Modeling prosthetic heart valves for numerical analysis of blood flow in the heart

Journal Article · Fri Aug 01 04:00:00 EDT 1980 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(80)90007-8· OSTI ID:5008009

Peskin, C S; McQueen, D M

This paper extends our previous work on numerical analysis of blood flow in the heart. In that work the boundary forces were evaluated by solving a fixed-point problem, which we now reformulate as a problem in optimization. This optimization problem, which involves the energy function from which the boundary forces are derived, is solved by Murray's modification of Newton's method. The energy function turns out to be an extremely useful tool in modeling prosthetic heart valves. To enforce a constraint on the valve, we use an energy function which is zero when the constraint is satisfied and positive other wise. The energy function must be invariant under translation and rotation so that convervation of momentum and angular momentum will be satisfied. We use this technique to construct computer models of several prosthetic valves, and we study the flow patterns of these valves in our computer test chamber.

• Research Organization: Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, New York 10012
• DOE Contract Number: EY-76-C-02-3077
• OSTI ID: 5008009
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 37:1; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

550600* -- Medicine
551000 -- Physiological Systems
59 BASIC BIOLOGICAL SCIENCES
62 RADIOLOGY AND NUCLEAR MEDICINE
BLOOD FLOW
BODY
CARDIOVASCULAR SYSTEM
COMPUTERIZED SIMULATION
CONTROL EQUIPMENT
EQUIPMENT
FLOW REGULATORS
HEART
ITERATIVE METHODS
MEDICAL SUPPLIES
NEWTON METHOD
NUMERICAL SOLUTION
OPTIMIZATION
ORGANS
PROSTHESES
SIMULATION
VALVES