Identification of Chemotaxis Models with Volume-Filling

DOI10.1137/140967222zbMath1328.35305arXiv1404.7780OpenAlexW2084758982MaRDI QIDQ5264982

Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom

Publication date: 21 July 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7780

zbMATH Keywords

uniquenessparameter identificationchemotaxisTikhonov regularization

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17)

Related Items (8)

Dynamics identification in evolution models using radial basis functions ⋮ Global existence and decay for a chemotaxis-growth system with generalized volume-filling effect and sublinear secretion ⋮ On uniqueness and stable estimation of multiple parameters in the Cahn–Hilliard equation ⋮ Optimal control of Hughes' model for pedestrian flow via local attraction ⋮ On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms ⋮ Preconditioners and Tensor Product Solvers for Optimal Control Problems from Chemotaxis ⋮ On Learned Operator Correction in Inverse Problems ⋮ Data-driven gradient flows

Cites Work

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• Galerkin finite element methods for parabolic problems
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Volume effects in the Keller--Segel model: energy estimates preventing blow-up
• A user's guide to PDE models for chemotaxis
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• A saddle point variational formulation for projection-regularized parameter identification
• From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
• Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions
• Random walk with persistence and external bias
• A Chemotaxis Model with Threshold Density and Degenerate Diffusion
• Fully parabolic Keller–Segel model for chemotaxis with prevention of overcrowding
• Identification of a chemotactic sensitivity in a coupled system
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• Optimal control of a chemotaxis system
• Volume Filling Effect in Modelling Chemotaxis
• The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion
• Finite Elemente
• Global existence for a parabolic chemotaxis model with prevention of overcrowding

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