title: A mathematical model of the human metabolic system and metabolic flexibility.
abstract: In healthy subjects some tissues in the human body display metabolic flexibility, by this we mean the ability for the tissue to switch its fuel source between predominantly carbohydrates in the postprandial state and predominantly fats in the fasted state. Many of the pathways involved with human metabolism are controlled by insulin and insulin-resistant states such as obesity and type-2 diabetes are characterised by a loss or impairment of metabolic flexibility. In this paper we derive a system of 12 first-order coupled differential equations that describe the transport between and storage in different tissues of the human body. We find steady state solutions to these equations and use these results to nondimensionalise the model. We then solve the model numerically to simulate a healthy balanced meal and a high fat meal and we discuss and compare these results. Our numerical results show good agreement with experimental data where we have data available to us and the results show behaviour that agrees with intuition where we currently have no data with which to compare.
authors.affiliation: Centre for Mathematical Medicine and Biology, School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK.
authors.forename: T
authors.initials: T
authors.lastname: Pearson
authors.forename: J A D
authors.initials: JA
authors.lastname: Wattis
authors.forename: J R
authors.initials: JR
authors.lastname: King
authors.forename: I A
authors.initials: IA
authors.lastname: MacDonald
authors.forename: D J
authors.initials: DJ
authors.lastname: Mazzatti
mesh_terms: D050260:Carbohydrate Metabolism / Q000502:physiology*; D003198:Computer Simulation; D003924:Diabetes Mellitus, Type 2 / Q000378:metabolism; D006801:Humans; D007328:Insulin / Q000378:metabolism*; D050356:Lipid Metabolism / Q000502:physiology*; D053858:Metabolic Networks and Pathways / Q000502:physiology*; D008954:Models, Biological; D009765:Obesity / Q000378:metabolism
chemical_list: D007328:Insulin