1. Simulating A Gene Regulatory Network (GRN) A Delay Flip-Flop Implementation

2. Outline  Simulation  Hill Equation  Michaelis-Menten  BioD  Results 2

3. Outline  Simulation  Hill Equation  Michaelis-Menten  BioD  Results 3

4. Simulation  Why do we simulate ? 4

5. Simulation  Cost effective  Fast  Proven method  An “analytic” model is appropriate when mathematics can be used to find the exact (deterministic) or probable (stochastic) values of the measures of performance.  We cannot test 5

6. Outline  Simulation  Hill Equation  Michaelis-Menten  BioD  Results 6

7. Outline  Simulation  Hill Equation  Michaelis-Menten  BioD  Results 7

8. Hill Equation 8

9. 9

10. 10

11. Hill Equation 11

12. Hill Equation 12

13. Outline  Simulation  Hill Equation  Michaelis-Menten  BioD  Results 13

14. Outline  Simulation  Hill Equation  Michaelis-Menten  BioD  Results 14

15. Michaelis-Menten http://en.wikipedia.org/wiki/Enzyme_kinetics 15

16. Outline  Simulation  Hill Equation  Michaelis-Menten  BioD  Results 16

17. Outline  Simulation  Hill Equation  Michaelis-Menten  BioD  Results 17

18. BioD 18

19. BioD 19

20. BioD 20

21. BioD 21

22. BioD 22

23. BioD 23

24. BioD 24

25. BioD 25

26. BioD 26

27. BioD 27

28. BioD 28

29. BioD 29

30. BioD 30

31. BioD 31

32. Law of Mass Action 32

33. BioD 33

34. BioD 34

35. BioD 35

36. BioD 36

37. BioD 37

38. BioD 38

39. BioD 39

40. Outline  Simulation  Hill Equation  Michaelis-Menten  BioD  Results 40

41. Outline  Simulation  Hill Equation  Michaelis-Menten  BioD  Results 41

42. Results 42

43. BioD 43

44. Results 44

45. Results 45

46. Results 46

47. Results 47

48. Results 48

49. BioD 49

50. Results 50

51. Results 51

52. Results 52

53. Results 53

54. Questions… 54