next | previous | forward | backward | up | top | index | toc | Macaulay2 website
ReactionNetworks :: stoichiometricConeKer

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

Synopsis

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

See also

Ways to use stoichiometricConeKer :

For the programmer

The object stoichiometricConeKer is a method function.