Lectures On Nonlinear Differential Equation Models In Biology
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Author | : James Dickson Murray |
Publisher | : Oxford University Press, USA |
Total Pages | : 392 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : |
Download Lectures on Nonlinear-differential-equation Models in Biology Book in PDF, Epub and Kindle
Author | : Stavros Busenberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 276 |
Release | : 2013-03-08 |
Genre | : Mathematics |
ISBN | : 3642456928 |
Download Differential Equations Models in Biology, Epidemiology and Ecology Book in PDF, Epub and Kindle
The past forty years have been the stage for the maturation of mathematical biolo~ as a scientific field. The foundations laid by the pioneers of the field during the first half of this century have been combined with advances in ap plied mathematics and the computational sciences to create a vibrant area of scientific research with established research journals, professional societies, deep subspecialty areas, and graduate education programs. Mathematical biology is by its very nature cross-disciplinary, and research papers appear in mathemat ics, biology and other scientific journals, as well as in the specialty journals devoted to mathematical and theoretical biology. Multiple author papers are common, and so are collaborations between individuals who have academic bases in different traditional departments. Those who seek to keep abreast of current trends and problems need to interact with research workers from a much broader spectrum of fields than is common in the traditional mono-culture disciplines. Consequently, it is beneficial to have occasions which bring together significant numbers of workers in this field in a forum that encourages the exchange of ideas and which leads to a timely publication of the work that is presented. Such an occasion occurred during January 13 to 16, 1990 when almost two hun dred research workers participated in an international conference on Differential Equations and Applications to Biology and Population Dynamics which was held in Claremont.
Author | : Mimmo Iannelli |
Publisher | : Springer Science & Business Media |
Total Pages | : 361 |
Release | : 2011-06-04 |
Genre | : Mathematics |
ISBN | : 364211069X |
Download Mathematics of Biology Book in PDF, Epub and Kindle
K.L. Cooke: Delay differential equations.- J.M. Cushing: Volterra integrodifferential equations in population dynamics.- K.P. Hadeler: Diffusion equations in biology.- S. Hastings: Some mathematical problems arising in neurobiology.- F.C. Hoppensteadt: Perturbation methods in biology.- S.O. Londen: Integral equations of Volterra type.
Author | : T. A. Burton |
Publisher | : CRC Press |
Total Pages | : 300 |
Release | : 1980-09-01 |
Genre | : Mathematics |
ISBN | : 9780824771331 |
Download Modeling and Differential Equations in Biology Book in PDF, Epub and Kindle
Persistence in lotka-volterra models of food chains and competition; Mathematical models of humoral immune response; Mathematical models of dose and cell cycle effects in multifraction radiotherapy; Theorical and experimental investigations of microbial competition in continuous culture; A liapunov functional for a class of reaction-diffusion systems; Stochastic prey-predator relationships; Coexistence in predator-prey systems; Stability of some multispecies population models; Population dynamics in patchy environments; Limit cycles in a model of b-cell simulation; Optimal age-specific harvesting policy for a cintinuous time-population model; Models involving differential and integral equations appropriate for describing a temperature dependent predator-prey mite ecosystem on apples.
Author | : D. S. Jones |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2014-01-14 |
Genre | : Science |
ISBN | : 9789401159708 |
Download Differential Equations and Mathematical Biology Book in PDF, Epub and Kindle
Over the past decade, mathematics has made a considerable impact as a tool with which to model and understand biological phenomena. In return, biology has confronted the mathematician with a variety of challenging problems which have stimulated developments in the theory of nonlinear differential equations. This book is the outcome of the need to introduce undergraduates of mathematics, the physical and biological sciences to some of those developments. It is primarily directed towards students with a mathematical background up to and including that normally taught in a first-year physical science degree of a British university (sophomore year in a North American university) who are interested in the application of mathematics to biological and physical situations. Chapter 1 is introductory, showing how the study of first-order ordinary differential equations may be used to model the growth of a population, monitoring the administration of drugs and the mechanism by which living cells divide. In Chapter 2, a fairly comprehensive account of linear ordinary differential equations with constant coefficients is given. Such equations arise frequently in the discussion of the biological models encountered throughout the text. Chapter 3 is devoted to modelling biological pheno mena and in particular includes (i) physiology of the heart beat cycle, (ii) blood flow, (iii) the transmission of electrochemical pulses in the nerve, (iv) the Belousov-Zhabotinskii chemical reaction and (v) predator-prey models.
Author | : Ansgar Jüngel |
Publisher | : Springer Science & Business Media |
Total Pages | : 195 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3709106095 |
Download Nonlinear Differential Equation Models Book in PDF, Epub and Kindle
The papers in this book originate from lectures which were held at the "Vienna Workshop on Nonlinear Models and Analysis" – May 20–24, 2002. They represent a cross-section of the research field Applied Nonlinear Analysis with emphasis on free boundaries, fully nonlinear partial differential equations, variational methods, quasilinear partial differential equations and nonlinear kinetic models.
Author | : Jerome A. Goldstein |
Publisher | : Routledge |
Total Pages | : 353 |
Release | : 2017-10-05 |
Genre | : Mathematics |
ISBN | : 1351455184 |
Download Differential Equations with Applications in Biology, Physics, and Engineering Book in PDF, Epub and Kindle
Suitable as a textbook for a graduate seminar in mathematical modelling, and as a resource for scientists in a wide range of disciplines. Presents 22 lectures from an international conference in Leibnitz, Austria (no date mentioned), explaining recent developments and results in differential equatio
Author | : Jacek Banasiak |
Publisher | : Springer Science & Business |
Total Pages | : 295 |
Release | : 2014-04-19 |
Genre | : Mathematics |
ISBN | : 3319051407 |
Download Methods of Small Parameter in Mathematical Biology Book in PDF, Epub and Kindle
This monograph presents new tools for modeling multiscale biological processes. Natural processes are usually driven by mechanisms widely differing from each other in the time or space scale at which they operate and thus should be described by appropriate multiscale models. However, looking at all such scales simultaneously is often infeasible, costly, and provides information that is redundant for a particular application. Hence, there has been a growing interest in providing a more focused description of multiscale processes by aggregating variables in a way that is relevant to the purpose at hand and preserves the salient features of the dynamics. Many ad hoc methods have been devised, and the aim of this book is to present a systematic way of deriving the so-called limit equations for such aggregated variables and ensuring that the coefficients of these equations encapsulate the relevant information from the discarded levels of description. Since any approximation is only valid if an estimate of the incurred error is available, the tools the authors describe allow for proving that the solutions to the original multiscale family of equations converge to the solution of the limit equation if the relevant parameter converges to its critical value. The chapters are arranged according to the mathematical complexity of the analysis, from systems of ordinary linear differential equations, through nonlinear ordinary differential equations, to linear and nonlinear partial differential equations. Many chapters begin with a survey of mathematical techniques needed for the analysis. All problems discussed in this book belong to the class of singularly perturbed problems; that is, problems in which the structure of the limit equation is significantly different from that of the multiscale model. Such problems appear in all areas of science and can be attacked using many techniques. Methods of Small Parameter in Mathematical Biology will appeal to senior undergraduate and graduate students in applied and biomathematics, as well as researchers specializing in differential equations and asymptotic analysis.
Author | : Clifford Henry Taubes |
Publisher | : Cambridge University Press |
Total Pages | : 526 |
Release | : 2008-01-17 |
Genre | : Mathematics |
ISBN | : 1316582787 |
Download Modeling Differential Equations in Biology Book in PDF, Epub and Kindle
Based on a very successful one-semester course taught at Harvard, this text teaches students in the life sciences how to use differential equations to help their research. It needs only a semester's background in calculus. Ideas from linear algebra and partial differential equations that are most useful to the life sciences are introduced as needed, and in the context of life science applications, are drawn from real, published papers. It also teaches students how to recognize when differential equations can help focus research. A course taught with this book can replace the standard course in multivariable calculus that is more usually suited to engineers and physicists.
Author | : D. S. Jones |
Publisher | : Springer |
Total Pages | : 340 |
Release | : 2012-01-24 |
Genre | : Science |
ISBN | : 9789401159722 |
Download Differential Equations and Mathematical Biology Book in PDF, Epub and Kindle
Over the past decade, mathematics has made a considerable impact as a tool with which to model and understand biological phenomena. In return, biology has confronted the mathematician with a variety of challenging problems which have stimulated developments in the theory of nonlinear differential equations. This book is the outcome of the need to introduce undergraduates of mathematics, the physical and biological sciences to some of those developments. It is primarily directed towards students with a mathematical background up to and including that normally taught in a first-year physical science degree of a British university (sophomore year in a North American university) who are interested in the application of mathematics to biological and physical situations. Chapter 1 is introductory, showing how the study of first-order ordinary differential equations may be used to model the growth of a population, monitoring the administration of drugs and the mechanism by which living cells divide. In Chapter 2, a fairly comprehensive account of linear ordinary differential equations with constant coefficients is given. Such equations arise frequently in the discussion of the biological models encountered throughout the text. Chapter 3 is devoted to modelling biological pheno mena and in particular includes (i) physiology of the heart beat cycle, (ii) blood flow, (iii) the transmission of electrochemical pulses in the nerve, (iv) the Belousov-Zhabotinskii chemical reaction and (v) predator-prey models.