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Slope (m)
(y2-y1)/(x2-x1)
Rate of drug decline/elimination constant (k)
2.3 * slope
Exponents
N = b^x
a ^ x * a ^ y
a ^ (x+y)
(a ^ x) ^ y
a ^ (x*y)
(a ^ x) / (a ^ y)
a ^ (x-y)
1 / (a ^ x)
a ^ (-x)
y sqrt a
a ^ (1/y)
y sqrt (a ^ x)
a ^ (x/y)
Logarithms
logb N = x
2.303 log N
lnN
log ab
log a + log b
log (a/b)
log a - log b
log (a ^ x)
x log a
-log (a/b)
log (b/a)
log10 (10^x)
x
ln (e ^ x)
x
b ^ x
e ^ (x ln b)
log b X
(ln x) / (ln b)
slope of straight line on semilog paper
2.3 (( log y2 - log x2)/(x2 - x1))
derivative (y = f (t))
f' (t); y'; dy / dt
Constant function rule (y = f (t) = C)
f' (t) = y' = dy / dt = 0
Power rule (y = f (t) = t ^ n)
n*t ^ (n-1)
Constant mulitple property (y = f(t) = ku(t))
dy / dt = f ' (t) = ku' (t) = k (du / dt)
Sum and Difference properties (y = f (t) = u (t) +/- w (t))
dy / dt = f ' (t) = u ' (t) +/- w ' (t) = (du / dt) +/- (dw/dt)
(d / dt) * e ^ t
e ^ t
(d / dt) ln t
1/t
(d / dt) b ^ t
b ^ t * ln b
(d / dt) log b * t
(1 / ln b) * (1/t)
Noyes Whitney Equation
dx / dt = (DA / t) (C1 - C2)
integral x ^ n dx
(x ^ (n+1) / (n+1)) + C
integral e ^ x dx
e ^ x + C
integral 1/x dx
ln | x | + C
integral kf (x) dx
k integral f (x) dx
integral [ f (x) +/- g (x)] dx
integral f (x) dx +/- integral g (x) dx
Look over slide 21 of the Fundamental Mathematics in Pharmacokinetics lecture!!!
didn't know how to put that on here :/
Trapezoidal Rule ( [AUC] )
((Cn-1 + Cn) / 2) * (tn - tn-1)
(may also want to look at slide 22 for this one)
[AUC] when t is infinite
Cpn / K
(slide 23)
BSA for drugs with a narrow therapeutic index
((BW / 70kg) ^ 0.73) * 1.73 m^2
(slide 28)
Young's formula for child's dose calculations
Adult dose * (Child's age / (Child's age + 12))
Dilling's formula for child's dose calculations
Adult dose * Child's dose / 20
Child's dose based on BSA
Adult dose * (BSA / 1.73)
Zero - order reaction rate of disappearnace
-k0
Zero - order reaction integration where A0 is the amount of drug at t = 0
-k0 * t + A0
Zero - order reaction drug concentration
-k0 * t + C0
First - order reaction rate of disappearance
-kA
(A = drug A)
First - order reaction integration (ln A)
-k * t + lon A0
First - order reation C0 (log C)
((-k * t) / 2.3) + log C0
Half - life (t 1/2) of First - order
0.692 / k
Half - life of Zero - order
(0.5 A0) / k0
Drug in the body (Db)
Vc * Cp
Clearance (Cl)
((dDb / dt) / Cp) OR -k * Vd
Drug concentration at any point in time for First- order drugs (C)
C0 * e ^ (-k * t)
Calculation for IV bolus (AUC)
C0 / k
Clearance using AUC
Dose / AUC
Volume of distribution using AUC
Dose / C0
First - order kinetics drug elimination
[drug]plasma * drug clearance
First - order kinetics half - life
0.693 / ke
elimination rate constant (ke)
0.693 / (t 1/2)
Clearance using Vd and ke
Vd * Ke
Card Set Information
Author:
Kautrey
ID:
130803
Filename:
BPPK
Updated:
2012-01-26 18:13:17
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Equations
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Description:
BPPK Equations for Exam 1
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