Access the full text.
Sign up today, get DeepDyve free for 14 days.
H. Meinhardt (1973)
Morphogenesis of lines and netsDifferentiation, 6
Y. Kergosien (1986)
Local Versus Global Minima, Hysteresis, Multiple Meanings
R. Brady, R. Ball (1984)
Fractal growth of copper electrodepositsNature, 309
T. Kohonen (1988)
Self-Organization and Associative Memory
H.B. Rosenstock, C.L. Marquardt (1980)
Cluster formation in two-dimensional random walksPhysical Review B, 22
J. Langer, H. Müller-krumbhaar (1978)
THEORY OF DENDRITIC GROWTH—I. ELEMENTS OF A STABILITY ANALYSISActa Metallurgica, 26
J. Langer (1980)
Instabilities and pattern formation in crystal growthReviews of Modern Physics, 52
H. Rosenstock, C. Marquardt (1980)
Erratum: Cluster formation in two-dimensional random walks: Application to photolysis of silver halidesPhysical Review B, 22
J.S. Langer, H. Muller-Krumbhaar (1978)
Theory of dendritic growthActa Metal., 26
Y.L. Kergosien (1989)
Neural Networks from Models to Applications
C. Ponsard (1986)
Marchés, Capital, et Incertitude (Essais en l'honneur de Maurice Allais)
D. Rumelhart, D. Zipser (1986)
Feature discovery by competitive learning
T. Witten, L. Sander (1981)
Diffusion-limited aggregation, a kinetic critical phenomenonPhysical Review Letters, 47
H. Meinhardt (1976)
Models and HypothesesDifferentiation, 6
Acta Biotheoretica 38: 243-255, 1990. © 1990 Kluwer Academic Publishers, Printed in the Netherlands. ADAPTIVE RAMIFICATION: COMPARING MODELS FOR BIOLOGICAL, ECONOMICAL, AND CONCEPTUAL ORGANIZATION Y.L. Kergosien Math6matiques, Bat. 425, Universit~ Paris-Sud, F-91405 Orsay Cedex 1. INTRODUCTION Ramification is the most strikingly ubiquitous pattern to be observed in the morphogenesis of higher plants, and one also finds it when studying organization phenomena in many other fields of biology, as well as in physics and economics. Despite different detailed underlying mechanisms for the formation of these structures, it is tempting to try to explain this ubiquity. Optimality is certainly a property that one would want to invoke first as a common feature of these structures. But the fact that ramification occurs in fields such as physics, where an evolutionary selection of optimal achieved structures cannot be called upon, calls for a search in terms of ontogenetic mechanisms. It would be interesting to show that these ramifying patterns can be the common epigenetic result of a whole class of different local interaction rules. In a second study, one could investigate how optimal these structures really are, and, for instance, how the simple character of these local rules determines global optimal, or near
Acta Biotheoretica – Springer Journals
Published: May 3, 2004
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.