Applications Of Dynamical Systems In Biology And Medicine PDF Download
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Author | : Trachette Jackson |
Publisher | : Springer |
Total Pages | : 240 |
Release | : 2015-07-06 |
Genre | : Mathematics |
ISBN | : 1493927825 |
Download Applications of Dynamical Systems in Biology and Medicine Book in PDF, ePub and Kindle
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 |
Genre | : Technology & Engineering |
ISBN | : 3039212176 |
Download Dynamical Models of Biology and Medicine Book in PDF, ePub and Kindle
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 |
Genre | : Mathematics |
ISBN | : 3030225836 |
Download The Dynamics of Biological Systems Book in PDF, ePub and Kindle
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 |
Genre | : Business & Economics |
ISBN | : 3662027798 |
Download Dynamical Systems Book in PDF, ePub and Kindle
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 | : Conference on Dynamical Systems in Biology and Medicine |
Publisher | : |
Total Pages | : 116 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download Abstracts of Conference on dynamical systems in biology and medicine, Veszprém (Hungary), July 17-20, 1996 Book in PDF, ePub and Kindle
Author | : Meng Fan |
Publisher | : |
Total Pages | : 1 |
Release | : 2019 |
Genre | : Electronic books |
ISBN | : 9783039212187 |
Download Dynamical Models of Biology and Medicine Book in PDF, ePub and Kindle
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 | : Alan Garfinkel |
Publisher | : Springer |
Total Pages | : 456 |
Release | : 2017-09-06 |
Genre | : Mathematics |
ISBN | : 3319597310 |
Download Modeling Life Book in PDF, ePub and Kindle
This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking. Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?
Author | : Christian Mazza |
Publisher | : CRC Press |
Total Pages | : 274 |
Release | : 2016-04-19 |
Genre | : Mathematics |
ISBN | : 1466514949 |
Download Stochastic Dynamics for Systems Biology Book in PDF, ePub and Kindle
Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual insights on the functioning of the cellular processing
Author | : Fred Brauer |
Publisher | : CRC Press |
Total Pages | : 482 |
Release | : 2015-12-23 |
Genre | : Mathematics |
ISBN | : 1498774040 |
Download Dynamical Systems for Biological Modeling Book in PDF, ePub and Kindle
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 | : Shigui Ruan |
Publisher | : American Mathematical Soc. |
Total Pages | : 282 |
Release | : 2003-01-01 |
Genre | : Science |
ISBN | : 9780821871423 |
Download Dynamical Systems and Their Applications in Biology Book in PDF, ePub and Kindle
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.