Holcman, David

Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology

Holcman, David - Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology, ebook


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Table of contents

Part I. Stochastic Chemical Reactions

1. Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability
Tomislav Plesa, Tomáš Vejchodský, Radek Erban

2. Importance Sampling for Metastable and Multiscale Dynamical Systems
K. Spiliopoulos

3. Multiscale Simulation of Stochastic Reaction-Diffusion Networks
Stefan Engblom, Andreas Hellander, Per Lötstedt

Part II. Stochastic Numerical Approaches, Algorithms and Coarse-Grained Simulations

4. Numerical Methods for Stochastic Simulation: When Stochastic Integration Meets Geometric Numerical Integration
Assyr Abdulle

5. Stability and Strong Convergence for Spatial Stochastic Kinetics
Stefan Engblom

6. The T Cells in an Ageing Virtual Mouse
Mario Castro, Grant Lythe, Carmen Molina-París

Part III. Analysis of Stochastic Dynamical Systems for Modeling Cell Biology

7. Model Reduction for Stochastic Reaction Systems
Stephen Smith, Ramon Grima

8. ZI-Closure Scheme: A Method to Solve and Study Stochastic Reaction Networks
M. Vlysidis, P. H. Constantino, Y. N. Kaznessis

9. Deterministic and Stochastic Becker–Döring Equations: Past and Recent Mathematical Developments
E. Hingant, R. Yvinec

10. Coagulation-Fragmentation with a Finite Number of Particles: Models, Stochastic Analysis, and Applications to Telomere Clustering and Viral Capsid Assembly
Nathanael Hoze, David Holcman

11. A Review of Stochastic and Delay Simulation Approaches in Both Time and Space in Computational Cell Biology
Kevin Burrage, Pamela Burrage, Andre Leier, Tatiana Marquez-Lago

Part IV. Diffusion Processes and Stochastic Modeling

12. Recent Mathematical Models of Axonal Transport
Chuan Xue, Gregory Jameson

13. Stochastic Models for Evolving Cellular Populations of Mitochondria: Disease, Development, and Ageing
Hanne Hoitzing, Iain G. Johnston, Nick S. Jones

14. Modeling and Stochastic Analysis of the Single Photon Response
Jürgen Reingruber, David Holcman

15. A Phenomenological Spatial Model for Macro-Ecological Patterns in Species-Rich Ecosystems
Fabio Peruzzo, Sandro Azaele

Keywords: Mathematics, Physiological, Cellular and Medical Topics, Systems Biology, Applications of Nonlinear Dynamics and Chaos Theory, Systems Biology

Publication year
Page amount
13 pages
Natural Sciences
Printed ISBN

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