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Table 1 Creatinine and volume kinetic components

From: Combining creatinine and volume kinetics identifies missed cases of acute kidney injury following cardiac arrest

Compartment Rate of change of mass/volume Gain Losses
Creatinine 1 Ċ 1 V 1 + C 1 V ˙ 1 k e C 2 V 2 k e C1V1 + k r C1V1
Creatinine 2 C 2 V ˙ 2 + Ċ 2 V 2 Ġ + k e C1V1 k e C 2 V 2
Plasma, 1 V ˙ 1 + İ+ U ˙ + V ˙ 2 e
Expandable, 2e V ˙ 2 e C l d ( v 1 - v 10 ) v 10 C l d ( v 2 e - v 2 e 0 ) v 2 e 0
  1. Note: dot notation was used for differentiation (for example, Ċ= d C d t ). C1 and C2, creatinine concentrations for compartments 1 and 2, respectively. v c and v t , time-varying volumes; V1 and V2, creatinine volumes for compartments 1 and 2, respectively. V10 and V2e 0, time zero compartment volumes.