Table 1 Definition, value and units of the nutrient model parameters taken from36.
Parameter | Description | Value, Units & Source |
|---|---|---|
\(N_{ma}^{0}\) | Rate of intake of macronutrients | 400 g/day45 |
\(N_{mi}^{0}\) | Rate of intake of micronutrients | 9 g/day45 |
q | Rate of faecal removal of excess nutrients and bacteria | 0.13 day-165 |
\(F^{0}\) | Rate of intake of commensal bacteria | \(\mathrm {1.24\times 10}^{9}\) CFU/day66 |
\(P^{0}\) | Rate of intake of pathogenic bacteria | \(\mathrm {0.06\times 10}^{9}\) CFU/day66 |
\(P_{b}\) | Rate of intake of probiotics | \(\mathrm {1\times 10}^{9}\)-\(\mathrm {1\times 10}^{11}\) CFU/day |
K | Carrying capacity | \(\mathrm {1\times 10}^{14}\) CFU |
\(\eta _{1}\) | Rate of uptake of macronutrients by commensal bacteria | \(\mathrm {1\times 10}^{-14}\) (CFU day)-1 |
\(\eta _{2}\) | Rate of release of micronutrients from degradation of pathogenic bacteria | \(\mathrm {1\times 10}^{-17}\) (CFU day)-1 |
\(\eta _{3}\) | Rate of consumption of micronutrients by commensal bacteria | \(\mathrm {1\times 10}^{-14}\) (CFU day)-1 |
\(\eta _{4}\) | Rate of uptake of micronutrients by pathogenic bacteria | \(\mathrm {1\times 10}^{-14}\) (CFU day)-1 |
\(\eta _{5}\) | Rate of consumption of micronutrients by host epithelial cells | 0.01 day-1 |
\(\eta _{6}\) | Rate of utilisation of metabolites by epithelial cells | 0.1 day-1 |
\(\eta _{7}\) | Rate of utilisation of metabolites by commensal bacteria | \(\mathrm {1\times 10}^{-17}\) (CFU day)-1 |
\(\eta _{8}\) | Rate of production of alternate nutrients | \(\mathrm {2.59\times 10}^{-9}\) ml/(ng CFU day) |
\(\eta _{9}\) | Rate of consumption of alternate nutrients by pathogens | \(\mathrm {1\times 10}^{-14}\) (CFU day)-1 |
\(\beta _{1}\) | Proportionality parameter | \(\mathrm {2.44\times 10}^{5}\) CFU/ng |
\(\beta _{2}\) | Proportionality parameter | \(\mathrm {2.44\times 10}^{4}\) CFU/ng |
\(\beta _{3}\) | Rate at which pathogenic bacteria are destroyed by autophagy and AMPs from epithelial cells | 0.5 day-1 |
\(\beta _{4}\) | Rate at which pathogens are destroyed by macrophages | \(\mathrm {9.17\times 10}^{-9}\) ml/day |
\(\beta _{5}\) | Rate at which pathogens are destroyed by commensals | \(\mathrm {1\times 10}^{-17}\) (CFU day)-1 |
\(\beta _{6}\) | Rate at which pathogens are destroyed by sIgA | \(\mathrm {1.03\times 10}^{-6}\) ml/day |
