Parameter Estimation in an SPDE Model for Cell Repolarization

DOI10.1137/20M1373347MaRDI QIDQ5862902

Till Bretschneider, Randolf Altmeyer, Josef Janák, Markus Reiss

Publication date: 10 March 2022

Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.06340

zbMATH Keywords

pattern formationstochastic partial differential equationdrift estimationstochastic reaction-diffusion equationlocal measurementsaugmented MLEMeinhardt model

Mathematics Subject Classification ID

Markov processes: estimation; hidden Markov models (62M05) Reaction-diffusion equations (35K57) Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Cell biology (92C37)

Related Items (7)

Pathwise least-squares estimator for linear SPDEs with additive fractional noise ⋮ On quadratic variations for the fractional-white wave equation ⋮ Parameter estimation for semilinear SPDEs from local measurements ⋮ Nonparametric calibration for stochastic reaction-diffusion equations based on discrete observations ⋮ Efficient parameter estimation for parabolic SPDEs based on a log-linear model for realized volatilities ⋮ Parameter estimation for linear parabolic SPDEs in two space dimensions based on high frequency data ⋮ Data assimilation -- mathematical foundation and applications. Abstracts from the workshop held February 20--26, 2022

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