Scheduling therapies is a central paradigm in personalized medicine. Modeling and control theoretical approaches are opening an avenue for linking interactions between drugs and diseases in the host. In this paper, considering an inverse optimal approach, we formulate a framework based on a bounded input impulsive control to schedule therapies. Results for stability with a bounded input are introduced. We show the application of the algorithms with illustrative examples as well as the biomedical application of the long-term impact of therapies for a functional HIV cure. Results highlight that the proposed framework has the potential for tailoring therapies in different diseases such as diabetes, cancer, and infectious diseases.

安排疗法是个性化医学的中心范例。建模和控制理论方法为将宿主中药物与疾病之间的相互作用联系起来开辟了一条途径。在本文中，考虑到逆向最优方法，我们制定了一个基于有界输入冲动控制来安排治疗方案的框架。介绍了有界输入的稳定性结果。我们用示例性例子展示了算法的应用，以及对功能性HIV治愈疗法的长期影响的生物医学应用。结果表明，提出的框架具有针对不同疾病（例如糖尿病，癌症和传染性疾病）调整疗法的潜力。