Swan G W
IMA J Math Appl Med Biol. 1985;2(3):139-60. doi: 10.1093/imammb/2.3.139.
There is an increasing interest in the use of therapeutic devices which deliver chemotherapeutic agents in a continuous manner. In this paper the Gompertz model of cancer growth with a loss term depending on a cancer chemotherapeutic agent is applied to human multiple myeloma. Three different performance criteria are introduced which measure the influence of the anti-cancer drug in driving the tumor population level to a desired target level. Engineering optimal control theory is used to produce expressions for the continuous-time optimal control. A comparison is made between the natures of the controller for the three problems considered. Parameter values used in the models are based on patient data. Results of the present study may be useful in the construction of algorithms for use with drug delivery devices that incorporate a microprocessor. Use of such devices may be useful in improving the treatment schedules and treatment outcome of cancer patients.
人们对使用能够持续递送化疗药物的治疗设备的兴趣日益浓厚。在本文中，具有依赖于癌症化疗药物的损失项的癌症生长的Gompertz模型被应用于人类多发性骨髓瘤。引入了三种不同的性能标准，用于衡量抗癌药物在将肿瘤群体水平驱动到期望目标水平方面的影响。运用工程最优控制理论来推导连续时间最优控制的表达式。对所考虑的三个问题的控制器特性进行了比较。模型中使用的参数值基于患者数据。本研究结果可能有助于构建与包含微处理器的药物递送设备一起使用的算法。使用此类设备可能有助于改善癌症患者的治疗方案和治疗结果。
