Robustness analysis of spatiotemporal models in the presence of\n extrinsic fluctuations

2016/10/05 by Andreas Hellander, Hellander, Andreas, Jan Klosa +5
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #FOS: Biological sciences #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Numerical Analysis (math.NA) #Probability (math.PR) #Protein Structure and Dynamics #Spectroscopy and Quantum Chemical Studies #Subcellular Processes (q-bio.SC)

paper · pdf · doi:10.48550/arxiv.1610.01323

openalex publication_date 2016/10/05 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We analyze the governing partial differential equations of a model of\npole-to-pole oscillations of the MinD protein in a bacterial cell. The\nsensitivity to extrinsic noise in the parameters of the model is explored. Our\nanalysis shows that overall, the oscillations are robust to extrinsic\nperturbations in the sense that small perturbations in reaction coefficients\nresult in small differences in the frequency and in the amplitude. However, a\ncombination of analysis and simulation also reveals that the oscillations are\nmore sensitive to some extrinsic time-scales than to others.\n

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