Stochastic modelling of reaction-diffusion processes:
This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and comp...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2020
|
| Series: | Cambridge texts in applied mathematics
60 |
| Subjects: | |
| Online Access: | DE-12 DE-92 DE-384 Volltext |
| Summary: | This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and computations with biology and chemistry. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. Different stochastic spatio-temporal models are then studied, including models of diffusion and stochastic reaction-diffusion modelling. The methods covered include molecular dynamics, Brownian dynamics, velocity jump processes and compartment-based (lattice-based) models |
| Item Description: | Title from publisher's bibliographic system (viewed on 06 Nov 2019) |
| Physical Description: | 1 Online-Ressource (xi, 307 Seiten) |
| ISBN: | 9781108628389 |
| DOI: | 10.1017/9781108628389 |
Staff View
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| isbn | 9781108628389 |
| language | English |
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| publishDate | 2020 |
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| spelling | Erban, Radek ca. 20./21. Jh. (DE-588)1203135556 aut Stochastic modelling of reaction-diffusion processes Radek Erban, S. Jonathan Chapman Cambridge Cambridge University Press 2020 1 Online-Ressource (xi, 307 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge texts in applied mathematics 60 Title from publisher's bibliographic system (viewed on 06 Nov 2019) This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and computations with biology and chemistry. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. Different stochastic spatio-temporal models are then studied, including models of diffusion and stochastic reaction-diffusion modelling. The methods covered include molecular dynamics, Brownian dynamics, velocity jump processes and compartment-based (lattice-based) models Stochastic processes / Textbooks Reaction-diffusion equations / Textbooks Chapman, S. Jonathan ca. 20./21. Jh. (DE-588)1024588513 aut Erscheint auch als Druck-Ausgabe 978-1-108-49812-8 Cambridge texts in applied mathematics 60 (DE-604)BV046998082 60 https://doi.org/10.1017/9781108628389 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Erban, Radek ca. 20./21. Jh Chapman, S. Jonathan ca. 20./21. Jh Stochastic modelling of reaction-diffusion processes Stochastic processes / Textbooks Reaction-diffusion equations / Textbooks Cambridge texts in applied mathematics |
| title | Stochastic modelling of reaction-diffusion processes |
| title_auth | Stochastic modelling of reaction-diffusion processes |
| title_exact_search | Stochastic modelling of reaction-diffusion processes |
| title_full | Stochastic modelling of reaction-diffusion processes Radek Erban, S. Jonathan Chapman |
| title_fullStr | Stochastic modelling of reaction-diffusion processes Radek Erban, S. Jonathan Chapman |
| title_full_unstemmed | Stochastic modelling of reaction-diffusion processes Radek Erban, S. Jonathan Chapman |
| title_short | Stochastic modelling of reaction-diffusion processes |
| title_sort | stochastic modelling of reaction diffusion processes |
| topic | Stochastic processes / Textbooks Reaction-diffusion equations / Textbooks |
| topic_facet | Stochastic processes / Textbooks Reaction-diffusion equations / Textbooks |
| url | https://doi.org/10.1017/9781108628389 |
| volume_link | (DE-604)BV046998082 |
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