1. Biochemistry and Physiology

2. Monomolecular (first order) chemical reaction k A  P A – reactant, P – product, R(t) – reactant concentration C(t) – product concentration k – reaction rate

3. - Exponential decay Equations

4. 012345678910 0 5 15 20 25 30 35 40 45 50 Concentrations time Product C(t)=A(1-exp(-kt)) Reactant R(t)=A exp(-kt) Monomolecular reaction

5. 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

6. Equations – law of mass action

7. Phase portrait Equilibria depend on initial conditions

9. 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

10. Equations

11. Phase portraits

12. Equilibria

13. Enzyme catalyzed reactions k + k 2 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

14. Equations, Michaelis – Menten model

15. Rate of compound concentration change = - rate of free enzyme concentration change

17. k + E + S ES k - is much faster than k 2 ES E + P

19. Michaelis – Menten equation

20. Ligand – receptor interaction model

21. 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

22. Law of mass action