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Optimizing Treatment Combination for Lymphoma Using an Optimization Heuristic
Journal article   Peer reviewed

Optimizing Treatment Combination for Lymphoma Using an Optimization Heuristic

Nicolas Houy and François Le Grand
Mathematical Biosciences
01/09/2019

Abstract

High-grade non-Hodgkin lymphoma; PK/PD model; Protocol combination; Monte-Carlo tree search
Background. The standard treatment for high-grade non-Hodgkin lymphoma involves the combination of chemotherapy and immunotherapy. We characterize in-silico the optimal combination protocol that maximizes the overall survival probability. We rely on a pharmacokinetics/pharmacodynamics (PK/PD) model that describes the joint evolution of tumor and effector cells, as well as the effects of both chemotherapy and immunotherapy. The toxicity is taken into account through ad-hoc constraints. We develop an optimization algorithm that belongs to the class of Monte-Carlo tree search algorithms. Our simulations rely on an in-silico population of heterogeneous patients differing with respect to their PK/PD parameters. The optimization objective consists in characterizing the combination protocol that maximizes the overall survival probability of the patient population under consideration. Results. We compare using in-silico experiments our results to standard protocols and observe a gain in overall survival probabilities that vary from 4 to 9 percentage points. The gains increase with the complexity of the potential protocol. Gains are larger in presence of a higher number of injections or of an actual combination with immunotherapy. Conclusions. In in-silico experiments, optimal protocols achieve significant gains over standard protocols when considering overall survival probabilities. Our optimization algorithm enables us to efficiently tackle this numerical problem with a large dimensionality. The in-vivo implications of our in-silico results remain to be explored.
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MB_LeGrand_201909
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https://doi.org/10.1016/j.mbs.2019.108227View
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Collaboration types
Domestic collaboration
International collaboration
Citation topics
1 Clinical & Life Sciences
1.130 Lymphomas
1.130.132 Lymphoma Research
Web of Science research areas
Biology
Mathematical & Computational Biology
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