The equations governing the module are given by
Ignoring the diffusive terms, these equations can be represented by the following matrices,
When applying the program to this module, we reach the conclusion that the family is $S$-injective, on the first iteration, with the determinant criterion.
There is a signal $S$ that additively regulates two parallel pathways, $X$ and $Y$. $X^*$ acts as an inhibitor of the response $R^*$, and $Y^*$ acts as an activator of $R$.
Ignoring the diffusive terms, these equations can be represented by the following matrices,
Applying the program to this module, we reach the conclusion …show more content…
The following matrices describe the system,
The method is inconclusive.
Consider the modification of the substrate $S_0$ to $S_1$, with enzyme $E$ and phosphatase $F_1$. $S_1$ acts as an enzyme for the modification of the substrate $P_1$ to $P_2$, and this has a phosphatase $F_2$.
The following matrices describe the system,
The method draws the conclusion that the family is $S$-injective, using the determinant criterion, in the first iteration
Consider the modification of the substrate $S_0$ to $S_1$, with enzyme $E$. $S_1$ acts as an enzyme for the modification of the substrate $P_0$ to $P_1$. $F$ acts as a phosphatase for both substrates.
The following matrices describe the system,
The method is inconclusive.
Consider the modification of the substrate $S_0$ to $S_1$, with enzyme $E$ and phosphatase $F_1$. $S_1$ and $E$ act as an enzyme for the modification of the substrate $P_0$ to $P_1$, and this has a phosphatase $F_2$.
The following matrices describe the system,
The following table includes the summary of results for the modules