Optimal control for a bone metastasis with radiotherapy model using a linear objective functional
From MaRDI portal
Publication:6043835
DOI10.1051/mmnp/2022038zbMath1519.92092OpenAlexW4290091306MaRDI QIDQ6043835
Silvia Jerez, Unnamed Author, Ariel Camacho
Publication date: 25 May 2023
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/2022038
Medical applications (general) (92C50) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Pathology, pathophysiology (92C32)
Related Items (2)
Optimal vaccination strategies for a heterogeneous population using multiple objectives: the case of \(L_1\)- and \(L_2\)-formulations ⋮ Near-optimal stochastic control for radiotherapy treatment in a random cancer model
Cites Work
- Unnamed Item
- Unnamed Item
- Optimal scheduling of radiotherapy and angiogenic inhibitors
- Optimal response to chemotherapy for a mathematical model of tumor-immune dynamics
- Convergence of the forward-backward sweep method in optimal control
- Role of optimal control theory in cancer chemotherapy
- Optimal controls for a model with pharmacokinetics maximizing bone marrow in cancer chemo\-therapy
- Predicting patient-specific radiotherapy protocols based on mathematical model choice for proliferation saturation index
- Fractionated follow-up chemotherapy delays the onset of resistance in bone metastatic prostate cancer
- Bone metastasis modeling based on the interactions between the BMU and tumor cells
- Optimal combined radio- and anti-angiogenic cancer therapy
- Bone metastasis treatment modeling via optimal control
- Optimal control for a mathematical model of glioma treatment with oncolytic therapy and TNF-\(\alpha \) inhibitors
- Singular trajectories and their role in control theory
- Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy
- Nonlinear modeling and control strategies for bone diseases based on TGF\(\beta\) and Wnt factors
- Mathematical modelling of radiotherapy strategies for early breast cancer
- Antigen receptor therapy in bone metastasis via optimal control for different human life stages
- Ultimate dynamics and optimal control of a multi-compartment model of tumor resistance to chemotherapy
- A mathematical model for brain tumor response to radiation therapy
- Optimal control for mathematical models of cancer therapies. An application of geometric methods
- Optimal weekly scheduling in fractionated radiotherapy: effect of an upper bound on the dose fraction size
- Chemotherapy for tumors: An analysis of the dynamics and a study of quadratic and linear optimal controls
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- On a multiobjective optimal control of a tumor growth model with immune response and drug therapies
This page was built for publication: Optimal control for a bone metastasis with radiotherapy model using a linear objective functional