Sir can you please explain michaelis montenegro equation

Asked by anuraghalder32242 | 2nd Aug, 2019, 11:31: AM

Expert Answer:

The Michaelis Menten equation arises from the general equation for an enzymatic reaction.
E plus S left right double arrow E S rightwards arrow E plus P 
The rate of the  forward reaction from E+S to ES may be termed as kand the reverse reaction as k-1 . For the reaction of ES to E+P , It is kcat 
Assuming steady state,
straight v subscript 0 space space end subscript space is space initial space velocity space of space reaction

straight v subscript straight o space equals straight k subscript cat space left square bracket ES right square bracket
Rate space of space formation space of space left square bracket ES right square bracket equals straight k subscript 1 left square bracket straight E right square bracket left square bracket straight S right square bracket
Rate space of space consumption space of space left square bracket ES right square bracket equals straight k subscript negative 1 end subscript left square bracket ES right square bracket space plus space straight k subscript cat space left square bracket ES right square bracket
In space steady space state comma
straight k subscript negative 1 end subscript left square bracket ES right square bracket plus straight k subscript cat space left square bracket ES right square bracket equals straight k subscript 1 left square bracket straight E right square bracket left square bracket straight S right square bracket
left parenthesis straight k subscript negative 1 end subscript plus straight k subscript cat right parenthesis left square bracket ES right square bracket equals straight k subscript 1 left square bracket straight E right square bracket left square bracket straight S right square bracket space space space space space space space space space space space space space space space space space space space space.......... left parenthesis 1 right parenthesis

left parenthesis straight k subscript negative 1 end subscript plus straight k subscript cat right parenthesis space left square bracket ES right square bracket equals straight k subscript 1 left square bracket straight E right square bracket left square bracket straight S right square bracket
left parenthesis straight k subscript negative 1 end subscript plus straight k subscript cat right parenthesis divided by straight k subscript 1 equals fraction numerator left square bracket straight E right square bracket left square bracket straight S right square bracket over denominator left square bracket ES right square bracket end fraction

straight k subscript straight m equals left parenthesis straight k subscript negative 1 end subscript plus straight k subscript cat right parenthesis divided by straight k subscript 1

left square bracket straight E right square bracket equals left square bracket straight E subscript Total right square bracket minus left square bracket ES right square bracket
straight k subscript straight m equals fraction numerator left parenthesis left square bracket straight E right square bracket subscript Total minus left square bracket ES right square bracket right parenthesis space left square bracket straight S right square bracket over denominator left square bracket ES right square bracket end fraction
left square bracket straight E right square bracket equals left square bracket straight E right square bracket subscript Total minus left square bracket ES right square bracket
straight k subscript straight m equals fraction numerator left parenthesis left square bracket straight E right square bracket subscript Total minus left square bracket ES right square bracket left square bracket straight S right square bracket right parenthesis over denominator left square bracket ES right square bracket end fraction
left square bracket ES right square bracket left parenthesis straight k subscript straight m plus left square bracket straight S right square bracket right parenthesis equals left square bracket straight E right square bracket subscript Total space end subscript left square bracket straight S right square bracket
left square bracket ES right square bracket equals fraction numerator left square bracket straight E right square bracket subscript Total space end subscript left square bracket straight S right square bracket over denominator left parenthesis straight k subscript straight m space end subscript plus left square bracket straight S right square bracket right parenthesis end fraction
straight v subscript straight o equals fraction numerator straight k subscript cat space end subscript space left square bracket straight E right square bracket subscript Total space left square bracket straight S right square bracket over denominator left parenthesis straight k subscript straight m space end subscript plus left square bracket straight S right square bracket right parenthesis end fraction
straight v subscript max equals end subscript straight k subscript cat space left square bracket straight E right square bracket subscript Total
straight v subscript straight o equals fraction numerator straight v subscript max space end subscript left square bracket straight S right square bracket over denominator straight k subscript straight m space end subscript plus space left square bracket straight S right square bracket end fraction

Answered by Ravi | 8th Aug, 2019, 02:41: PM