A Fokker--Planck Approach to the Reconstruction of a Cell Membrane Potential

DOI10.1137/20M131504XzbMath1467.49029OpenAlexW3163704162MaRDI QIDQ4997369

Mario Annunziato, Alfio Borzì

Publication date: 29 June 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m131504x

zbMATH Keywords

inverse problemuncertainty quantificationcell membranestochastic motionnonparametric reconstructionmean-field Fokker-Planck

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Optimal stochastic control (93E20) Stochastic systems in control theory (general) (93E03) Cell biology (92C37) Inverse problems in optimal control (49N45)

Related Items

Controlling a generalized Fokker-Planck equation via inputs with nonlocal action ⋮ A Fokker-Planck feedback control framework for optimal personalized therapies in colon cancer-induced angiogenesis

Uses Software

• nlpdegm
• Actin Segmentation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlocal-interaction equations on uniformly prox-regular sets
• A Fokker-Planck control framework for multidimensional stochastic processes
• Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion
• Nonlinear model predictive control. Theory and algorithms.
• More is the same; phase transitions and mean field theories
• Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations
• Large time behavior of nonlocal aggregation models with nonlinear diffusion
• Mean field games
• Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain
• Theory and applications of stochastic processes. An analytical approach
• Optimal control of the Fokker-Planck equation with space-dependent controls
• A Fokker-Planck control framework for stochastic systems
• The Fokker-Planck equation. Methods of solutions and applications.
• Schauder estimates for a class of potential mean field games of controls
• On an optimal control problem of time-fractional advection-diffusion equation
• Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
• A practical difference scheme for Fokker-Planck equations
• Regularity Theory for Mean-Field Game Systems
• Computational Optimization of Systems Governed by Partial Differential Equations
• Computational techniques for a quantum control problem with H ¹ -cost
• Primal-Dual Extragradient Methods for Nonlinear Nonsmooth PDE-Constrained Optimization
• Mean Field Games and Mean Field Type Control Theory
• Finite element error estimates on the boundary with application to optimal control
• A stochastic particle method for the McKean-Vlasov and the Burgers equation

This page was built for publication: A Fokker--Planck Approach to the Reconstruction of a Cell Membrane Potential