Abstract
The fast reaction limit of a volume–surface reaction–diffusion system is rigorously investigated. The system is motivated by proteins localisation in stem cell division. By using Ball’s energy equation method, we show that as the reaction rate constant goes to infinity, the solution of the original system converges to the solution of a heat equation with dynamical boundary condition. As a consequence, the dynamical boundary condition can be interpreted as a fast reaction limit of a volume–surface reaction–diffusion system.
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