Stochastic dynamics in computational biology:
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 ma...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2020]
|
| Schriftenreihe: | Frontiers in applied dynamical systems: reviews and tutorials
volume 8 |
| Schlagworte: | |
| Zusammenfassung: | 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 |
| Beschreibung: | Introduction.- Well-mixed stochastic reaction kinetics.- Population scaling.- Temporal scaling.- Spatial scaling.- Summary and Outlook.- Mathematical background |
| Beschreibung: | XVIII, 272 Seiten Diagramme 448 grams |
| ISBN: | 9783030623869 |
Internformat
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| 520 | |a 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 | ||
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| id | DE-604.BV047232238 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T17:01:10Z |
| indexdate | 2024-07-10T09:06:22Z |
| institution | BVB |
| isbn | 9783030623869 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032636688 |
| oclc_num | 1249667589 |
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| owner | DE-29T |
| owner_facet | DE-29T |
| physical | XVIII, 272 Seiten Diagramme 448 grams |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | Springer |
| record_format | marc |
| series | Frontiers in applied dynamical systems: reviews and tutorials |
| series2 | Frontiers in applied dynamical systems: reviews and tutorials |
| spelling | Winkelmann, Stefanie Verfasser (DE-588)1037279719 aut Stochastic dynamics in computational biology Stefanie Winkelmann, Christof Schütte Cham, Switzerland Springer [2020] XVIII, 272 Seiten Diagramme 448 grams txt rdacontent n rdamedia nc rdacarrier Frontiers in applied dynamical systems: reviews and tutorials volume 8 Introduction.- Well-mixed stochastic reaction kinetics.- Population scaling.- Temporal scaling.- Spatial scaling.- Summary and Outlook.- Mathematical background 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 Dynamics Ergodic theory Vibration Dynamical systems Biomathematics Mathematics Biochemie (DE-588)4006777-4 gnd rswk-swf Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Stochastische Differentialgleichung (DE-588)4057621-8 gnd rswk-swf Hardcover, Softcover / Mathematik/Analysis Biochemie (DE-588)4006777-4 s Stochastische Differentialgleichung (DE-588)4057621-8 s Stochastisches Modell (DE-588)4057633-4 s DE-604 Schütte, Christof 1966- Verfasser (DE-588)1049564030 aut Erscheint auch als Online-Ausgabe 978-3-030-62387-6 Frontiers in applied dynamical systems: reviews and tutorials volume 8 (DE-604)BV043528258 8 |
| spellingShingle | Winkelmann, Stefanie Schütte, Christof 1966- Stochastic dynamics in computational biology Frontiers in applied dynamical systems: reviews and tutorials Dynamics Ergodic theory Vibration Dynamical systems Biomathematics Mathematics Biochemie (DE-588)4006777-4 gnd Stochastisches Modell (DE-588)4057633-4 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd |
| subject_GND | (DE-588)4006777-4 (DE-588)4057633-4 (DE-588)4057621-8 |
| title | Stochastic dynamics in computational biology |
| title_auth | Stochastic dynamics in computational biology |
| title_exact_search | Stochastic dynamics in computational biology |
| title_exact_search_txtP | Stochastic dynamics in computational biology |
| title_full | Stochastic dynamics in computational biology Stefanie Winkelmann, Christof Schütte |
| title_fullStr | Stochastic dynamics in computational biology Stefanie Winkelmann, Christof Schütte |
| title_full_unstemmed | Stochastic dynamics in computational biology Stefanie Winkelmann, Christof Schütte |
| title_short | Stochastic dynamics in computational biology |
| title_sort | stochastic dynamics in computational biology |
| topic | Dynamics Ergodic theory Vibration Dynamical systems Biomathematics Mathematics Biochemie (DE-588)4006777-4 gnd Stochastisches Modell (DE-588)4057633-4 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd |
| topic_facet | Dynamics Ergodic theory Vibration Dynamical systems Biomathematics Mathematics Biochemie Stochastisches Modell Stochastische Differentialgleichung |
| volume_link | (DE-604)BV043528258 |
| work_keys_str_mv | AT winkelmannstefanie stochasticdynamicsincomputationalbiology AT schuttechristof stochasticdynamicsincomputationalbiology |