TABLE 1.
Symbols and units used in modeling the kinetics of passive permeation
| Symbola | Description | Units |
|---|---|---|
| J | Flux of solute per unit of cell surface area | nmol · cm−2 · s−1 |
| F (t) | Flux of solute into the population of cells in the volume element of suspension at time t; this flux increases with growth owing to the increasing total surface area of the population of cells in a unit volume of suspension | nmol · s−1 |
| P | Permeability coefficient | cm · s−1 |
| t | Time | s |
| m3 (t) | Total amount of solute in the cytoplasm of the population of cells at time t in the volume element of the suspension considered | nmol |
| c1 | Concentration of compound outside the cells (assumed to be constant) | nmol · cm−3 |
| c3 (t) | Concentration of compound in the cytoplasm at time t | nmol · cm−3 |
| A | Specific area of the cell envelope; the specific area does not vary with time | cm2 · (mg dry mass−1) |
| V3 | Specific volume of the cytoplasm; the specific volume does not vary with time | cm3 · (mg dry mass−1) |
| M (t) | Mass of cells at time t in the volume element considered | mg dry mass |
| M0 | Mass of cells at time zero in the volume element of the suspension considered, which determines the initial surface area and volume of cytoplasm of the population in that volume | mg dry mass |
| μ | Specific growth rate constant | s−1 |
a
Dependency is shown in parentheses.