Numerical optimisation of chemotherapy dosage under antiangiogenic treatment in the presence of drug resistance

2020 ◽  
Vol 43 (18) ◽  
pp. 10671-10689
Author(s):  
Piotr Bajger ◽  
Mariusz Bodzioch ◽  
Urszula Foryś
Keyword(s):  
Drug Resistance ◽  
Antiangiogenic Treatment ◽  
Numerical Optimisation

scholarly journals Optimal control problems for differential equations applied to tumor growth: state of the art

2018 ◽  
Vol 3 (2) ◽  
pp. 375-402 ◽  
Author(s):  
Clara Rojas ◽  
Juan Belmonte-Beitia
Keyword(s):  
Optimal Control ◽  
Drug Resistance ◽  
Optimal Control Problems ◽  
State Of The Art ◽  
Experimental Studies ◽  
Control Problems ◽  
Antiangiogenic Treatment ◽  
Growth State ◽  
Dynamics Of Populations ◽  
Tools And Methods

AbstractIn this manuscript, we shall apply the tools and methods from optimal control to analyze various minimally parameterized models that describe the dynamics of populations of cancer cells and elements of the tumor microenvironment under different anticancer therapies. In spite of their simplicity, the analysis of these models that capture the essence of the underlying biology sheds light on more general scenarios and, in many cases, leads to conclusions that confirm experimental studies and clinical data. We focus on four applications: optimal control applied to compartmental models, brain tumors, drug resistance and antiangiogenic treatment.

Drug Resistance in Cancer

1998 ◽  
Author(s):  
James H. Goldie ◽  
Andrew J. Coldman
Keyword(s):  
Drug Resistance
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