Multiscale Models in Mechano and Tumor Biology
Title | Multiscale Models in Mechano and Tumor Biology PDF eBook |
Author | Alf Gerisch |
Publisher | Springer |
Pages | 205 |
Release | 2018-03-16 |
Genre | Mathematics |
ISBN | 3319733710 |
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.
Multiscale Modeling in Biomechanics and Mechanobiology
Title | Multiscale Modeling in Biomechanics and Mechanobiology PDF eBook |
Author | Suvranu De |
Publisher | Springer |
Pages | 287 |
Release | 2014-10-10 |
Genre | Technology & Engineering |
ISBN | 1447165993 |
Presenting a state-of-the-art overview of theoretical and computational models that link characteristic biomechanical phenomena, this book provides guidelines and examples for creating multiscale models in representative systems and organisms. It develops the reader's understanding of and intuition for multiscale phenomena in biomechanics and mechanobiology, and introduces a mathematical framework and computational techniques paramount to creating predictive multiscale models. Biomechanics involves the study of the interactions of physical forces with biological systems at all scales – including molecular, cellular, tissue and organ scales. The emerging field of mechanobiology focuses on the way that cells produce and respond to mechanical forces – bridging the science of mechanics with the disciplines of genetics and molecular biology. Linking disparate spatial and temporal scales using computational techniques is emerging as a key concept in investigating some of the complex problems underlying these disciplines. Providing an invaluable field manual for graduate students and researchers of theoretical and computational modelling in biology, this book is also intended for readers interested in biomedical engineering, applied mechanics and mathematical biology.
Multiscale Modeling of Cancer
Title | Multiscale Modeling of Cancer PDF eBook |
Author | Vittorio Cristini |
Publisher | Cambridge University Press |
Pages | 299 |
Release | 2010-09-09 |
Genre | Technology & Engineering |
ISBN | 1139491504 |
Mathematical modeling, analysis and simulation are set to play crucial roles in explaining tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial scales. This book, the first to integrate state-of-the-art numerical techniques with experimental data, provides an in-depth assessment of tumor cell modeling at multiple scales. The first part of the text presents a detailed biological background with an examination of single-phase and multi-phase continuum tumor modeling, discrete cell modeling, and hybrid continuum-discrete modeling. In the final two chapters, the authors guide the reader through problem-based illustrations and case studies of brain and breast cancer, to demonstrate the future potential of modeling in cancer research. This book has wide interdisciplinary appeal and is a valuable resource for mathematical biologists, biomedical engineers and clinical cancer research communities wishing to understand this emerging field.
Multiscale Cancer Modeling
Title | Multiscale Cancer Modeling PDF eBook |
Author | Thomas S. Deisboeck |
Publisher | CRC Press |
Pages | 492 |
Release | 2010-12-08 |
Genre | Mathematics |
ISBN | 1439814422 |
Cancer is a complex disease process that spans multiple scales in space and time. Driven by cutting-edge mathematical and computational techniques, in silico biology provides powerful tools to investigate the mechanistic relationships of genes, cells, and tissues. It enables the creation of experimentally testable hypotheses, the integration of dat
The Mathematics of Mechanobiology
Title | The Mathematics of Mechanobiology PDF eBook |
Author | Antonio DeSimone |
Publisher | Springer Nature |
Pages | 217 |
Release | 2020-06-29 |
Genre | Mathematics |
ISBN | 3030451976 |
This book presents the state of the art in mathematical research on modelling the mechanics of biological systems – a science at the intersection between biology, mechanics and mathematics known as mechanobiology. The book gathers comprehensive surveys of the most significant areas of mechanobiology: cell motility and locomotion by shape control (Antonio DeSimone); models of cell motion and tissue growth (Benoît Perthame); numerical simulation of cardiac electromechanics (Alfio Quarteroni); and power-stroke-driven muscle contraction (Lev Truskinovsky). Each section is self-contained in terms of the biomechanical background, and the content is accessible to all readers with a basic understanding of differential equations and numerical analysis. The book disentangles the phenomenological complexity of the biomechanical problems, while at the same time addressing the mathematical complexity with invaluable clarity. The book is intended for a wide audience, in particular graduate students and applied mathematicians interested in entering this fascinating field.
Modelling and Computational Approaches for Multi-Scale Phenomena in Cancer Research: From Cancer Evolution to Cancer Treatment
Title | Modelling and Computational Approaches for Multi-Scale Phenomena in Cancer Research: From Cancer Evolution to Cancer Treatment PDF eBook |
Author | Raluca Eftimie |
Publisher | World Scientific Publishing Europe Limited |
Pages | 0 |
Release | 2024-06-14 |
Genre | Mathematics |
ISBN | 9781800614376 |
Cancer development and progression is the result of biological phenomena that occur across multiple temporal and spatial scales. Recent years have seen a flurry of multi-scale mathematical models developed to generate and test new biological hypotheses related to cancer development, progression, and various treatment approaches. This led to the development of new computational and analytical approaches aimed at investigating these multiscale models.This review volume summarises some of the current state of the art related to the modelling, experimental investigation and data assimilation for multiscale phenomena during cancer development, evolution and treatment, as well as computational and analytical investigation of the multi-scale models developed to reproduce the biological phenomena. The book also identifies the experimental and theoretical open problems that will have to be addressed in the near future in order to advance this field. Modelling and Computational Approaches for Multi-scale Phenomena in Cancer Research is an excellent resource for both early career and advanced researchers.
Constitutive Modelling of Solid Continua
Title | Constitutive Modelling of Solid Continua PDF eBook |
Author | José Merodio |
Publisher | Springer Nature |
Pages | 397 |
Release | 2019-11-14 |
Genre | Science |
ISBN | 3030315479 |
This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.