Join over For centuries scientists have tried to understand the growth and development of multicellular organisms. More recently, with the help of mathematical models and computerized simulations, they have discovered algorithmic patterns and models that seem to describe the dynamic processes in which organisms grow, reproduce, and respond to external factors.
In this fascinating and beautifully illustrated book, Hans Meinhardt explains and illustrates these structural growth patterns in the case of sea shells. The book delightfully conveys the intuitive appeal and the "touch of magic" in this research. A diskette packaged with the book contains a program that allows the reader to run the simulations on a PC.
New patterns can be generated interactively to provide an insight into the process of biological pattern formation. There are seventy-seven professional color photographs, illustrating wonderful facts about the nine most commonly found North Atlantic. The fascinating patterns on the shells of tropical sea snails are not only compellingly beautiful but also tell a tale of biological development.
The decorative patterns are records of their own genesis, which follows laws such as those of dune formation or the spread of a flu epidemic. Hans Meinhardt. View 8 excerpts, cites background and methods.
View 6 excerpts, cites methods and background. Angewandte Chemie. View 5 excerpts, cites background. Hybrid asymptotic-numerical analysis of pattern formation problems. In this thesis we present an analysis of the Gierer-Meinhardt model with saturation GMS on various curve geometries in R. We derive a boundary fitted coordinate framework which translates an … Expand.
A model for tube formation and branching in Cnidaria. Central European Journal of Biology. View 6 excerpts, cites methods. Molecular evidence for an activator-inhibitor mechanism in development of embryonic feather branching. View 5 excerpts, cites background and methods. Out-of-phase oscillations and traveling waves with unusual properties: the use of three-component systems in biology. Pattern formation requires the interaction of a self-enhancing component and its long-ranging antogonist.
If once established maxima are quenched by a second local-acting antagonist, three-component … Expand. Asymptotic and numerical methods are used to highlight different types of dynamical behaviors that occur for the motion of a localized spike-type solution to the singularly perturbed Gierer-Meinhardt … Expand. View 5 excerpts, cites methods and background. Author s : Gandhi, Punit Advisor s : Knobloch, Edgar Abstract: The generalized Swift--Hohenberg equation is used to study the persistence and decay of localized patterns in the presence of … Expand.
View 3 excerpts, cites background. Front Matter Pages i-xi. Shell patterns — a natural picture book to study dynamic systems and biological pattern formation.
Pages Pattern formation by local self-enhancement and long range inhibition. Oscillations and travelling waves. Superposition of stable and periodic patterns. Crossings, meshwork of oblique lines and staggered dots: the combined action of two antagonists.
Branch initiation by global control. The big problem: two or more time-dependent patterns that cause interference.
0コメント