1. In vivo testing provides valuable insight into a drug's kinetics. Assessing drug kinetics following multiple different routes of administration provides greater insight than just a single route of administration alone. The following data was collected in 250 g rats following bolus iv, oral (po), and intraperitoneal (ip) administration. 10 mg/kg bolus iv 500 mg/kg po or ip Time (hr) Civ (mg/L) Time (hr) Cpo (mg/L) Cip (mg/L) 0.083 2.679 0.00 0.00 0.00 0.50 1.988 0.25 7.87 12.73 1.0 1.359 0.50 11.19 18.98 2.0 0.730 1.0 15.07 24.32 3.0 0.401 2.0 11.64 20.02 3.0 7.32 12.02 4.0 4.63 7.27 6.0 1.79 2.53 From this data, the following graphs were created and linear regression lines determined. You should practice making these graphs, but are not required to make them. In(C) Bolus IV Terminal Line Regression 5.00 4.00 3.00 2.00 1.00 y -0.6489x+1.0045 R²=0.9979 0.00 -1.00 -2.00 0 1 2 3 5 6 t (hr) 3. A promising new drug is being evaluated in human trials. Based on preliminary human tests, this drug is most effective when plasma levels exceed 30 mg/L. Measurements from preliminary tests indicate the following human pharmacokinetic parameter values: 4.6hr, 1/2abs 0.34hr, VD -0.29 L/kg. Foral-72%. Based on these parameters, estimate the following if a 49 kg woman were to receive a 1000mg oral dose of this drug: 2- (a) Estimate the plasma concentration of the drug at 1hr, 6 hr, and 20hr after taking the drug (5 points per Concentration estimate; total of 15 points) (b) Estimate the time for maximum plasma concentration (max). (5 points) (c) Estimate the maximum plasma concentration (Cmax). (5 points) (d) Estimate the time at which the plasma level first rises above 30 mg/L. (Note this is a trial and error problem where you must guess a time, plug it into the concentration equation, and determine if it is close to 30 mg/L. Hint: based on part (a) it should be apparent that the answer is less than 1hr.) (5 points) (e) Estimate the time at which the plasma level finally drops to 30 mg/L. (Note that this again is a trial and error problem, as in part (d). Hint: based on (a) the answer should be between 1 and 6hr.) (5 points) (f) Estimate the total time that this woman's plasma level is expected to be above the concentration of 30 mg/L. (5 points)

Curren'S Math For Meds: Dosages & Sol
11th Edition
ISBN:9781305143531
Author:CURREN
Publisher:CURREN
Chapter6: Oral Medication Labels And Dosage Calculation
Section: Chapter Questions
Problem 37SST
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1. In vivo testing provides valuable insight into a drug’s kinetics. Assessing drug kinetics following multiple different routes of administration provides greater insight than just a single route of administration alone. The following data was collected in 250 g rats following bolus iv, oral (po), and intraperitoneal (ip) administration.Using this data and set of graphs, determine:

(a) k, C0, V, and AUC* for the bolus iv data  (b) k, ka, B1, and AUC* for the po data  (c) k, ka, B1, and AUC* for the ip data  (d) relative bioavailability for po vs ip, Fpo/Fip  (e) absolute po bioavailability, (f)Fpo absolute ip bioavailability, Fip   

MAKE SURE ANSWERS HAVE UNITS if appropriate.
SHOW ALL WORK, including equation used, variables used and each step to your solution.
1. In vivo testing provides valuable insight into a drug's kinetics. Assessing drug kinetics
following multiple different routes of administration provides greater insight than just a single
route of administration alone. The following data was collected in 250 g rats following bolus
iv, oral (po), and intraperitoneal (ip) administration.
10 mg/kg bolus iv
500 mg/kg po or ip
Time (hr) Civ (mg/L)
Time (hr)
Cpo (mg/L)
Cip (mg/L)
0.083
2.679
0.00
0.00
0.00
0.50
1.988
0.25
7.87
12.73
1.0
1.359
0.50
11.19
18.98
2.0
0.730
1.0
15.07
24.32
3.0
0.401
2.0
11.64
20.02
3.0
7.32
12.02
4.0
4.63
7.27
6.0
1.79
2.53
From this data, the following graphs were created and linear regression lines determined. You
should practice making these graphs, but are not required to make them.
In(C)
Bolus IV Terminal Line Regression
5.00
4.00
3.00
2.00
1.00
y -0.6489x+1.0045
R²=0.9979
0.00
-1.00
-2.00
0
1
2
3
5
6
t (hr)
Transcribed Image Text:1. In vivo testing provides valuable insight into a drug's kinetics. Assessing drug kinetics following multiple different routes of administration provides greater insight than just a single route of administration alone. The following data was collected in 250 g rats following bolus iv, oral (po), and intraperitoneal (ip) administration. 10 mg/kg bolus iv 500 mg/kg po or ip Time (hr) Civ (mg/L) Time (hr) Cpo (mg/L) Cip (mg/L) 0.083 2.679 0.00 0.00 0.00 0.50 1.988 0.25 7.87 12.73 1.0 1.359 0.50 11.19 18.98 2.0 0.730 1.0 15.07 24.32 3.0 0.401 2.0 11.64 20.02 3.0 7.32 12.02 4.0 4.63 7.27 6.0 1.79 2.53 From this data, the following graphs were created and linear regression lines determined. You should practice making these graphs, but are not required to make them. In(C) Bolus IV Terminal Line Regression 5.00 4.00 3.00 2.00 1.00 y -0.6489x+1.0045 R²=0.9979 0.00 -1.00 -2.00 0 1 2 3 5 6 t (hr)
3. A promising new drug is being evaluated in human trials. Based on preliminary human tests,
this drug is most effective when plasma levels exceed 30 mg/L. Measurements from
preliminary tests indicate the following human pharmacokinetic parameter values:
4.6hr, 1/2abs 0.34hr, VD -0.29 L/kg. Foral-72%. Based on these parameters, estimate the
following if a 49 kg woman were to receive a 1000mg oral dose of this drug:
2-
(a) Estimate the plasma concentration of the drug at 1hr, 6 hr, and 20hr after taking the drug (5
points per Concentration estimate; total of 15 points)
(b) Estimate the time for maximum plasma concentration (max). (5 points)
(c) Estimate the maximum plasma concentration (Cmax). (5 points)
(d) Estimate the time at which the plasma level first rises above 30 mg/L. (Note this is a trial
and error problem where you must guess a time, plug it into the concentration equation, and
determine if it is close to 30 mg/L. Hint: based on part (a) it should be apparent that the
answer is less than 1hr.) (5 points)
(e) Estimate the time at which the plasma level finally drops to 30 mg/L. (Note that this again
is a trial and error problem, as in part (d). Hint: based on (a) the answer should be between
1 and 6hr.) (5 points)
(f) Estimate the total time that this woman's plasma level is expected to be above the
concentration of 30 mg/L. (5 points)
Transcribed Image Text:3. A promising new drug is being evaluated in human trials. Based on preliminary human tests, this drug is most effective when plasma levels exceed 30 mg/L. Measurements from preliminary tests indicate the following human pharmacokinetic parameter values: 4.6hr, 1/2abs 0.34hr, VD -0.29 L/kg. Foral-72%. Based on these parameters, estimate the following if a 49 kg woman were to receive a 1000mg oral dose of this drug: 2- (a) Estimate the plasma concentration of the drug at 1hr, 6 hr, and 20hr after taking the drug (5 points per Concentration estimate; total of 15 points) (b) Estimate the time for maximum plasma concentration (max). (5 points) (c) Estimate the maximum plasma concentration (Cmax). (5 points) (d) Estimate the time at which the plasma level first rises above 30 mg/L. (Note this is a trial and error problem where you must guess a time, plug it into the concentration equation, and determine if it is close to 30 mg/L. Hint: based on part (a) it should be apparent that the answer is less than 1hr.) (5 points) (e) Estimate the time at which the plasma level finally drops to 30 mg/L. (Note that this again is a trial and error problem, as in part (d). Hint: based on (a) the answer should be between 1 and 6hr.) (5 points) (f) Estimate the total time that this woman's plasma level is expected to be above the concentration of 30 mg/L. (5 points)
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