Models of biological pattern formation: from elementary steps to the organization of embryonic axes

H Meinhardt - Current topics in developmental biology, 2008 - Elsevier
An inroad into an understanding of the complex molecular interactions on which
development is based can be achieved by uncovering the minimum requirements that …

Pattern formation models and developmental constraints

GF Oster, JD Murray - Journal of Experimental Zoology, 1989 - Wiley Online Library
Most schemes for embryonic pattern formation are built around the notion of lateral
inhibition. Models of this type arise in many settings, and all share some common …

Specification of the basic body pattern in insect embryogenesis

K Sander - Advances in insect physiology, 1976 - Elsevier
Publisher Summary This chapter focuses on the problem of pattern specification in early
insect embryogenesis, essentially on the formal level characteristic of “classical” …

The intersection of theory and application in elucidating pattern formation in developmental biology

HG Othmer, K Painter, D Umulis… - Mathematical modelling of …, 2009 - cambridge.org
We discuss theoretical and experimental approaches to three distinct developmental
systems that illustrate how theory can influence experimental work and vice-versa. The …

[PDF][PDF] Organizer and axes formation as a self-organizing process.

H Meinhardt - The International Journal of Developmental Biology, 2001 - Citeseer
It is a widely held view that axis formation is based essentially on pre-localized
determinants. However, the robustness of early development, the pattern regulation …

Mechanisms of pattern formation in development and evolution

I Salazar-Ciudad, J Jernvall, SA Newman - 2003 - journals.biologists.com
We present a classification of developmental mechanisms that have been shown
experimentally to generate pattern and form in metazoan organisms. We propose that all …

[PDF][PDF] Modeling pattern formation in hydra: a route to understanding essential steps in development

H Meinhardt - International Journal of Developmental Biology, 2012 - researchgate.net
Modeling of pattern formation in hydra has revealed basic mechanisms that underlie the
reproducible generation of complex and self-regulating patterns. Organizing regions can be …

Gene networks capable of pattern formation: from induction to reaction–diffusion

I SALAZAR-CIUDAD, J GARCIA-FERNÁNDEZ… - Journal of theoretical …, 2000 - Elsevier
One of the main aims of developmental biology is to understand how a single and
apparently homogeneous egg cell achieves the intricate complexity of the adult. Here we …

Mathematics and biology: a Kantian view on the history of pattern formation theory

S Roth - Development genes and evolution, 2011 - Springer
Driesch's statement, made around 1900, that the physics and chemistry of his day were
unable to explain self-regulation during embryogenesis was correct and could be extended …

Polarity and patterns in the postembryonic development of insects

PA Lawrence - Advances in Insect Physiology, 1970 - Elsevier
Publisher Summary The basic embryological phenomena do recur at insect metamorphosis.
This chapter describes how work with insects has produced some central information …