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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.
This book investigates the application of advanced mathematical modeling and homogenization techniques to understand complex biological processes in healthy and malignant tissues. It bridges the gap between pure mathematics and biological applications, presenting current research and future directions in mechano and tumor biology. The content is drawn from a diverse group of experts, including mathematicians, engineers, and biophysicists, ensuring a comprehensive, interdisciplinary approach to tackling key physiological issues within multiphase biological materials.
The book consolidates cutting-edge research at the intersection of mathematics and biology, offering a valuable resource for those engaged in the complex study of tissue mechanics and cancer. Its interdisciplinary nature, bringing together diverse scientific expertise, suggests a text that facilitates cross-pollination of ideas and methodologies. The inclusion of introductory lecture notes on asymptotic homogenization indicates an effort to bridge the gap between foundational concepts and advanced research, potentially serving both students and seasoned researchers. The focus on specific physiological issues within multiphase biological materials points to a detailed and specialized treatment of the subject matter.
Page Count:
195
Publication Date:
2018-03-16
Publisher:
Springer Nature
ISBN-10:
3319733710
ISBN-13:
9783319733715
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