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Talk abstract:
Cardiac Mechanics by the Immersed Boundary Method
Charles S. Peskin,Courant Institute, NYU
The immersed boundary method was first introduced to study the
fluid dynamics of heart valves. Around the valves has grown a
computer model of the heart as a whole, including all four cardiac
chambers, all four valves, and the great vessels that connect the
heart to the rest of the circulation. This computer model employs a
fiber-fluid representation of the heart. In each time step, forces
are generated in elastic and contractile fibers. These forces are
then allowed to act on a uniform cubic lattice, on which the equations
of fluid dynamics are solved. Finally, the fibers move at the local
fluid velocity. Neither the fluid motion nor the cardiac tissue
motion is assumed known in advance. Instead, their simultaneous
equations of motion are solved. For this reason, the immersed
boundary method is particularly suitable for the computer simulation
of diseases affecting the mechanical function of the heart or its
valves, and also for the computer assisted design of devices such as
prosthetic cardiac valves that interact with the heart and with the
blood flow that occurs in the cardiac chambers.
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