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Consider the bidomain equations from electrophysiology with FitzHugh--Nagumotransport subject to current noise, i.e., subject to stochastic forcing modeledby a cylindrical Wiener process. It is shown that this set of equations admitsa unique global, strong pathwise solution within the setting of criticalspaces. The proof is based on combining methods from stochastic anddeterministic maximal regularity. In addition, the method of extrapolationspaces from deterministic evolution equations is transferred to the stochasticsetting.

Global Strong Well-Posedness of the stochastic bidomain equations with FitzHugh-Nagumo transport