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Unbuffered and buffered supply chains in human metabolism
Authors:Dirk Langemann  Marcel Rehberg
Institution:(1) Institute for Computational Mathematics, Technical University of Braunschweig, Pockelsstr. 14, 38106 Braunschweig, Germany;(2) Center for Systems Biology (ZBSA), University of Freiburg, Habsburger Str. 49, 79104 Freiburg, Germany
Abstract:The investigation of very complex dynamical systems like the human metabolism requires the comprehension of important subsystems. The present paper deals with energy supply chains as subsystems of the metabolism on the molecular, cellular, and individual levels. We form a mathematical model of ordinary differential equations and we show fundamental properties by Fourier techniques. The results are supported by a transition from a system of ordinary differential equations to a partial differential equation, namely, a transport equation. In particular, the behavior of supply chains with dominant pull components is discussed. A special focus lies on the role of buffer compartments.
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