Results 261 to 270 of about 201,067 (302)

When Fertilization Is Not Enough: Maternal-Zygotic Transition as a Determinant of Embryo Competence in IVF. [PDF]

open access: yesInt J Mol Sci
Voros C   +17 more
europepmc   +1 more source

Systems of pattern formation within developmental biology

Progress in Biophysics and Molecular Biology, 2021
Applications of mathematical models to developmental biology have provided helpful insight into various subfields, ranging from the patterning of animal skin to the development of complex organ systems. Systems involved in patterning within morphology present a unique path to explain self-organizing systems. Current efforts show that patterning systems,
Juhyun Lee, Samantha Laboy
exaly   +4 more sources

8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology

open access: yes, 2012
In this paper we present mathematical approaches to understand a symmetry break and formation of spatially heterogenous structures during development.
Anna Marciniak-Czochra
exaly   +4 more sources

Developmental Pattern Formation: Insights from Physics and Biology

Science, 2012
The spatial organization of cell fates during development involves the interpretation of morphogen gradients by cellular signaling cascades and transcriptional networks. Recent studies use biophysical models, genetics, and quantitative imaging to unravel how tissue-level morphogen behavior arises from subcellular events.
Anna Kicheva, James Briscoe
exaly   +4 more sources

A three level finite element approximation of a pattern formation model in developmental biology

Numerische Mathematik, 2013
The paper under review provides a thorough numerical analysis of a multilevel semidiscretization of a weak formulation of a reaction-diffusion equation. This approach, discretizing first in time and conceptually replacing the reaction-diffusion equation with a sequence of spatial PDE (in this case elliptic problems) is known as Rothe's method or more ...
Marcus R. Garvie, Catalin Trenchea
openaire   +2 more sources

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