ArticleThe Journal of chemical physics2011
Physical interpretation of mean local accumulation time of morphogen gradient formation.
Article in The Journal of chemical physics, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Cellular diffusion processes in singularly perturbed domains.Journal of mathematical biology · 2024Review
- Quantifying Temperature Compensation of Bicoid Gradients with a Fast T-Tunable Microfluidic Device.Biophysical journal · 2020Article
- Estimating first-passage time distributions from weighted ensemble simulations and non-Markovian analyses.Protein science : a publication of the Protein Society · 2016Article
- Kinetics of receptor occupancy during morphogen gradient formation.The Journal of chemical physics · 2013Article
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Authors and funding
2 authors.
Funding
Abstract
The paper deals with a reaction-diffusion problem that arises in developmental biology when describing the formation of the concentration profiles of signaling molecules, called morphogens, which control gene expression and, hence, cell differentiation. The mean local accumulation time, which is the mean time required to reach the steady state at a fixed point of a patterned tissue, is an important characteristic of the formation process. We show that this time is a sum of two times, the conditional mean first-passage time from the source to the observation point and the mean local accumulation time in the situation when the source is localized at the observation point.
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