Determination of Multiple Steady States in an Active Membrane Transport Model
نویسنده
چکیده
A necessary and sufficient condition is applied to determine the possibility of multiple positive steady states in a complex, active membrane transport model with a cycle, which is performed by pump proteins coupled to a source of metabolic energy. A set of rate constants and two corresponding steady states are computed. Hysteresis phenomena are observed. A signature of multiplicity is derived, which can be applied in mechanism identifications if steady-state concentrations for some species are measured. The bifurcation of multiple steady states is also displayed.
منابع مشابه
The Determination of Multiple Steady States in Two Families of Biological Systems
The capacity of computational multiple steady states in two biological systems are determined by the Deficiency One Algorithm and the Subnetwork Analysis. One is a bacterial glycolysis model involving the generation of ATP, and the other one is an active membrane transport model, which is performed by pump proteins coupled to a source of metabolic energy. Mass action kinetics, is assumed and bo...
متن کاملMultiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method
The recognition and the calculation of all branches of solutions of the nonlinear boundary value problems is difficult obviously. The complexity of this issue goes back to the being nonlinearity of the problem. Regarding this matter, this paper considers steady state reactive transport model which does not have exact closed-form solution and discovers existence of dual or triple solutions in so...
متن کاملDetermination of thermodynamic parameters of hydrogen permeation of palladium membrane for considering the effect of stainless steel support
A palladium composite membrane was prepared by electroless plating on oxidized porous stainless steel support (ox-PSS). Hydrogen permeation flux through this composite membrane was measured in the temperature range of 574-674K and the pressure difference of two sides of membrane up to 90kPa. A simplified resistance model was employed to analyze the permeation behavior of hydrogen through Pd/ox-...
متن کاملThe simulation of novel annular shape on the Performance in Proton Exchange Membrane Fuel Cell
In this article, one-phase and three dimensional computational fluid dynamics analysis was utilized to investigate the effect of annular field pattern of proton exchange membrane fuel cells (PEMFC) with different geometry on the performances and species distribution. This computational fluid dynamics code is used for solving the equation in single domain namely the flow field, the mass conserva...
متن کاملModeling and simulation of a new architecure stack applied on the PEM Fuel Cell
To simulate a new economical architecture for PEM fuel cell and investigate the effectiveness of the introduced structure on the performance, computational fluid dynamics (CFD) code is used to solve the equations for a single domain of the cell namely: the flow field, the mass conservation, the energy conservation, the species transport, and the electric/ionic fields under the assumptions of st...
متن کامل