Abstract
We discuss open problems related to the stochastic modelling of cardiac function. The workis based on an experimental investigation of the dynamics of heart rate variability (HRV) inthe absence of respiratory perturbations. We consider first the cardiac control systemon short timescales via an analysis of HRV within the framework of a randomwalk approach. Our experiments show that HRV on timescales of less than aminute takes the form of free diffusion, close to Brownian motion, which can bedescribed as a non-stationary process with stationary increments. Secondly, weconsider the inverse problem of modelling the state of the control system so asto reproduce the experimentally observed HRV statistics of. We discuss somesimple toy models and identify open problems for the modelling of heart dynamics.
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