Could anyone give me an example of a partial differential equation, along with the appropriate boundary conditions, that can be used in modeling a semi-continuous anaerobic digestion process? I'll be very grateful.
I recommend you to check out agent-based modeling -- ABM -- it gives much better expressivity in the interaction of different bacterial species and their spatiotemporal dynamics.
This approach is routinely used in ecosystems, societies, markets, immune systems, pedestrian behavior, military combat, and similar areas.
PDEs are not so flexible in describing fine spatiotemporal disturbances and one to one interactions. They work with averages, which are not so suitable to describe fine, strictly local bacterial interactions.
I recommend you to check out agent-based modeling -- ABM -- it gives much better expressivity in the interaction of different bacterial species and their spatiotemporal dynamics.
This approach is routinely used in ecosystems, societies, markets, immune systems, pedestrian behavior, military combat, and similar areas.
PDEs are not so flexible in describing fine spatiotemporal disturbances and one to one interactions. They work with averages, which are not so suitable to describe fine, strictly local bacterial interactions.