Efficient exponential regression with exact fiducial limits to fit cardiac pressure data

Computer Methods and Programs in Biomedicine

Volumn 53, Issue 1, 1997, Pages 57-64

  Langer, Stefan F J ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

algorithms; computer program; curve fitting; myocardial contraction; non linear regression; regression analysis

Indexed keywords

ALGORITHMS; PARAMETER ESTIMATION; PASCAL (PROGRAMMING LANGUAGE); REGRESSION ANALYSIS; SUBROUTINES;

CARDIAC PRESSURE DATA; EXPONENTIAL REGRESSION;

CARDIOLOGY;

ALGORITHM; ARTICLE; HEART CONTRACTION;

HEART; HUMANS; REGRESSION ANALYSIS; SOFTWARE; VENTRICULAR PRESSURE;

EID: 0031149203     PISSN: 01692607     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-2607(97)01802-6     Document Type: Article

References (13)

1. [1] J.M. Chambers, Fitting nonlinear models: numerical techniques. Biometrika 60 (1973) 1 13, 669 (Correction).
2. [2] A.R. Walmsley and A.G. Lowe, Multifit: a flexible nonlinear least-squares regression program in BASIC, Comput. Methods Programs Biomed. 21 (1985) 113-118.
3. [3] A. Johnston, SIMP: a computer program in BASIC for nonlinear curve fitting, J. Pharmacol. Methods 14 (1985) 323-329.
4. [4] W.L. Stevens. Asymptotic regression, Biometrics 7 (1951) 247-267.
5. [5] H.J. Motulsky and L.A. Ransnas. Fitting curves to data using nonlinear regression: a practical and nonmathematical review, FASEB J. 1 (1987) 365-374.
6. [6] W.H. Press, B.P. Flannery, S.A. Teukolsky and W.T. Vetterling. Numerical Recipes. The Art of Scientific Computing, (Cambridge University Press, Cambridge, 1986).
7. [7] F.J. Williams. Exact fiducial limits in non-linear estimation. J. R. Stat. Soc. Ser. B 24 (1962) 125-139.
8. [8] R.W. Hiorns, The fitting of growth and allied curves of the asymptotic type by Stevens's method. Tracts for Computers No. XXVIII. ed. M.S. Bartlett (Cambridge University Press. Cambridge, 1965).
9. [9] S.F.J. Langer and H.D. Schmidt, Bestimmung der linksventrikulären Relaxation bei isoliert arbeitenden Ratten-und Meerschweinchenherzen [abstract]. Zeitschrift für Kardiologie, German J. Cardiol. Suppl. 1, 84 (1995) 56.
10. [10] D.J. Finney, The efficiencies of alternative estimators for an asymptotic regression equation. Biometrika 45 (1958) 370-388.
11. [11] J.A. Nelder and R. Mead. A simplex method for function minimization, Comput. J. 7 (1965) 308-313.
12. [12] F.M.L. Beale. Confidence regions in non-linear estimation. J. R. Stat. Soc. Ser. B 22 (1960) 41-76.
13. [13] F.S. Keeping, A significance test for exponential regression, Ann. Math. Stat. 22 (1951) 180-198.