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This problem is based on problem 4.10 of WTHS. Some enzymes, such as HIV protease, exhibit pH-dependence on their catalytic activity. As a simple example,

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This problem is based on problem 4.10 of WTHS. Some enzymes, such as HIV protease, exhibit pH-dependence on their catalytic activity. As a simple example, imagine an enzyme that can bind substrate in its protonated state, but not in its unprotonated state. That is, it has the following reaction scheme. E+H+kakakaEH,EH+Sk1k1SEHk2EH+P. a) Derive an expression for the reaction velocity, v0=dtdcP. This should be an analytical expression, and you will need to make approximations to derive it. Be sure to clearly state which approximations you use. It should be written in terms of cE0,cS, and cH+. Does the resulting expression match a Michaelis-Menten form? If so, what are the effective kcat and KM

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