Abstract

CONSIDERABLE EFFORT HAS GONE INTO DEVELOPING THE BASIC QUANTITATIVE THEORY FOR COMPARTMENTAL SYSTEMS WITH TIME LAGS, FOR LINEAR AND FOR NONLINEAR COMPARTMENTAL SYSTEMS. WE HAVE SHOWN THAT THERE IS A BROAD CLASS OF COMPARTMENTAL SYSTEMS WITH LAGS FOR WHICH THE DISTRIBUTION FUNCTIONS FOR CONTINUOUS LAG DISTRIBUTIONS ARE THEMSELVES GENERATED BY COMPARTMENTAL SYSTEMS WITHOUT LAGS. FOR SUCH SYSTEMS, THE GENERAL THEORY IS THE SAME AS THAT FOR SYSTEMS WITH LAGS. [JACQUEZ, JA AND CP SIMON. SIAM REV. 35:43-79, 1993]. WORK CONTINUED ON THIS PROJECT IN THE CURRENT YEAR, AND WAS PRESENTED AT A CONFERENCE ON DIFFERENTIAL EQUATIONS HELD IN CLAREMONT, CA IN JUNE, 1995.

  Funding Agency

Agency
National Institute of Health (NIH)
Institute
National Center for Research Resources (NCRR)
Type
Biotechnology Resource Grants (P41)
Project #
5P41RR002176-10
Application #
5223828
Study Section
Project Start
Project End
Budget Start
Budget End
Support Year
10
Fiscal Year
1996
Total Cost
Indirect Cost

  Publications

Wolfe, B M; Barrett, P H; Laurier, L et al. (2000) Effects of continuous conjugated estrogen and micronized progesterone therapy upon lipoprotein metabolism in postmenopausal women. J Lipid Res 41:368-75
Vicini, P; Zachwieja, J J; Yarasheski, K E et al. (1999) Glucose production during an IVGTT by deconvolution: validation with the tracer-to-tracee clamp technique. Am J Physiol 276:E285-94
Parhofer, K G; Barrett, P H; Schwandt, P (1999) Low density lipoprotein apolipoprotein B metabolism: comparison of two methods to establish kinetic parameters. Atherosclerosis 144:159-66
Vicini, P; Caumo, A; Cobelli, C (1999) Glucose effectiveness and insulin sensitivity from the minimal models: consequences of undermodeling assessed by Monte Carlo simulation. IEEE Trans Biomed Eng 46:130-7
Burnett, J R; Wilcox, L J; Telford, D E et al. (1999) The magnitude of decrease in hepatic very low density lipoprotein apolipoprotein B secretion is determined by the extent of 3-hydroxy-3-methylglutaryl coenzyme A reductase inhibition in miniature pigs. Endocrinology 140:5293-302
Vicini, P; Cobelli, C (1999) A priori identifiability of distributed models of blood-tissue exchange. Ann Biomed Eng 27:200-7
Cobelli, C; Caumo, A; Omenetto, M (1999) Minimal model SG overestimation and SI underestimation: improved accuracy by a Bayesian two-compartment model. Am J Physiol 277:E481-8
Lamarche, B; Uffelman, K D; Steiner, G et al. (1998) Analysis of particle size and lipid composition as determinants of the metabolic clearance of human high density lipoproteins in a rabbit model. J Lipid Res 39:1162-72
Audoly, S; D'Angio, L; Saccomani, M P et al. (1998) Global identifiability of linear compartmental models--a computer algebra algorithm. IEEE Trans Biomed Eng 45:36-47
Burnett, J R; Barrett, P H; Vicini, P et al. (1998) The HMG-CoA reductase inhibitor atorvastatin increases the fractional clearance rate of postprandial triglyceride-rich lipoproteins in miniature pigs. Arterioscler Thromb Vasc Biol 18:1906-14

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