On a model for the evolution of morphogens in a growing tissue II: $$\varvec{\theta = \log... We analyze a model for the regulation of growth and patterning in developing tissues by diffusing morphogens. We prove the well-posedness of the underlying systems of nonlinear PDEs. The key tool in the analysis is the transformation of the underlying system to an equation with singular logarithmic diffusion. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Zeitschrift für angewandte Mathematik und Physik Springer Journals On a model for the evolution of morphogens in a growing tissue II:$$\varvec{\theta = \log (2)} θ = log ( 2 ) case

, Volume 68 (4) – Aug 1, 2017
20 pages

/lp/springer_journal/on-a-model-for-the-evolution-of-morphogens-in-a-growing-tissue-ii-4CtUebO4R0
Publisher
Springer International Publishing
Subject
Engineering; Theoretical and Applied Mechanics; Mathematical Methods in Physics
ISSN
0044-2275
eISSN
1420-9039
D.O.I.
10.1007/s00033-017-0838-0
Publisher site
See Article on Publisher Site

Abstract

We analyze a model for the regulation of growth and patterning in developing tissues by diffusing morphogens. We prove the well-posedness of the underlying systems of nonlinear PDEs. The key tool in the analysis is the transformation of the underlying system to an equation with singular logarithmic diffusion.

Journal

Zeitschrift für angewandte Mathematik und PhysikSpringer Journals

Published: Aug 1, 2017

DeepDyve is your personal research library

It’s your single place to instantly
that matters to you.

over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month Explore the DeepDyve Library Search Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly Organize Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place. Access Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals. Your journals are on DeepDyve Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more. All the latest content is available, no embargo periods. DeepDyve Freelancer DeepDyve Pro Price FREE$49/month
\$360/year

Save searches from
PubMed

Create lists to

Export lists, citations