Robustness analysis of spatiotemporal models in the presence of extrinsic fluctuations

Hellander, A; Klosa, J; Lötstedt, P; Macnamara, S

Robustness analysis of spatiotemporal models in the presence of extrinsic fluctuations

Hellander, A Klosa, J Lötstedt, P Macnamara, S

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Publication Type:: Journal Article
Citation:: SIAM Journal on Applied Mathematics, 2017, 77 (4), pp. 1157 - 1183
Issue Date:: 2017-01-01

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Field	Value	Language
dc.contributor.author	Hellander, A	en_US
dc.contributor.author	Klosa, J	en_US
dc.contributor.author	Lötstedt, P	en_US
dc.contributor.author	Macnamara, S	en_US
dc.date.issued	2017-01-01	en_US
dc.identifier.citation	SIAM Journal on Applied Mathematics, 2017, 77 (4), pp. 1157 - 1183	en_US
dc.identifier.issn	0036-1399	en_US
dc.identifier.uri	http://hdl.handle.net/10453/125211
dc.description.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.	en_US
dc.relation.ispartof	SIAM Journal on Applied Mathematics	en_US
dc.relation.isbasedon	10.1137/15M1052317	en_US
dc.subject.classification	Applied Mathematics	en_US
dc.title	Robustness analysis of spatiotemporal models in the presence of extrinsic fluctuations	en_US
dc.type	Journal Article
utslib.citation.volume	4	en_US
utslib.citation.volume	77	en_US
utslib.for	0102 Applied Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	open_access
pubs.issue	4	en_US
pubs.publication-status	Published	en_US
pubs.volume	77	en_US

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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http://hdl.handle.net/10453/125211