Optimal control of mathematical models for the radiotherapy of gliomas: the scalar case
From MaRDI portal
Publication:1655408
DOI10.1007/s40314-016-0366-0zbMath1397.49064OpenAlexW2482080447MaRDI QIDQ1655408
Enrique Fernández-Cara, Laurent Prouvée
Publication date: 9 August 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-016-0366-0
Initial-boundary value problems for second-order parabolic equations (35K20) Medical applications (general) (92C50) Existence theories for optimal control problems involving partial differential equations (49J20) Variational principles of physics (49S05)
Related Items (3)
Optimal control of mathematical models for the radiotherapy of gliomas: the scalar case ⋮ Optimal control of a two-equation model of radiotherapy ⋮ Optimization of antitumor radiotherapy fractionation via mathematical modeling with account of 4 R's of radiobiology
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal radiation fractionation for low-grade gliomas: insights from a mathematical model
- Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy
- Handbook of optimization in medicine.
- Optimal control of mathematical models for the radiotherapy of gliomas: the scalar case
- Hypoxic cell waves around necrotic cores in glioblastoma: a biomathematical model and its therapeutic implications
- Nonlinear ghost waves accelerate the progression of high-grade brain tumors
- Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics
- An interior algorithm for nonlinear optimization that combines line search and trust region steps
- Delay effects in the response of low-grade gliomas to radiotherapy: a mathematical model and its therapeutical implications
- Optimal control of some simplified models of tumour growth
- The MATLAB ODE Suite
- A Method for the Spatial Discretization of Parabolic Equations in One Space Variable
- Extreme protraction for low-grade gliomas: theoretical proof of concept of a novel therapeutical strategy
- Solving Index-1 DAEs in MATLAB and Simulink
- An Interior Point Algorithm for Large-Scale Nonlinear Programming
- A trust region method based on interior point techniques for nonlinear programming.
This page was built for publication: Optimal control of mathematical models for the radiotherapy of gliomas: the scalar case
