Question 1 · Hard
A patient has a GFR of 120 mL/min and a plasma glucose of 25 mmol/L (450 mg/dL). Taking the tubular maximum for glucose as 2.0 mmol/min (360 mg/min) and ignoring splay, how much glucose is excreted each minute?
- A3.0 mmol/min (540 mg/min)
- B2.0 mmol/min (360 mg/min)
- C0 mmol/min (none excreted)
- D1.0 mmol/min (180 mg/min)
Show answerHide answer
Answer: D · 1.0 mmol/min (180 mg/min)
Filtered load = plasma glucose x GFR = 25 mmol/L x 0.120 L/min = 3.0 mmol/min (540 mg/min). The tubules can reabsorb at most 2.0 mmol/min, so the excess, 3.0 - 2.0 = 1.0 mmol/min (180 mg/min), is excreted. Convert mL/min to L/min before multiplying by a concentration in mmol/L. In real kidneys some glucose spills a little before the Tm is reached (splay), because nephrons differ.
- A: 3.0 mmol/min is the filtered load, before any reabsorption.
- B: 2.0 mmol/min is the amount reabsorbed (the Tm), not the amount excreted.
- C: Nothing would be excreted only if the filtered load were below the Tm; here it is above it.