Effect of temperature on myoglobin-facilitated transport

With the reaction equilibrium constant K = k /kb, this equation becomes 

This equation represents the temperature effect on the reaction rate through the kinetic parameters kf and K. 

Coupled systems of chemical reactions and transport processes 

The largest temperature difference occurs at the center of the tissue (z = 1), and for typical tissue fiber conditions, the maximum temperature difference is w/2 = 1.7 X 10 5oC at the tissue core. A similar increase with the effect of the chemical-binding reaction between myoglobin and oxygen is approximately 1.1 X 10-5oC. Equation (2) shows that the temperature difference increases with the square of the fiber thickness. Since the radii of skeletal muscle fibers are approximately 20 p.m. the temperature difference is not considerable. However, some experiments suggest that there is a temperature effect on the rate of facilitated transport (Dowd et al., 1991). 

The steady state, one-dimensional mass balance equations for oxygenated myoglobin complex (2) and free oxygen (1) are 

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Example 11.12 Effect of temperature on myoglobin-facilitated transport... 

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