Table 1.
Description of model variables, parameters and constants. (Note, ‘cell’ unit refers to proportion of available cells for infection.)
| description | units | value | |
|---|---|---|---|
| X | concentration of FMDV in the blood | genomes ml−1 | variable |
| Y | concentration of FMDV in the interstitial space | genomes ml−1 | variable |
| U | proportion of available epithelial cells for infection | cell | variable |
| F | proportion of infected epithelial cells | cell | variable |
| X(0) | initial concentration of FMDV in the blood | genomes ml−1 | parameter |
| Y(0) | initial concentration of FMDV in the interstitial space | genomes ml−1 | 0 |
| U(0) | initial proportion of available epithelial cells for infection | cell | 1 |
| F(0) | initial proportion of infected epithelial cells | cell | 0 |
| ly | rate of loss of FMDV genomes in the interstitial space lost | h−1 | parameter |
| hy | rate uninfected cells are infected per FMDV genome ml−1 serum in the interstitial space | genomes−1 ml h−1 | parameter |
| m | FMDV concentration in the interstitial space at which the rate of cell infection is half the maximum | genomes ml−1 | parameter |
| hf | proportion of cells infected per proportion of burst infected cells | cell−1 | parameter |
| kxy | rate of FMDV genomes in blood lost to the interstitial space | h−1 | parameter |
| kyx | rate of FMDV genomes in interstitial space lost to the blood | h−1 | parameter |
| r | ratio of volume of the blood to interstitial space | 0.53 | |
| lf | rate at which infected cells die | h−1 | 0.33 |
| b | number of FMDV genomes released ml−1 of interstitial space per proportion of burst infected cells | genomes ml−1 cell−1 | parameter |