Kalman filter parameter estimation for a nonlinear diffusion model of epithelial cell migration using stochastic collocation and the Karhunen–Loeve expansion

•Four Kalman filter methods are presented for parameter estimation in cell migration.•Stochastic collocation Kalman filter is more efficient that Monte Carlo Kalman filter.•Karhunen Loeve expansion for correlated noise reduces the computational cost.•All algorithms estimate the parameters accurately...

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Bibliographic Details
Published in:	Mathematical biosciences Vol. 276; no. C; pp. 133 - 144
Main Authors:	Barber, Jared, Tanase, Roxana, Yotov, Ivan
Format:	Journal Article
Language:	English
Published:	United States Elsevier Inc 01.06.2016 Elsevier
Subjects:	Animals Cell Movement Computer Simulation Epithelial cell migration Epithelial Cells Humans Kalman filter Karhunen–Loeve expansion Nonlinear Dynamics Parameter estimation Stochastic collocation Stochastic Processes Karhunen–Loeve expansion Epithelial cell migration Parameter estimation Stochastic collocation Kalman filter
ISSN:	0025-5564, 1879-3134, 1879-3134
Online Access:	Get full text
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