Description: 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 brings together contributions from scientists with complementary areas of expertise, such as pure and applied mathematicians, engineers, and biophysicists. The book also features the lecture notes from a half-day introductory course on asymptotic homogenization. These notes are suitable for undergraduate mathematics or physics students, while the other chapters are aimed at graduate students and researchers. ¿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.
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EAN: 9783319733708
UPC: 9783319733708
ISBN: 9783319733708
MPN: N/A
Item Length: 23.4 cm
Number of Pages: 195 Pages
Language: English
Publication Name: Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications
Publisher: Springer International Publishing Ag
Publication Year: 2018
Subject: Mathematics
Item Height: 235 mm
Item Weight: 4439 g
Type: Textbook
Author: Jens Lang, Raimondo Penta, Alf Gerisch
Item Width: 155 mm
Format: Hardcover
