Fractional calculus model of the semilunar heart valve vibratioins

Proceedings of the ASME Design Engineering Technical Conference

Volumn 5 A, Issue , 2003, Pages 711-714

  El Shahed, Moustafa ^a  

^a Misr University for Science and Technology   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CARDIOVASCULAR SYSTEM; DAMPING; DIFFERENTIAL EQUATIONS; EQUATIONS OF MOTION; FUNCTIONS; HEMODYNAMICS; INTEGRATION; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; VIBRATIONS (MECHANICAL);

FRACTIONAL CALCULUS MODELS; SEMILUNAR VALVES;

HEART VALVE PROSTHESES;

EID: 1842634167     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. Agrawal. O. P "A general Solution for a fourthorder fractional diffusion-wave equation defined in a Bounded Domain," Computers and Structures vol 79, (2001), 1497-1501
2. Blick. E. F, Sabbah. H.N and Stein. P.D "One-Dimensional Model of Diastolic Semilunar Valve Vibrations Productive of Heart Sounds," Journal of Biomechanics vol 12, (1979), 223-227.
3. Gorenflo.R and Mainardi.F "Fractals and Fractional Calculus in Continum Mechanics" Springer Verlag, New York (1997).
4. Igor Podlubny. Fractional Differential Equations.Academic Press, New York (1999)
5. Mazumadar.J and Woodard, D "A Mathematical Study of Semilunar Valve Vibration" Journal of Biomechanics, vol 17 (1984) 639-641.
6. Mazumadar.J "An Introduction to Mathematical Physiology and Biology" Australian Mathematical Society (1989).
7. Sakakbira" Response of Systems with Damping Materials Modeled using Fractional Calculus" JSME vol 40 (1997) 393-399.
8. Suarez. L and Shokooh. L" Response of Systems with Damping Materials Modeled using Fractional Calculus" Appl Mech Rev vol 48 (1995) S118-S126.
9. Suarez. L and Shokooh. L"An Eigenvector Expansion Method for the Solution of Motion Containing Fractional Derivatives" jour Journal of Applied Mechanics vol 64 (1997) 629-635.
10. Thibodean, G. A and Pattom, K. T "Anatomy and Physiology" Mosby (1995).