Mathematical Models of Open and Closed Biochemical Reactions in Living Cells
Abstract
Cells transduce the external information by complex intracellular
networks in which various layers and cascades can be identified.
Mathematical models have been performed for some of these
substructures, for example the MAPK cascade. For many respects this
modelling is inadequate and needs new formal schemes. Here we apply
a recently proposed scheme, in which each layer can be thought as a
separate reaction, in which the upstream reactions can be
represented by an input function (on the concentrations of
the substrate or of the enzyme catalyzing the reaction) explicitly
introduced in the differential equations describing the reaction. On
this scheme the total Quasi-Steady State Approximation (tQSSA) will
be applied.
[DOI: 10.1685/CSC06019] About DOI
networks in which various layers and cascades can be identified.
Mathematical models have been performed for some of these
substructures, for example the MAPK cascade. For many respects this
modelling is inadequate and needs new formal schemes. Here we apply
a recently proposed scheme, in which each layer can be thought as a
separate reaction, in which the upstream reactions can be
represented by an input function (on the concentrations of
the substrate or of the enzyme catalyzing the reaction) explicitly
introduced in the differential equations describing the reaction. On
this scheme the total Quasi-Steady State Approximation (tQSSA) will
be applied.
[DOI: 10.1685/CSC06019] About DOI
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PDFDOI: https://doi.org/10.1685/
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