SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Stochastic modelling and simulation of ion channel dynamics

K. Burrage, H. Byrne, K. Daoduc, D. Holcman and A. Jones

Abstract
mRNA can be regulated and degraded by small non-coding RNA molecules: siRNAs and microRNAs. We study the process of RNA interference in mammals by examining the survival condition for mRNAs to escape from the nucleus before being degraded. We develop a model of mRNA interacting with siRNAs. As the number of binding sites is small, many events are stochastic in nature, we compute the probability that mRNA escapes degradation using a stochastic approach. We obtain explicit expressions when the siRNA can bind irreversibly to the mRNA. We also investigate the case of post-transcriptional regulation of the tumour suppressor gene, PTEN. PTEN mRNA are localized to the cytoplasm, and PTEN mRNA can be degraded by microRNAs or protected from degradation by complementary small regulatory RNAs that block the binding sites on the mRNA. We compute the probability of PTEN mRNA translocating to the endoplasmic reticulum before being degraded by microRNAs.

Organized by         Universidad de Valladolid     IMUVA