Multiscale Models in Mechano and Tumor Biology Modeling, Homogenization, and Applications /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Gerisch, Alf (Editor, http://id.loc.gov/vocabulary/relators/edt), Penta, Raimondo (Editor, http://id.loc.gov/vocabulary/relators/edt), Lang, Jens (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 1st ed. 2017.
• Series: Lecture Notes in Computational Science and Engineering, 122
• Subjects: Computer mathematics.; Biomathematics.; Partial differential equations.; Approximation theory.; Computational Mathematics and Numerical Analysis.; Physiological, Cellular and Medical Topics.; Partial Differential Equations.; Approximations and Expansions.

This book presents and discusses the state of the art and future perspectives in mathematical modeling and homogenization techniques with the focus on addressing key physiological issues in the context of multiphase healthy and malignant biological materials. The highly interdisciplinary content bri...

Table of Contents:

• 1 An Introduction to Asymptotic Homogenization
• 2 Asymptotic Homogenization with a Macroscale Variation in the Microscale
• 3 Mathematical Models for Acid-Mediated Tumor Invasion:From Deterministic to Stochastic Approaches
• 4 Numerical Simulation of a Contractivity Based Multiscale Cancer Invasion Model
• 5 Modelling Tissue Self-Organization: From Micro to Macro Models
• 6 A Multiscale Modeling Approach to Transport of Nano-Constructs in Biological Tissues
• 7 A Continuum Model of Skeletal Muscle Tissue with Loss of Activation
• 8 Optimal Control of Slender Microswimmers.