Using mass measurements in tracer studies--a systematic approach to efficient modeling

Tracer enrichment data are fitted by multicompartmental models to estimate rate constants and fluxes or transport rates. In apolipoprotein turnover studies, mass measurements are also available, for example, apolipoprotein B levels in very low-density lipoprotein, intermediate-density lipoprotein, and low-density lipoprotein, and are often essential to calculate some of the rate constants. The usual method to use mass measurements is to estimate pool masses along with rate constants. A systematic alternative approach is developed to use flux balances around pools to express some rate constants in terms of the other rate constants and the measured masses. The resulting reduction in the number of parameters to be estimated makes the modeling more efficient. In models that would be unidentifiable without mass measurements, the usual approach and the proposed approach yield identical results. In a simple two-pool model, the number of unknown parameters is reduced from 4 to 2. In a published five-pool model for apolipoprotein B kinetics with three mass measurements, the number of parameters is reduced from 12 to 9. With m mass measurements, the number of responses to be fitted and the number of parameters to be estimated are each reduced by m, a simplification by 1/4 to 1/3 in a typical pool model. Besides a proportionate reduction in computational effort, there is a further benefit because the dimensionality of the problem is also decreased significantly, which means ease of convergence and a smaller likelihood of suboptimal solutions. Although our approach is conceptually straightforward, the dependencies get considerably more complex with increasing model size. To generate dependency definitions automatically, a Web-accessible program is available at http://biomath.info/poolfit/constraints.

Influence of atorvastatin and simvastatin on apolipoprotein B metabolism in moderate combined hyperlipidemic subjects with low VLDL and LDL fractional clearance rates

Subjects with moderate combined hyperlipidemia (n=11) were assessed in an investigation of the effects of atorvastatin and simvastatin (both 40 mg per day) on apolipoprotein B (apoB) metabolism. The objective of the study was to examine the mechanism by which statins lower plasma triglyceride levels. Patients were studied on three occasions, in the basal state, after 8 weeks on atorvastatin or simvastatin and then again on the alternate treatment. Atorvastatin produced significantly greater reductions than simvastatin in low density lipoprotein (LDL) cholesterol (49.7 vs. 44.1% decrease on simvastatin) and plasma triglyceride (46.4 vs. 39.4% decrease on simvastatin). ApoB metabolism was followed using a tracer of deuterated leucine. Both drugs stimulated direct catabolism of large very low density lipoprotein (VLDL(1)) apoB (4.52+/-3.06 pools per day on atorvastatin; 5.48+/-4.76 pools per day on simvastatin versus 2.26+/-1.65 pools per day at baseline (both P<0.05)) and this was the basis of the 50% reduction in plasma VLDL(1) concentration; apoB production in this fraction was not significantly altered. On atorvastatin and simvastatin the fractional transfer rates (FTR) of VLDL(1) to VLDL(2) and of VLDL(2) to intermediate density lipoprotein (IDL) were increased significantly, in the latter instance nearly twofold. IDL apoB direct catabolism rose from 0.54+/-0.30 pools per day at baseline to 1.17+/-0.87 pools per day on atorvastatin and to 0.95+/-0.43 pools per day on simvastatin (both P<0.05). Similarly the fractional transfer rate for IDL to LDL conversion was enhanced 58-84% by statin treatment (P<0.01) LDL apoB fractional catabolic rate (FCR) which was low at baseline in these subjects (0.22+/-0.04 pools per day) increased to 0.44+/-0.11 pools per day on atorvastatin and 0.38+/-0.11 pools per day on simvastatin (both P<0.01). ApoB-containing lipoproteins were more triglyceride-rich and contained less free cholesterol and cholesteryl ester on statin therapy. Further, patients on both treatments showed marked decreases in all LDL subfractions. In particular the concentration of small dense LDL (LDL-III) fell 64% on atorvastatin and 45% on simvastatin. We conclude that in patients with moderate combined hyperlipidemia who initially have a low FCR for VLDL and LDL apoB, the principal action of atorvastatin and simvastatin is to stimulate receptor-mediated catabolism across the spectrum of apoB-containing lipoproteins. This leads to a substantial, and approximately equivalent, percentage reduction in plasma triglyceride and LDL cholesterol.

The coffee diterpene cafestol increases plasma triacylglycerol by increasing the production rate of large VLDL apolipoprotein B in healthy normolipidemic subjects

BACKGROUND

Cafestol is a diterpene in unfiltered coffee that raises plasma triacylglycerol in humans.

OBJECTIVE

We studied whether cafestol increases plasma triacylglycerol by increasing the production rate or by decreasing the fractional catabolic rate of VLDL(1) [Svedberg flotation unit (S(f)) 60-400] apolipoprotein (apo) B. In addition, we studied the effect of cafestol on the composition of VLDL(1) and VLDL(2) (S(f) 20-60).

DESIGN

Eight healthy normolipidemic men were administered a daily dose of 75 mg cafestol for 2 wk. A bolus injection of 7 mg L-[5,5,5-(2)H(3)]leucine/kg body wt was given after a baseline period with no cafestol and again after treatment with cafestol. We derived kinetic constants to describe the metabolism of VLDL(1) apo B by using a multicompartmental model.

RESULTS

Cafestol significantly increased plasma triacylglycerol by 31% or 0.32 mmol/L (95% CI: 0.03, 0.61); the increase was due mainly to a nonsignificant rise in VLDL(1) triacylglycerol of 57% or 0.23 mmol/L (95% CI: -0.02, 0.48). Cafestol significantly increased the mean rate of VLDL(1) apo B production by 80% or 755 mg/d (95% CI: 0.2, 5353), whereas it did not significantly change the mean fractional catabolic rate of VLDL(1) apo B (mean increase of 3 pools/d; 95% CI: -4, 10]). Cafestol did not change the composition of VLDL(1). A significant increase in the ratio of VLDL(2) cholesteryl ester to triacylglycerol indicates that VLDL(2) became enriched with cholesteryl esters at the cost of triacylglycerol.

CONCLUSION

Cafestol increases plasma triacylglycerol by increasing the production rate of VLDL(1) apo B, probably via increased assembly of VLDL(1) in the liver.

Low-density lipoprotein-apolipoprotein B metabolism following apheresis: simulation studies of mass changes and tracer kinetics

Low-density lipoprotein (LDL) apheresis is an effective method to treat severe hyperlipoproteinemia such as heterozygous familial hypercholesterolemia (FH). It is unknown whether apheresis induces changes in metabolic parameters of LDL-apolipoprotein B (apoB) such as the fractional catabolic rate (FCR) or production rate. We performed simulation studies to determine the effect of potential changes in the LDL FCR on LDL-apoB mass and on exogenous and endogenous tracer studies. For these studies, we assumed a two-compartment LDL model and the following metabolic parameters: plasma LDL-apoB, 180 mg.dL(-1); LDL-apoB production rate, 36 mg.dL(-1).d(-1) (approximately 14.4 mg.kg(-1).d(-1)); and LDL-apo FCR, 0.2 d(-1). It was also assumed that apheresis instantaneously decreased the LDL-apoB concentration to 60 mg.dL(-1) and that LDL-apoB production was not perturbed. The simulations examined three possible outcomes: (1) no change in FCR, (2) a temporary doubling in FCR, and (3) a temporary tripling in FCR. Monoexponential models were fit to the rebound of LDL-apoB mass data generated using the different FCRs. In no instance did the FCR determined from the fit match the FCR used to generate the data; FCRs were either higher or lower than the original FCR used to generate the data. Simulations of the kinetics of exogenously labeled LDL showed that if apheresis was performed on day 7 of a turnover study, it would be possible to detect large changes in LDL-apoB FCR. In contrast, during an endogenous labeling study, potential increases in FCR induced by apheresis may not be detected. However, our simulations do show that endogenous labeling studies performed before and after apheresis should yield data that will permit detection of changes in the FCR. Thus, these studies indicate that large differences in the LDL-apoB FCR induced by apheresis can be detected by either an exogenous tracer experiment perturbed by apheresis or by endogenous labeling experiments performed before and after apheresis. Small changes in the FCR that may be induced by apheresis will probably be indistinguishable from experimental noise.

Isotope ratio mass spectrometry, compared with conventional mass spectrometry in kinetic studies at low and high enrichment levels: application to lipoprotein kinetics

The aim of the present study was to compare the performances of gas chromatography/mass spectrometry (GC/MS) and gas chromatography/combustion/isotope ratio mass spectrometry (GC/C/IRMS) in stable isotope kinetic studies. In the analysis of cholesterol and leucine, GC/C/IRMS gave precise and linear results over a large scale of 13C enrichment (-22 to +760 delta/1000 for cholesterol, -26 to +600 delta/1000 for leucine). Compared with GC/MS, GC/C/IRMS was much more accurate and reproducible, especially at low [13C]-cholesterol enrichment (-12 delta/1000), with cholesterol samples ranging from 0.11 to 17 ng. Cholesterol ester kinetics in rabbit plasma low-density lipoproteins was studied after injection of 3 mg [3,4-(13)C]cholesterol. A smooth and regular kinetic curve was obtained with GC/C/IRMS; results were much less reproducible with GC/MS. Finally, the performances of GC/C/IRMS were demonstrated in the simultaneous kinetic study of three human plasma apolipoproteins during a primed constant infusion of 0.7 mg.kg-1.h-1 L-[l-13C]leucine. Kinetic curves were obtained in very-low-density lipoproteins and low-density lipoproteins for apolipoprotein B100, and in high-density lipoproteins for apolipoproteins AI and AIL.

The role of stable isotopes in the investigation of plasma lipoprotein metabolism

The last 5 years have seen promising beginnings of the application of stable-isotope-based methods to the study of lipoprotein metabolism. Many aspects of plasma lipid transport make it an attractive system for investigating by this means. While early efforts borrowed from standard techniques of generating and interpreting kinetic parameters (FSRs), the shortcomings of these procedures as applied to lipoproteins are now appreciated. Lipoprotein heterogeneity requires that multicompartmental analysis and relatively long-term studies be employed if the information obtained is going to be a useful adjunct to that produced by radio-iodinated lipoprotein tracers. Both approaches-stable-isotope-labeled endogenous tracer and ex vivo radio-iodinated lipoprotein experiments--must be considered complementary. The first provides direct information on lipoprotein synthesis pathways while the latter is superior at following interconversions and catabolic events. Excellent agreement has been demonstrated where the methods have been used simultaneously to estimate the same kinetic parameter. Many of the questions that have arisen from decades of radioactive tracer studies relate to the nature and rate of lipoprotein synthesis, e.g. what kinds of particles are produced by the liver when different diets are taken, and how are the synthetic pathways altered in dyslipidaemic states? Endogenous tracers can address these issues, and methods are presently available which provide the means for measuring the production of all apolipoproteins and for estimating cholesterol and fatty acid biosynthesis. When techniques are developed to examine triglyceride, cholesteryl ester and phospholipid production then a much clearer picture of how lipoproteins are assembled in vivo will emerge. This kind of information will be essential to an understanding of regulation of plasma lipid transport and the subtle changes that occur in those at risk for coronary heart disease.