This note studies the number of positive steady states in biomolecular reactions consisting of activation/deactivation futile cycles, such as those arising from phosphorylations and dephosphorylations at each level of a MAPK cascade. It is shown that (1) for some parameter ranges, there are at least n + 1 (if n is even) or n (if n is odd) steady states; (2) There never are more than 2n steady s...

this paper investigates the importance of considering biomass growth and decay for predicting a field scale microbial degradation of btex plume in an unconfined aquifer system in the pump station area of tehran oil refinery (tor), iran. a two-dimensional finite volume model has been presented to predict multi-species reactive transport incorporating physical, chemical and biological processes i...

It is the aim of this paper to investigate a suitable approach to compute solutions of the powerful Michaelis-Menten enzyme reaction equation with less computational effort. We obtain analytical-numerical solutions using piecewise finite series by means of the differential transformation method, DTM. In addition, we compute a global analytical solution by a modal series expansion. The Michaelis...

Sensitivity analysis is routinely performed on simplified surrogate models as the cost of such original model may be prohibitive. Little known in general about induced bias sensitivity results. Within framework chemical kinetics, we provide a full justification above approach case variance based methods provided results from one through thermodynamic limit. In particular, analyze convergence So...