The applicant proposes to develop and test a new general computer simulation algorithm that can be used for modeling the behavior of physiological systems with components of different material properties (multiphysical problems). Examples are blood flow, aqueous flow, joint mechanics. Solid-fluid interactions pose challenges too great for traditional approaches to computer simulation. The applicant proposes to apply a new algorithm, called first-order system least-squares (FOSLS). FOSLS transforms a mathematical problem into a larger but simpler form, which allow existing high-powered numerical methods to solve the problem much faster than the original form permits. The applicant describes how his method could clarify questions of possible interaction between aqueous humor flow and a deformable iris.
Heys, Jeffrey J; DeGroff, Curt; Manteuffel, Tom et al. (2004) Modeling 3-D compliant blood flow with FOSLS. Biomed Sci Instrum 40:193-9 |
Heys, Jeffrey J; Barocas, Victor H (2002) Computational evaluation of the role of accommodation in pigmentary glaucoma. Invest Ophthalmol Vis Sci 43:700-8 |
Heys, Jeffrey J; Barocas, Victor H (2002) A boussinesq model of natural convection in the human eye and the formation of Krukenberg's spindle. Ann Biomed Eng 30:392-401 |
Heys, J J; Barocas, V H; Taravella, M J (2001) Modeling passive mechanical interaction between aqueous humor and iris. J Biomech Eng 123:540-7 |