Mathematical modeling and optimal control problems in brain tumor targeted drug delivery strategies
DOI10.1142/S1793524517500565zbMath1373.92059MaRDI QIDQ5347505
Publication date: 24 May 2017
Published in: International Journal of Biomathematics (Search for Journal in Brave)
optimal controlpopulation dynamicsmagnetic resonance imaginglogistic growthchemotherapyconvection-enhanced deliveryadjoint systemdiffusion tensordrug deliverypointwise controllerscoupled nonlinear reaction-diffusion equationsadjoint multiple-relaxation-time lattice Boltzmann methodanisotropic brain tumor growthmultiscale Chapman-Enskog expansionoptimization of therapiesreal-time monitoring of distribution
Applications of optimal control and differential games (49N90) Medical applications (general) (92C50) Existence theories for optimal control problems involving partial differential equations (49J20)
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Cites Work
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- A multiphase model describing vascular tumour growth
- A history of the study of solid tumour growth: the contribution of mathematical modelling
- A multiple-relaxation-time lattice Boltzmann model for general nonlinear anisotropic convection-diffusion equations
- An improved bounce-back scheme for complex boundary conditions in lattice Boltzmann method
- Adjoint-based fluid flow control and optimisation with lattice Boltzmann methods
- Adjoint lattice Boltzmann for topology optimization on multi-GPU architecture
- A modified multiple-relaxation-time lattice Boltzmann model for convection-diffusion equation
- Topology optimization in thermal-fluid flow using the lattice Boltzmann method
- Bilinear minimax control problems for a class of parabolic systems with applications to control of nuclear reactors
- Lattice Boltzmann method for parallel simulations of cardiac electrophysiology using GPUs
- Stabilization, optimal and robust control. Theory and applications in biological and physical sciences
- A theoretical study of the response of vascular tumours to different types of chemotherapy
- Parameter identification problems and analysis of the impact of porous media in biofluid heat transfer in biological tissues during thermal therapy
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Analysis of a mathematical model for the growth of tumors
- A two-phase model of solid tumour growth
- Individual-based approaches to birth and death in avascular tumors
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Prediction of convection-enhanced drug delivery to the human brain
- Some optimal control problems in cancer chemotherapy with a toxicity limit
- Optimal bang-bang controls for a two-compartment model in cancer chemotherapy
- The role of cell-cell interactions in a two-phase model for avascular tumour growth
- Effect of treatment on the global dynamics of delayed pathological angiogenesis models
- Dynamical behavior of nonlinear impulsive abstract partial differential equations on networks with multiple time-varying delays and mixed boundary conditions involving time-varying delays
- Coupled lattice Boltzmann method for generalized Keller-Segel chemotaxis model
- Patient-specific mathematical neuro-oncology: using a simple proliferation and invasion tumor model to inform clinical practice
- Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation
- Coupled Lattice Boltzmann Modeling of Bidomain Type Models in Cardiac Electrophysiology
- Glioblastoma brain tumours: estimating the time from brain tumour initiation and resolution of a patient survival anomaly after similar treatment protocols
- Periodic optimal control for parabolic Volterra‐Lotka type equations
- Optimal Control Applied to Competing Chemotherapeutic Cell-Kill Strategies
- Interactions between a uniformly proliferating tumour and its surroundings: uniform material properties
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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