Stochastic Approaches for Systems Biology

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Release : 2011-07-12
Genre : Mathematics
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Book Rating : 789/5 ( reviews)

Stochastic Approaches for Systems Biology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Approaches for Systems Biology write by Mukhtar Ullah. This book was released on 2011-07-12. Stochastic Approaches for Systems Biology available in PDF, EPUB and Kindle. This textbook focuses on stochastic analysis in systems biology containing both the theory and application. While the authors provide a review of probability and random variables, subsequent notions of biochemical reaction systems and the relevant concepts of probability theory are introduced side by side. This leads to an intuitive and easy-to-follow presentation of stochastic framework for modeling subcellular biochemical systems. In particular, the authors make an effort to show how the notion of propensity, the chemical master equation and the stochastic simulation algorithm arise as consequences of the Markov property. The text contains many illustrations, examples and exercises to illustrate the ideas and methods that are introduced. Matlab code is also provided where appropriate. Additionally, the cell cycle is introduced as a more complex case study. Senior undergraduate and graduate students in mathematics and physics as well as researchers working in the area of systems biology, bioinformatics and related areas will find this text useful.

Stochastic Modelling for Systems Biology, Third Edition

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Release : 2018-12-07
Genre : Mathematics
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Book Rating : 896/5 ( reviews)

Stochastic Modelling for Systems Biology, Third Edition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Modelling for Systems Biology, Third Edition write by Darren J. Wilkinson. This book was released on 2018-12-07. Stochastic Modelling for Systems Biology, Third Edition available in PDF, EPUB and Kindle. Since the first edition of Stochastic Modelling for Systems Biology, 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). Stochastic Modelling for Systems Biology, 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.

Stochastic Modelling for Systems Biology, Second Edition

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Release : 2011-11-09
Genre : Mathematics
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Book Rating : 724/5 ( reviews)

Stochastic Modelling for Systems Biology, Second Edition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Modelling for Systems Biology, Second Edition write by Darren J. Wilkinson. This book was released on 2011-11-09. Stochastic Modelling for Systems Biology, Second Edition available in PDF, EPUB and Kindle. Since the first edition of Stochastic Modelling for Systems Biology, there have been many interesting developments in the use of "likelihood-free" methods of Bayesian inference for complex stochastic models. Re-written to reflect this modern perspective, this second edition covers everything necessary for a good appreciation of stochastic kinetic modelling of biological networks in the systems biology context. Keeping with the spirit of the first edition, 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. New in the Second Edition All examples have been updated to Systems Biology Markup Language Level 3 All code relating to simulation, analysis, and inference for stochastic kinetic models has been re-written and re-structured in a more modular way An ancillary website provides links, resources, errata, and up-to-date information on installation and use of the associated R package More background material on the theory of Markov processes and stochastic differential equations, providing more substance for mathematically inclined readers Discussion of some of the more advanced concepts relating to stochastic kinetic models, such as random time change representations, Kolmogorov equations, Fokker-Planck equations and the linear noise approximation Simple modelling of "extrinsic" and "intrinsic" noise An effective introduction to the area of stochastic modelling in computational systems biology, this new edition adds additional mathematical detail and computational methods that will provide a stronger foundation for the development of more advanced courses in stochastic biological modelling.

Stochastic Dynamics in Computational Biology

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Release : 2021-01-04
Genre : Mathematics
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Book Rating : 874/5 ( reviews)

Stochastic Dynamics in Computational Biology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Dynamics in Computational Biology write by Stefanie Winkelmann. This book was released on 2021-01-04. Stochastic Dynamics in Computational Biology available in PDF, EPUB and Kindle. The aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-stochastic hybrid model recombinations. Another main objective is to illustrate and compare diverse numerical simulation schemes and their computational effort. Unlike related works, this book presents a broad scope in its applications, from offering a detailed introduction to hybrid approaches for the case of multiple population scales to discussing the setting of time-scale separation resulting from widely varying firing rates of reaction channels. Additionally, it also addresses modeling approaches for non well-mixed reaction-diffusion dynamics, including deterministic and stochastic PDEs and spatiotemporal master equations. Finally, by translating and incorporating complex theory to a level accessible to non-mathematicians, this book effectively bridges the gap between mathematical research in computational biology and its practical use in biological, biochemical, and biomedical systems.

Stochastic Dynamics for Systems Biology

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Release : 2016-04-19
Genre : Mathematics
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Book Rating : 949/5 ( reviews)

Stochastic Dynamics for Systems Biology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Dynamics for Systems Biology write by Christian Mazza. This book was released on 2016-04-19. Stochastic Dynamics for Systems Biology available in PDF, EPUB and Kindle. 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