Atnaujinkite slapukų nuostatas

Stochastic Modelling for Systems Biology [Kietas viršelis]

4.00/5 (21 ratings by Goodreads)
(School of Mathematics and Statistics, Newcastle University, UK)
  • Formatas: Hardback, 280 pages, aukštis x plotis: 235x156 mm, weight: 522 g, 80 Illustrations, black and white, Contains 11 hardbacks
  • Serija: Chapman & Hall/CRC Mathematical and Computational Biology
  • Išleidimo metai: 18-Apr-2006
  • Leidėjas: CRC Press Inc
  • ISBN-10: 1584885408
  • ISBN-13: 9781584885405
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 280 pages, aukštis x plotis: 235x156 mm, weight: 522 g, 80 Illustrations, black and white, Contains 11 hardbacks
  • Serija: Chapman & Hall/CRC Mathematical and Computational Biology
  • Išleidimo metai: 18-Apr-2006
  • Leidėjas: CRC Press Inc
  • ISBN-10: 1584885408
  • ISBN-13: 9781584885405
Kitos knygos pagal šią temą:
Although stochastic kinetic models are increasingly accepted as the best way to represent and simulate genetic and biochemical networks, most researchers in the field have limited knowledge of stochastic process theory. The stochastic processes formalism provides a beautiful, elegant, and coherent foundation for chemical kinetics and there is a wealth of associated theory every bit as powerful and elegant as that for conventional continuous deterministic models. The time is right for an introductory text written from this perspective.

Stochastic Modelling for Systems Biology presents an accessible introduction to stochastic modelling using examples that are familiar to systems biology researchers. Focusing on computer simulation, the author examines the use of stochastic processes for modelling biological systems. He provides a comprehensive understanding of stochastic kinetic modelling of biological networks in the systems biology context. The text covers the latest simulation techniques and research material, such as parameter inference, and includes many examples and figures as well as software code in R for various applications.

While emphasizing the necessary probabilistic and stochastic methods, the author takes a practical approach, rooting his theoretical development in discussions of the intended application. Written with self-study in mind, the book includes technical chapters that deal with the difficult problems of inference for stochastic kinetic models from experimental data. Providing enough background information to make the subject accessible to the non-specialist, the book integrates a fairly diverse literature into a single convenient and notationally consistent source.

Recenzijos

"This book is an excellent introduction to the concepts of stochastic modelling relevant for system biology applications based on stochastic processes . . . strongly recommended for classroom use, especially for computational systems biologists and statisticians."



W. Urfer, in Statistical Papers, 2007, Vol. 48

1 Introduction to biological modelling 1(18)
1.1 What is modelling?
1(1)
1.2 Aims of modelling
2(1)
1.3 Why is stochastic modelling necessary?
2(4)
1.4 Chemical reactions
6(2)
1.5 Modelling genetic and biochemical networks
8(8)
1.6 Modelling higher-level systems
16(1)
1.7 Exercises
17(1)
1.8 Further reading
17(2)
2 Representation of biochemical networks 19(26)
2.1 Coupled chemical reactions
19(1)
2.2 Graphical representations
19(2)
2.3 Petri nets
21(10)
2.4 Systems Biology Markup Language (SBML)
31(5)
2.5 SBML-shorthand
36(6)
2.6 Exercises
42(1)
2.7 Further reading
43(2)
3 Probability models 45(46)
3.1 Probability
45(11)
3.2 Discrete probability models
56(8)
3.3 The discrete uniform distribution
64(1)
3.4 The binomial distribution
64(1)
3.5 The geometric distribution
65(2)
3.6 The Poisson distribution
67(3)
3.7 Continuous probability models
70(5)
3.8 The uniform distribution
75(2)
3.9 The exponential distribution
77(5)
3.10 The normal/Gaussian distribution
82(4)
3.11 The gamma distribution
86(2)
3.12 Exercises
88(1)
3.13 Further reading
89(2)
4 Stochastic simulation 91(18)
4.1 Introduction
91(1)
4.2 Monte-Carlo integration
91(1)
4.3 Uniform random number generation
92(1)
4.4 Transformation methods
93(4)
4.5 Lookup methods
97(1)
4.6 Rejection samplers
98(3)
4.7 The Poisson process
101(1)
4.8 Using the statistical programming language, R
101(5)
4.9 Analysis of simulation output
106(1)
4.10 Exercises
107(1)
4.11 Further reading
108(1)
5 Markov processes 109(30)
5.1 Introduction
109(1)
5.2 Finite discrete time Markov chains
109(6)
5.3 Markov chains with continuous state space
115(6)
5.4 Markov chains in continuous time
121(12)
5.5 Diffusion processes
133(2)
5.6 Exercises
135(2)
5.7 Further reading
137(2)
6 Chemical and biochemical kinetics 139(80)
6.1 Classical continuous deterministic chemical kinetics
139(6)
6.2 Molecular approach to kinetics
145(2)
6.3 Mass-action stochastic kinetics
147(2)
6.4 The Gillespie algorithm
149(1)
6.5 Stochastic Petri nets (SPNs)
150(3)
6.6 Rate constant conversion
153(4)
6.7 The Master equation
157(3)
6.8 Software for simulating stochastic kinetic networks
160(1)
6.9 Exercises
161(1)
6.10 Further reading
161(2)
7 Case studies
163(18)
7.1 Introduction
163(1)
7.2 Dimerisation kinetics
163(5)
7.3 Michaelis-Menten enzyme kinetics
168(4)
7.4 An auto-regulatory genetic network
172(4)
7.5 The lac operon
176(2)
7.6 Exercises
178(1)
7.7 Further reading
179(2)
8 Beyond the Gillespie algorithm
181(16)
8.1 Introduction
181(1)
8.2 Exact simulation methods
181(5)
8.3 Approximate simulation strategies
186(4)
8.4 Hybrid simulation strategies
190(6)
8.5 Exercises
196(1)
8.6 Further reading
196(1)
9 Bayesian inference and MCMC
197(22)
9.1 Likelihood and Bayesian inference
197(5)
9.2 The Gibbs sampler
202(10)
9.3 The Metropolis-Hastings algorithm
212(4)
9.4 Hybrid MCMC schemes
216(1)
9.5 Exercises
216(1)
9.6 Further reading
217(2)
10 Inference for stochastic kinetic models 219(18)
10.1 Introduction
219(1)
10.2 Inference given complete data
220(3)
10.3 Discrete-time observations of the system state
223(7)
10.4 Diffusion approximations for inference
230(4)
10.5 Network inference
234(1)
10.6 Exercises
234(1)
10.7 Further reading
235(2)
11 Conclusions 237(2)
A SBML Models 239(8)
A.1 Auto-regulatory network
239(3)
A.2 Lotka-Volterra reaction system
242(1)
A.3 Dimerisation-kinetics model
243(4)
References 247(4)
Index 251