Table 1 The reactions that describe the replication cycle of PV. Numbered steps correspond to individually modeled reactions as described in Fig. 2.
From: Modeling poliovirus replication dynamics from live time-lapse single-cell imaging data
Reaction | Name | Equation | Reactants and products |
|---|---|---|---|
1 | Binding | \({{RNA^{+}_{initial}\ } { \sim Poisson (MOI)}}\) | \(\begin{array}{lc} \text {infecting viron} \rightarrow \\\hspace{3mm} \text {coated genome} \end{array}\) |
2 | Uncoating | \({t_{uncoat}\ } { \sim {Gamma{(0.02, 0.678)}}}\) | \(\begin{array} {lc} \text{coated genome} \rightarrow \\\hspace{3mm} \text{positive sense genome} \end{array}\) |
3 | Translation | \(r_{trans} = c_{trans}[RNA^{+}_{lin}]\) | \(\begin{array} {lc} \text{positive sense genome} \rightarrow \\\hspace{3mm} \text{3A + CAP}\end{array}\) |
4 | Complex formation | \({ {r_{com} =}{\ c_{com}(1- \frac{ [com] }{ com_{max} })[3A]} }\) | \(\begin{array} {lc} \text{positive sense genome + 3A} \rightarrow \\\hspace{3mm} \text{complex + 3CD + positive sense genome} \end{array}\) |
5 | Circularization | \(r^{i}_{circ} = c_{circ}[3CD]_{i}\) | \(\begin{array} {lc}\text{positive sense genome + complex + 3CD} \rightarrow \\\hspace{3mm} \text{circularized genome}\end{array}\) |
6 | Replication | \(\begin{array}{l}{{r_{rep+} =}{\ c_{rep \, pos}{[RNA^{+}_{circ}]}{(1-\frac{rep}{rep_{max}})}}} \\ {{r_{rep-} =}{\ c_{rep \, neg}{[RNA^{-}_{circ}]}{(1-\frac{rep}{rep_{max}})}}}\end{array}\) | \(\begin{array}{lc} \text{circularized genome} \rightarrow \\\hspace{3mm} \text{negative sense genome} \\ \text{negative sense genome} \rightarrow \\\hspace{3mm} \text{positive sense genome} \end{array}\) |
7 | Packaging | \(p_{pack}= 1- e^{-c_{pack}[CAP]}\) | \(\begin{array} {lc} \text{positive sense genome + CAP} \rightarrow \\\hspace{3mm} \text{packaged genome} \end{array}\) |
8 | Dispersal | \({p_{stay} = c_{stay}(1-p_{pack})}\) | \(\begin{array} {lc} \text{positive sense genome} \rightarrow \\\hspace{3mm} \text{genome dispersed in cell} \end{array}\) |
