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Bursting oscillations are commonly seen as a mechanism for information codingin neuroscience and have also been observed in many physical, biochemical, andchemical systems. This study focuses on the computational investigation ofmixed-mode bursting oscillations (MMBOs) generated by a simple two-dimensionalintegrate-and-fire-or-burst (IFB) model. We demonstrate a new paradigm for thegeneration of MMBOs, where birhythmicity and noise are the key components. Inthe absence of noise, the proposed model exhibits birhythmicity of twoindependent bursting patterns, bursts of two spikes and bursts of three spikes,depending on the initial condition of the model. Noise induces the randomtransitions between two bursting states which leads to MMBOs, and thetransition rate increases with the noise intensity. Our results provide asystematic view of the roles of noise and initial condition: the burstingdynamics produced by the proposed model heavily rely on the initial conditionswhen noise is weak; while for intermediate and strong noise, the burst dynamicsare independent of the initial condition.

Mixed Mode Bursting Oscillations Induced by Birhythmicity and Noise