Optimal control in therapeutics and epidemiology

Camille Pouchol, Nastassia Pouradier Duteil
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Abstract

Context

Optimal control has become a tool of choice for in silico optimization of drug infusion protocols, as is the case in cancer therapy. The relatively less developed area of optimal control for epidemiology has received considerable attention recently due to the Covid-19 pandemic.

Though apparently different, these two contexts usually involve models-whether finite-dimensional or infinite dimensional-which come from population dynamics, while considering cost functionals of the same type. Furthermore, they often encounter the same specific difficulties, such as considerable model uncertainty and require ad-hoc techniques to make optimal control strategies implementable (frequency of drug infusions, discrete controls).

Consequently, optimal control techniques used and developed in the Special Issue share strong similarities in how they tackle control problems arising in therapeutics and epidemiology.

治疗学和流行病学中的优化控制
背景最优控制已成为优化药物输注方案的首选工具,癌症治疗也是如此。虽然表面上看似不同,但这两种情况通常涉及的模型--无论是有限维还是无限维--都来自于人口动力学,同时考虑到相同类型的成本函数。此外,它们还经常遇到相同的具体困难,如模型具有相当大的不确定性,需要临时技术来实现最优控制策略(药物输注频率、离散控制)。因此,本特刊中使用和开发的最优控制技术在如何解决治疗学和流行病学中出现的控制问题方面具有很强的相似性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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