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Proceedings Paper

Stochastic delay models for molecular clocks and somite formation
Author(s): Kevin Burrage; Pamela Burrage; André Leier; Tatiana T. Marquez-Lago
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Paper Abstract

Delays are an important feature in temporal models of genetic regulation due to slow biochemical processes such as transcription and translation. In this paper we show how to model intrinsic noise effects in a delayed setting by either using a delay stochastic simulation algorithm (DSSA) or, for larger and more complex systems, a generalized Binomial tau-leap method (Bt-DSSA). As a particular application we apply these ideas to modeling somite segmentation in zebrafish across a number of cells in which two linked oscillatory genes her1 and her7 are synchronized via Notch signaling between the cells.

Paper Details

Date Published: 5 January 2008
PDF: 11 pages
Proc. SPIE 6802, Complex Systems II, 68020Z (5 January 2008); doi: 10.1117/12.776148
Show Author Affiliations
Kevin Burrage, Univ. of Queensland (Australia)
Pamela Burrage, Univ. of Queensland (Australia)
André Leier, Univ. of Queensland (Australia)
Tatiana T. Marquez-Lago, Univ. of Queensland (Australia)

Published in SPIE Proceedings Vol. 6802:
Complex Systems II
Derek Abbott; Tomaso Aste; Murray Batchelor; Robert Dewar; Tiziana Di Matteo; Tony Guttmann, Editor(s)

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