Mathematica 9 is now available

Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

A Fractional Calculus Model of Semilunar Heart Valve Vibrations
Author

Moustafa ElShahed
Organization: Misr University for Science&Technology,Giza,Egypt
Conference

2003 International Mathematica Symposium
Conference location

Imperial College, London
Description

The objective of this paper is to solve the equation of motion of semilunar heart valve vibrations. The vibration of the closed semilunar valves are modeled by a Caputo fractional derivative of order α.Using a Laplace transformation, a closed-form solution is obtained for the equation of motion in terms of a Mittag-Leffler function.An alternative method for a semi-differential equation α = 1/2 when is also examined. The simplicity of theMathematica solution makes it ideal for testing the accuracy of numerical methods.This solution can be of some interest for fitting experimental data.
Subjects

*Mathematics > Calculus and Analysis > Calculus
*Science > Medicine
*Science > Physics > Fluid Mechanics
Keywords

semilunar heart valve vibrations
Related items

*Challenging the Boundaries of Symbolic Computation: Proceedings of the 5th International Mathematica Symposium   [in Books]