A multifractal inverse problem applied to heart rate data synthesis

Daytime heart rate variability synthesis is proposed based on the assumption of multiplicative cascade. The parameters of the cascade were extracted from healthy RR intervals (RRi) to generate the synthetic data which reproduce some of the known HRV phenomenology, such as the multifractal scale invariance, stretch exponential-exponential-gaussian increment distribution transition from small to large increments, and Poisson excursion in small RRi fluctuation. However, this model only tackles the broad-band 1/f-like fractal component of HRV. Narrow-band components such as the respiration were not considered.