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Robustness analysis of spatiotemporal models in the presence of extrinsic fluctuations
Authors
A Hellander
J Klosa
P Lötstedt
S Macnamara
Publication date
1 January 2017
Publisher
'Society for Industrial & Applied Mathematics (SIAM)'
Doi
Cite
Abstract
© 2017 Society for Industrial and Applied Mathematics. We analyze the governing partial differential equations of a model of pole-to-pole oscillations of the MinD protein in a bacterial cell. The sensitivity to extrinsic noise in the parameters of the model is explored. Our analysis shows that overall, the oscillations are robust to extrinsic perturbations in the sense that small perturbations in reaction coefficients result in small differences in the frequency and in the amplitude. However, a combination of analysis and simulation also reveals that the oscillations are more sensitive to some extrinsic time scales than to others
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Last time updated on 18/10/2019