A Fokker-Planck feedback control framework for optimal personalized therapies in colon cancer-induced angiogenesis
DOI10.1007/s00285-022-01725-3zbMath1496.35399arXiv2109.00166OpenAlexW3211218606WikidataQ113905396 ScholiaQ113905396MaRDI QIDQ2113523
Publication date: 14 March 2022
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.00166
Weibull distributionchemotherapynon-linear conjugate gradientanti-angiogenic drugsFokker-Planck optimization
Statistical sampling theory and related topics (62D99) Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Feedback control (93B52) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Inverse problems for PDEs (35R30) Biochemistry, molecular biology (92C40) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Cell biology (92C37) Existence theories for optimal control problems involving partial differential equations (49J20) Physiological flow (92C35) Computational methods for problems pertaining to biology (92-08) Fokker-Planck equations (35Q84) PDE constrained optimization (numerical aspects) (49M41)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic modelling and control of antibiotic subtilin production
- A Fokker-Planck control framework for multidimensional stochastic processes
- Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angio\-genic and chemotherapeutic drug strategies
- Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations
- Stochastic modelling of tumour-induced angiogenesis
- A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory
- Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions
- A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy
- A Fokker-Planck approach to control collective motion
- A methodology for performing global uncertainty and sensitivity analysis in systems biology
- Sparse reconstruction of log-conductivity in current density impedance tomography
- A practical difference scheme for Fokker-Planck equations
- A Feedback Control Model of Comprehensive Therapy for Treating Immunogenic Tumours
- A New Optimization Approach to Sparse Reconstruction of Log-Conductivity in Acousto-Electric Tomography
- A Fokker--Planck Approach to the Reconstruction of a Cell Membrane Potential
- A new non-linear conjugate gradient algorithm for destructive cure rate model and a simulation study: illustration with negative binomial competing risks
- A Fokker–Planck Feedback Control-Constrained Approach for Modelling Crowd Motion
- A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
- Sparsity-based nonlinear reconstruction of optical parameters in two-photon photoacoustic computed tomography
This page was built for publication: A Fokker-Planck feedback control framework for optimal personalized therapies in colon cancer-induced angiogenesis
