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Morphogenesis and Pattern Formation in Biological Systems by T. Sekimura,S. Noji,N. Ueno,Philip Maini Pdf
A central goal of biology is to decode the mechanisms that underlie the processes of morphogenesis and pattern formation. Concerned with the analysis of those phenomena, this book integrates experimental and theoretical aspects of biology for the construction and investigation of models of complex processes. It offers an interdisciplinary approach to the pattern formation problems and provides a scope of forthcoming integrated biology including experiments and theories.
Pattern Formation in Morphogenesis by Vincenzo Capasso,Misha Gromov,Annick Harel-Bellan,Nadya Morozova,Linda Louise Pritchard Pdf
Pattern Formation in Morphogenesis is a rich source of interesting and challenging mathematical problems. The volume aims at showing how a combination of new discoveries in developmental biology and associated modelling and computational techniques has stimulated or may stimulate relevant advances in the field. Finally it aims at facilitating the process of unfolding a mutual recognition between Biologists and Mathematicians of their complementary skills, to the point where the resulting synergy generates new and novel discoveries. It offers an interdisciplinary interaction space between biologists from embryology, genetics and molecular biology who present their own work in the perspective of the advancement of their specific fields, and mathematicians who propose solutions based on the knowledge grasped from biologists.
Mathematical Models for Biological Pattern Formation by Philip K. Maini,Hans G. Othmer Pdf
This 121st IMA volume, entitled MATHEMATICAL MODELS FOR BIOLOGICAL PATTERN FORMATION is the first of a new series called FRONTIERS IN APPLICATION OF MATHEMATICS. The FRONTIERS volumes are motivated by IMA pro grams and workshops, but are specially planned and written to provide an entree to and assessment of exciting new areas for the application of mathematical tools and analysis. The emphasis in FRONTIERS volumes is on surveys, exposition and outlook, to attract more mathematicians and other scientists to the study of these areas and to focus efforts on the most important issues, rather than papers on the most recent research results aimed at an audience of specialists. The present volume of peer-reviewed papers grew out of the 1998-99 IMA program on "Mathematics in Biology," in particular the Fall 1998 em phasis on "Theoretical Problems in Developmental Biology and Immunol ogy." During that period there were two workshops on Pattern Formation and Morphogenesis, organized by Professors Murray, Maini and Othmer. James Murray was one of the principal organizers for the entire year pro gram. I am very grateful to James Murray for providing an introduction, and to Philip Maini and Hans Othmer for their excellent work in planning and preparing this first FRONTIERS volume. I also take this opportunity to thank the National Science Foundation, whose financial support of the IMA made the Mathematics in Biology pro gram possible.
Cellular Automaton Modeling of Biological Pattern Formation by Andreas Deutsch,Sabine Dormann Pdf
This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this edition are chapters covering cell migration, tissue development, and cancer dynamics, as well as updated references and new research topic suggestions that reflect the rapid development of the field. The book begins with an introduction to pattern-forming principles in biology and the various mathematical modeling techniques that can be used to analyze them. Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media. In the final chapter, the authors critically discuss possibilities and limitations of the cellular automaton approach in modeling various biological applications, along with future research directions. Suggestions for research projects are provided throughout the book to encourage additional engagement with the material, and an accompanying simulator is available for readers to perform their own simulations on several of the models covered in the text. QR codes are included within the text for easy access to the simulator. With its accessible presentation and interdisciplinary approach, Cellular Automaton Modeling of Biological Pattern Formation is suitable for graduate and advanced undergraduate students in mathematical biology, biological modeling, and biological computing. It will also be a valuable resource for researchers and practitioners in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science. PRAISE FOR THE FIRST EDITION “An ideal guide for someone with a mathematical or physical background to start exploring biological modelling. Importantly, it will also serve as an excellent guide for experienced modellers to innovate and improve their methodologies for analysing simulation results.” —Mathematical Reviews
Pattern Formation In The Physical And Biological Sciences by H. Frederick Nijhout Pdf
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.
M. A. J. Chaplain,G. D. Singh,J. C. McLachlan,Gurdev Singh
Author : M. A. J. Chaplain,G. D. Singh,J. C. McLachlan,Gurdev Singh Publisher : John Wiley & Sons Page : 448 pages File Size : 42,8 Mb Release : 1999 Category : Mathematics ISBN : UOM:39015042480759
On Growth and Form by M. A. J. Chaplain,G. D. Singh,J. C. McLachlan,Gurdev Singh Pdf
On Growth and Form Spatio-temporal Pattern Formation in Biology M. A. J. Chaplain and G. D. Singh, both of the University of Dundee, UK J. C. McLachlan, St. Andrews University, UK Spatio-temporal pattern formation is a major area of research within the subject of mathematical biology. The topic involves the use of mathematical modelling to analyse how patterns in biology are created and develop. For example, the growth, over time, of the intricate and beautiful patterns on certain sea-shells or the striped markings on a tiger can be modelled and their development predicted in terms of non-linear mathematical processes. The current volume captures the breadth of recent research into various aspects of spatio-temporal pattern and form, such as development biology, reaction-diffusion systems and morphometrics. * Brings the ideas of the classic On Growth and Form by D'Arcy Thompson, the founding classic of mathematical biology, fully up to date and looks to future developments in the subject * Foreword provided by Professor John Tyler Bonner, Princeton University * World class collection of internationally renowned contributors from both experimental and theoretical backgrounds Taking its inspiration from D'Arcy Thompson's classic and still influential volume On Growth and Form, this new volume presents a collection of 21 articles from the Plenary Speakers of the recent D'Arcy Thompson Conference, held at the University of Dundee, 20-24 September 1998. The topics covered include pattern formation in development biology, reaction-diffusion systems, intercellular systems and morphometrics, offering the reader a stimulating blend of theory and experiment. This book will be of particular interest to bio-mathematicians and development biologists. Paediatric clinicians, evolutionary biologists, orthodontists, anatomists, physiologists and many other members of the biology community will also benefit greatly from it.
Pattern Formation in Biology, Vision and Dynamics by Alessandra Carbone,Misha Gromov,Przemsylaw Prusinkiewicz Pdf
Half a billion years of evolution have turned the eye into an unbelievable pattern detector. Everything we perceive comes in delightful multicolored forms. Now, in the age of science, we want to comprehend what and why we see. Two dozen outstanding biologists, chemists, physicists, psychologists, computer scientists and mathematicians met at the Institut d'Hautes Etudes Scientifiques in Bures-sur-Yvette, France. They expounded their views on the physical, biological and physiological mechanisms creating the tapestry of patterns we see in molecules, plants, insects, seashells, and even the human brain. This volume comprises surveys of different aspects of pattern formation and recognition, and is aimed at the scientifically minded reader. p>Sample Chapter(s) Chapter 1.1: Introduction (242 KB) Chapter 1.2: Single blind agent with finite memory (170 KB) Chapter 1.3: Single blind agent with inflnite memory (190 KB) Chapter 1.4: Single sighted agent receiving cues from the environment (one-way exogenous control) (315 KB) Chapter 1.5: Single sighted agent receiving cues from the structure (two-way exogenous control) (165 KB) Chapter 1.6: Single self-controlled agent (endogenous control) (176 KB) Chapter 1.7: Multiple blind agents with finite memory (189 KB) Chapter 1.8: Multiple blind agents with infinite memory (124 KB) Chapter 1.9: Multiple sighted agents (264 KB) Contents:Growth and Form:Paradigms of Pattern Formation — Towards a Computational Theory of Morphogenesis (P Prusinkiewicz)Growth and Form of Sponges and Corals in a Moving Fluid (J A Kaandorp & P M A Sloot)From Pseudo-Random Numbers to Stochastic Growth Models and Texture Images (L P Yaroslavsky)Crystal Growth, Biological Cell Growth, and Geometry (J W Cannon et al.)Recent Results on Aperiodic Wang Tilings (J Kari)Reaction-Diffusion and Beyond:Biological Pattern Formation as a Complex Dynamic Phenomenon (H Meinhardt)Andronov Bifurcations and Sea Shell Patterns (M Argentina & P Coullet)Rational and Irrational Angles in Phyllotaxis (Y Couder & S Douady)Cellular Patterns:Organogenetic Cellular Patterning in Plants (P W Barlow et al.)A Classification of Plant Meristems Based on Cellworks (3D L-Systems). The Maintainance and Complexity of Their Cellular Patterns (J Lück & H B Lück)Plant Meristems and Their Patterns (B Zagórska-Marek)Mechanical Stress Patterns in Plant Cell Walls and Their Morphogenetical Importance (Z Hejnowicz)Tensorial Model for Growth and Cell Division in the Shoot Apex (J Nakielski)DNA and Genetic Control:DNA Nanotechnology — From Topological Control to Structural Control (N C Seeman)3D DNA Patterns and Computation (N Jonoska)Circular Suggestions for DNA Computing (T Head)DNA Computing by Matching — Sticker Systems and Watson-Crick Automata (G Paun)Images and Perception:Aspects of Human Shape Perception (J Ninio)Pattern Recognition in the Visual System and the Nature of Neural Coding (S Thorpe)How Can Singularity Theory Help in Image Processing? (M Briskin et al.) Readership: Biologists, mathematicians and computer scientists. Keywords:Growth Models;L-Systems;Cell Growth;Phyllotaxis;Cellular Patterns;DNA Nanotechnology;DNA Computation;Tiling;Vision;Pattern Recognition;Shape PerceptionReviews: “This gorgeously produced book gives an important entrée into the emerging world of biological mathematics … One of the most revolutionary and exciting areas discussed in this book is that of DNA computing and DNA nanotechnology … Mathematicians should find this book a fascinating introduction as well as a useful source book.” Journal la Gazette des Mathematiciens
Spatial Dynamics and Pattern Formation in Biological Populations by Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar Pdf
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.
Pattern Formation in Morphogenesis by Vincenzo Capasso,Misha Gromov,Annick Harel-Bellan,Nadya Morozova,Linda Louise Pritchard Pdf
Pattern Formation in Morphogenesis is a rich source of interesting and challenging mathematical problems. The volume aims at showing how a combination of new discoveries in developmental biology and associated modelling and computational techniques has stimulated or may stimulate relevant advances in the field. Finally it aims at facilitating the process of unfolding a mutual recognition between Biologists and Mathematicians of their complementary skills, to the point where the resulting synergy generates new and novel discoveries. It offers an interdisciplinary interaction space between biologists from embryology, genetics and molecular biology who present their own work in the perspective of the advancement of their specific fields, and mathematicians who propose solutions based on the knowledge grasped from biologists.
Pattern Formation and Dynamics in Nonequilibrium Systems by Michael Cross,Henry Greenside Pdf
An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.
