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  Beyond spots and stripes: Generation of more complex patterns by modification and additions of the basic reaction

Meinhardt, H. (2001). Beyond spots and stripes: Generation of more complex patterns by modification and additions of the basic reaction. In P. Maini, & H. Othmer (Eds.), Mathematical Models for Biological Pattern Formation (pp. 143-165). New York, NY, USA: Springer.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000B-FBC0-1 Version Permalink: https://hdl.handle.net/21.11116/0000-000B-FBC1-0
Genre: Conference Paper

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 Creators:
Meinhardt, H1, Author                 
Affiliations:
1Department Integrative Evolutionary Biology, Max Planck Institute for Developmental Biology, Max Planck Society, ou_3375786              

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 Abstract: The question of how a complex organism can develop from a Single fertilized egg has fascinated biologist for more than two centuries. In earlier times, basic insights have been obtained from experiments in which normal development has been perturbed. Like all other biological processes, development must be accomplished by interactions of molecules. From the regulations observed after experimental perturbations one cannot deduce directly the molecular interactions involved, however, these observations allow one to work out hypothetical interactions that have the same dynamic properties. A theory of development has to describe concentration changes of the relevant substances as functions of space and time. We have worked out several mathematically formulated models for different developmental situations that where able to describe many of the observations rather precisely. Since the molecular basis of development was completely unknown at that time, these models made firm predictions on the general types of interactions on which development is based.

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 Dates: 2001
 Publication Status: Issued
 Pages: -
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 Rev. Type: -
 Identifiers: DOI: 10.1007/978-1-4613-0133-2_7
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Title: IMA Program on Mathematics in Biology: Theoretical Problems in Developmental Biology and Immunology
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Start-/End Date: 1998

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Title: Mathematical Models for Biological Pattern Formation
Source Genre: Proceedings
 Creator(s):
Maini, PK, Editor
Othmer, HG, Editor
Affiliations:
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Publ. Info: New York, NY, USA : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 143 - 165 Identifier: ISBN: 978-0-387-95103-4
DOI: 10.1007/978-1-4613-0133-2

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Title: The IMA Volumes in Mathematics and its Applications
Source Genre: Series
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Pages: - Volume / Issue: 121 Sequence Number: - Start / End Page: - Identifier: -

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Title: Frontiers in Applications of Mathematics
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Pages: - Volume / Issue: 4522 Sequence Number: - Start / End Page: - Identifier: -