Author: Alessandra Carbone
Publisher: World Scientific
Published: 2000-04-11
Total Pages: 444
ISBN-13: 9814495182
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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
