Biochemistry and Physiology

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Biochemistry and Physiology
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Monomolecular (first order) chemical reaction

• k
• A ? P
• A reactant, P product,
• R(t) reactant concentration
• C(t) product concentration
• k reaction rate

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Equations
- Exponential decay
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Monomolecular reaction
Product C(t)A(1-exp(-kt))
Concentrations
Reactant R(t)A exp(-kt)
0
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2
3
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5
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8
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10
time
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Second order reaction

• k
• AB ? CD
• A,B reactants (substrates), C,D products,
• a(t), b(t) reactants concentrations
• c(t), d(t) product concentrations
• k reaction rate

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Equations law of mass action
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Phase portrait
Equilibria depend on initial conditions
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Second order bi-directional reaction

• k
• AB CD
• k-
• A,B reactants (substrates), C,D products,
• a(t), b(t) reactants concentrations
• c(t), d(t) product concentrations
• k k- reaction rates

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Equations
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Phase portraits
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Equilibria
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Enzyme catalyzed reactions

• k k2
  
• E S ES E P
• k-
• e(t), s(t) - enzyme and substrate molar
  concentrations
• x(t), p(t) compund (ES) and product molar
  concentrations

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Equations, Michaelis Menten model
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• Rate of compound concentration change
• - rate of free enzyme concentration change

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• k
• E S ES
• k-
• is much faster than
• k2
  
• ES E P

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Michaelis Menten equation
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Ligand receptor interaction model
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• k
• G R GR
• k-
• g(t) molar concentration of free ligand
• r(t) - molar concentration of free
  receptor
• x(t) molar concentration of bindings

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Law of mass action