pages
Reaction networks: introduction
View abstract
chapter 2|24 pages
Continuous-time Markov chains
View abstract
part 2|2 pages
Illustrations from systems biology
chapter 3|12 pages
First-order chemical reaction networks
View abstract
chapter 4|12 pages
Biochemical pathways
View abstract
chapter 5|32 pages
Binding processes and transcription rates
View abstract
chapter 6|10 pages
Kinetics of binding processes
View abstract
chapter 7|12 pages
Transcription factor binding at nucleosomal DNA
View abstract
chapter 8|6 pages
Signalling switches
View abstract
part 3|2 pages
Part III A short course on dynamical systems
chapter 9|14 pages
Differential equations, flows and vector fields
View abstract
chapter 10|30 pages
Equilibria, periodic orbits and limit cycles
View abstract
part 4|2 pages
Part IV Linear noise approximation
chapter 12|20 pages
Density dependent population processes and the linear noise approximation
View abstract
chapter 13|14 pages
Mass action kinetics
View abstract

Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual insights on the functioning of the cellular processing

TABLE OF CONTENTS
part 1|2 pages
Dynamics of reaction networks: Markov processes
chapter 1|24 pages
Reaction networks: introduction
View abstract
chapter 2|24 pages
Continuous-time Markov chains
View abstract
part 2|2 pages
Illustrations from systems biology
chapter 3|12 pages
First-order chemical reaction networks
View abstract
chapter 4|12 pages
Biochemical pathways
View abstract
chapter 5|32 pages
Binding processes and transcription rates
View abstract
chapter 6|10 pages
Kinetics of binding processes
View abstract
chapter 7|12 pages
Transcription factor binding at nucleosomal DNA
View abstract
chapter 8|6 pages
Signalling switches
View abstract
part 3|2 pages
Part III A short course on dynamical systems
chapter 9|14 pages
Differential equations, flows and vector fields
View abstract
chapter 10|30 pages
Equilibria, periodic orbits and limit cycles
View abstract
part 4|2 pages
Part IV Linear noise approximation
chapter 12|20 pages
Density dependent population processes and the linear noise approximation
View abstract
chapter 13|14 pages
Mass action kinetics
View abstract
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