메뉴 건너뛰기




Volumn 21, Issue 1, 2012, Pages 42-56

Penalized nonlinear least squares estimation of time-varying parameters in ordinary differential equations

Author keywords

Dynamic models; Function estimation; Penalized splines

Indexed keywords


EID: 84859854037     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/jcgs.2011.10021     Document Type: Article
Times cited : (33)

References (15)
  • 2
    • 36049040314 scopus 로고    scopus 로고
    • Parameter cascades and profiling in functional data analysis
    • 48
    • Cao, J., and Ramsay, J. O. (2007), "Parameter Cascades and Profiling in Functional Data Analysis," Computational Statistics, 22, 335-351. [48]
    • (2007) Computational Statistics , vol.22 , pp. 335-351
    • Cao, J.1    Ramsay, J.O.2
  • 3
    • 42349101913 scopus 로고    scopus 로고
    • Efficient local estimation for time-varying coefficients in deterministic dynamic models with applications to hiv-1 dynamics
    • 43,44,49
    • Chen, J., and Wu, H. (2008), "Efficient Local Estimation for Time-Varying Coefficients in Deterministic Dynamic Models With Applications to HIV-1 Dynamics," Journal of the American Statistical Association, 103, 369- 383. [43,44,49]
    • (2008) Journal of the American Statistical Association , vol.103 , pp. 369-383
    • Chen, J.1    Wu, H.2
  • 4
    • 0016894740 scopus 로고
    • A review of least-squares methods for solving partial differential equations
    • 45
    • Eason, E. D. (1976), "A Review of Least-Squares Methods for Solving Partial Differential Equations," International Journal for Numerical Methods in Engineering, 10, 1021-1046. [45]
    • (1976) International Journal for Numerical Methods In Engineering , vol.10 , pp. 1021-1046
    • Eason, E.D.1
  • 5
    • 25444532788 scopus 로고    scopus 로고
    • Flexible smoothing with b-splines and penalties
    • with discussion, 44
    • Eilers, P., and Marx, B. (1996), "Flexible Smoothing With B-Splines and Penalties" (with discussion), Statistical Science, 89, 89-121. [44]
    • (1996) Statistical Science , vol.89 , pp. 89-121
    • Eilers, P.1    Marx, B.2
  • 6
    • 1642285007 scopus 로고    scopus 로고
    • Bayesian experimental design for nonlinear mixed-effects models with application to HIV dynamics
    • 49
    • Han, C., and Chaloner, K. (2004), "Bayesian Experimental Design for Nonlinear Mixed-Effects Models With Application to HIV Dynamics," Biometrics, 60, 25-33. [49]
    • (2004) Biometrics , vol.60 , pp. 25-33
    • Han, C.1    Chaloner, K.2
  • 7
    • 0028874048 scopus 로고
    • Rapid turnover of plasma virions and cd4 lymphocytes in HIV-1 infection
    • 42
    • Ho, D. D., Neumann, A. U., Perelson, A. S., Chen, W., Leonard, J. M., and Markowitz, M. (1995), "Rapid Turnover of Plasma Virions and CD4 Lymphocytes in HIV-1 Infection," Nature, 374, 123-126. [42]
    • (1995) Nature , vol.374 , pp. 123-126
    • Ho, D.D.1    Neumann, A.U.2    Perelson, A.S.3    Chen, W.4    Leonard, J.M.5    Markowitz, M.6
  • 8
    • 33745245700 scopus 로고    scopus 로고
    • Hierachical bayesian methods for estimation of parameters in a longitudinal HIV dynamic system
    • 44
    • Huang, Y., Liu, D., and Wu, H. (2006), "Hierachical Bayesian Methods for Estimation of Parameters in a Longitudinal HIV Dynamic System," Biometrics, 62, 413-423. [44]
    • (2006) Biometrics , vol.62 , pp. 413-423
    • Huang, Y.1    Liu, D.2    Wu, H.3
  • 9
    • 77953301486 scopus 로고    scopus 로고
    • Parameter estimation for differential equation models using a framework of measurement error in regression models
    • 44
    • Liang, H., and Wu, H. (2008), "Parameter Estimation for Differential Equation Models Using a Framework of Measurement Error in Regression Models," Journal of the American Statistical Association, 103, 1570-1583. [44]
    • (2008) Journal of the American Statistical Association , vol.103 , pp. 1570-1583
    • Liang, H.1    Wu, H.2
  • 10
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • 48
    • Nelder, J., and Mead, R. (1965), "A Simplex Method for Function Minimization," Computer Journal, 7, 308-313. [48]
    • (1965) Computer Journal , vol.7 , pp. 308-313
    • Nelder, J.1    Mead, R.2
  • 11
    • 0029967721 scopus 로고    scopus 로고
    • HIV-1 dynamics in vivo: Virion clearance rate, infected cell life-span, and viral generation time
    • 49
    • Perelson, A. S., Neumann, A. U., Markowitz, M., Leonard, J. M., and Ho, D. D. (1996), "HIV-1 Dynamics in vivo: Virion Clearance Rate, Infected Cell Life-Span, and Viral Generation Time," Science, 271, 1582-1586. [49]
    • (1996) Science , vol.271 , pp. 1582-1586
    • Perelson, A.S.1    Neumann, A.U.2    Markowitz, M.3    Leonard, J.M.4    Ho, D.D.5
  • 12
    • 35648981518 scopus 로고    scopus 로고
    • Parameter estimation for differential equations: A generalized smoothing approac
    • with discussion, 44,48
    • Ramsay, J. O., Hooker, G., Campbell, D., and Cao, J. (2007), "Parameter Estimation for Differential Equations: A Generalized Smoothing Approach" (with discussion), Journal of the Royal Statistical Society, Ser. B, 69, 741-796. [44,48]
    • (2007) Journal of the Royal Statistical Society, Ser. B , vol.69 , pp. 741-796
    • Ramsay, J.O.1    Hooker, G.2    Campbell, D.3    Cao, J.4
  • 15
    • 16344394559 scopus 로고    scopus 로고
    • Statistical Methods for HIV Dynamic Studies in AIDS Clinical Trials
    • 42
    • Wu, H. (2005), "Statistical Methods for HIV Dynamic Studies in AIDS Clinical Trials," Statistical Methods in Medical Research, 14, 171-192. [42]
    • (2005) Statistical Methods in Medical Research , vol.14 , pp. 171-192
    • Wu, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.