Example : A 65 years old, 43 kg man was admitted to the hospital because of acute urinary tract infection. Urine was collected over 24-hr period to determine the creatinine clearance. The total urine volume collected was 1600 ml and the creatinine conc in urine was 0.5 mg/ml. Serum creatinine was 1.5 mg/dl. Estimate the patient creatinine clearance and gentamicin half life based on the patient's kidney function.

Calculation of the creatinine clearance:

a- Based on the creatinine excretion rate:

Total amount of creatinine excreted = 1600 ml x 0.5 mg/ml = 800 mg

Exc.Rate =

800 mg

24 hr.60 min/hr
= 0.556 mg/min
CLCr =

0.556 mg/min

1.5 mg/100 ml
= 37 ml/min
Kid.Function =

37 ml/min

120 ml/min
= 0.31 of normal

b- Based on age, wt and serum creatinine:

CLCr =

(140 - age in years)(wt in kg)

72 (serum Cr mg/dl)
CLCr =

(140 - 65)(43 kg)

72 (1.5 mg/dl)
= 30 ml/min
Kid.Function =

30 ml/min

120 ml/min
= 0.25 of normal

Answer :

Estimated Half life (a) =

2.5 hr

0.31
= 8 hr
Estimated Half life (b) =

2.5 hr

0.25
= 10 hr

Based on the patient's kidney function, and gentamicin half life in a patient population with similar kidney function, the half life in this patient is approximately 8-10 hr

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