Study of pulse transit time oscillations during obstructive sleep apnoea by using a distributed model

The study of arterial compliance is useful in understanding the geometrical and mechanical properties of a systemic arterial tree. Numerous mathematical models have shown their potential in relating the physical phenomena in the arterial tree to properties of the wall itself. However, limited model is available that describes the pulse transit time (PTT) oscillations of a sleeping child during tidal breathing and obstructive sleep apnoea (OSA). Data from 20 children (17 male; aged 6.4 +/- 4.1 yr) whom were recruited for overnight polysomnography (PSG) were used. A modified windkessel model with related physiological parameters was utilised to describe PTT fluctuations due to the cardiovascular system during sleep. Verification with the recorded PSG data showed similar trends with the model for both types of respiratory events. For tidal breathing, undamped PTT oscillations of 3.89 s were predicted by the model while actual data yielded a mean value of 3.72 +/- 0.79 s. Conversely, under-damping PTT responses were expected based on the model for OSA. The model estimated a Q factor of 4.23 and actual mean data were 3.86 +/- 0.64. Hence, the findings herein suggest that the proposed model has the potential to illustrate tidal breathing and OSA events in sleeping children.