Petri.jl is a Petri net modeling framework for the Julia programming language.
Petri makes it easy to build complex reaction networks using a simple DSL. Once a model is defined,
Petri.jl has support to generate ODE solutions and stochastic simulations using
This is related to the DiffeqBiological Reaction DSL, but takes a different implementation approach. Instead of building our framework around symbolic algebra and standard chemical notion, we are working off the Applied Category Theory approach to reaction networks [Baez Pollard, 2017].
There are operations that are easy to do on the
Petri.Model like "add a transition from R to S" that require simultaneously changing multiple parts of the algebraic formulation. Applied Category Theory gives a sound theoretical framework for manipulating Petri Nets as a model in terms of the given domain.
Petri is a Julia package primarily intended to investigate how we can operationalize this theory into practical scientific software.
See AlgebraicPetri for tools that work with Petri net models and manipulating them with higher level APIs based on Applied Category Theory.