Cargando…
Population Biology and Criticality : From Critical Birth-Death Processes to Self-Organized Criticality in Mutation Pathogen Systems.
The present book describes novel theories of mutation pathogen systems showing critical fluctuations, as a paradigmatic example of an application of the mathematics of critical phenomena to the life sciences. It will enable the reader to understand the implications and future impact of these finding...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific,
2010.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn741492808 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n|---||||| | ||
| 008 | 110718s2010 si o 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d OCLCQ |d DEBSZ |d OCLCQ |d ZCU |d MERUC |d ICG |d OCLCO |d OCLCF |d OCLCQ |d OCLCO |d AU@ |d OCLCQ |d DKC |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 020 | |a 9781848164024 | ||
| 020 | |a 1848164025 | ||
| 029 | 1 | |a AU@ |b 000048829206 | |
| 029 | 1 | |a DEBBG |b BV044156243 | |
| 029 | 1 | |a DEBSZ |b 397022794 | |
| 029 | 1 | |a DEBSZ |b 456483845 | |
| 029 | 1 | |a AU@ |b 000073139005 | |
| 035 | |a (OCoLC)741492808 | ||
| 050 | 4 | |a QH460 .S76 2010 | |
| 082 | 0 | 4 | |a 570 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Stollenwerk, Nico. | |
| 245 | 1 | 0 | |a Population Biology and Criticality : |b From Critical Birth-Death Processes to Self-Organized Criticality in Mutation Pathogen Systems. |
| 260 | |a Singapore : |b World Scientific, |c 2010. | ||
| 300 | |a 1 online resource (250 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 520 | |a The present book describes novel theories of mutation pathogen systems showing critical fluctuations, as a paradigmatic example of an application of the mathematics of critical phenomena to the life sciences. It will enable the reader to understand the implications and future impact of these findings, yet at same time allow him to actively follow the mathematical tools and scientific origins of critical phenomena. This book also seeks to pave the way to further fruitful applications of the mathematics of critical phenomena in other fields of the life sciences. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface; Contents; Chapter 1 From Deterministic to Stochastic Dynamics; 1.1 Basic Probability Theory: The Tool Box; 1.2 Stochastic Description of a Deterministic System: The Ulam Map; 1.3 A Fully Stochastic Dynamic System: The AR(1)-Process; 1.4 From Perron-Frobenius to Master Equation; 1.5 A First Example of a Master Equation: The Linear Infection Model; 1.5.1 Solving the first example of a master equation; 1.5.2 Solution of the linear infection model; 1.5.3 Mean value and its dynamics; 1.5.4 Mean dynamics; 1.6 The Birth and Death Process, a Non-Linear Stochastic System. | |
| 505 | 8 | |a 1.7 Solution of the Birth-Death ODE Shows Criticality1.7.1 Numerical integration shows power law at criticality; 1.7.2 Temporal correlation length diverges at criticality; Chapter 2 Spatial Stochastic Birth-Death Process or SIS-Epidemics; 2.1 The Spatial Master Equation; 2.1.1 A first inspection of the spatial birth-death process; 2.2 Clusters and their Dynamics; 2.2.1 Time evolution of marginals and local expectations; 2.3 Moment Equations; 2.3.1 Mean field behavior; 2.3.2 Pair approximation; 2.4 The SIS Dynamics under Pair Approximation; 2.5 Conclusions and Further Reading. | |
| 505 | 8 | |a Chapter 3 Criticality in Equilibrium Systems3.1 The Glauber Model: Stochastic Dynamics for the Ising Model; 3.1.1 A first glance at the dynamic Ising model; 3.2 The Ising Model, a Paradigm for Equilibrium Phase Transitions; 3.2.1 Distribution of magnetization and Gibbs free energy; 3.3 Equilibrium Distribution around Criticality; 3.3.1 Distribution of magnetization; 3.3.2 External magnetic field; 3.3.3 The maximum of the total magnetization distribution; 3.3.3.1 Approximation with Lagrange polynomials; 3.3.3.2 The maximum magnetization with changing parameters. | |
| 505 | 8 | |a 4.1 A Model with Partial Immunization: SIRI4.2 Local Quantities; 4.3 Dynamics Equations for Global Pairs; 4.3.1 The SIRI dynamics under pair approximation; 4.3.2 Balance equations for means and pairs; 4.4 Mean Field Model: SIRI with Reintroduced Susceptibles; 4.4.1 Pair dynamics for the SIRI model; 4.5 Fruitful Transfer between Equilibrium and Non-Equilibrium Systems; Chapter 5 Renormalization and Series Expansion: Techniques to Study Criticality; 5.1 Introduction; 5.2 Real Space Renormalization in One-Dimensional Lattice Gas; 5.3 Directed Percolation and Path Integrals. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Population biology. | |
| 650 | 0 | |a Critical phenomena (Physics) | |
| 650 | 6 | |a Biologie des populations. | |
| 650 | 6 | |a Phénomène critique (Physique) | |
| 650 | 7 | |a Critical phenomena (Physics) |2 fast | |
| 650 | 7 | |a Population biology |2 fast | |
| 700 | 1 | |a Jansen, Vincent. | |
| 758 | |i has work: |a Population Biology and Criticality (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFJf4c4cK9HWRHX8CrYByd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Stollenwerk, Nico. |t Population Biology and Criticality : From Critical Birth-Death Processes to Self-Organized Criticality in Mutation Pathogen Systems. |d Singapore : World Scientific, ©2010 |z 9781848164017 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=731160 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL731160 | ||
| 994 | |a 92 |b IZTAP | ||