title: Modeling and Simulation of Mucus Flow in Human Bronchial Epithelial Cell Cultures - Part I: Idealized Axisymmetric Swirling Flow.
abstract: A multi-mode nonlinear constitutive model for mucus is constructed directly from micro- and macro-rheology experimental data on cell culture mucus, and a numerical algorithm is developed for the culture geometry and idealized cilia driving conditions. This study investigates the roles that mucus rheology, wall effects, and HBE culture geometry play in the development of flow profiles and the shape of the air-mucus interface. Simulations show that viscoelasticity captures normal stress generation in shear leading to a peak in the air-mucus interface at the middle of the culture and a depression at the walls. Linear and nonlinear viscoelastic regimes can be observed in cultures by varying the hurricane radius and mean rotational velocity. The advection-diffusion of a drug concentration dropped at the surface of the mucus flow is simulated as a function of Peclet number.
authors: Department of Mathematics, University of South Carolina, Columbia, South Carolina, United States of America.
authors: Paula A
authors: PA
authors: Vasquez
authors: Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, United States of America.
authors: Yuan
authors: Y
authors: Jin
authors: Department of Mathematics, University of South Carolina, Columbia, South Carolina, United States of America.
authors: Erik
authors: E
authors: Palmer
authors: Marsico Lung Institute & Cystic Fibrosis Pulmonary Research and Treatment Center, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, United States of America.|Department of Physics and Astronomy, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, United States of America.
authors: David
authors: D
authors: Hill
authors: Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, United States of America.|Department of Biomedical Engineering, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, United States of America.
authors: M Gregory
authors: MG
authors: Forest
mesh_terms: D000465:Algorithms; D001980:Bronchi / Q000166:cytology*; D002478:Cells, Cultured; D002923:Cilia / Q000502:physiology; D019295:Computational Biology; D003198:Computer Simulation; D004548:Elasticity; D004847:Epithelial Cells / Q000166:cytology*; D006801:Humans; D008954:Models, Biological; D009093:Mucus / Q000502:physiology*; D017711:Nonlinear Dynamics; D014783:Viscosity