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

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.

List 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.

Summary

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.

Product details

• Assisted by: Alf Gerisch (Editor), Jens Lang (Editor), Raimond Penta (Editor), Raimondo Penta (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2018
• EAN: 9783319733708
• ISBN: 978-3-31-973370-8
• No. of pages: 195
• Dimensions: 160 mm x 238 mm x 16 mm
• Weight: 432 g
• Illustrations: XIV, 195 p.
• Series: Lecture Notes in Computational Science and Engineering; Lecture Notes in Computational Science and Engineering
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; Analysis, C, Mathematics and Statistics, Computational Mathematics and Numerical Analysis, Computer mathematics, Partial Differential Equations, Differential calculus & equations, Applied mathematics, Biomathematics, Mathematical and Computational Biology, Physiological, Cellular and Medical Topics, Approximations and Expansions, Approximation theory