Abstract
Pattern formation in development is a complex process which involves spatially distributed signals called morphogens that influence gene expression and thus the phenotypic identity of cells. Usually different cell types are spatially segregated, and the boundary between them may be determined by a threshold value of some state variable. The question arises as to how sensitive the location of such a boundary is to variations in properties, such as parameter values, that characterize the system. Here, we analyse both deterministic and stochastic reaction-diffusion models of pattern formation with a view towards understanding how the signalling scheme used for patterning affects the variability of boundary determination between cell types in a developing tissue.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 465-486 |
| Number of pages | 22 |
| Journal | Interface Focus |
| Volume | 2 |
| Issue number | 4 |
| DOIs | |
| State | Published - Mar 21 2012 |
| Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This publication was based on work supported in part by NIH grant no. GM29123 and in part by award no. KUK-C1-013-04, made by the King Abdullah University of Science and Technology (KAUST), and by the Mathematical Biosciences Institute.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.