N° | PL equations for the TOL model | Description |
---|---|---|
1 | dupper/dt = k 0 upper * s + (XylR, θ XylR ) * s + (m xyl , θ mxyl ) - g upper * upper | Upper pathway expression |
2 | dXylS/dt = k 0 XylS + k 1 XylS * s + (XylR, θ XylR ) * s + (m xyl , θ mxyl ) - g XylS * XylS | XylS expression |
3 | dmeta/dt = k 0 meta * s + (XylS, θ 2 XylSh ) + k 1 meta * s + (XylS, θ 1 XylSi ) * s + (upper, θ upper ) * s + (m xyl , θ mxyl ) - g meta * meta | Meta pathway expression |
4 | dXylR/dt = k 0 XylR - g XylR * XylR | XylR expression |
 | Parameter inequalities |  |
 | zero upper <θ upper < k 0 upper /g upper < max upper | Parameter inequalities for equation 1 |
 | zero XylS < θ 1 XylSi < k 0 XylS /g XylS < θ 2 XylSh < (k 0 XylS + k 1 XylS )/g XylS < max XylS | Parameter inequalities for equation 2 |
 | zero meta < θ meta < k 0 meta /g meta < k 1 meta /g meta < (k 0 meta + k 1 meta )/g meta < max meta | Parameter inequalities for equation 3 |
 | zero XylR <θ XylR < k 0 XylR /g XylR < max XylR | Parameter inequalities for equation 4 |
 | Alternative parameter inequalities |  |
 | zero XylS < θ 1 XylSi < k 0 XylS /g XylS < (k 0 XylS + k 1 XylS )/g XylS < θ 2 XylSh < max XylS | No XylS hyper-expression condition (for eq. 2) |
 | zero upper < k 0 upper /g upper <θ upper < max upper | No XylSa condition (for eq.1) |