Question

please help me with this pharmokinetics problem:

The study of a drug, after administration to experimental animals of 500 mg solution intravenously in the form of bolus, experimental data from the following table are obtained.

Time (hours)	Concenration (µg/mL)
0.5	17.52
1	13.52
2	8.28
4	3.05
6	1.12
8	0.41
12	0.06

Calculate a) elimination constant, b) distribution volume, c) drug eliminationand clearance (in mL//min), d) area under the curve, e) the biological half-life of this drug

the given answers are: a)0.5 h^-1 , b )22.2 L, c) 1.1 L/h, e)46.76 $\mu$ g*h/mL

Answer 1

=[752 +13:52] [1-05] 4% [13:52 +628][-1] +4 [8264303 +Y [305 4 12] [6-4]+Y[124041] [1-6] +%[ock Pon] 26+ 10.89 +11:33 +4:17 +1.53 +0.94 7.76 + 73041 = 29.9€ = where ek is dung concentration in blood at the last time point, t* AUCE = 6 = 0.12 05 Au co base m integrator method = 22 -44. 5-0 biological half life t/2=0.693 K 0693 0.5 th2= 1.380 he]

- From the equation logc=log Co-Kt/2:303 Plot a Semmiloguithmic plot of logc vusus time. gives a straight line with a slope of -1/2:3034 intercept as co Time Conc loglone From the graph 1:24 Slope = -K --0-38-0-049 0.5 17.52 4-9, x x 13.52 1-13 8.28 2.303 8-6 305 1-12 >K-0.5 0-918 0:48 0.049 -0-38 - 122 0:41 0.06 from the graph y intercept Go = 1.34 2134 6=22 VA - IV love, 500 - 22.2L=V4] Total desconce = Vdik = 22:2 X0-5 = 1.1L/her 1185 ml/min Alla undur Aure. is calculated by trapezoidal curve AUCE = "/2 (cotc.) (t, -to) + Y2 CC, + C2) (t2-t) +..... (4769))

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