Dynamical Models In Biology

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Dynamical Models in Biology

Author : Miklós Farkas
Publisher : Academic Press
ISBN 13 : 9780080530604
Total Pages : 187 pages
Book Rating : 4.5/5 (36 download)

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Book Synopsis Dynamical Models in Biology by : Miklós Farkas

Download or read book Dynamical Models in Biology written by Miklós Farkas and published by Academic Press. This book was released on 2001-06-15 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Models in Biology offers an introduction to modern mathematical biology. This book provides a short introduction to modern mathematical methods in modeling dynamical phenomena and treats the broad topics of population dynamics, epidemiology, evolution, immunology, morphogenesis, and pattern formation. Primarily employing differential equations, the author presents accessible descriptions of difficult mathematical models. Recent mathematical results are included, but the author's presentation gives intuitive meaning to all the main formulae. Besides mathematicians who want to get acquainted with this relatively new field of applications, this book is useful for physicians, biologists, agricultural engineers, and environmentalists. Key Topics Include: Chaotic dynamics of populations The spread of sexually transmitted diseases Problems of the origin of life Models of immunology Formation of animal hide patterns The intuitive meaning of mathematical formulae explained with many figures Applying new mathematical results in modeling biological phenomena Miklos Farkas is a professor at Budapest University of Technology where he has researched and instructed mathematics for over thirty years. He has taught at universities in the former Soviet Union, Canada, Australia, Venezuela, Nigeria, India, and Columbia. Prof. Farkas received the 1999 Bolyai Award of the Hungarian Academy of Science and the 2001 Albert Szentgyorgyi Award of the Hungarian Ministry of Education. A 'down-to-earth' introduction to the growing field of modern mathematical biology Also includes appendices which provide background material that goes beyond advanced calculus and linear algebra

Dynamic Models in Biology

Author : Stephen P. Ellner
Publisher : Princeton University Press
ISBN 13 : 1400840961
Total Pages : 352 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Dynamic Models in Biology by : Stephen P. Ellner

Download or read book Dynamic Models in Biology written by Stephen P. Ellner and published by Princeton University Press. This book was released on 2011-09-19 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology. Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians. Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.

Dynamical Models of Biology and Medicine

Author : Yang Kuang
Publisher : MDPI
ISBN 13 : 3039212176
Total Pages : 292 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Dynamical Models of Biology and Medicine by : Yang Kuang

Download or read book Dynamical Models of Biology and Medicine written by Yang Kuang and published by MDPI. This book was released on 2019-10-04 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Dynamical Models of Biology and Medicine

Author : Meng Fan
Publisher :
ISBN 13 : 9783039212187
Total Pages : 1 pages
Book Rating : 4.2/5 (121 download)

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Book Synopsis Dynamical Models of Biology and Medicine by : Meng Fan

Download or read book Dynamical Models of Biology and Medicine written by Meng Fan and published by . This book was released on 2019 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamic Models and Control of Biological Systems

Author : Vadrevu Sree Hari Rao
Publisher : Springer Science & Business Media
ISBN 13 : 1441903593
Total Pages : 279 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Dynamic Models and Control of Biological Systems by : Vadrevu Sree Hari Rao

Download or read book Dynamic Models and Control of Biological Systems written by Vadrevu Sree Hari Rao and published by Springer Science & Business Media. This book was released on 2009-07-30 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Biology has grown at an astonishing rate and has established itself as a distinct discipline. Mathematical modeling is now being applied in every major discipline in the biological sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems which arise in the biological sciences and gives some indication of the wide spectrum of questions that modeling can address.

Modeling Dynamic Biological Systems

Author : Bruce Hannon
Publisher : Springer
ISBN 13 : 3319056158
Total Pages : 434 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Modeling Dynamic Biological Systems by : Bruce Hannon

Download or read book Modeling Dynamic Biological Systems written by Bruce Hannon and published by Springer. This book was released on 2014-07-05 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many biologists and ecologists have developed models that find widespread use in theoretical investigations and in applications to organism behavior, disease control, population and metapopulation theory, ecosystem dynamics, and environmental management. This book captures and extends the process of model development by concentrating on the dynamic aspects of these processes and by providing the tools such that virtually anyone with basic knowledge in the Life Sciences can develop meaningful dynamic models. Examples of the systems modeled in the book range from models of cell development, the beating heart, the growth and spread of insects, spatial competition and extinction, to the spread and control of epidemics, including the conditions for the development of chaos. Key features: - easy-to-learn and easy-to-use software - examples from many subdisciplines of biology, covering models of cells, organisms, populations, and metapopulations - no prior computer or programming experience required Key benefits: - learn how to develop modeling skills and system thinking on your own rather than use models developed by others - be able to easily run models under alternative assumptions and investigate the implications of these assumptions for the dynamics of the biological system being modeled - develop skills to assess the dynamics of biological systems

The Dynamics of Biological Systems

Author : Arianna Bianchi
Publisher : Springer Nature
ISBN 13 : 3030225836
Total Pages : 267 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis The Dynamics of Biological Systems by : Arianna Bianchi

Download or read book The Dynamics of Biological Systems written by Arianna Bianchi and published by Springer Nature. This book was released on 2019-10-02 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamical Systems for Biological Modeling

Author : Fred Brauer
Publisher : CRC Press
ISBN 13 : 1498774040
Total Pages : 482 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Dynamical Systems for Biological Modeling by : Fred Brauer

Download or read book Dynamical Systems for Biological Modeling written by Fred Brauer and published by CRC Press. This book was released on 2015-12-23 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Dynamic Systems Biology Modeling and Simulation

Author : Joseph DiStefano III
Publisher : Academic Press
ISBN 13 : 0124104932
Total Pages : 884 pages
Book Rating : 4.1/5 (241 download)

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Book Synopsis Dynamic Systems Biology Modeling and Simulation by : Joseph DiStefano III

Download or read book Dynamic Systems Biology Modeling and Simulation written by Joseph DiStefano III and published by Academic Press. This book was released on 2015-01-10 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Systems Biology Modeling and Simuation consolidates and unifies classical and contemporary multiscale methodologies for mathematical modeling and computer simulation of dynamic biological systems – from molecular/cellular, organ-system, on up to population levels. The book pedagogy is developed as a well-annotated, systematic tutorial – with clearly spelled-out and unified nomenclature – derived from the author’s own modeling efforts, publications and teaching over half a century. Ambiguities in some concepts and tools are clarified and others are rendered more accessible and practical. The latter include novel qualitative theory and methodologies for recognizing dynamical signatures in data using structural (multicompartmental and network) models and graph theory; and analyzing structural and measurement (data) models for quantification feasibility. The level is basic-to-intermediate, with much emphasis on biomodeling from real biodata, for use in real applications. Introductory coverage of core mathematical concepts such as linear and nonlinear differential and difference equations, Laplace transforms, linear algebra, probability, statistics and stochastics topics; PLUS ....... The pertinent biology, biochemistry, biophysics or pharmacology for modeling are provided, to support understanding the amalgam of “math modeling” with life sciences. Strong emphasis on quantifying as well as building and analyzing biomodels: includes methodology and computational tools for parameter identifiability and sensitivity analysis; parameter estimation from real data; model distinguishability and simplification; and practical bioexperiment design and optimization. Companion website provides solutions and program code for examples and exercises using Matlab, Simulink, VisSim, SimBiology, SAAMII, AMIGO, Copasi and SBML-coded models. A full set of PowerPoint slides are available from the author for teaching from his textbook. He uses them to teach a 10 week quarter upper division course at UCLA, which meets twice a week, so there are 20 lectures. They can easily be augmented or stretched for a 15 week semester course. Importantly, the slides are editable, so they can be readily adapted to a lecturer’s personal style and course content needs. The lectures are based on excerpts from 12 of the first 13 chapters of DSBMS. They are designed to highlight the key course material, as a study guide and structure for students following the full text content. The complete PowerPoint slide package (~25 MB) can be obtained by instructors (or prospective instructors) by emailing the author directly, at: [email protected]

Dynamical Systems and Their Applications in Biology

Author : Shigui Ruan
Publisher : American Mathematical Soc.
ISBN 13 : 0821831631
Total Pages : 280 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Dynamical Systems and Their Applications in Biology by : Shigui Ruan

Download or read book Dynamical Systems and Their Applications in Biology written by Shigui Ruan and published by American Mathematical Soc.. This book was released on 2003 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamical Systems in Population Biology

Author : Xiao-Qiang Zhao
Publisher : Springer Science & Business Media
ISBN 13 : 0387217614
Total Pages : 285 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Dynamical Systems in Population Biology by : Xiao-Qiang Zhao

Download or read book Dynamical Systems in Population Biology written by Xiao-Qiang Zhao and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population dynamics is an important subject in mathematical biology. A cen tral problem is to study the long-term behavior of modeling systems. Most of these systems are governed by various evolutionary equations such as difference, ordinary, functional, and partial differential equations (see, e. g. , [165, 142, 218, 119, 55]). As we know, interactive populations often live in a fluctuating environment. For example, physical environmental conditions such as temperature and humidity and the availability of food, water, and other resources usually vary in time with seasonal or daily variations. Therefore, more realistic models should be nonautonomous systems. In particular, if the data in a model are periodic functions of time with commensurate period, a periodic system arises; if these periodic functions have different (minimal) periods, we get an almost periodic system. The existing reference books, from the dynamical systems point of view, mainly focus on autonomous biological systems. The book of Hess [106J is an excellent reference for periodic parabolic boundary value problems with applications to population dynamics. Since the publication of this book there have been extensive investigations on periodic, asymptotically periodic, almost periodic, and even general nonautonomous biological systems, which in turn have motivated further development of the theory of dynamical systems. In order to explain the dynamical systems approach to periodic population problems, let us consider, as an illustration, two species periodic competitive systems dUI dt = !I(t,Ul,U2), (0.

Dynamical Modeling of Biological Systems

Author : Stilianos Louca
Publisher : Stilianos Louca
ISBN 13 :
Total Pages : 545 pages
Book Rating : 4./5 ( download)

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Book Synopsis Dynamical Modeling of Biological Systems by : Stilianos Louca

Download or read book Dynamical Modeling of Biological Systems written by Stilianos Louca and published by Stilianos Louca. This book was released on 2023-06-07 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces concepts and practical tools for dynamical mathematical modeling of biological systems. Dynamical models describe the behavior of a system over time as a result of internal feedback loops and external forcing, based on mathematically formulated dynamical laws, similarly to how Newton's laws describe the movement of celestial bodies. Dynamical models are increasingly popular in biology, as they tend to be more powerful than static regression models. This book is meant for undergraduate and graduate students in physics, applied mathematics and data science with an interest in biology, as well as students in biology with a strong interest in mathematical methods. The book covers deterministic models (for example differential equations), stochastic models (for example Markov chains and autoregressive models) and model-independent aspects of time series analysis. Plenty of examples and exercises are included, often taken or inspired from the scientific literature, and covering a broad range of topics such as neuroscience, cell biology, genetics, evolution, ecology, microbiology, physiology, epidemiology and conservation. The book delivers generic modeling techniques used across a wide range of situations in biology, and hence readers from other scientific disciplines will find that much of the material is also applicable in their own field. Proofs of most mathematical statements are included for the interested reader, but are not essential for a practical understanding of the material. The book introduces the popular scientific programming language MATLAB as a tool for simulating models, fitting models to data, and visualizing data and model predictions. The material taught is current as of MATLAB version 2022b. The material is taught in a sufficiently general way that also permits the use of alternative programming languages.

Analysis and Control of Polynomial Dynamic Models with Biological Applications

Author : Gabor Szederkenyi
Publisher : Academic Press
ISBN 13 : 0128154969
Total Pages : 184 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Analysis and Control of Polynomial Dynamic Models with Biological Applications by : Gabor Szederkenyi

Download or read book Analysis and Control of Polynomial Dynamic Models with Biological Applications written by Gabor Szederkenyi and published by Academic Press. This book was released on 2018-03-30 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis and Control of Polynomial Dynamic Models with Biological Applications synthesizes three mathematical background areas (graphs, matrices and optimization) to solve problems in the biological sciences (in particular, dynamic analysis and controller design of QP and polynomial systems arising from predator-prey and biochemical models). The book puts a significant emphasis on applications, focusing on quasi-polynomial (QP, or generalized Lotka-Volterra) and kinetic systems (also called biochemical reaction networks or simply CRNs) since they are universal descriptors for smooth nonlinear systems and can represent all important dynamical phenomena that are present in biological (and also in general) dynamical systems. Describes and illustrates the relationship between the dynamical, algebraic and structural features of the quasi-polynomial (QP) and kinetic models Shows the applicability of kinetic and QP representation in biological modeling and control through examples and case studies Emphasizes the importance and applicability of quantitative models in understanding and influencing natural phenomena

Dynamical Modeling in Biotechnology

Author : Franco Bagnoli
Publisher : World Scientific
ISBN 13 : 9814495670
Total Pages : 324 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Dynamical Modeling in Biotechnology by : Franco Bagnoli

Download or read book Dynamical Modeling in Biotechnology written by Franco Bagnoli and published by World Scientific. This book was released on 2000-12-18 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The power of modelization in physics and in engineering is not in doubt, while in the biotechnological field many theoretical studies stop at the description level. It is time for theoretical modelization to enter the field of biotechnology, and that needs people with both physical and biological knowledge. This book introduces interested scientists with varied backgrounds to active research in different areas broadly related to what has come to be called “dynamical modeling in biology”. Contents: Cellular Automata (F Bagnoli)Barolo: Biological Ageing Research on Long-Lived Organisms (D Stauffer)Bacterial Translation Modeling and Statistical Mechanics (G Guasti)Automata Network Models in Ecology and Epidemiology (N Boccara)Formal Neural Networks: An Introduction to Supervised Learning and a Selected Bibliography (J-P Nadal)Dynamical Systems, Qualitative Theory, and Simulation (A Pikovski)Nonlinear Excitations and Energy Localization. Applications to Molecular Biology (M Peyrard)The Immune System, and Why Modeling It Makes Sense (F Celada)Immune System Modeling (M Bezzi)Discrete Models for Simulating Biological Systems (P E Seiden)Modeling TH1–TH2 Regulation, Allergy, and Hyposensitization (U Behn et al.)and other papers Readership: Biotechnologists. Keywords:Cellular Automata;Ageing;Ecology;Epidemiology;Neural Networks;Dynamical Systems;Energy Localization;Immune System;Pattern Formation;Lattice Boltzmann Equation (LBE);Biological Models;Statistical Mechanics;Bacterial Evolution;Biological Networks

Current Trends in Dynamical Systems in Biology and Natural Sciences

Author : Maira Aguiar
Publisher : Springer Nature
ISBN 13 : 3030411206
Total Pages : 250 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Current Trends in Dynamical Systems in Biology and Natural Sciences by : Maira Aguiar

Download or read book Current Trends in Dynamical Systems in Biology and Natural Sciences written by Maira Aguiar and published by Springer Nature. This book was released on 2020-05-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book disseminates the latest results and envisages new challenges in the application of mathematics to various practical situations in biology, epidemiology, and ecology. It comprises a collection of the main results presented at the Ninth Edition of the International Workshop “Dynamical Systems Applied to Biology and Natural Sciences – DSABNS”, held from 7 to 9 February 2018 at the Department of Mathematics, University of Turin, Italy. While the principal focus is ecology and epidemiology, the coverage extends even to waste recycling and a genetic application. The topics covered in the 12 peer-reviewed contributions involve such diverse mathematical tools as ordinary and partial differential equations, delay equations, stochastic equations, control, and sensitivity analysis. The book is intended to help both in disseminating the latest results and in envisaging new challenges in the application of mathematics to various practical situations in biology, epidemiology, and ecology.

Modeling Biological Systems

Author : James W. Haefner
Publisher : Springer Science & Business Media
ISBN 13 : 1461541190
Total Pages : 486 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Modeling Biological Systems by : James W. Haefner

Download or read book Modeling Biological Systems written by James W. Haefner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a text for a first course on creating and analyzing computer simulation models of biological systems. The expected audience for this book are students wishing to use dynamic models to interpret real data mueh as they would use standard statistical techniques. It is meant to provide both the essential principles as well as the details and equa tions applicable to a few particular systems and subdisciplines. Biological systems, however, encompass a vast, diverse array of topics and problems. This book discusses only a select number of these that I have found to be useful and interesting to biologists just beginning their appreciation of computer simulation. The examples chosen span classical mathematical models of well-studied systems to state-of-the-art topics such as cellular automata and artificial life. I have stressed the relationship between the models and the biology over mathematical analysis in order to give the reader a sense that mathematical models really are useful to biologists. In this light, I have sought examples that address fundamental and, I think, interesting biological questions. Almost all of the models are directly COIIl pared to quantitative data to provide at least a partial demonstration that some biological models can accurately predict.

Computational Systems Biology

Author : Reinhard Laubenbacher
Publisher : Elsevier Inc. Chapters
ISBN 13 : 0128070129
Total Pages : 548 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Computational Systems Biology by : Reinhard Laubenbacher

Download or read book Computational Systems Biology written by Reinhard Laubenbacher and published by Elsevier Inc. Chapters. This book was released on 2013-11-26 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and statistical network modeling is an important step toward uncovering the organizational principles and dynamic behavior of biological networks. This chapter focuses on methods to construct discrete dynamic models of gene regulatory networks from experimental data sets, also sometimes referred to as top-down modeling or reverse engineering. Time-discrete dynamical systems models have long been used in biology, particularly in population dynamics. The models mainly focused on here are also assumed to have a finite set of possible states for each variable. That is, the modeling framework discussed in this chapter is that of time-discrete dynamical systems over a finite state set.