Models Of Biological Pattern Formation

Author : Andreas Deutsch,Sabine Dormann
Publisher : Birkhäuser
Page : 464 pages
File Size : 45,7 Mb
Release : 2018-03-09
Category : Mathematics
ISBN : 9781489979803

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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

Author : Hans Meinhardt
Publisher : Unknown
Page : 252 pages
File Size : 45,9 Mb
Release : 1982
Category : Science
ISBN : UCSD:31822010045482

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Models of Biological Pattern Formation by Hans Meinhardt Pdf

Author : Philip K. Maini,Hans G. Othmer
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461301332

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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.

Author : Andreas Deutsch,Sabine Dormann
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 43,6 Mb
Release : 2007-12-26
Category : Science
ISBN : 9780817644154

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Cellular Automaton Modeling of Biological Pattern Formation by Andreas Deutsch,Sabine Dormann Pdf

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 : T. Sekimura,S. Noji,N. Ueno,Philip Maini
Publisher : Springer Science & Business Media
Page : 391 pages
File Size : 41,7 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9784431659587

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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.

Author : Vincenzo Capasso,Misha Gromov,Annick Harel-Bellan,Nadya Morozova,Linda Louise Pritchard
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 43,5 Mb
Release : 2012-10-03
Category : Mathematics
ISBN : 9783642201639

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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.

Author : Jeff Jones
Publisher : Springer
Page : 370 pages
File Size : 41,8 Mb
Release : 2015-05-15
Category : Technology & Engineering
ISBN : 9783319168234

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From Pattern Formation to Material Computation by Jeff Jones Pdf

This book addresses topics of mobile multi-agent systems, pattern formation, biological modelling, artificial life, unconventional computation, and robotics. The behaviour of a simple organism which is capable of remarkable biological and computational feats that seem to transcend its simple component parts is examined and modelled. In this book the following question is asked: How can something as simple as Physarum polycephalum - a giant amoeboid single-celled organism which does not possess any neural tissue, fixed skeleton or organised musculature - can approximate complex computational behaviour during its foraging, growth and adaptation of its amorphous body plan, and with such limited resources? To answer this question the same apparent limitations as faced by the organism are applied: using only simple components with local interactions. A synthesis approach is adopted and a mobile multi-agent system with very simple individual behaviours is employed. It is shown their interactions yield emergent behaviour showing complex self-organised pattern formation with material-like evolution. The presented model reproduces the biological behaviour of Physarum; the formation, growth and minimisation of transport networks. In its conclusion the book moves beyond Physarum and provides results of scoping experiments approximating other complex systems using the multi-agent approach. The results of this book demonstrate the power and range of harnessing emergent phenomena arising in simple multi-agent systems for biological modelling, computation and soft-robotics applications. It methodically describes the necessary components and their interactions, showing how deceptively simple components can create powerful mechanisms, aided by abundant illustrations, supplementary recordings and interactive models. It will be of interest to those in biological sciences, physics, computer science and robotics who wish to understand how simple components can result in complex and useful behaviours and who wish explore the potential of guided pattern formation themselves.

Author : A. Deutsch,S. Dormann
Publisher : Unknown
Page : 128 pages
File Size : 43,6 Mb
Release : 2004
Category : Electronic
ISBN : 3764342811

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Cellular Automaton Modeling of Biological Pattern Formation by A. Deutsch,S. Dormann Pdf

Author : Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Publisher : Chapman & Hall/CRC
Page : 0 pages
File Size : 44,9 Mb
Release : 2021
Category : Mathematics
ISBN : 1000334244

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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.

Author : Ruth Bellairs
Publisher : Springer Science & Business Media
Page : 318 pages
File Size : 43,8 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489920133

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Somites in Developing Embryos by Ruth Bellairs Pdf

Somite development is a unique and important topic; unique because somitic mesoderm is the first tissue to become segmented, important because the somites - once established - exert a profound influence on other seg mental structures which form later. Somite development is of interest at a number of levels. In one aspect, demarcation of a specific number of somites and size regulation, it is a particularly intriguing example of embryonic pattern formation, 'especially in vew of its possible relation to homoeobox-controlled segmentation in insects. At another level, somite development has long been studied by compara tive anatomists, but only recently has new light been thrown on such sub jects as segmentation of the head, proposed in the 18th century by Goethe and now a live issue for developmental biologists. Somit es are simple when they first appear, but very complex structures arise from them. These include the vertebrae and the axial and other muscles and consequently there is a wealth of morphogenetic problems to be explored. Sometimes their morphogenesis is disturbed, by genetic or environ mental factors, and there are many clinical conditions which arise as a result.

Author : Hans G. Othmer,Philip K. Maini,James D. Murray
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461524335

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Experimental and Theoretical Advances in Biological Pattern Formation by Hans G. Othmer,Philip K. Maini,James D. Murray Pdf

This volume contains the proceedings of the NATO ARW on 'Biological Pattern Formation' held at Merton College, University of Oxford, on 27-31 August, 1992. The objective of the workshop was to bring together a select group of theoreticians and experimental biologists to present the latest results in the area of biological pattern formation and to foster interactiqn across dis- plines. The workshop was divided into 5 main areas: (i) limb development, (ii) Dictyostelium discoideum, (iii) Drosophila, (iv) cell movement, (v) g- eral pattern formation. We thank all the participants for their contributions, enthusiasm, and willingness to collaborate. There was a genuine, open, and extremely fru- ful interaction between the experimentalists and theoreticians which made the workshop a success. We also thank The Welcome Trust for providing additional funding. The local organization fell mainly on Denise McKittrick and Beverley Bhaskhare at the Mathematical Institute, Oxford, and Jeanette Hudson and the staff of Merton College. We greatly appreciate their help and patience. We also thank Jonathan Sherratt, Wendy Brandts and Debbie Benson for helping out in the conference and for providing a happy welcome to parti- pants on a typically cold, wet and windy English summer day.

Author : H. Frederick Nijhout
Publisher : CRC Press
Page : 318 pages
File Size : 44,5 Mb
Release : 2018-02-19
Category : Mathematics
ISBN : 9780429972997

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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.

Author : S. Barry Cooper,Andrew Hodges
Publisher : Cambridge University Press
Page : 128 pages
File Size : 46,6 Mb
Release : 2016-03-24
Category : Mathematics
ISBN : 9781316589175

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The Once and Future Turing by S. Barry Cooper,Andrew Hodges Pdf

Alan Turing (1912–1954) made seminal contributions to mathematical logic, computation, computer science, artificial intelligence, cryptography and theoretical biology. In this volume, outstanding scientific thinkers take a fresh look at the great range of Turing's contributions, on how the subjects have developed since his time, and how they might develop still further. The contributors include Martin Davis, J. M. E. Hyland, Andrew R. Booker, Ueli Maurer, Kanti V. Mardia, S. Barry Cooper, Stephen Wolfram, Christof Teuscher, Douglas Richard Hofstadter, Philip K. Maini, Thomas E. Woolley, Eamonn A. Gaffney, Ruth E. Baker, Richard Gordon, Stuart Kauffman, Scott Aaronson, Solomon Feferman, P. D. Welch and Roger Penrose. These specially commissioned essays will provoke and engross the reader who wishes to understand better the lasting significance of one of the twentieth century's deepest thinkers.

Author : Geoffrey Grinstein,G Mazenko
Publisher : World Scientific
Page : 270 pages
File Size : 40,8 Mb
Release : 1986-08-01
Category : Science
ISBN : 9789814513609

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Directions In Condensed Matter Physics: Memorial Volume In Honor Of Shang-keng Ma by Geoffrey Grinstein,G Mazenko Pdf

This volume collects several in-depth articles giving lucid discussions on new developments in statistical and condensed matter physics. Many, though not all, contributors had been in touch with the late S-K Ma. Written by some of the world's experts and originators of new ideas in the field, this book is a must for all researchers in theoretical physics. Most of the articles should be accessible to diligent graduate students and experienced readers will gain from the wealth of materials contained herein.

Author : Joseph Frankel
Publisher : Oxford University Press, USA
Page : 348 pages
File Size : 55,5 Mb
Release : 1989
Category : Biological models
ISBN : UCAL:B4456708

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Pattern Formation by Joseph Frankel Pdf

This book provides the first comprehensive review of pattern formation in ciliates, along with an analysis of general mechanisms of pattern formation. The author emphasizes the integrative mechanisms that encompass the entire cell surface, and pays particular attention to genetic and non-genetic mirror-image reversals of asymmetry. A conceptual model for large-scale intracellular organization is included. The perspective derived from ciliate studies is applied to the early development of multicellular organisms, particularly embryos of Drosophilia. The book will be accessible to developmental biologists with no prior familiarity with ciliates.