On optimal delivery of combination therapy for tumors
type: Item
instance of: scholarly article
title: On optimal delivery of combination therapy for tumors
zbMATH Open document ID: 1176.92033
author: A. d'Onofrio
author: Helmut Maurer
author: Heinz Schättler
author: Urszula Ledzewicz
published in: Mathematical Biosciences
publication date: 2009-12-07T00:00:00Z
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 49N90
Mathematics Subject Classification ID: 49J15
zbMATH DE Number: 5643253
zbMATH Keywords: combination therapy for tumors
zbMATH Keywords: anti-angiogenesis
zbMATH Keywords: chemotherapy
zbMATH Keywords: mathematical model
zbMATH Keywords: optimal control
Wikidata QID: Q51798408
MaRDI profile type: Publication
full work available at URL: j.mbs.2009.08.004
OpenAlex ID: W2091513278
cites work: Continuous and discrete mathematical models of tumor-induced angiogenesis
cites work: Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy
cites work: Vascular network remodeling via vessel cooption, regression and growth in tumors
cites work: Stochastic modelling of tumour-induced angiogenesis
cites work: Optimal scheduling of radiotherapy and angiogenic inhibitors
cites work: Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999)
cites work: Critical-point analysis for three-variable cancer angiogenesis models
cites work: Modelling the role of angiogenesis and vasculogenesis in solid tumour growth
cites work: The response to antiangiogenic anticancer drugs that inhibit endothelial cell proliferation
cites work: AntiAngiogenic Therapy in Cancer Treatment as an Optimal Control Problem
cites work: Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis
cites work: On the optimality of singular controls for a class of mathematical models for tumor anti-angiogenesis
cites work: Scheduling of angiogenic inhibitors for Gompertzian and logistic tumor growth models
cites work: Q3050174
cites work: Role of optimal control theory in cancer chemotherapy
cites work: Optimal Control Applied to Cell-Cycle-Specific Cancer Chemotherapy
cites work: Optimal bang-bang controls for a two-compartment model in cancer chemotherapy
cites work: ANALYSIS OF A CELL-CYCLE SPECIFIC MODEL FOR CANCER CHEMOTHERAPY
cites work: Q4459136
cites work: Tutorials in mathematical biosciences III. Cell cycle, prolifereation, and cancer.
cites work: Optimal controls for a model with pharmacokinetics maximizing bone marrow in cancer chemo\-therapy
cites work: Optimal control of the chemotherapy of HIV
cites work: Optimal control in a model of dendritic cell transfection cancer immunotherapy
cites work: A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An Optimal Control Approach
cites work: Q4040068
cites work: Simple ODE models of tumor growth and anti-angiogenic or radiation treatment
cites work: A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences
cites work: A bi-parametric model for the tumour angiogenesis and antiangiogenesis therapy
cites work: A family of models of angiogenesis and anti-angiogenesis anti-cancer therapy
cites work: Q5309942
cites work: Singular trajectories and their role in control theory
cites work: Q4397715
cites work: Q2762538
cites work: SQP-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control
cites work: Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment
DOI: 10.1016/J.MBS.2009.08.004
description: scientific article; zbMATH DE number 5643253