Literature DB >> 19706298

On optimal delivery of combination therapy for tumors.

Alberto d'Onofrio1, Urszula Ledzewicz, Helmut Maurer, Heinz Schättler.   

Abstract

A mathematical model for the scheduling of angiogenic inhibitors in combination with a chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication under constant infusion therapies. Then the optimal scheduling of a vessel disruptive agent in combination with a cytotoxic drug is considered as an optimal control problem. Both theoretical and numerical results on the structure of optimal controls are presented.

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Year:  2009        PMID： 19706298     DOI： 10.1016/j.mbs.2009.08.004

Source DB:  PubMed          Journal:  Math Biosci        ISSN： 0025-5564            Impact factor:   2.144


  11 in total

1.  Dynamical properties of a minimally parameterized mathematical model for metronomic chemotherapy.

Authors:  Heinz Schättler; Urszula Ledzewicz; Behrooz Amini
Journal:  J Math Biol       Date:  2015-06-19       Impact factor: 2.259

2.  T model of growth and its application in systems of tumor-immune dynamics.

Authors:  Mohammad A Tabatabai; Wayne M Eby; Karan P Singh; Sejong Bae
Journal:  Math Biosci Eng       Date:  2013-06       Impact factor: 2.080

3.  Optimal response to chemotherapy for a mathematical model of tumor-immune dynamics.

Authors:  Urszula Ledzewicz; Mohammad Naghnaeian; Heinz Schättler
Journal:  J Math Biol       Date:  2011-05-08       Impact factor: 2.259

4.  Optimizing adaptive cancer therapy: dynamic programming and evolutionary game theory.

Authors:  Mark Gluzman; Jacob G Scott; Alexander Vladimirsky
Journal:  Proc Biol Sci       Date:  2020-04-22       Impact factor: 5.530

5.  Quantifying the effects of antiangiogenic and chemotherapy drug combinations on drug delivery and treatment efficacy.

Authors:  Sirin Yonucu; Defne Yιlmaz; Colin Phipps; Mehmet Burcin Unlu; Mohammad Kohandel
Journal:  PLoS Comput Biol       Date:  2017-09-18       Impact factor: 4.475

6.  Dose Titration Algorithm Tuning (DTAT) should supersede 'the' Maximum Tolerated Dose (MTD) in oncology dose-finding trials.

Authors:  David C Norris
Journal:  F1000Res       Date:  2017-02-07

7.  Novel computational method for predicting polytherapy switching strategies to overcome tumor heterogeneity and evolution.

Authors:  Vanessa D Jonsson; Collin M Blakely; Luping Lin; Saurabh Asthana; Nikolai Matni; Victor Olivas; Evangelos Pazarentzos; Matthew A Gubens; Boris C Bastian; Barry S Taylor; John C Doyle; Trever G Bivona
Journal:  Sci Rep       Date:  2017-03-13       Impact factor: 4.379

8.  An Agent-based Model for Investigating the Effect of Myeloid-Derived Suppressor Cells and its Depletion on Tumor Immune Surveillance.

Authors:  Armin Allahverdy; Alireza Khorrami Moghaddam; Sarah Rahbar; Sadjad Shafiekhani; Hamid Reza Mirzaie; Saeid Amanpour; Yasaman Etemadi; Jamshid Hadjati; Amir Homayoun Jafari
Journal:  J Med Signals Sens       Date:  2019 Jan-Mar

9.  On the Role of the Objective in the Optimization of Compartmental Models for Biomedical Therapies.

Authors:  Urszula Ledzewicz; Heinz Schättler
Journal:  J Optim Theory Appl       Date:  2020-09-30       Impact factor: 2.249

10.  Deterministic and Stochastic Study for a Microscopic Angiogenesis Model: Applications to the Lewis Lung Carcinoma.

Authors:  Marek Bodnar; Pilar Guerrero; Ruben Perez-Carrasco; Monika J Piotrowska
Journal:  PLoS One       Date:  2016-05-16       Impact factor: 3.240
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