. 2016 May 11;4:41. doi: 10.3389/fcell.2016.00041

Table 2.

Examples of typical reaction types of ODE models.

#	Stoichiometry	Reaction type	Flux	Contribution to $\frac{d A}{d t}$
1	∅ → A	Production	k	Positive/influx
2	A → ∅, B	Degradation, transformation	k · A	Negative/outflux
3	A + A → AA	Dimerization	k · A²	Negative/outflux
4	B → A	Transformation	k · B	Positive/influx
5	B + C → A	Binding	k · B · C	Positive/influx
6	B → A	Inhibition by C	$k \cdot B \cdot \frac{1}{q + C}$	Positive/influx
7	B → A	Michaelis-Menten	$k \cdot B \cdot \frac{1}{q + B}$	Positive/influx
8	A + B → C	Binding	k · A · B	Negative/outflux
9	A → B	Inhibition by C	$k \cdot A \cdot \frac{1}{q + C}$	Negative/outflux
10	A → B	Michaelis-Menten	$k \cdot A \cdot \frac{1}{q + A}$	Negative/outflux
11	B → A	Hill	$k \cdot \frac{B^{q_{2}}}{{q_{1}}^{q_{2}} + B^{q_{2}}}$	Positive/influx
12	∅ → A	Self-activation	$k \cdot \frac{A^{q_{2}}}{{q_{1}}^{q_{2}} + A^{q_{2}}}$	Positive/influx
13	B + C → A	Power-law	$k \cdot B^{q_{1}} \cdot C^{q_{2}}$	Positive/influx

All types are covered by our steady-state approach.