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International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

Institutional price:	$747.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2008, Volume6

114 pages

DOI: 10.1615/IntJMultCompEng.v6.i1

Issue price - $150.00

Modeling Intrinsic Noise and Delays in Chemical Kinetics of Coupled Autoregulated Oscillating Cells

Andre Leier
Institute for Molecular Bioscience, University of Queensland, Brisbane, QLD 4072 Australia

Tatiana T. Marquez-Lago
Institute for Molecular Bioscience, University of Queensland, Brisbane, QLD 4072 Australia

Kevin Burrage
Institute for Molecular Bioscience, University of Queensland, Brisbane, QLD 4072 Australia

Pamela Burrage
Institute for Molecular Bioscience, University of Queensland, Brisbane, QLD 4072 Australia

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 τ-leap method (Bτ-DSSA). As a particular application, we apply these ideas to modeling somite segmentation in zebra fish across a number of cells in which two linked oscillatory genes (her1 and her7) are synchronized via Notch signaling between the cells.