Stochastic delay models for molecular clocks and somite formation

Kevin Burrage; Pamela Burrage; André Leier; Tatiana T. Marquez-Lago

doi:10.1117/12.776148

5 January 2008 Stochastic delay models for molecular clocks and somite formation

Kevin Burrage, Pamela Burrage, André Leier, Tatiana T. Marquez-Lago

Proceedings Volume 6802, Complex Systems II; 68020Z (2008) https://doi.org/10.1117/12.776148
Event: SPIE Microelectronics, MEMS, and Nanotechnology, 2007, Canberra, ACT, 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 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.

Citation Download Citation

Kevin Burrage, Pamela Burrage, André Leier, and Tatiana T. Marquez-Lago "Stochastic delay models for molecular clocks and somite formation", Proc. SPIE 6802, Complex Systems II, 68020Z (5 January 2008); https://doi.org/10.1117/12.776148

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