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# stoichiometricConeKer -- Computes a matrix whose columns are the rays of the cone non-negative kernel of the stoichiometric matrix of a Reaction Network.

## Synopsis

• Usage:
E = stoichiometricConeKer N
• Inputs:
• Outputs:
• E, , whose columns are the non negative kernel of the stoichiometric matrix of N.

## Description

Computes the cone non-negative kernel of the stoichiometric matrix of N and puts its rays as columns of a matrix.

 i1 : N = reactionNetwork "A <--> B" o1 = A-->B B-->A o1 : ReactionNetwork i2 : S = stoichiometricMatrix N o2 = | -1 1 | | 1 -1 | 2 2 o2 : Matrix ZZ <-- ZZ i3 : E = stoichiometricConeKer N o3 = | 1 | | 1 | 2 1 o3 : Matrix ZZ <-- ZZ

A bigger example:

 i4 : N = oneSiteModificationA() o4 = S_0+E-->X X-->S_0+E X-->E+S_1 S_1+F-->Y Y-->S_1+F Y-->S_0+F o4 : ReactionNetwork i5 : S = stoichiometricMatrix N o5 = | -1 1 0 0 0 1 | | -1 1 1 0 0 0 | | 1 -1 -1 0 0 0 | | 0 0 1 -1 1 0 | | 0 0 0 -1 1 1 | | 0 0 0 1 -1 -1 | 6 6 o5 : Matrix ZZ <-- ZZ i6 : E = stoichiometricConeKer N o6 = | 0 1 1 | | 0 0 1 | | 0 1 0 | | 1 1 0 | | 1 0 0 | | 0 1 0 | 6 3 o6 : Matrix ZZ <-- ZZ