BPPK

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Author:
Kautrey
ID:
130803
Filename:
BPPK
Updated:
2012-01-26 13:13:17
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Equations
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Description:
BPPK Equations for Exam 1
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  1. Slope (m)
    (y2-y1)/(x2-x1)
  2. Rate of drug decline/elimination constant (k)
    2.3 * slope
  3. Exponents
    N = b^x
  4. a ^ x * a ^ y
    a ^ (x+y)
  5. (a ^ x) ^ y
    a ^ (x*y)
  6. (a ^ x) / (a ^ y)
    a ^ (x-y)
  7. 1 / (a ^ x)
    a ^ (-x)
  8. y sqrt a
    a ^ (1/y)
  9. y sqrt (a ^ x)
    a ^ (x/y)
  10. Logarithms
    logb N = x
  11. 2.303 log N
    lnN
  12. log ab
    log a + log b
  13. log (a/b)
    log a - log b
  14. log (a ^ x)
    x log a
  15. -log (a/b)
    log (b/a)
  16. log10 (10^x)
    x
  17. ln (e ^ x)
    x
  18. b ^ x
    e ^ (x ln b)
  19. log b X
    (ln x) / (ln b)
  20. slope of straight line on semilog paper
    2.3 (( log y2 - log x2)/(x2 - x1))
  21. derivative (y = f (t))
    f' (t); y'; dy / dt
  22. Constant function rule (y = f (t) = C)
    f' (t) = y' = dy / dt = 0
  23. Power rule (y = f (t) = t ^ n)
    n*t ^ (n-1)
  24. Constant mulitple property (y = f(t) = ku(t))
    dy / dt = f ' (t) = ku' (t) = k (du / dt)
  25. Sum and Difference properties (y = f (t) = u (t) +/- w (t))
    dy / dt = f ' (t) = u ' (t) +/- w ' (t) = (du / dt) +/- (dw/dt)
  26. (d / dt) * e ^ t
    e ^ t
  27. (d / dt) ln t
    1/t
  28. (d / dt) b ^ t
    b ^ t * ln b
  29. (d / dt) log b * t
    (1 / ln b) * (1/t)
  30. Noyes Whitney Equation
    dx / dt = (DA / t) (C1 - C2)
  31. integral x ^ n dx
    (x ^ (n+1) / (n+1)) + C
  32. integral e ^ x dx
    e ^ x + C
  33. integral 1/x dx
    ln | x | + C
  34. integral kf (x) dx
    k integral f (x) dx
  35. integral [ f (x) +/- g (x)] dx
    integral f (x) dx +/- integral g (x) dx
  36. Look over slide 21 of the Fundamental Mathematics in Pharmacokinetics lecture!!!
    didn't know how to put that on here :/
  37. Trapezoidal Rule ( [AUC] )
    ((Cn-1 + Cn) / 2) * (tn - tn-1)

    (may also want to look at slide 22 for this one)
  38. [AUC] when t is infinite
    Cpn / K

    (slide 23)
  39. BSA for drugs with a narrow therapeutic index
    ((BW / 70kg) ^ 0.73) * 1.73 m^2

    (slide 28)
  40. Young's formula for child's dose calculations
    Adult dose * (Child's age / (Child's age + 12))
  41. Dilling's formula for child's dose calculations
    Adult dose * Child's dose / 20
  42. Child's dose based on BSA
    Adult dose * (BSA / 1.73)
  43. Zero - order reaction rate of disappearnace
    -k0
  44. Zero - order reaction integration where A0 is the amount of drug at t = 0
    -k0 * t + A0
  45. Zero - order reaction drug concentration
    -k0 * t + C0
  46. First - order reaction rate of disappearance
    -kA

    (A = drug A)
  47. First - order reaction integration (ln A)
    -k * t + lon A0
  48. First - order reation C0 (log C)
    ((-k * t) / 2.3) + log C0
  49. Half - life (t 1/2) of First - order
    0.692 / k
  50. Half - life of Zero - order
    (0.5 A0) / k0
  51. Drug in the body (Db)
    Vc * Cp
  52. Clearance (Cl)
    ((dDb / dt) / Cp) OR -k * Vd
  53. Drug concentration at any point in time for First- order drugs (C)
    C0 * e ^ (-k * t)
  54. Calculation for IV bolus (AUC)
    C0 / k
  55. Clearance using AUC
    Dose / AUC
  56. Volume of distribution using AUC
    Dose / C0
  57. First - order kinetics drug elimination
    [drug]plasma * drug clearance
  58. First - order kinetics half - life
    0.693 / ke
  59. elimination rate constant (ke)
    0.693 / (t 1/2)
  60. Clearance using Vd and ke
    Vd * Ke

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