Imperial College London

ProfessorPierreDegond

Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1474p.degond Website CV

 
 
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Location

 

6M38Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@unpublished{Degond,
author = {Degond, P and Jin, S and Zhu, Y},
title = {An Uncertainty Quantification Approach to the Study of Gene Expression Robustness},
url = {http://arxiv.org/abs/1910.07188v1},
}

RIS format (EndNote, RefMan)

TY  - UNPB
AB - We study a chemical kinetic system with uncertainty modeling a generegulatory network in biology. Specifically, we consider a system of twoequations for the messenger RNA and micro RNA content of a cell. Our target isto provide a simple framework for noise buffering in gene expression throughmicro RNA production. Here the uncertainty, modeled by random variables, entersthe system through the initial data and the source term. We obtain a sharpdecay rate of the solution to the steady state, which reveals that the biologysystem is not sensitive to the initial perturbation around the steady state.The sharp regularity estimate leads to the stability of the generalizedPolynomial Chaos stochastic Galerkin (gPC-SG) method. Based on the smoothnessof the solution in the random space and the stability of the numerical method,we conclude the gPC-SG method has spectral accuracy. Numerical experiments areconducted to verify the theoretical findings.
AU - Degond,P
AU - Jin,S
AU - Zhu,Y
TI - An Uncertainty Quantification Approach to the Study of Gene Expression Robustness
UR - http://arxiv.org/abs/1910.07188v1
ER -