Abstract
This paper presents the scope of mathematical modeling by using uncommon geometric shapes for the computation of thoracic volume. The modeling has been done for Rotachora shapes for estimation and computation of fluid volume present in the thoracic area. Proposed extended model based approach demonstrates the scopes of its sensitivity in terms of volumetric variations with the act of breathe. The act of breathe involved inspiration and expiration states. New models have been constructed to compute the thoracic volumes and their variations are shown with respect to the thoracic impedances. Four dimensional Rotachora shapes are taken into consideration. Human thorax is considered as cubinder in the first stage and as duo cylinder in the second phase under Rotachora shape category. It is observed that the volumes are rhythmically varying with the act of breath for the considered thoracic area along with the varying thoracic impedances. The obtained results validates that the chosen models are closely following the act of breath significantly and hence the obtained result could be utilized for clinical purposes.