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Diffusion, Propagation and Growth in Biomedical Systems

(Autor)

Buch | Hardcover
250 Seiten
2025
Imperial College Press (Verlag)
978-1-84816-341-6 (ISBN)
77,30 inkl. MwSt
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Looks into the interdisciplinary mainstream of mathematical modeling in the life sciences. This title includes topics that reflect the author's experience in statistical mechanics and in multiscale biomathematical analysis. It gives attention to the interplay between different descriptions - deterministic and stochastic, spatial, and non-spatial.
This book takes an in-depth look into the great interdisciplinary mainstream of mathematical modeling in the life sciences. The various topics reflect the author's experience in statistical mechanics and in multiscale biomathematical analysis. One of the main issues is the multiscale aspect - the microscopic, subcellular level is linked, through the growth process, to the emerging macroscopic organization. Detailed attention is paid to the interplay between different descriptions - deterministic and stochastic, spatial and non-spatial. The exposition is not formal, details are referred to the Bibliography and some topics are critically reviewed.

Mathematical Modeling of Many-Component Systems; Examples from Ecology, Epidemiology and Cell Biology; Birth-Death Processes: Initial and Asymptotic Behavior; From Microscale to Macroscale: Stochastic Dynamics and Scaling Limits; Mean-Field Approximation and Nonlocal Behavior; An Intermediate, Mesoscopic Scale: The Kinetic Theory Approach; More Examples from Current Research: Chemotaxis, Tumor Growth and Viral Infections; Appendix on Qualitative Analysis of Differential and Integral Equations and on the Limit Behavior of Stochastic Processes.

Erscheint lt. Verlag 28.2.2025
Verlagsort London
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Medizin / Pharmazie Medizinische Fachgebiete Biomedizin
Naturwissenschaften Biologie
ISBN-10 1-84816-341-X / 184816341X
ISBN-13 978-1-84816-341-6 / 9781848163416
Zustand Neuware
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