Pattern Formation in Biology, Vision and Dynamics

Front Cover
World Scientific, 2000 - Science - 423 pages
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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.

 

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Contents

Crystal Growth Biological Cell Growth and Geometry
65
Recent Results on Aperiodic Wang Tilings
83
Biological Pattern Formation as a Complex Dynamic
99
Andronov Bifurcations and Sea Shell Patterns
133
Rational and Irrational Angles in Phyllotaxis
145
Organogenetic Cellular Patterning in Plants
163
A Classification of Plant Meristems based on Cellworks
199
Conclusion
214
Construction of DNA Polyhedra
282
Construction of DNA Knots
288
Nanomechanical Devices
297
3D DNA Patterns and Computation
310
Circular Suggestions for DNA Computing
325
Sticker Systems
336
Variants of WatsonCrick Automata
356
Aspects of Human Shape Perception
365

Mechanical Stress Patterns in Plant Cell Walls and Their
240
Tensorial Model for Growth and Cell Division in
252
From Topological Control to Structural
271
Preface
vii
Towards a Computational
3
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