Research Article

Reachability Analysis of Low-Order Discrete State Reaction Networks Obeying Conservation Laws

Table 1

Notations.

the set of real numbers
the set of integer numbers
the set of non-negative integer numbers
the set of -dimensional vectors over the set
a zero matrix of dimension
a matrix of dimension for which all the entries are equal to 1
the set of -dimensional binary vectors (all the entries are equal to 0 or 1)
the set of -dimensional vectors composed of the entries
the th row of the matrix
for , for
for , for
an ordered sequence of states
an ordered sequence of reaction vectors
an ordered sequence of species
an ordered sequence of complexes