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Optimal Impulsive Control for Cancer TherapyConclusions and Research Topics

Optimal Impulsive Control for Cancer Therapy: Conclusions and Research Topics [In this final chapter, the main points previously addressed are summarized, namely the optimization of impulsive therapy by its reduction to a finite-dimensional optimization problem, the use of a receding horizon strategy to combine impulsive optimal control with feedback, and minimum attention control to adjust the frequency of the therapy actions according to tumor size. In addition, as a result of the line followed in this book, a number of open research points are suggested and briefly discussed. These points include using more elaborate cancer models; multitherapy design; the implications on impulsive optimal control of using models with a nonlinear dependence on the control variable; adaptive control to tackle patient dynamics with high uncertainty level; state estimation; the impact of nonideal impulsive properties of receding horizon impulsive control; further elaboration of minimum attention control; how to implement continuous control from the drug effect variable using impulsive therapy control; application of similar methods to other diseases.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Optimal Impulsive Control for Cancer TherapyConclusions and Research Topics

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Publisher
Springer International Publishing
Copyright
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
ISBN
978-3-030-50487-8
Pages
95 –99
DOI
10.1007/978-3-030-50488-5_7
Publisher site
See Chapter on Publisher Site

Abstract

[In this final chapter, the main points previously addressed are summarized, namely the optimization of impulsive therapy by its reduction to a finite-dimensional optimization problem, the use of a receding horizon strategy to combine impulsive optimal control with feedback, and minimum attention control to adjust the frequency of the therapy actions according to tumor size. In addition, as a result of the line followed in this book, a number of open research points are suggested and briefly discussed. These points include using more elaborate cancer models; multitherapy design; the implications on impulsive optimal control of using models with a nonlinear dependence on the control variable; adaptive control to tackle patient dynamics with high uncertainty level; state estimation; the impact of nonideal impulsive properties of receding horizon impulsive control; further elaboration of minimum attention control; how to implement continuous control from the drug effect variable using impulsive therapy control; application of similar methods to other diseases.]

Published: Jun 20, 2020

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