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Thermodynamics and Pattern Formation in Biology

Thermodynamics and Pattern Formation in Biology PDF Author: Ingolf Lamprecht
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110848406
Category : Science
Languages : en
Pages : 531

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Thermodynamics and Pattern Formation in Biology

Thermodynamics and Pattern Formation in Biology PDF Author: Ingolf Lamprecht
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110848406
Category : Science
Languages : en
Pages : 531

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Thermodynamic Bases of Biological Processes

Thermodynamic Bases of Biological Processes PDF Author: A. I. Zotin
Publisher: Walter de Gruyter
ISBN: 3110849976
Category : Science
Languages : en
Pages : 312

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Spatio-Temporal Pattern Formation

Spatio-Temporal Pattern Formation PDF Author: Daniel Walgraef
Publisher: Springer Science & Business Media
ISBN: 1461218500
Category : Science
Languages : en
Pages : 306

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Book Description
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.

Modelling the Dynamics of Biological Systems

Modelling the Dynamics of Biological Systems PDF Author: Eric Mosekilde
Publisher:
ISBN: 9783642792915
Category :
Languages : en
Pages : 314

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Hermann Haken: From the Laser to Synergetics

Hermann Haken: From the Laser to Synergetics PDF Author: Bernd Kröger
Publisher: Springer
ISBN: 3319116894
Category : Technology & Engineering
Languages : en
Pages : 317

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Book Description
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.

Spatial Dynamics and Pattern Formation in Biological Populations

Spatial Dynamics and Pattern Formation in Biological Populations PDF Author: Ranjit Kumar Upadhyay
Publisher: CRC Press
ISBN: 100033435X
Category : Mathematics
Languages : en
Pages : 280

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Book Description
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.

Cellular Automaton Modeling of Biological Pattern Formation

Cellular Automaton Modeling of Biological Pattern Formation PDF Author: Andreas Deutsch
Publisher: Springer Science & Business Media
ISBN: 0817644156
Category : Science
Languages : en
Pages : 331

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Book Description
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.

On the Origin of Form

On the Origin of Form PDF Author: Stuart Pivar
Publisher: North Atlantic Books
ISBN: 1556438869
Category : Science
Languages : en
Pages : 121

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Book Description
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.

Fractals in Biology and Medicine

Fractals in Biology and Medicine PDF Author: Theo F. Nonnenmacher
Publisher: Birkhäuser
ISBN: 3034885016
Category : Science
Languages : en
Pages : 397

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Book Description
"Fractals in Biology and Medicine" explores the potential of fractal geometry for describing and understanding biological organisms, their development and growth as well as their structural design and functional properties. It extends these notions to assess changes associated with disease in the hope to contribute to the understanding of pathogenetic processes in medicine. The book is the first comprehensive presentation of the importance of the new concept of fractal geometry for biological and medical sciences. It collates in a logical sequence extended papers based on invited lectures and free communications presented at a symposium in Ascona, Switzerland, attended by leading scientists in this field, among them the originator of fractal geometry, Benoit Mandelbrot. "Fractals in Biology and Medicine" begins by asking how the theoretical construct of fractal geometry can be applied to biomedical sciences and then addresses the role of fractals in the design and morphogenesis of biological organisms as well as in molecular and cell biology. The consideration of fractal structure in understanding metabolic functions and pathological changes is a particularly promising avenue for future research.

Mechanical Engineering of the Cytoskeleton in Developmental Biology

Mechanical Engineering of the Cytoskeleton in Developmental Biology PDF Author:
Publisher: Academic Press
ISBN: 9780080856889
Category : Science
Languages : en
Pages : 431

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Book Description
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.