Table 1. Open in new tab Reactions and...

Table 1.

Reactions and propensities of a gene regulatory circuit with n genes and m reactions.^a

Reaction	Propensity
$\emptyset \to mRN A_{1}$	$k_{m}^{1} \cdot c_{1} (X)$
$mRN A_{1} \to mRN A_{1} + X_{1}$	$k_{x}^{1} \cdot mRN A_{1}$
$mRN A_{1} \to \emptyset$	$γ_{m}^{1} \cdot mRN A_{1}$
$X_{1} \to \emptyset$	$γ_{x}^{1} \cdot X_{1}$
$⋮$	$⋮$
$\emptyset \to mRN A_{n}$	$k_{m}^{n} \cdot c_{n} (X)$
$mRN A_{n} \to mRN A_{n} + X_{n}$	$k_{x}^{n} \cdot mRN A_{n}$
$mRN A_{n} \to \emptyset$	$γ_{m}^{n} \cdot mRN A_{n}$
$X_{n} \to \emptyset$	$γ_{x}^{n} \cdot X_{n}$

$k_{m}$ and $k_{X}$ are the transcription and translation rate constants and $γ_{m}$ and $γ_{X}$ are the degradation rate constants of mRNA and protein, respectively. $c_{m} (X)$ is the input function encoding the regulation by proteins.

This Feature Is Available To Subscribers Only