Some topics within Petri nets:

* Applied sciences
* Chemical reaction networks - smaller number of molecules brings stochastic behavior to the fore
* Biochemical reaction networks
* Gene regulatory networks
* Virological and immunological processes
* Ecology - interacting species networks, e.g. predator-prey
* Computer science applications, e.g., process modeling
* R&D at Statebox
* Oilfield depletion (Paul Pukite)
* Epidemiology

* Abstract, categorical
* Open Petri nets (John Baez, Jade Master, Blake Pollard)

* Classical theoretical problems
* Reachability, termination, ...

* Deterministic Petri net analysis
* Rate equations; solutions and behavior
* Equilibrium, periodicity, ...

* Stochastic Petri net analysis
* Qua Markov chains, Poisson processes
* Formulation using techniques from quantum math (John Baez, Jacob Biamonte)

* Compartmental models in Epidemiology - SIR, SIRS, ...
* Deterministic form
* Classical epidemic analysis; logistic equations, the sigmoidal curve
* Stochastic form
* Applications to infection processes in small populations, e.g., hospital wards, farms

* Simulation
* Algorithms - Gillespie
* Software tools
* Needed: concrete problems to be solved with software