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Author : Ingolf Lamprecht,A. I. Zotin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 536 pages
File Size : 45,5 Mb
Release : 2019-07-08
Category : Science
ISBN : 9783110848403
No detailed description available for "Thermodynamics and Pattern Formation in Biology".
Author : Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Publisher : CRC Press
Page : 434 pages
File Size : 54,7 Mb
Release : 2021-02-15
Category : Mathematics
ISBN : 0367555506
The book provides an introduction to deterministic (and some stochastic) modeling of spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the classical models in the fields with up to date applications is given. The book begins with detailed description of how spatial dynamics/diffusive processes influence the dynamics of biological populations. These processes play a key role in understanding the outbreak and spread of pandemics which help us in designing the control strategies from the public health perspective. A brief discussion on the functional mechanism of the brain (single neuron models and network level) with classical models of neuronal dynamics in space and time is given. Relevant phenomena and existing modeling approaches in ecology, epidemiology and neuroscience are introduced, which provide examples of pattern formation in these models. The analysis of patterns enables us to study the dynamics of macroscopic and microscopic behaviour of underlying systems and travelling wave type patterns observed in dispersive systems. Moving on to virus dynamics, authors present a detailed analysis of different types models of infectious diseases including two models for influenza, five models for Ebola virus and seven models for Zika virus with diffusion and time delay. A Chapter is devoted for the study of Brain Dynamics (Neural systems in space and time). Significant advances made in modeling the reaction-diffusion systems are presented and spatiotemporal patterning in the systems is reviewed. Development of appropriate mathematical models and detailed analysis (such as linear stability, weakly nonlinear analysis, bifurcation analysis, control theory, numerical simulation) are presented. Key Features Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Concepts are introduced in such a way that readers with a basic knowledge of differential equations and numerical methods can understand the analysis. The results are also illustrated with figures. Focuses on mathematical modeling and numerical simulations using basic conceptual and classic models of population dynamics, Virus and Brain dynamics. Covers wide range of models using spatial and non-spatial approaches. Covers single, two and multispecies reaction-diffusion models from ecology and models from bio-chemistry. Models are analysed for stability of equilibrium points, Turing instability, Hopf bifurcation and pattern formations. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises. The Book is suitable for advanced undergraduate, graduate and research students. For those who are working in the above areas, it provides information from most of the recent works. The text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
Author : Erik Mosekilde,Ole G. Mouritsen
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642792908
The development of a proper description of the living world today stands as one of the most significant challenges to physics. A variety of new experimental techniques in molecular biology, microbiol ogy, physiology and other fields of biological research constantly expand our knowledge and enable us to make increasingly more detailed functional and structural descriptions. Over the past decades, the amount and complexity of available information have multiplied dramatically, while at the same time our basic understanding of the nature of regulation, behavior, morphogenesis and evolution in the living world has made only modest progress. A key obstacle is clearly the proper handling of the available data. This requires a stronger emphasis on mathematical modeling through which the consistency of the adopted explanations can be checked, and general princi ples may be extracted. As an even more serious problem, however, it appears that the proper physical concepts for the development of a theoretically oriented biology have not hitherto been available. Classical mechanics and equilibrium thermody namics, for instance, are inappropriate and useless in some of the most essen tial biological contexts. Fortunately, there is now convincing evidence that the concepts and methods of the newly developed fields of nonlinear dynam ics and complex systems theory, combined with irreversible thermodynamics and far-from-equilibrium statistical mechanics will enable us to move ahead with many of these problems.
Author : A. I. Zotin
Publisher : Walter de Gruyter
Page : 316 pages
File Size : 55,8 Mb
Release : 2013-02-06
Category : Science
ISBN : 9783110849974
Author : Daniel Walgraef
Publisher : Springer Science & Business Media
Page : 310 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461218500
Spatio-temporal patterns appear almost everywhere in nature, and their description and understanding still raise important and basic questions. However, if one looks back 20 or 30 years, definite progress has been made in the modeling of insta bilities, analysis of the dynamics in their vicinity, pattern formation and stability, quantitative experimental and numerical analysis of patterns, and so on. Universal behaviors of complex systems close to instabilities have been determined, leading to the wide interdisciplinarity of a field that is now referred to as nonlinear science or science of complexity, and in which initial concepts of dissipative structures or synergetics are deeply rooted. In pioneering domains related to hydrodynamics or chemical instabilities, the interactions between experimentalists and theoreticians, sometimes on a daily basis, have been a key to progress. Everyone in the field praises the role played by the interactions and permanent feedbacks between ex perimental, numerical, and analytical studies in the achievements obtained during these years. Many aspects of convective patterns in normal fluids, binary mixtures or liquid crystals are now understood and described in this framework. The generic pres ence of defects in extended systems is now well established and has induced new developments in the physics of laser with large Fresnel numbers. Last but not least, almost 40 years after his celebrated paper, Turing structures have finally been ob tained in real-life chemical reactors, triggering anew intense activity in the field of reaction-diffusion systems.
Author : H. Frederick Nijhout
Publisher : CRC Press
Page : 318 pages
File Size : 50,7 Mb
Release : 2018-02-19
Category : Mathematics
ISBN : 9780429972997
This Lecture Notes Volume represents the first time any of the summer school lectures have been collected and published on a discrete subject rather than grouping all of a season's lectures together. This volume provides a broad survey of current thought on the problem of pattern formation. Spanning six years of summer school lectures, it includes articles which examine the origin and evolution of spatial patterns in physio-chemical and biological systems from a great diversity of theoretical and mechanistic perspectives. In addition, most of these pieces have been updated by their authors and three articles never previously published have been added.
Author : Andreas Deutsch,Sabine Dormann
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 52,7 Mb
Release : 2007-12-26
Category : Science
ISBN : 9780817644154
This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling.
Author : Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Publisher : CRC Press
Page : 280 pages
File Size : 43,6 Mb
Release : 2021-02-24
Category : Mathematics
ISBN : 9781000334357
The book provides an introduction to deterministic (and some stochastic) modeling of spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the classical models in the fields with up to date applications is given. The book begins with detailed description of how spatial dynamics/diffusive processes influence the dynamics of biological populations. These processes play a key role in understanding the outbreak and spread of pandemics which help us in designing the control strategies from the public health perspective. A brief discussion on the functional mechanism of the brain (single neuron models and network level) with classical models of neuronal dynamics in space and time is given. Relevant phenomena and existing modeling approaches in ecology, epidemiology and neuroscience are introduced, which provide examples of pattern formation in these models. The analysis of patterns enables us to study the dynamics of macroscopic and microscopic behaviour of underlying systems and travelling wave type patterns observed in dispersive systems. Moving on to virus dynamics, authors present a detailed analysis of different types models of infectious diseases including two models for influenza, five models for Ebola virus and seven models for Zika virus with diffusion and time delay. A Chapter is devoted for the study of Brain Dynamics (Neural systems in space and time). Significant advances made in modeling the reaction-diffusion systems are presented and spatiotemporal patterning in the systems is reviewed. Development of appropriate mathematical models and detailed analysis (such as linear stability, weakly nonlinear analysis, bifurcation analysis, control theory, numerical simulation) are presented. Key Features Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Concepts are introduced in such a way that readers with a basic knowledge of differential equations and numerical methods can understand the analysis. The results are also illustrated with figures. Focuses on mathematical modeling and numerical simulations using basic conceptual and classic models of population dynamics, Virus and Brain dynamics. Covers wide range of models using spatial and non-spatial approaches. Covers single, two and multispecies reaction-diffusion models from ecology and models from bio-chemistry. Models are analysed for stability of equilibrium points, Turing instability, Hopf bifurcation and pattern formations. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises. The Book is suitable for advanced undergraduate, graduate and research students. For those who are working in the above areas, it provides information from most of the recent works. The text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
Author : Bernd Kröger
Publisher : Springer
Page : 318 pages
File Size : 45,6 Mb
Release : 2014-11-25
Category : Technology & Engineering
ISBN : 9783319116891
Hermann Haken (born 1927) is one of the “fathers” of the quantum-mechanical laser theory, formulated between 1962 and 1966, in strong competition with American researchers. Later on, he created Synergetics, the science of cooperation in multicomponent systems. The book concentrates on the development of his scientific work during the first thirty-five years of his career. In 1970 he and his doctoral student Robert Graham were able to show that the laser is an example of a nonlinear system far from thermal equilibrium that shows a phase-transition like behavior. Subsequently, this insight opened the way for the formulation of Synergetics. Synergetics is able to explain, how very large systems show the phenomenon of self-organization that can be mathematically described by only very few order parameters. The results of Haken’s research were published in two seminal books Synergetics (1977) and Advanced Synergetics (1983). After the year 1985 Haken concentrated his research on the macroscopic foundation of Synergetics. This led him towards the application of synergetic principles in medicine, cognitive research and, finally, in psychology. A comprehensive bibliography of Hermann Haken’s publications (nearly 600 numbers) is included in the book.
Author : Stuart Pivar
Publisher : North Atlantic Books
Page : 210 pages
File Size : 51,5 Mb
Release : 2009
Category : Biological models
ISBN : 9781556438868
On the Origin of Form presents a new account of evolution and the origin of life based on the premise that the body form of any species is encoded not in the DNA but in the patterned structure of the primordial germ plasm--the universal predecessor of the egg. Two hundred years after Johann von Goethe's Faustian quest for the Urform, the archetypal design underlying all living form, comes the recent discovery that organic forms are derived from a unique, self-organized, pre-embryonic structure. This explanation of evolution is an alternative to the now widely questioned Neo-Darwinist theory of natural selection of random mutations. This new model is based on known, relatively uncomplicated scientific principles and is easily accessible to the interested layman. Included are sixty-four pages of illustrations that support this new theory. For additional information, please visit www.ontheoriginofform.com.
Author : H. Frederick Nijhout,Lynn Nadel
Publisher : Westview Press
Page : 444 pages
File Size : 41,5 Mb
Release : 1997-06-03
Category : Science
ISBN : 0201156911
This volume contains the best lectures from the Summer School Lectures volumes dealing with the theme of pattern formation. Topics include self-organization by simulated evolution, nonlinear dynamics of pattern formation in physics and biology, and the emergence of computational ecologies.
Author : Lionel G. Harrison
Publisher : Cambridge University Press
Page : 384 pages
File Size : 47,8 Mb
Release : 2005-09-15
Category : Science
ISBN : 0521019915
Explores the theories of the development of shape and size in living organisms and offers an exposition of the kinetic theory of shape.
Author : Anonim
Publisher : Academic Press
Page : 431 pages
File Size : 52,7 Mb
Release : 1994-04-22
Category : Science
ISBN : 0080856888
Developing organisms are systems in which the geometry, dynamics, and boundary conditions are all changing in the course of morphogenesis. The morphogenesis of cells and organisms appear to be mediated in part by the mechanically active components of the cytoskeleton. Mechanical forces have long been considered secondary to the effects of molecular mechanisms in cell growth, differentiation, and development. This volume explores the role of mechanical forces in cell growth and development and demonstrates its importance. This volume will prove invaluable to all biologists interested in the fundamentals of mechanical forces in development, from the advanced to the graduate researcher.
Author : Samuel L. Macey
Publisher : Routledge
Page : 476 pages
File Size : 45,7 Mb
Release : 2018-10-10
Category : Philosophy
ISBN : 9780429685132
Originally published in 1991. A multidisciplinary guide in the form of a bibliography of selected time-related books and articles divided into 25 existing academic disciplines and about 100 subdisciplines which have a wide application to time studies.
Author : Richard B. Kemp
Publisher : Elsevier
Page : 1032 pages
File Size : 41,8 Mb
Release : 1999-12-13
Category : Science
ISBN : 0080535690
The applications and interest in thermal analysis and calorimetry have grown enormously during the last half of the 20th century. These techniques have become indispensable in the study of processes such as catalysis, hazards evaluation etc., and in measuring important physical properties quickly, conveniently and with markedly improved accuracy. Consequently, thermal analysis and calorimetry have grown in stature and more scientists and engineers have become at least part-time, practitioners. People new to the field therefore need a source of information describing the basic principles and current state of the art. The last volume of this 4 volume handbook, devoted to many aspects of biological thermal analysis and calorimetry, completes a comprehensive review of this important area. All chapters have been prepared by recognized experts in their respective fields. The approach taken is "how and what to do and when to do it". The complete work is a valuable addition to the already existing literature.