Methods of Small Parameter in Mathematical Biology

• Κύριοι συγγραφείς: Banasiak, Jacek (Συγγραφέας), Lachowicz, Mirosław (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
• Σειρά: Modeling and Simulation in Science, Engineering and Technology,
• Θέματα: Mathematics.; Differential equations.; Biomathematics.; Ordinary Differential Equations.; Mathematical and Computational Biology.; Genetics and Population Dynamics.

This monograph presents new tools for modeling multiscale biological processes. Natural processes are usually driven by mechanisms widely differing from each other in the time or space scale at which they operate and thus should be described by appropriate multiscale models. However, looking at all...

Πίνακας περιεχομένων:

• 1 Small parameter methods – basic ideas
• 2 Introduction to the Chapman–Enskog method – linear models with migrations
• 3 Tikhonov–Vasilyeva theory
• 4 The Tikhonov theorem in some models of mathematical biosciences
• 5 Asymptotic expansion method in a singularly perturbed McKendrick problem
• 6 Diffusion limit of the telegraph equation
• 7 Kinetic model of alignment
• 8 From microscopic to macroscopic descriptions. - 9 Conclusion.