Applications Of Dynamical Systems In Biology And Medicine
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Author |
: Trachette Jackson |
Publisher |
: Springer |
Total Pages |
: 240 |
Release |
: 2015-07-06 |
ISBN-10 |
: 9781493927821 |
ISBN-13 |
: 1493927825 |
Rating |
: 4/5 (21 Downloads) |
Synopsis Applications of Dynamical Systems in Biology and Medicine by : Trachette Jackson
This volume highlights problems from a range of biological and medical applications that can be interpreted as questions about system behavior or control. Topics include drug resistance in cancer and malaria, biological fluid dynamics, auto-regulation in the kidney, anti-coagulation therapy, evolutionary diversification and photo-transduction. Mathematical techniques used to describe and investigate these biological and medical problems include ordinary, partial and stochastic differentiation equations, hybrid discrete-continuous approaches, as well as 2 and 3D numerical simulation.
Author |
: Yang Kuang |
Publisher |
: MDPI |
Total Pages |
: 292 |
Release |
: 2019-10-04 |
ISBN-10 |
: 9783039212170 |
ISBN-13 |
: 3039212176 |
Rating |
: 4/5 (70 Downloads) |
Synopsis Dynamical Models of Biology and Medicine by : Yang Kuang
Mathematical and computational modeling approaches in biological and medical research are experiencing rapid growth globally. This Special Issue Book intends to scratch the surface of this exciting phenomenon. The subject areas covered involve general mathematical methods and their applications in biology and medicine, with an emphasis on work related to mathematical and computational modeling of the complex dynamics observed in biological and medical research. Fourteen rigorously reviewed papers were included in this Special Issue. These papers cover several timely topics relating to classical population biology, fundamental biology, and modern medicine. While the authors of these papers dealt with very different modeling questions, they were all motivated by specific applications in biology and medicine and employed innovative mathematical and computational methods to study the complex dynamics of their models. We hope that these papers detail case studies that will inspire many additional mathematical modeling efforts in biology and medicine
Author |
: Arianna Bianchi |
Publisher |
: Springer Nature |
Total Pages |
: 267 |
Release |
: 2019-10-02 |
ISBN-10 |
: 9783030225834 |
ISBN-13 |
: 3030225836 |
Rating |
: 4/5 (34 Downloads) |
Synopsis The Dynamics of Biological Systems by : Arianna Bianchi
The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine. The chapters of this book cover a wide range of mathematical methods and biological applications. They - explain the process of mathematical modelling of biological systems with many examples, - introduce advanced methods from dynamical systems theory, - present many examples of the use of mathematical modelling to gain biological insight - discuss innovative methods for the analysis of biological processes, - contain extensive lists of references, which allow interested readers to continue the research on their own. Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences.
Author |
: Pierre N.V. Tu |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 257 |
Release |
: 2013-11-11 |
ISBN-10 |
: 9783662027790 |
ISBN-13 |
: 3662027798 |
Rating |
: 4/5 (90 Downloads) |
Synopsis Dynamical Systems by : Pierre N.V. Tu
Dynamic tools of analysis and modelling are increasingly used in Economics and Biology and have become more and more sophisticated in recent years, to the point where the general students without training in Dynamic Systems (DS) would be at a loss. No doubt they are referred to the original sources of mathematical theorems used in the various proofs, but the level of mathematics is generally beyond them. Students are thus left with the burden of somehow understanding advanced mathematics by themselves, with· very little help. It is to these general students, equipped only with a modest background of Calculus and Matrix Algebra that this book is dedicated. It aims at providing them with a fairly comprehensive box of dynamical tools they are expected to have at their disposal. The first three Chapters start with the most elementary notions of first and second order Differential and Difference Equations. For these, no matrix theory and hardly any calculus are needed. Then, before embarking on linear and nonlinear DS, a review of some Linear Algebra in Chapter 4 provides the bulk of matrix theory required for the study of later Chapters. Systems of Linear Differ ential Equations (Ch. 5) and Difference Equations (Ch. 6) then follow to provide students with a good background in linear DS, necessary for the subsequent study of nonlinear systems. Linear Algebra, reviewed in Ch. 4, is used freely in these and subsequent chapters to save space and time.
Author |
: Meng Fan |
Publisher |
: |
Total Pages |
: 1 |
Release |
: 2019 |
ISBN-10 |
: 3039212184 |
ISBN-13 |
: 9783039212187 |
Rating |
: 4/5 (84 Downloads) |
Synopsis Dynamical Models of Biology and Medicine by : Meng Fan
Mathematical and computational modeling approaches in biological and medical research are experiencing rapid growth globally. This Special Issue Book intends to scratch the surface of this exciting phenomenon. The subject areas covered involve general mathematical methods and their applications in biology and medicine, with an emphasis on work related to mathematical and computational modeling of the complex dynamics observed in biological and medical research. Fourteen rigorously reviewed papers were included in this Special Issue. These papers cover several timely topics relating to classical population biology, fundamental biology, and modern medicine. While the authors of these papers dealt with very different modeling questions, they were all motivated by specific applications in biology and medicine and employed innovative mathematical and computational methods to study the complex dynamics of their models. We hope that these papers detail case studies that will inspire many additional mathematical modeling efforts in biology and medicine.
Author |
: Conference on Dynamical Systems in Biology and Medicine |
Publisher |
: |
Total Pages |
: 116 |
Release |
: 1996 |
ISBN-10 |
: OCLC:441104507 |
ISBN-13 |
: |
Rating |
: 4/5 (07 Downloads) |
Synopsis Abstracts of Conference on dynamical systems in biology and medicine, Veszprém (Hungary), July 17-20, 1996 by : Conference on Dynamical Systems in Biology and Medicine
Author |
: Daskalaki, Andriani |
Publisher |
: IGI Global |
Total Pages |
: 982 |
Release |
: 2008-11-30 |
ISBN-10 |
: 9781605660776 |
ISBN-13 |
: 1605660779 |
Rating |
: 4/5 (76 Downloads) |
Synopsis Handbook of Research on Systems Biology Applications in Medicine by : Daskalaki, Andriani
"This book highlights the use of systems approaches including genomic, cellular, proteomic, metabolomic, bioinformatics, molecular, and biochemical, to address fundamental questions in complex diseases like cancer diabetes but also in ageing"--Provided by publisher.
Author |
: Shigui Ruan |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 282 |
Release |
: 2003-01-01 |
ISBN-10 |
: 0821871420 |
ISBN-13 |
: 9780821871423 |
Rating |
: 4/5 (20 Downloads) |
Synopsis Dynamical Systems and Their Applications in Biology by : Shigui Ruan
This volume is based on the proceedings of the International Workshop on Dynamical Systems and their Applications in Biology held at the Canadian Coast Guard College on Cape Breton Island (Nova Scotia, Canada). It presents a broad picture of the current research surrounding applications of dynamical systems in biology, particularly in population biology. The book contains 19 papers and includes articles on the qualitative and/or numerical analysis of models involving ordinary, partial, functional, and stochastic differential equations. Applications include epidemiology, population dynamics, and physiology. The material is suitable for graduate students and research mathematicians interested in ordinary differential equations and their applications in biology. Also available by Ruan, Wolkowicz, and Wu is Differential Equations with Applications to Biology, Volume 21 in the AMS series Fields Institute Communications.
Author |
: Fred Brauer |
Publisher |
: CRC Press |
Total Pages |
: 482 |
Release |
: 2015-12-23 |
ISBN-10 |
: 9781498774048 |
ISBN-13 |
: 1498774040 |
Rating |
: 4/5 (48 Downloads) |
Synopsis Dynamical Systems for Biological Modeling by : Fred Brauer
Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems.The approach emphasizes qualitative ideas rather than explicit computa
Author |
: International Workshop on Dynamical Systems and Their Applications in Biology |
Publisher |
: |
Total Pages |
: |
Release |
: 2012 |
ISBN-10 |
: 1470430703 |
ISBN-13 |
: 9781470430702 |
Rating |
: 4/5 (03 Downloads) |
Synopsis Dynamical Systems and Their Applications in Biology by : International Workshop on Dynamical Systems and Their Applications in Biology