We analyze a mathematical model for drug delivery monitoring subject to flow-through bioreactor. We use a convection–diffusion–reaction model combined with PID control. Enzyme-containing bioreactor converts a prodrug into an active drug. This approach connects two aspects of drug delivery, mechanical pumps and prodrugs. Drug delivery monitoring is performed by adjusting the prodrug inflow pressure. We model several dynamic treatment regimes. A combined algorithm of treatment regimes can be used for personalized treatment. A control-aided system allows us to reduce the impact of pumping fluctuations, diffusion slowdown, and drug production rate reduction.

中文翻译：

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压力控制生物反应器的给药数学模型

我们分析了受流通式生物反应器影响的药物输送监测数学模型。我们使用对流-扩散-反应模型与 PID 控制相结合。含酶生物反应器将前药转化为活性药物。这种方法将药物输送的两个方面、机械泵和前药联系起来。通过调节前药流入压力来进行给药监测。我们模拟了几种动态治疗方案。治疗方案的组合算法可用于个性化治疗。控制辅助系统使我们能够减少泵送波动、扩散减慢和药物生产率降低的影响。