TITLE:
A Mathematical Model for Nutrient Metabolic Chemistry
AUTHORS:
Donald A. Drew
KEYWORDS:
Nutrient Metabolic Chemistry
JOURNAL NAME:
Applied Mathematics,
Vol.9 No.6,
June
25,
2018
ABSTRACT:
A model based on chemical kinetics for the rate of utilization and/or storage
of carbohydrates, fats and proteins is derived and analyzed. This system is
studied under different conditions of supply and usage and for short term
dynamics and long term dynamics. Both the short term and long term models
indicate that starting above an equilibrium threshold leads to growth of the
stored species. Results from the short-term and long-term submodels show
that the qualitative behavior depends on the levels of certain enzymes. The
analysis of a model for enzyme dynamics indicates that the steady-state level
of an enzyme should depend on the rate of supply of the substrate.