Equation is Cx=(.Vu*Ux)/Px Plasma clearance (ml/min)- (urine flow [ml/min] X uri

Question

Equation is Cx=(.Vu*Ux)/Px

Plasma clearance (ml/min)- (urine flow [ml/min] X urine conc.)/ plasma conc. Px 1. For this final class assignment, calculate and compare the glomerular filtration rate for 3 animals. Recall blood volume for all animals is about 7% body weight for all mammals and that blood is 55% plasma and 45% cells. In all animals we will assume the concentrations are the same (this would depend on the amount of inulin injected, and in general concentrations do not vary with body size). In this case Urine concentration is 80 mg/ Land plasma concentration is 2 mg/L. What does vary is urine flow rate. Shrew = 2 ?L/min. Deer-3 mL/min. Elephant 100 mL/min. For each animal below calculate: 1) GFR and 2) the time required to completely filter a volume of plasma equal to the entire plasma volume of the animal. "Note: GFR is the same as plasma clearance. Also recall that 1 kg of water weighs 1 1, and 1 mL-1000 ?. (12 points) a) What is the GFR for a 60 kg deer? b) What is the GFR for a 4g desert shrew? c) What is the GFR for a 5500 kg elephant

Explanation / Answer

body weight has no effect on the GFR as it only measures the functioning of the nephrons in the kidney.

a) GFR for a 60kg deer

Cx=(Vu*Ux)/Px

urine concentration= 80 mg/ l

plasma concentration = 2 mg/ l

urine flow for deer = 3ml/min

GFR = plasma clearance [ml/min]= {urine flow[ml/min] x urine concentration } / plasma concentration  

= (3ml/min x 8mg/l) / 2mg/l

GFR = 12 ml/min

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a) GFR for a 4kg desert shrew

Cx=(Vu*Ux)/Px

urine concentration= 80 mg/ l

plasma concentration = 2 mg/ l

urine flow for deer = 2ul/min = 0.002 ml/min

GFR = plasma clearance [ml/min]= {urine flow[ml/min] x urine concentration } / plasma concentration  

= (0.002ml/min x 8mg/l) / 2mg/l

GFR = 0.008 ml/min

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a) GFR for a 5500kg elephant

Cx=(Vu*Ux)/Px

urine concentration= 80 mg/ l

plasma concentration = 2 mg/ l

urine flow for deer = 100ml/min

GFR = plasma clearance [ml/min]= {urine flow[ml/min] x urine concentration } / plasma concentration  

= (100ml/min x 8mg/l) / 2mg/l

GFR = 400 ml/min

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