2015/02/22 by Mazen Alamir, Alamir, Mazen
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Medicine · #Advanced Control Systems Optimization #Artificial intelligence #Certification #Computer science #Computer security #Economics #FOS: Electrical engineering #Gene Regulatory Network Analysis #Key (lock) #Mathematical Biology Tumor Growth #Mathematical optimization #Mathematics #Medicine #Probabilistic logic #Risk analysis (engineering) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · doi:10.48550/arxiv.1502.06218
openalex publication_date 2015/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper proposes a general framework for probabilistic certification of cancer therapies. The certification is defined in terms of two key issues which are the tumor contraction and the lower admissible bound on the circulating lymphocytes which is viewed as indicator of the patient health. The certification is viewed as the ability to guarantee with a predefined high probability the success of the therapy over a finite horizon despite of the unavoidable high uncertainties affecting the dynamic model that is used to compute the optimal scheduling of drugs injection. The certification paradigm can be viewed as a tool for tuning the treatment parameters and protocols as well as for getting a rational use of limited or expensive drugs. The proposed framework is illustrated using the specific problem of combined immunotherapy/chemotherapy of cancer.