Mathematical Model for Estimation of Volume Respiratory Parameters

Abstract

A mathematical model of the biomechanics of human respiration has been developed. To verify the proposed mathematical model, it is suggested to use a photo-optical method for recording the biomechanics of the chest and abdomen together with spirometry. Pilot studies were carried out among 10 men aged 20–22. The body mass index of the subjects ranged from 19.3 to 21.5 kg/m², height – from 169 to 182 cm, weight – from 55 to 70 kg. Correlation-regression analysis of the results showed a strong relationship between biomechanical movements of the chest and abdominal walls and changes in the diameters of the airways during continuous breathing (correlation coefficient r = 0.89, statistically significant test result p ≤ 0.05). The proposed mathematical model can be used for indirect estimation of lung volume.