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Biochemistry and Physiology. Monomolecular (first order) chemical reaction. k A P A – reactant, P – product, R(t) – reactant concentration C(t) – product concentration k – reaction rate. Equations. - Exponential decay. 50. 45. 40. 35.
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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
Equations - Exponential decay
50 45 40 35 30 25 20 15 10 5 0 Monomolecular reaction Product C(t)=A(1-exp(-kt)) Concentrations Reactant R(t)=A exp(-kt) 0 1 2 3 4 5 6 7 8 9 10 time
Second order reaction k A+B C+D A,B – reactants (substrates), C,D – products, a(t), b(t) – reactants concentrations c(t), d(t) – product concentrations k – reaction rate
Phase portrait Equilibria depend on initial conditions
Second order bi-directional reaction k+ A+B C+D k- A,B – reactants (substrates), C,D – products, a(t), b(t) – reactants concentrations c(t), d(t) – product concentrations k+ k- – reaction rates
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 productmolar concentrations
Rate of compound concentration change = - rate of free enzyme concentration change
k+ E + S ES k- is much faster than k2 ES E + P
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