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Going from microscopic to macroscopic on nonuniform growing domains.

Abstract:

Throughout development, chemical cues are employed to guide the functional specification of underlying tissues while the spatiotemporal distributions of such chemicals can be influenced by the growth of the tissue itself. These chemicals, termed morphogens, are often modeled using partial differential equations (PDEs). The connection between discrete stochastic and deterministic continuum models of particle migration on growing domains was elucidated by Baker, Yates, and Erban [Bull. Math. Bi...

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
Phys Rev E Stat Nonlin Soft Matter Phys
Volume:
86
Issue:
2 Pt 1
Pages:
021921
Publication date:
2012-08-05
EISSN:
1550-2376
URN:
uuid:593dcc25-c2db-430b-9360-c917d287b57e
Source identifiers:
352400
Local pid:
pubs:352400

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