“…7,10,41 The model studied here is also implemented using lumped parameters, but unlike the previous ones, its R, I, and C are nonlinear parameters, with values controlled by flow, inlet and pleural pressures according to the empirical tube-law (2), so their values follow also the lung volume. Another group of publications assumed static 48,49,58 or quasi-static 4,14,16,17 conditions, in particular a constant flow. On the contrary, this model is fully dynamic with the accumulation and release of air in the flexible bronchi and alveoli, T A B L E 1 Performance measures of the algebraic approximation: the root relative square errors of simulated pressure P ao (δP), flow Q ao (δQ) and volume V t (δV) signals, and the index of simulation time reduction (R t ), for spontaneous breathing (SB), mechanical ventilation (OVW), and forced expiration (FE) with different speeds of expiratory muscle activation (10, 20, taking into account the inertia of the lung, chest, and air.…”