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Session S20 - Applied Math and Computational Methods and Analysis across the Americas

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Stress and stretch alveolar sac simulation and the effect on respiratory gases concentrations in the lung

Luis Jhony Caucha Morales

Universidad Nacional de Tumbes, Perú   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The study of pathologies of the lung is very important, the specialist improves the experiments to know the behavior of respiratory gases in the lung. We are interesting to simulate the effect of the gas concentrations in the alveolar sac, when the alveolar sac is subjected to stress and stretch during a respiratory cycle. Using the Navier-Stokes and convection-diffusion equations and classical boundary conditions in combinations with Nitsche’s method, we simulate the gas transport in an alveolar sac and quantified the stress, stretch in the wall, and the accumulations of CO2 for different volumes. For a numerical solution, we apply finite element methods and anisotropic LPS (Local projection stabilization). During inspiration, the CO2 concentrations take values from 0.056 to 0.06, and with Neumann condition for expiration is already uniformly around 0.06 the value prescribed in the boundary for exchange from blood. In conclusion, the boundary conditions for the CO2 concentrations have a strong influence on all alveolar sac and the amount of CO2 in the alveolar sac depends of capillaries numbers in the wall and it is not affected with forced maneuver. Keywords: Gases exchange, Navier-Stokes, Nitsche method

Joint work with Obidio Rubio (Mathematics, Universidad Nacional de Trujillo, Perú.).

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