A Mathematical model for carbon dioxide exchange during mechanical ventilation with Tracheal Gas Insufflation (TGI)

• Published in: Mathematical and computer modelling Vol. 29; no. 6; pp. 45 - 61
• Main Authors: Crooke, P.S., Hota, S., Marini, J.J., Hotchkiss, J.R.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.03.1999; Elsevier Science
• Subjects: Alveolar ventilation; Carbon dioxide exchange; Exact sciences and technology; Mathematical analysis; Mathematics; Mechanical ventilation; Ordinary differential equations; Partial differential equations; Sciences and techniques of general use; Shunt; Tracheal gas insufflation; Two-compartment model; Alveolar ventilation; Shunt; Two-compartment model; Mechanical ventilation; Tracheal gas insufflation; Carbon dioxide exchange; Carbone dioxide exchange; Ventilation; Tracheal insufflation; Carbon dioxide injection; Catheter flow; Modeling; Two component model; Blood flow
• ISSN: 0895-7177; 1872-9479
• DOI: 10.1016/S0895-7177(99)00054-0

A mathematical model is presented to study the effect of Tracheal Gas Insufflation (TGI) on the alveolar ventilation during passive, mechanical ventilation. Equations are derive that relate the physiologic dead space and alveolar ventilation to the physiologic parameters of the patient (compliance, inspiratory and expiratory resistances, anatomical dead space, cardiac output, and shunting), the ventilator settings (frequency, inspiratory time fraction, and pressure waveform), and the catheter settings (flow rate and flow duration). It is shown that optimal alveolar ventilation exists for certain frequencies of ventilation and these frequencies are dependent on the catheter flow.