ODE
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Integrate and Fire
Simple model for neuronal firing Introduction This is one of the simplest models used to depict neuronal firing. Description A simple model for neuronal firing consists of the basic ‘integrate-and-fire’ system ODE:
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FitzHugh–Nagumo
ODEs for the FitzHugh–Nagumo well-mixed system Introduction The FitzHugh–Nagumo (FN) model is commonly used as a toy model for neuronal excitation. Description Everything is well-mixed and two ODEs are solved for two variables,
 (voltage) and (recovery variable). - 
Actin Waves (Well-mixed)
ODEs for GTPase interacting with F-actin Introduction Here, we explore the time behavior of a well-mixed GTPase model with negative feedback from F-actin to the GTPase. Description We assume that GTPase (
 ) leads to actin assembly, and that F-actin, denoted by the variable ( ), leads to GTPase inactivation: