### Abstract

We introduce one-parameter groups of transformations that effect wide-ranging changes in the rate constants and input/output fluxes of homogeneous chemical reactions involving an arbitrary number of species in reactions of zero, first and second order. Each one-parameter group is required to convert every solution of such elementary rate equations into corresponding solutions of a one-parameter family of altered elementary rate equations. The generators of all allowed one-parameter groups are obtained for systems with N species using an algorithm which exactly determines their action on the rate constants, and either exactly determines or systematically approximates their action on the concentrations. Compounding the one-parameter groups yields all many-parameter groups of smooth time-independent transformations that interconvert elementary rate equations and their solutions.

Original language | English (US) |
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Pages (from-to) | 243-259 |

Number of pages | 17 |

Journal | Journal of Mathematical Chemistry |

Volume | 3 |

Issue number | 3 |

DOIs | |

State | Published - Jul 1 1989 |

### All Science Journal Classification (ASJC) codes

- Chemistry(all)
- Applied Mathematics