To determine the compliance of the patient's chest wall, you need to measure changes in intra pleural pressure (D,Ppl). Compliance is a measure of how easily the chest wall expands and contracts, and it is influenced by changes in intra pleural pressure. By measuring the changes in intra pleural pressure, you can assess the elasticity and flexibility of the chest wall, which will help determine its compliance. Changes in alveolar pressure, airway pressure, alveolar O2-partial pressure, and inspired O2-partial pressure are not directly related to measuring the compliance of the chest wall.