On the role of the objective in the optimization of compartmental models for biomedical therapies
DOI10.1007/s10957-020-01754-2zbMath1462.49078OpenAlexW3090351343WikidataQ100433907 ScholiaQ100433907MaRDI QIDQ2025280
Heinz Schättler, Urszula Łedzewicz-Kowalewska
Publication date: 11 May 2021
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-020-01754-2
optimal controlmathematical modelingpharmacometricscancer therapies\(L_1\)- and \(L_2\)-type objectives
Medical applications (general) (92C50) Optimality conditions for problems involving ordinary differential equations (49K15) Variational principles of physics (49S05)
Related Items (5)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On optimal chemotherapy with a strongly targeted agent for a model of tumor-immune system interactions with generalized logistic growth
- Optimal controls for a mathematical model of tumor-immune interactions under targeted chemotherapy with immune boost
- Multi-input optimal control problems for combined tumor anti-angiogenic and radiotherapy treatments
- Sufficient conditions for strong local optimality in optimal control problems with \(L_{2}\)-type objectives and control constraints
- Optimal response to chemotherapy for a mathematical model of tumor-immune dynamics
- Local fields of extremals for optimal control problems with state constraints of relative degree 1
- Role of optimal control theory in cancer chemotherapy
- A model for cancer chemotherapy with state-space constraints
- On optimal delivery of combination therapy for tumors
- Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
- SQP-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control
- Optimal combined radio- and anti-angiogenic cancer therapy
- Optimization of combination therapy for chronic myeloid leukemia with dosing constraints
- Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis
- Singular trajectories and their role in control theory
- Optimal bang-bang controls for a two-compartment model in cancer chemotherapy
- Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999)
- Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy
- On the role of pharmacometrics in mathematical models for cancer treatments
- Optimal control problems for the Gompertz model under the Norton-Simon hypothesis in chemotherapy
- Optimal control for mathematical models of cancer therapies. An application of geometric methods
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An Optimal Control Approach
- Algorithm 902
- AntiAngiogenic Therapy in Cancer Treatment as an Optimal Control Problem
- Zero-propellant maneuver guidance
- The Chebyshev–Legendre collocation method for a class of optimal control problems
- ANALYSIS OF A CELL-CYCLE SPECIFIC MODEL FOR CANCER CHEMOTHERAPY
- Dynamic response of cancer under the influence of immunological activity and therapy
This page was built for publication: On the role of the objective in the optimization of compartmental models for biomedical therapies