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**Stochastic modelling for systems biology.
3rd edition.**
*(English)*
Zbl 1403.92003

Chapman & Hall/CRC Mathematical and Computational Biology Series. Boca Raton, FL: CRC Press (ISBN 978-1-138-54928-9/hbk). xix, 384 p. (2019).

Publisher’s description: Since the first edition of this book, there have been many interesting developments in the use of “likelihood-free” methods of Bayesian inference for complex stochastic models. Having been thoroughly updated to reflect this, this third edition covers everything necessary for a good appreciation of stochastic kinetic modelling of biological networks in the systems biology context. New methods and applications are included in the book, and the use of R for practical illustration of the algorithms has been greatly extended. There is a brand new chapter on spatially extended systems, and the statistical inference chapter has also been extended with new methods, including approximate Bayesian computation (ABC). This third edition is now supplemented by an additional software library, written in Scala, described in a new appendix to the book.

New in the third edition:

– New chapter on spatially extended systems, covering the spatial Gillespie algorithm for reaction diffusion master equation models in 1- and 2-d, along with fast approximations based on the spatial chemical Langevin equation

– Significantly expanded chapter on inference for stochastic kinetic models from data, covering ABC, including ABC-SMC

– Updated R package, including code relating to all of the new material

– New R package for parsing SBML models into simulatable stochastic Petri net models

– New open-source software library, written in Scala, replicating most of the functionality of the R packages in a fast, compiled, strongly typed, functional language

Keeping with the spirit of earlier editions, all of the new theory is presented in a very informal and intuitive manner, keeping the text as accessible as possible to the widest possible readership. An effective introduction to the area of stochastic modelling in computational systems biology, this new edition adds additional detail and computational methods that will provide a stronger foundation for the development of more advanced courses in stochastic biological modelling.

See the review of the first edition in [Zbl 1099.92004]. For the second edition see [Zbl 1300.92004].

New in the third edition:

– New chapter on spatially extended systems, covering the spatial Gillespie algorithm for reaction diffusion master equation models in 1- and 2-d, along with fast approximations based on the spatial chemical Langevin equation

– Significantly expanded chapter on inference for stochastic kinetic models from data, covering ABC, including ABC-SMC

– Updated R package, including code relating to all of the new material

– New R package for parsing SBML models into simulatable stochastic Petri net models

– New open-source software library, written in Scala, replicating most of the functionality of the R packages in a fast, compiled, strongly typed, functional language

Keeping with the spirit of earlier editions, all of the new theory is presented in a very informal and intuitive manner, keeping the text as accessible as possible to the widest possible readership. An effective introduction to the area of stochastic modelling in computational systems biology, this new edition adds additional detail and computational methods that will provide a stronger foundation for the development of more advanced courses in stochastic biological modelling.

See the review of the first edition in [Zbl 1099.92004]. For the second edition see [Zbl 1300.92004].

### MSC:

92-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to biology |

92C40 | Biochemistry, molecular biology |

92C42 | Systems biology, networks |

62P10 | Applications of statistics to biology and medical sciences; meta analysis |

60J20 | Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) |