Abstract
This paper describes a fast deformation method for blood vessels, in which there are blood streams. It takes a long time to analyze liquid behavior on the basis of the Navier-Stokes equation, so our method uses Boyle's law, which defines the relationship between volume and pressure for gas. Blood is incompressible, while gas is compressible. We then consider quasi-pressure when a blood vessel is shrunk by an external force, and restore the volume of the blood vessel by using the quasi-pressure. As a result, the volume of blood vessels could be kept constant and our method satisfies the incompressible condition of blood. Finally, the proposed method has enabled us to deform blood vessels very fast compared with the fluid dynamics method based on the Navior-Stokes equation.
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