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Km and Vmax: Derivation from 2 Substrates and 2 Vobs

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Can you help me derive the equations necessary to calculate Km and Vmax with a given observed velocity at two substrate concentrations. What is Vmax and Km if you know Substrate1 and Substrate2 and the matching Vobs1 and Vobs2?

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Solution Summary

This solution outlines how to solve for Vmax an Km with variable substrate concentrations and Vobs.

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Can you help me derive the equations necessary to calculate Km and Vmax with a given observed velocity at two substrate concentrations; aka, what is Vmax and Km if you know Substrate1 and Substrate2 and the matching Vobs1 and Vobs2?

This is essentially a two equation, two unknown type problem. Based on the Michealis-Menten equation...

Vobs1 = Vmax[s1] Eq 1
Km + [s1]

Vobs2 = Vmax[s2] Eq 2
Km + [s2]

Eq 1...isolate ...

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