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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