5 edition of Models of biological pattern formation found in the catalog.
|LC Classifications||QH491 .M43 1982|
|The Physical Object|
|Pagination||xi, 230 p. :|
|Number of Pages||230|
|LC Control Number||82246725|
Reaction–diffusion systems are mathematical models which correspond to several physical phenomena. The most common is the change in space and time of the concentration of one or more chemical substances: local chemical reactions in which the substances are transformed into each other, and diffusion which causes the substances to spread out over a surface in space. Postulating plausible theoretical models of biological heterogeneity is not only difficult, but it is also further complicated by the problem of generating robustness, i.e. once we can generate a pattern, how do we ensure that this pattern is consistently reproducible in the face of perturbations to the domain, reaction time scale, boundary.
A Theory of Biological Pattern Formation A. Gierer and H. Meinhardt Max-Planck-Institut ftir Virusforschung, Ttibingen, Germany Received: September 8, Abstract One of the elementary processes in morphogenesis is the formation of a spatial pattern of tissue structures, starting from almost homogeneous tissue. Meinhardt, H (), Models of biological pattern formation (Academic Press). Meinhardt, H. and Klingler, M. (), A model for pattern formation on the shells of molluscs. J. theor. Biol , Meinhardt, H. (). The Algorithmic Beauty of Sea Shells. 3rd enlarged edition Springer, Heidelberg, New York (with PC - software).
This st IMA volume, entitled MATHEMATICAL MODELS FOR BIOLOGICAL PATTERN FORMATION is the first of a new series called FRONTIERS IN APPLICATION OF MATHEMATICS. The Turing, or reaction-diffusion (RD), model is one of the best-known theoretical models used to explain self-regulated pattern formation in the developing animal embryo. Although its real-world relevance was long debated, a number of compelling examples have gradually alleviated much of the skepticism surrounding the model. The RD model can generate a wide variety of spatial patterns.
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Download of "Models of Biological pattern formation" Download in a single pdf-file ( MB) The book appeared in with Academic Press, London. The models were developed on the basis of the observed regulatory behaviors known at that time.
Models Biological Pattern Formation by Author Unknown (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. In this book, general classes of molecular interactions that lead to biological pattern are presented along with detailed modeling of particular developmental systems.
It will be shown that a relatively. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is divided into three parts: Part I deals with general principles, theories, and models of pattern formation; Part II examines cellular automaton modeling; and Part III explains various.
Pattern formation does not only occur between cells but also within a cell. Intracellular pattern formation is often the first pattern that is generated in development.
Pattern formation in the egg of the brown alga Fucus is an example of an unstable system where almost any external asymmetry can orient Models of biological pattern formation book emerging pattern (Jaffe, Cited by: In Morphogenesis and Pattern Formation in Biological Systems: Experiments and Models, experimental and theoretical aspects of biology are integrated for the construction and investigation of models of complex processes.
This collection of articles on the latest advances by leading researchers not only brings together work from a wide spectrum. 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. This is important in the context of biological pattern formation, as not only do patterns need to form, but, also, in many cases, it is imperative that the transition sequences are reliably reproducible.
Models of biological pattern formation, vol. London, UK: Academic Press. Google Scholar. Biological patterns such as animal markings, the segmentation of animals, and phyllotaxis are formed in different ways. In developmental biology, pattern formation describes the mechanism by which initially equivalent cells in a developing tissue in an embryo assume complex forms and functions.
Embryogenesis, such as of the fruit fly Drosophila, involves coordinated control of cell fates. 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.
"This book focuses on [the] application of so-called lattice-gas cellular automaton models to the field of biological pattern formation.
In the book, the authors describe an interesting number of applications of the method in the field of biological pattern s: 1. 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.
Vertebrate limb development is a model system in developmental biology for the study of tissue growth, pattern formation and differentiation. This paper gives an overview of. 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.
complex patterns can be generated by hierarchical su-perimposition of several pattern forming systems. The formation of a regular periodic arrangement of different cell types or the generation of polygonal patterns will be discussed. The models of that section are original and so far unpublished.
Appendix 7 contains a complete discussion of the. Biological pattern formation - a marriage of theory and experiment.- Spatiotemporal pattern formation in early development: A review of primitive streak formation and somitogenesis.- Mathematical modeling of vertebrate limb development.- Models for pigment pattern formation in the skin of fishes.- Generic modelling of vegetation patterns.
Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation Shigeru Kondo1* and Takashi Miura2 The Turing, or reaction-diffusion (RD), model is one of the best-known theoretical models used to explain self-regulated pattern formation in.
Models of Biological Pattern Formation (Academic Press, London, ) The book begins by discussing mechanisms which have the ability to generate biological patterns.
Models of biological pattern formation. [Hans Meinhardt] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Hans Meinhardt.
Find more information about: ISBN:. Models of Biological Pattern Formation, () by H Meinhardt Add To MetaCart. Tools. Sorted by Inwe proposed a theory of biological pattern formation in which concentration maxima of pattern forming substances are generated through local self-enhancement in conjunction with long range inhibition.
Since then, much evidence in various. "This book focuses on [the] application of so-called lattice-gas cellular automaton models to the field of biological pattern formation. In the book, the authors describe an interesting number of applications of the method in the field of biological pattern by: Models of biological pattern formation, vol.
6 London, UK: Academic Press [Google Scholar] 6. Kondo S., Asai R. A reaction–diffusion wave on the skin of the marine angelfish Pomacanthus.
Nature–/a0 (doi/a0) [Google Scholar] 7. Murray J. D. of Biological Pattern Formation Characterization, Examples, and Analysis Second Edition theoreticians are developing mathematical and computational models at this level and, with ever-enhancing computing power, these models are becoming problems in the context of biological pattern formation.
The book provides.