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Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo
Maria Elena Gonzalez Herrero, Christian Kuehn, Krasimira Tsaneva-Atanasova
Since Noble adapted in 1962 the model of Hodgkin and Huxley to fit Purkinje fibres the refinement of models for cardiomyocytes has continued. Most of these models are high-dimensio…
Sequential escapes: onset of slow domino regime via a saddle connection
Peter Ashwin, Jennifer Creaser, Krasimira Tsaneva-Atanasova
We explore sequential escape behaviour of coupled bistable systems under the influence of stochastic perturbations. We consider transient escapes from a marginally stable "quiescen…
Sequential noise-induced escapes for oscillatory network dynamics
Jennifer Creaser, Krasimira Tsaneva-Atanasova, Peter Ashwin
It is well known that the addition of noise in a multistable system can induce random transitions between stable states. The rate of transition can be characterised in terms of the…