Steady-state substrate flow in a facilitated transport

Coupled systems of chemical reactions and transport processes 

Since the concentrations inside the membrane are generally not known, we can express the equilibrium oxygen concentration at steady state using the diffusion-reaction relations of Eqs. (9.192)—(9.194) assuming that Dc = Dbc, we have 

By integrating we find dcjdx + dcbc/dx = 0, since the carrier and the bound carrier molecules do not leave the membrane. Further integration with the boundary condition yields 

As expected, the total concentration of the carrier molecules is equal to the summation of the free carrier and the bound carrier molecules. 

Myoglobin does not leave the membrane, and the myoglobin flow is zero dcjdx = 0 therefore, J represents the flow of oxygen at steady state. The second integration of Eq. (9.202) yields 

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Example 9.12 Steady-state substrate flow in a facilitated transport Consider a schematic of facilitated transport shown in Figure 9.8. The steady-state facilitated transport may be described by... 

Example 11,11 Steady-state substrate flow in a facilitated transport... 

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