Optimal scheduling of radiotherapy and angiogenic inhibitors
From MaRDI portal
Publication:253387
DOI10.1016/S0092-8240(03)00006-5zbMath1334.92196OpenAlexW2163741151WikidataQ73399851 ScholiaQ73399851MaRDI QIDQ253387
Kevin Camphausen, Ayla Ergun, Lawrence M. Wein
Publication date: 8 March 2016
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0092-8240(03)00006-5
Applications of optimal control and differential games (49N90) Medical applications (general) (92C50)
Related Items (35)
Dynamical properties of a minimally parameterized mathematical model for metronomic chemotherapy ⋮ Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999) ⋮ Mathematical model of cancer growth controled by metronomic chemotherapies ⋮ Optimal control of a mathematical model for cancer chemotherapy under tumor heterogeneity ⋮ An optimal control approach for the treatment of solid tumors with angiogenesis inhibitors ⋮ Local controllability and optimal control for a model of combined anticancer therapy with control delays ⋮ Optimal Control of Cancer Treatments: Mathematical Models for the Tumor Microenvironment ⋮ A bi-parametric model for the tumour angiogenesis and antiangiogenesis therapy ⋮ Analysis of anticancer efficiency of combined fractionated radiotherapy and antiangiogenic therapy via mathematical modelling ⋮ Unnamed Item ⋮ Optimal control for a bone metastasis with radiotherapy model using a linear objective functional ⋮ Multi-input optimal control problems for combined tumor anti-angiogenic and radiotherapy treatments ⋮ Optimal control for selected cancer chemotherapy ODE models: a view on the potential of optimal schedules and choice of objective function ⋮ Stability analysis of the family of tumour angiogenesis models with distributed time delays ⋮ On an extension of a mathematical model for tumor anti-angiogenesis ⋮ Optimal control problems for differential equations applied to tumor growth: state of the art ⋮ What mathematical models can or cannot do in glioma description and understanding ⋮ Optimizing the delivery of combination therapy for tumors: A mathematical model ⋮ Closed-loop control of tumor growth by means of anti-angiogenic administration ⋮ Chemotherapy of vascularised tumours: role of vessel density and the effect of vascular ``pruning ⋮ Optimal combined radio- and anti-angiogenic cancer therapy ⋮ Optimal response to chemotherapy for a mathematical model of tumor-immune dynamics ⋮ Modelling pulsed immunotherapy of tumour-immune interaction ⋮ Angiogenesis inhibition and tumor-immune interactions with chemotherapy by a control set-valued method ⋮ Analysis of the Hopf bifurcation for the family of angiogenesis models ⋮ Maximum tolerated dose versus metronomic scheduling in the treatment of metastatic cancers ⋮ Combined therapy for treating solid tumors with chemotherapy and angiogenic inhibitors ⋮ Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis ⋮ On probabilistic certification of combined cancer therapies using strongly uncertain models ⋮ Optimisation of Cancer Drug Treatments Using Cell Population Dynamics ⋮ Tumor Development Under Combination Treatments with Anti-angiogenic Therapies ⋮ Qualitative analysis of tumor growth model under antiangiogenic therapy - choosing the effective operating point and design parameters for controller design ⋮ On optimal delivery of combination therapy for tumors ⋮ Numerical solution for a problem arising in angiogenic signalling ⋮ Optimization of antitumor radiotherapy fractionation via mathematical modeling with account of 4 R's of radiobiology
This page was built for publication: Optimal scheduling of radiotherapy and angiogenic inhibitors
