BIOC2201 Lecture 19: Theme 4 Notes

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25 May 2018
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LECTURE'19:'FUNDAMENTAL'ENZYME'KINETICS:'
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The$Michaelis+Menten$Equation:$
$
5!S'='substrate'
5!E'='enzyme'
5!S'binds'non5covalently'to'E'!'Enzyme5Substrate'Complex'
o!k1'='forward'reaction'
o!k51'='reverse'reaction'
5!Kcat'='catalysed'reaction'of'ES'!'E'+'P''
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5!Reaction'rate'(velocity)'(v)'''
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5!Problem:'Determine'of'[ES]'is'difficult/impossible'
5!Solution:'Experimental'observation'that'[ES]'is'
fairly'constant'over'much'of'the'reaction'i.e.'the'
reaction'is'in'STEADY'STATE'
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o!In'steady'state:'
"!Rate'of'change'of'[ES]'x'dt'='0'
(steady/flat'curve)'
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5!Since'there'is'no'loss'of'enzyme'in'the'reaction:'
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5!Express'[E]'total'in'terms'of'k'and'[ES]'
o!Sub'Eqn'(2)'!'Eqn'(3)''
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5!Express'in'terms'of'velocity'
o!Sub'Eqn'(1)'!'new'Eqn'
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5!Problem:'[S]'is'constantly'changing''
5!Therefore,'this'relationship'only'holds'near'the'beginning'of'the'reaction'where:'
o!'[S]'~'[S]initial''
o!v'='initial'velocity'
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5!Equation'4'!'Michaelis5Menten'Equation:'
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Kinetic$Parameters:$
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5!The'relationship'between'velocity'and'[S]'
(from'Michaelis5Menten'Eqn)'
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5!Vmax'='velocity'of'the'reaction'at'
saturating'[S]'
5!Km'='[S]'required'to'give'a'velocity'of'
Vmax/2'
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5!Michaelis5Menten'Eqn'rearranged'!'reciprocal'
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5!This'gives'the'Lineweaver+Burk$Plot:'
o!Much'easier'to'extract'
information'(e.g.'Km'and'
Vmax'values)'from'linear'
grpah'
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1.!Vmax'and'Kcat:'
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5!At'saturating'[S]:'
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5!Measures'true'catalytic'turnover'of'enzyme'
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o!Higher'the'Kcat'value'!'easier/quicker'turnover'of'reaction'
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2.!Km:'
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5!Most'enzymes'operate'in'cellular'environment'in'substrate'concentration''
o!Therefore,'Km'(of'enzyme'for'a'substrate)'often'~'[S]'
"!To'high'='not'operating'efficiently'
"!Too'low'='enzyme'not'responding'to'changes'in'[S]'
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5!Km'has'substrate'binding'to'E'(k1,'k51)'AND'catalysis'(Kcat)'
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o!However,'if'Kcat'much'smaller'than'k51'
"!Then' '
"!In'this'case,'Km'is'the'true'measure'of'enzyme5substrate'binding'
affinity'
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