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

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

Holcman, David

Springer International Publishing AG

08/2018

377

Mole

Inglês

9783319873589

15 a 20 dias

599

Descrição não disponível.
Part I: Stochastic Chemical Reactions.- Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability.- Importance Sampling for Metastable and Multiscale Dynamical Systems.- Multiscale Simulation of Stochastic Reaction-diffusion Networks.- Part II: Stochastic Numerical Approaches, Algorithms and Coarse-Grained Simulations.- Numerical Methods for Ergodic SDEs: When Stochastic Integration Meets Geometric Integration.- Stability and Strong Convergence for Spatial Stochastic Kinetics.- The T cells in an Ageing Virtual Mouse.- Part III: Analysis of Stochastic Dynamical Systems for Modeling Cell Biology.- Model reduction for Stochastic Reaction Systems.- ZI-closure Scheme: A Method to Solve and Study Stochastic Reaction Networks.- Deterministic and Stochastic Becker-Doering Equations: Past and Recent Mathematical Developments.- Coagulation-Fragmentation with a Finite Number of Particles: Models, Stochastic Analysis and Applications to Telomere Clustering and Viral Capsid Assembly.- A Review of Stochastic and Delay Simulation Approaches in both Time and Space in Computational Cell Biology.- Part IV: Diffusion Processes and Stochastic Modeling.- Recent Mathematical Models of Axonal Transport.- Stochastic Models for Evolving Cellular Populations of Mitochondria: Disease, Development, and Ageing.- Modeling and Stochastic Analysis of the Single Photon Response.- A Phenomenological Spatial Model for Macro-ecological Patterns in Species-rich Ecosystems.
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Chemical master equation;Stochastic integration;Numerical methods;Modeling cell biology;Stochastic Coagulation Fragmentation;Exact reduction of chemical reaction networks;Asymptotic analysis;Fokker-Planck equation;Monte Carlo Methods for Multiscale Problems;Stochastic analysis;Stochastic algorithms for macromolecular simulations;systems biology