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Chest physiotherapy is an empirical technique used to help secretions to getout of the lung whenever stagnation occurs. Although commonly used, little isknown about the inner mechanisms of chest physiotherapy and controversies aboutits use are coming out regularly. Thus, a scientific validation of chestphysiotherapy is needed to evaluate its effects on secretions.  We setup a quasi-static numerical model of chest physiotherapy based onthorax and lung physiology and on their respective biophysics. We modeled thelung with an idealized deformable symmetric bifurcating tree. Bronchi and theirinner fluids mechanics are assumed axisymmetric. Static data from theliterature is used to build a model for the lung's mechanics. Secretions motionis the consequence of the shear constraints apply by the air flow. The input ofthe model is the pressure on the chest wall at each time, and the output is thebronchi geometry and air and secretions properties.  In the limit of our model, we mimicked manual and mechanical chestphysiotherapy techniques. We show that for secretions to move, air flow has tobe high enough to overcome secretion resistance to motion. Moreover, the higherthe pressure or the quicker it is applied, the higher is the air flow and thusthe mobilization of secretions. However, pressures too high are efficient up toa point where airways compressions prevents air flow to increases any further.Generally, the first effects of manipulations is a decrease of the airway treehydrodynamic resistance, thus improving ventilation even if secretions do notget out of the lungs. Also, some secretions might be pushed deeper into thelungs; this effect is stronger for high pressures and for mechanical chestphysiotherapy. Finally, we propose and tested two adimensional numbers thatdepend on lung properties and that allow to measure the efficiency and comfortof a manipulation.

Towards the modeling of mucus draining from human lung: role of airways deformation on air-mucus interaction