Estimation of Suitable Methodology for Determining Weibull Parameters for the Vortex Shedding Analysis of Synovial Fluid |
Singh, Nishant Kumar
(School of Biomedical Engineering, Indian Institute of Technology, (Banaras Hindu University))
Sarkar, A. (Department of Mechanical Engineering, Indian Institute of Technology, (Banaras Hindu University)) Deo, Anandita (School of Biomedical Engineering, Indian Institute of Technology, (Banaras Hindu University)) Gautam, Kirti (School of Biomedical Engineering, Indian Institute of Technology, (Banaras Hindu University)) Rai, S.K. (School of Biomedical Engineering, Indian Institute of Technology, (Banaras Hindu University)) |
1 | D.A. Gibbs, E.W. Merrill, K.A. Smith and E.A. Balazs, "Rheology of hyaluronic acid", Biopolymers, vol. 6, pp. 777-791, 1968. DOI |
2 | K. Pekkan, R. Nalim and H. Yokota, "Computed synovial fluid flow in a simple knee joint model", 4th Joint Fluids Summer Engineering Conference (FEDSM), pp. 2085-2091, 2003. |
3 | W. Weibull, "A statistical distribution function of wide applicability", J Appl Mech-T ASME, pp. 293-297, 1951. |
4 | W. Weibull, "A statistical distribution function of wide applicability", J Appl Mech-T ASME, pp. 233-234, 1952. |
5 | Y.C. Fung, Biomechanics, mechanical properties of living tissues. 2nd ed., New York: Springer-Verlag, 1993. |
6 | R.G. King, "A rheological measurement of three synovial fluids", Acta Rheol, vol. 5, pp. 41-44, 1966. DOI |
7 | J.V. Seguro and T.W. Lambert, "Modern estimation of the parameters of the weibull wind speed distribution for wind energy analysis", J Wind Eng Ind Aero, vol. 85, pp. 75-84, 2000. DOI |
8 | T.P. Chang, "Performance comparison of six numerical methods in estimating weibull parameters for wind energy application", Appl Energ, vol. 88, pp. 272-282, 2011. DOI |
9 | D.C. Montgomery and G.C. Runger, Applied statistics and probability for engineers. 3rd ed., New York: John Wiley and Sons, 2003. |
10 | X. Gao, J.A. Joyce and C. Roe, "An investigation of the loading rate dependence of the weibull stress parameters", Eng Frac Mech, vol. 75, pp. 1451-1467, 2008. DOI |
11 | A. Ghosh, "A fortran program for fitting Weibull distribution and generating samples", Comput Geosci, vol. 25, pp. 729-738, 1999. DOI |
12 | A.H.-SAng and W.H. Tang, Probability concepts in engineering planning and design vol I: basic principles, New York: John Wiley and Sons, 1975. |
13 | A.M. Razali, A.A. Salih and A.A. Mahdi, "Estimation accuracy of weibull distribution parameters", vol. 5, pp. 790-795, 2009. |
14 | P. Pustejovska, "Mathematical modeling of synovial fluids flow", in Proc.17th Annual conference of doctoral students, Week of doctoral students, Part III, pp. 32-37. |
15 | M.R. Spiegel, Schaum's outline of theory and problems of statistics 2nd ed, Singapore: McGraw-Hill, 1992. |
16 | A.H.-SAng and W.H. Tang, Probability Concepts in Engineering and Design Vol II: risk and reliability, New York: John Wiley and Sons, 1984. |
17 | G.J. Hahn and Shapiro, Statistical Models in Engineering, New York: John Wiley and Sons, 1967. |
18 | S.S. Wilks, "Order statistics", Bulletin of the American Mathematical Society, ch.5, pp. 6-50, 1948. |
19 | E.A. Balazs, "Viscoelastic properties of hyaluronic acid and biological lubrication", Univ Mich Med Cent J [Special Issue], pp. 255-259, 1968. |
20 | M.A. Al-Fawzan, Methods for estimating the parameters of the Weibull distribution, King Abdulaziz City for Science and Technology, Riyadh, Saudi Arabia, 2000. [Unpublished] |
21 | E.A. Balazs, Some aspects of the aging and radiation sensitivity of the intercellular matrix with special regard to hyaluronic acid in synovial fluid and vitreous, Thule International Symposium: Aging of connective and skeletal tissue, Engel A and Larsson T (eds.), Stockholm: Nordiska Bokhandelns Forlag, 1969. |
22 | E.A. Balazs and D.A. Gibbs, Chemistry and molecular biology of the intercellular matrix III, New York: Academic Press, 1970. |
23 | E.A. Balazs and D. Watson, "Hyaluronic acid in synovial fluid. I. Molecular parameters of hyaluronic acid in normal and arthritic human fluids", Arthritis Rheum, vol. 10, pp. 357-376, 1967. DOI |
24 | N.W. Rydell, "Decreased granulation tissue formation after installment of hyaluronic acid", Acta Orthop Scand, vol. 41, pp. 307-311, 1970. DOI |