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Systems of chemical reactions can be converted to systems of ordinary differential equations, and also to systems of definitions in stochastic p-calculus. Conversely, restricted systems of definitions in stochastic p-calculus (in Chemical Parametric Form, or CPF) can be converted to systems of chemical reactions. CPFs are "restricted" with respect to the full p-calculus, but are in fact more powerful that what is strictly needed to represent chemistry, and allow for parameterization and compositional reuse of models. The mapping of CPFs to chemistry also induces a (parametric and compositional) mapping of CPFs to ordinary differential equations; this indirect mapping through chemistry is much easier to define than a direct mapping. We derive a Markovian interleaving law from the mapping of processes to differential equations.

From Processes to ODEs by Chemistry