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    Deriving the equation for S* for competitive product inhibition

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    Problem Statement:
    Derive the equation for S* for competitive product inhibiton.

    Definition of variables:
    S* = the surface substrate concentration at steady state. (For plug flow reactor);

    Sb = bulk substrate conc;
    Ks = mass transfer coeff;
    Ki = competitive inhibition rate constant;
    Km = substrate conc that give 1/2 max enzyme reaction rate;
    Vmax = max specific growth rate;
    V= specific growth rate;

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    https://brainmass.com/engineering/materials-engineering/deriving-equation-competitive-product-inhibition-3843

    Solution Preview

    Ns=Ks(Sb-S*)=(V'maxS*)/(Km+S*+P(Km/Ki)) ...

    Solution Summary

    The derivation of the equation for S* for competitive product inhibition is outlined. The competitive inhibition rate constants are given.

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