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A Multiscale and Multiphase Model of Function‐Perfusion Growth Processes in the Human Liver
Author(s) -
Lambers Lena,
Suditsch Marlon,
Wagner Arndt,
Ricken Tim
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000290
Subject(s) - fatty liver , perfusion , function (biology) , ordinary differential equation , medicine , scale (ratio) , pathology , disease , biology , differential equation , mathematics , microbiology and biotechnology , physics , mathematical analysis , quantum mechanics
Due to an ageing society and unhealthy living conditions, liver diseases like non‐alcoholic fatty liver disease (NAFLD) or liver cancer will account for an increasing proportion of deaths in the coming years. Using a mathematical model, the underlying function‐perfusion processes of both diseases are investigated. We developed a multiscale and multiphase model for the simulation of hepatic processes on the lobular and cell scale. The lobular scale is described with partial differential equations (PDEs) based on the Theory of Porous Media (TPM), whereas on the cellular scale the metabolic processes are calculated using ordinary differential equations (ODEs). Since NAFLD and the development of a liver tumor lead to tissue growth as well as changes in the blood perfusion, growth and remodelling processes in the human liver are evaluated.