1. Sensitivity Analysis of a Mathematical Model Simulating the Post-Hepatectomy Hemodynamics Response
- Author
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Lorenzo Sala, Nicolas Golse, Alexandre Joosten, Eric Vibert, Irene Vignon-Clementel, Mathématiques et Informatique Appliquées du Génome à l'Environnement [Jouy-En-Josas] (MaIAGE), Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), SImulations en Médecine, BIOtechnologie et ToXicologie de systèmes multicellulaires (SIMBIOTX ), Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Centre Hépato-Biliaire [Hôpital Paul Brousse] (CHB), Hôpital Paul Brousse-Assistance Publique - Hôpitaux de Paris, European Project, European Project: 864313,MoDeLLiver (2020), Physiopathogénèse et Traitement des Maladies du Foie, Hôpital Paul Brousse-Université Paris-Saclay, and We acknowledge the funding source from the European Research Council (ERC) under the European Union’s Horizon 2020 Research and Innovation Program (Grant Agreement No. 864313)
- Subjects
Lumped parameter mathematical model ,[SDV.MHEP.CSC]Life Sciences [q-bio]/Human health and pathology/Cardiology and cardiovascular system ,[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] ,[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] ,Biomedical Engineering ,Hepatectomy ,[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] ,[SDV.MHEP.CHI]Life Sciences [q-bio]/Human health and pathology/Surgery ,[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph] ,Sensitivity analysis ,Sobol indices ,Polynomial chaos expansion method ,Virtual patients - Abstract
Recently a lumped-parameter model of the cardiovascular system was proposed to simulate the hemodynamics response to partial hepatectomy and evaluate the risk of portal hypertension (PHT) due to this surgery. Model parameters are tuned based on each patient data. This work focuses on a global sensitivity analysis (SA) study of such model to better understand the main drivers of the clinical outputs of interest. The analysis suggests which parameters should be considered patient-specific and which can be assumed constant without losing in accuracy in the predictions. While performing the SA, model outputs need to be constrained to physiological ranges. An innovative approach exploits the features of the polynomial chaos expansion method to reduce the overall computational cost. The computed results give new insights on how to improve the calibration of some model parameters. Moreover the final parameter distributions enable the creation of a virtual population available for future works. Although this work is focused on partial hepatectomy, the pipeline can be applied to other cardiovascular hemodynamics models to gain insights for patient-specific parameterization and to define a physiologically relevant virtual population.
- Published
- 2023