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Optimal design of personalized prostate cancer therapy using Infinitesimal Perturbation Analysis
Institution:1. Université de Bretagne Occidentale, Lab-STICC UMR CNRS 6285, France;2. Université de Bretagne Sud, Lab-STICC UMR CNRS 6285, France;3. University of Boumerdes, Department of Mathematics, Algeria;4. UCD, University College Dublin, Ireland;1. International Research Center for the Mathematics and Mechanics of Complex Systems (MEMOCS), Universitá dell’Aquila, Italy;2. Department of Civil Engineering and Architecture (DICAR), Universitá degli Studi di Catania, Catania, Italy;3. Université de Lyon, Ecole Nationale des Travaux Publics del’Etat, LGCB-LTDS, 69518 Vaulx-en-Velin, France;1. Technische Universität München, Institute of Applied Mechanics, Boltzmannstraße 15, 85748 Garching, Germany;2. RWTH Aachen, Institute of Applied Mechanics, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany;3. Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, United Kingdom;4. INRIA Rhône-Alpes, Centre de recherche Grenoble, 655 avenue de l’Europe, Inovallée de Montbonnot, 38334 St Ismier Cedex, France;1. Hasselt University, Campus Diepenbeek, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium;2. University of Edinburgh and Maxwell Institute for Mathematical Sciences, James Clerk Maxwell Building, Peter Guthrie Tait Road, EH9 3FD Edinburgh, United Kingdom
Abstract:The standard treatment for advanced prostate cancer is hormone therapy in the form of continuous androgen suppression (CAS), which unfortunately frequently leads to resistance and relapse. An alternative scheme is intermittent androgen suppression (IAS), in which patients are submitted to cycles of treatment (in the form of androgen deprivation) and off-treatment periods in an alternating manner. In spite of extensive recent clinical experience with IAS, the design of ideal protocols for any given patient remains a challenge. The level of prostate specific antigen (PSA) is frequently monitored to determine when patients will be taken off therapy and when therapy will resume. In this work, we propose a threshold-based policy for optimal IAS therapy design that is parameterized by lower and upper PSA threshold values and is associated with a cost metric that combines clinically relevant measures of therapy success. We use a Stochastic Hybrid Automaton (SHA) model of prostate cancer evolution under IAS and perform Infinitesimal Perturbation Analysis (IPA) to adaptively adjust PSA threshold values so as to improve therapy outcomes. We also apply this methodology to clinical data from real patients, and obtain promising results and valuable insights for personalized IAS therapy design.
Keywords:Stochastic hybrid system (SHS)  Perturbation analysis  Personalized cancer therapy
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