Multiscale Models In Mechano And Tumor Biology

Multiscale Models In Mechano And Tumor Biology Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Multiscale Models In Mechano And Tumor Biology book. This book definitely worth reading, it is an incredibly well-written.

Multiscale Models in Mechano and Tumor Biology

Alf Gerisch,Raimondo Penta,Jens Lang
Multiscale Models in Mechano and Tumor Biology Book PDF

Author : Alf Gerisch,Raimondo Penta,Jens Lang
Publisher : Springer
Page : 195 pages
File Size : 47,7 Mb
Release : 2018-03-16
Category : Mathematics
ISBN : 9783319733715

Get Book

Multiscale Models in Mechano and Tumor Biology by Alf Gerisch,Raimondo Penta,Jens Lang Pdf

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

Suvranu De,Wonmuk Hwang,Ellen Kuhl
Multiscale Modeling in Biomechanics and Mechanobiology Book PDF

Author : Suvranu De,Wonmuk Hwang,Ellen Kuhl
Publisher : Springer
Page : 286 pages
File Size : 44,6 Mb
Release : 2014-10-10
Category : Technology & Engineering
ISBN : 9781447165996

Get Book

Multiscale Modeling in Biomechanics and Mechanobiology by Suvranu De,Wonmuk Hwang,Ellen Kuhl Pdf

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

Vittorio Cristini,John Lowengrub
Multiscale Modeling of Cancer Book PDF

Author : Vittorio Cristini,John Lowengrub
Publisher : Cambridge University Press
Page : 299 pages
File Size : 49,5 Mb
Release : 2010-09-09
Category : Technology & Engineering
ISBN : 9781139491501

Get Book

Multiscale Modeling of Cancer by Vittorio Cristini,John Lowengrub Pdf

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

Thomas S. Deisboeck,Georgios S. Stamatakos
Multiscale Cancer Modeling Book PDF

Author : Thomas S. Deisboeck,Georgios S. Stamatakos
Publisher : CRC Press
Page : 484 pages
File Size : 40,8 Mb
Release : 2010-12-08
Category : Mathematics
ISBN : 1439814422

Get Book

Multiscale Cancer Modeling by Thomas S. Deisboeck,Georgios S. Stamatakos Pdf

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 data across scales, and the prediction of tumor progression and treatment outcome (in silico oncology). Drawing on an interdisciplinary group of distinguished international experts, Multiscale Cancer Modeling discusses the scientific and technical expertise necessary to conduct innovative cancer modeling research across scales. It presents contributions from some of the top in silico modeling groups in the United States and Europe. The ultimate goal of multiscale modeling and simulation approaches is their use in clinical practice, such as supporting patient-specific treatment optimization. This volume covers state-of-the-art methods of multiscale cancer modeling and addresses the field’s potential as well as future challenges. It encourages collaborations among researchers in various disciplines to achieve breakthroughs in cancer modeling.

The Mathematics of Mechanobiology

Antonio DeSimone,Benoît Perthame,Alfio Quarteroni,Lev Truskinovsky
The Mathematics of Mechanobiology Book PDF

Author : Antonio DeSimone,Benoît Perthame,Alfio Quarteroni,Lev Truskinovsky
Publisher : Springer Nature
Page : 217 pages
File Size : 51,8 Mb
Release : 2020-06-29
Category : Mathematics
ISBN : 9783030451974

Get Book

The Mathematics of Mechanobiology by Antonio DeSimone,Benoît Perthame,Alfio Quarteroni,Lev Truskinovsky Pdf

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.

Constitutive Modelling of Solid Continua

José Merodio,Raymond Ogden
Constitutive Modelling of Solid Continua Book PDF

Author : José Merodio,Raymond Ogden
Publisher : Springer Nature
Page : 397 pages
File Size : 42,9 Mb
Release : 2019-11-14
Category : Science
ISBN : 9783030315474

Get Book

Constitutive Modelling of Solid Continua by José Merodio,Raymond Ogden Pdf

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.

Modelling and Computational Approaches for Multi-Scale Phenomena in Cancer Research: From Cancer Evolution to Cancer Treatment

Raluca Eftimie,Dumitru Trucu
Modelling and Computational Approaches for Multi Scale Phenomena in Cancer Research From Cancer Evolution to Cancer Treatment Book PDF

Author : Raluca Eftimie,Dumitru Trucu
Publisher : World Scientific Publishing Europe Limited
Page : 0 pages
File Size : 49,7 Mb
Release : 2024-06-14
Category : Mathematics
ISBN : 1800614373

Get Book

Modelling and Computational Approaches for Multi-Scale Phenomena in Cancer Research: From Cancer Evolution to Cancer Treatment by Raluca Eftimie,Dumitru Trucu Pdf

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.

Selected Topics in Cancer Modeling

Nicola Bellomo,Elena de Angelis
Selected Topics in Cancer Modeling Book PDF

Author : Nicola Bellomo,Elena de Angelis
Publisher : Birkhäuser
Page : 473 pages
File Size : 52,6 Mb
Release : 2008-09-25
Category : Mathematics
ISBN : 0817647120

Get Book

Selected Topics in Cancer Modeling by Nicola Bellomo,Elena de Angelis Pdf

This collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzing cancer phenomena. Topics covered include stochastic evolutionary models of cancer initiation and progression, tumor cords and their response to anticancer agents, and immune competition in tumor progression and prevention. The complexity of modeling living matter requires the development of new mathematical methods and ideas. This volume, written by first-rate researchers in the field of mathematical biology, is one of the first steps in that direction.

Multiscale Modelling in Biomedical Engineering

Dimitrios I. Fotiadis,Antonis I. Sakellarios,Vassiliki T. Potsika
Multiscale Modelling in Biomedical Engineering Book PDF

Author : Dimitrios I. Fotiadis,Antonis I. Sakellarios,Vassiliki T. Potsika
Publisher : John Wiley & Sons
Page : 404 pages
File Size : 54,7 Mb
Release : 2023-05-05
Category : Science
ISBN : 9781119517351

Get Book

Multiscale Modelling in Biomedical Engineering by Dimitrios I. Fotiadis,Antonis I. Sakellarios,Vassiliki T. Potsika Pdf

Multiscale Modelling in Biomedical Engineering Discover how multiscale modeling can enhance patient treatment and outcomes In Multiscale Modelling in Biomedical Engineering, an accomplished team of biomedical professionals delivers a robust treatment of the foundation and background of a general computational methodology for multi-scale modeling. The authors demonstrate how this methodology can be applied to various fields of biomedicine, with a particular focus on orthopedics and cardiovascular medicine. The book begins with a description of the relationship between multiscale modeling and systems biology before moving on to proceed systematically upwards in hierarchical levels from the molecular to the cellular, tissue, and organ level. It then examines multiscale modeling applications in specific functional areas, like mechanotransduction, musculoskeletal, and cardiovascular systems. Multiscale Modelling in Biomedical Engineering offers readers experiments and exercises to illustrate and implement the concepts contained within. Readers will also benefit from the inclusion of: A thorough introduction to systems biology and multi-scale modeling, including a survey of various multi-scale methods and approaches and analyses of their application in systems biology Comprehensive explorations of biomedical imaging and nanoscale modeling at the molecular, cell, tissue, and organ levels Practical discussions of the mechanotransduction perspective, including recent progress and likely future challenges In-depth examinations of risk prediction in patients using big data analytics and data mining Perfect for undergraduate and graduate students of bioengineering, biomechanics, biomedical engineering, and medicine, Multiscale Modelling in Biomedical Engineering will also earn a place in the libraries of industry professional and researchers seeking a one-stop reference to the basic engineering principles of biological systems.

Leveraging Distortions

Collin Rice
Leveraging Distortions Book PDF

Author : Collin Rice
Publisher : MIT Press
Page : 367 pages
File Size : 44,9 Mb
Release : 2021-08-17
Category : Science
ISBN : 9780262542616

Get Book

Leveraging Distortions by Collin Rice Pdf

An examination of how scientists deliberately and justifiably use pervasive distortions of relevant features to explain and understand natural phenomena. A fundamental rule of logic is that in order for an argument to provide good reasons for its conclusion, the premises of the argument must be true. In this book, Collin Rice shows how the practice of science repeatedly, pervasively, and deliberately violates this principle. Rice argues that scientists strategically use distortions that misrepresent relevant features of natural phenomena in order to explain and understand--and that they use these distortions deliberately and justifiably in order to discover truths that would be otherwise inaccessible. Countering the standard emphasis on causation, accurate representation, and decomposition of science into its accurate and inaccurate parts, Rice shows that science's epistemic achievements can still be factive despite their being produced through the use of holistically distorted scientific representations. Indeed, he argues, this distortion is one of the most widely employed and fruitful tools used in scientific theorizing. Marshalling a range of case studies, Rice contends that many explanations in science are noncausal, and he presents an alternate view of explanation that captures the variety of noncausal explanations found across the sciences. He proposes an alternative holistic distortion view of idealized models, connecting it to physicists' concept of a universality class; shows how universality classes can overcome some of the challenges of multiscale modeling; and offers accounts of explanation, idealization, modeling, and understanding.

Cell Mechanics

Arnaud Chauvière,Luigi Preziosi,Claude Verdier
Cell Mechanics Book PDF

Author : Arnaud Chauvière,Luigi Preziosi,Claude Verdier
Publisher : CRC Press
Page : 482 pages
File Size : 48,5 Mb
Release : 2010-01-27
Category : Mathematics
ISBN : 1420094556

Get Book

Cell Mechanics by Arnaud Chauvière,Luigi Preziosi,Claude Verdier Pdf

Ubiquitous and fundamental in cell mechanics, multiscale problems can arise in the growth of tumors, embryogenesis, tissue engineering, and more. Cell Mechanics: From Single Scale-Based Models to Multiscale Modeling brings together new insight and research on mechanical, mathematical, physical, and biological approaches for simulating the behavior of cells, specifically tumor cells. In the first part of the text, the book discusses the powerful tool of microrheology for investigating cell mechanical properties, multiphysics and multiscale approaches for studying intracellular mechanisms in cell motility, and the role of subcellular effects involving certain genes for inducing cell motility in cancer. Focusing on models based on physical, mathematical, and computational approaches, the second section develops tools for describing the complex interplay of cell adhesion molecules and the dynamic evolution of the cell cytoskeleton. The third part explores cell interactions with the environment, particularly the role of external mechanical forces and their effects on cell behavior. The final part presents innovative models of multicellular systems for developmental biology, cancer, and embryogenesis. This book collects novel methods to apply to cells and tissues through a multiscale approach. It presents numerous existing tools while stimulating the discovery of new approaches that can lead to more effective and accurate predictions of pathologies.

Scientific Computing

John A. Trangenstein
Scientific Computing Book PDF

Author : John A. Trangenstein
Publisher : Springer
Page : 600 pages
File Size : 48,9 Mb
Release : 2018-05-14
Category : Mathematics
ISBN : 9783319691077

Get Book

Scientific Computing by John A. Trangenstein Pdf

This is the second of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses more advanced topics than volume one, and is largely not a prerequisite for volume three. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 49 examples, 110 exercises, 66 algorithms, 24 interactive JavaScript programs, 77 references to software programs and 1 case study. Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in LAPACK, GSLIB and MATLAB. This book could be used for a second course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as nonlinear optimization or iterative linear algebra.

Computational Biology of Cancer

Dominik Wodarz,Natalia L. Komarova
Computational Biology of Cancer Book PDF

Author : Dominik Wodarz,Natalia L. Komarova
Publisher : World Scientific
Page : 268 pages
File Size : 46,6 Mb
Release : 2005
Category : Science
ISBN : 9789812560278

Get Book

Computational Biology of Cancer by Dominik Wodarz,Natalia L. Komarova Pdf

- Provides an introduction to computational methods in cancer biology - Follows a multi-disciplinary approach

Meshfree Methods for Partial Differential Equations IX

Michael Griebel,Marc Alexander Schweitzer
Meshfree Methods for Partial Differential Equations IX Book PDF

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer
Page : 206 pages
File Size : 47,9 Mb
Release : 2019-06-19
Category : Mathematics
ISBN : 9783030151195

Get Book

Meshfree Methods for Partial Differential Equations IX by Michael Griebel,Marc Alexander Schweitzer Pdf

This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering. The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain. This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the 2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations.

Exercises in Numerical Linear Algebra and Matrix Factorizations

Tom Lyche,Georg Muntingh,Øyvind Ryan
Exercises in Numerical Linear Algebra and Matrix Factorizations Book PDF

Author : Tom Lyche,Georg Muntingh,Øyvind Ryan
Publisher : Springer Nature
Page : 265 pages
File Size : 51,7 Mb
Release : 2020-11-02
Category : Mathematics
ISBN : 9783030597894

Get Book

Exercises in Numerical Linear Algebra and Matrix Factorizations by Tom Lyche,Georg Muntingh,Øyvind Ryan Pdf

To put the world of linear algebra to advanced use, it is not enough to merely understand the theory; there is a significant gap between the theory of linear algebra and its myriad expressions in nearly every computational domain. To bridge this gap, it is essential to process the theory by solving many exercises, thus obtaining a firmer grasp of its diverse applications. Similarly, from a theoretical perspective, diving into the literature on advanced linear algebra often reveals more and more topics that are deferred to exercises instead of being treated in the main text. As exercises grow more complex and numerous, it becomes increasingly important to provide supporting material and guidelines on how to solve them, supporting students’ learning process. This book provides precisely this type of supporting material for the textbook “Numerical Linear Algebra and Matrix Factorizations,” published as Vol. 22 of Springer’s Texts in Computational Science and Engineering series. Instead of omitting details or merely providing rough outlines, this book offers detailed proofs, and connects the solutions to the corresponding results in the textbook. For the algorithmic exercises the utmost level of detail is provided in the form of MATLAB implementations. Both the textbook and solutions are self-contained. This book and the textbook are of similar length, demonstrating that solutions should not be considered a minor aspect when learning at advanced levels.