Modeling in Cardiopulmonary Resuscitation: Pumping the Heart

Abstract

Physiology offers insights into fundamental aspects of the circulation, even when the circulation is nonphysiological, as during cardiac arrest and cardiopulmonary resuscitation (CPR). Human and animal experiments offer only limited insights as they are susceptible to uncontrollable variables. Mathematical models offer quantitative results for flows, pressures and volumes under clearly defined conditions, chosen by the experimenters. This report describes the left ventricle and its immediate environment as the core of a larger mathematical model. The model works normally under physiological conditions, and is specifically designed to allow understanding of flow, pressure, and volume phenomena under CPR as an extreme pathophysiological scenario. Using impedance-defined flow, the importance of valves for both the contracting as well as the asystolic ventricle is quantified. It demonstrates the role of venous pressure, sloshing of blood and flow around the cardiovascular circuit. The flow of 8 mL/s, in a pathological situation is demonstrated to be due not to cardiac compression, but to venous pressure. The principal conclusions are that the model functions in the physiological situation and that in an asystolic left ventricle with competent valves, intrathoracic pressure can modestly replace contractile properties. In an asystolic ventricle without competent valves, intrathoracic pressure variations accomplish little. The cardiac pump theory in CPR has limited applicability.