By D. Ramkrishna (auth.)
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Transgenic animal applied sciences and the power to introduce useful genes into animals have revolutionized our skill to handle advanced biomedical and organic questions, in addition to to make functional functions to creation agriculture. This well-illustrated guide covers the technical elements of gene move in animals--from molecular easy methods to complete animal considerations--for the real laboratory and household animal species.
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Extra resources for Advances in Biochemical Engineering, Volume 11
Chem. Eng. Prog. Symp. Series, No. 69. 62, 37 (1966) Bertalanffy, L. yon: Human Biol. 10, 280 (1938) Bertalanffy, L. yon: Theoretische Biologie. : Math. Biosci. 10, 1 (1971) Hulburt, H. , Katz, S. : Chem. Eng. Sci. : Chem. Eng. Sci. : The Method of Weighted Residuals. , Fredrickson, A. , Tsuchiya, H. : Bull. Math. Biophys. 3~ 521 (1970) Statistical Models of Cell Populations 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55.
The explicit time-dependence in this function would be clear from the following expression for F(a, t) based on the total probability theorem. f~(a, t) f2(a, t) P(a, t) = Pl(a) fl--~-fft)+ P2(a) 2 fl(a, t) (130) In Eq. (130) the coefficient of Fl(a) is the probability that a cell of age a is a singlet, while the coefficient of F2(a) is the probability that the said cell is one of a doublet. In general, these probabilities are clearly time-dependent. Eq. (129) may now be written as a fl(a, t) + 0 fl(a, t) = -P(a, t) fl(a, t) 0-i- (131) which is the same as Von Foerster's equation (Eq.
19. 20. 21. 22. 23. 24. 25. Athreya, K. , Ney, P. : Branching Processes. New York: Springer 1972 Tsuchiya, H. , Fredrickson, A. : Advan. Chem. Eng. 6, 125 (1966) Fredrickson, A. , Tsuchiya, H. : Math. Biosci. 1, 327 (1967) Bharucha-Reid, A. : Elements of the Theory of Markov Processes and their Applications. : Vectors, Tensors and the Basic Equations of Fluid Mechanics. New Jersey: PrenticeHall 1962, pp. 85 Hulburt, H. , Katz, S. : Chem. Eng. Sci. : The Kinetics of Cellular Proliferation (F. ).
Advances in Biochemical Engineering, Volume 11 by D. Ramkrishna (auth.)