Models and Simulations for Lung Ventilation

Speaker:  Mingchao Cai

Time:      10:00 am, Jun. 10th

Location: SIST 1A-200

Host:      Qifeng Liao

Abstract:

In this talk, I will present recent advances in mathematical modeling and numerical simulation of lung ventilation. The discussion will focus on two components: (1) a fluid dynamics model for airflow through the bronchial tree, incorporating elastic boundary conditions derived from pressure–volume relationships to capture lung elastance and airway resistance, and (2) a 3D hyperelastic-poroelastic model for simulating lung parenchyma deformation. The latter leverages CT imaging data from porcine lungs to construct anatomically realistic geometries and boundary conditions. I will outline the technical framework behind our modeling approach, highlight simulation results, and discuss how to develop digital twins for lung ventilation.

Bio:

Professor and PhD supervisor at Morgan State University, Maryland, USA. Mainly engaged in numerical analysis, computation of fluid, elasticity and biomechanics. Focusing on modeling and computation of multi-physics and multi-region problems. Published more than 30 papers in influential SCI journals such as SIAM J. Numer. Anal., SIAM, J. Sci. Comput., Math. Comput. and J. Biomechanics, published 2 book chapters, made more than 80 conference or invited reports, and is a reviewer for MathSciNet and more than 30 computational mathematics and computational physics journals. Organized and hosted academic conferences: CBMS conference: Deep Learning and Numerical PDEs (2023).