In this two-pool calcium model, is the cytosolic calcium ion concentration, and measures calcium in an intracellular store, such as the endoplasmic reticulum. The variables in these balances are expressed using compatible effective volumes, so internal transfers enter their two equations with equal and opposite signs. If actual compartment concentrations use different reference volumes, the corresponding volume ratio must first be included in their balances.
The flux pumps calcium from the cytosol into the store, releases it back, and is passive store leakage back to the cytosol. The external input supplies cytosolic calcium, while exports it from the biological cell. Thus have units of inverse time and all five fluxes have units of concentration per time. Their directions can be sketched as
Adding the two ordinary differential equations verifies the total calcium balance
Internal uptake, release and leakage redistribute calcium; only the exchanges across the cell membrane change this total. In particular any equilibrium must have when .
Two-pool calcium model 2026-10-24
A two-pool calcium model couples cytosolic calcium and an intracellular store. With compatible reference volumes, uptake moves calcium into the store, release and leakage return it, and . External supply and export give . Thus an equilibrium has independently of the internal exchange law. Distinct physical reference volumes require their appropriate volume factors before adding the balances.