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Dodds MG, Hooker AC, Vicini P. Robust population pharmacokinetic experiment design. J Pharmacokinet Pharmacodyn 2006; 32:33-64. [PMID: 16205840 DOI: 10.1007/s10928-005-2102-z] [Citation(s) in RCA: 42] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/10/2003] [Accepted: 02/23/2005] [Indexed: 10/25/2022]
Abstract
The population approach to estimating mixed effects model parameters of interest in pharmacokinetic (PK) studies has been demonstrated to be an effective method in quantifying relevant population drug properties. The information available for each individual is usually sparse. As such, care should be taken to ensure that the information gained from each population experiment is as efficient as possible by designing the experiment optimally, according to some criterion. The classic approach to this problem is to design "good" sampling schedules, usually addressed by the D-optimality criterion. This method has the drawback of requiring exact advanced knowledge (expected values) of the parameters of interest. Often, this information is not available. Additionally, if such prior knowledge about the parameters is misspecified, this approach yields designs that may not be robust for parameter estimation. In order to incorporate uncertainty in the prior parameter specification, a number of criteria have been suggested. We focus on ED-optimality. This criterion leads to a difficult numerical problem, which is made tractable here by a novel approximation of the expectation integral usually solved by stochastic integration techniques. We present two case studies as evidence of the robustness of ED-optimal designs in the face of misspecified prior information. Estimates from replicate simulated population data show that such misspecified ED-optimal designs recover parameter estimates that are better than similarly misspecified D-optimal designs, and approach estimates gained from D-optimal designs where the parameters are correctly specified.
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Affiliation(s)
- Michael G Dodds
- Resource Facility for Population Kinetics, Department of Bioengineering, University of Washington, Box 352255, Seattle 98195-2255, WA, USA
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2
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Weryński A, Nahorski Z, Berglund L, Ericsson S, Angelin B, Eriksson M. Evidence of circadian rhythm in low-density lipoprotein apoB catabolism and its impact on the estimation of kinetic parameters. Eur J Clin Invest 1999; 29:291-300. [PMID: 10231341 DOI: 10.1046/j.1365-2362.1999.00453.x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
BACKGROUND Compartmental models with constant parameters are commonly used in kinetic analysis of low-density lipoproteins (LDLs). Recent studies in animals have demonstrated the existence of circadian rhythms (CRs) in cholesterol synthesis and LDL catabolism. In this study, we investigated the possible existence of a CR in the fractional catabolic rate (FCR) of LDL apoB in man. MATERIALS AND METHODS Radioactivity data from 45 turnover studies using 125I-labelled LDL apoB were analysed. In a preliminary analysis the pattern of radioactivity decay was investigated. Kinetic analysis was performed by using one- and two-compartment models with constant parameters (steady-state, SS, analysis). Parameters were estimated by the use of the whole data set, which included frequent sampling during the first day of the turnover study, or the once-a-day data, taken at 08.00 h. The selection of once-a-day data allowed elimination of the impact of a CR on parameter evaluation. Furthermore, non-steady-state (NSS) analysis was performed in which the FCR of LDL apoB was calculated as a function of time. In one additional subject, the FCR of LDL apoB was calculated separately for the day and the night using the urine-to-plasma (U/P) radioactivity ratio. RESULTS The presence of a CR in LDL apoB catabolism, with higher FCR values during the day than during the morning, was demonstrated by the NSS analysis and confirmed by LDL apoB calculation from the U/P ratio. The SS analysis with the whole and the once-a-day data sets resulted in similar average FCR of apoB values (0.329 +/- 0.076 and 0.321 +/- 0.071 respectively) when the two-compartment model was used. Thus, a CR appeared to have little impact on the average FCR of apoB estimation. However, frequent sampling used in the hope of improving parameter estimation accuracy actually resulted in deterioration of the intercompartmental parameter estimators. CONCLUSION The fractional catabolic rate of LDL apoB exhibited a circadian rhythm with higher FCR values during the day than during the morning. The presence of a CR had, however, a limited impact on the overall FCR of apoB values.
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Affiliation(s)
- A Weryński
- Polish Academy of Sciences, Warsaw, Poland
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Karhapää P, Voutilainen E, Kovanen PT, Laakso M. Insulin resistance in familial and nonfamilial hypercholesterolemia. ARTERIOSCLEROSIS AND THROMBOSIS : A JOURNAL OF VASCULAR BIOLOGY 1993; 13:41-7. [PMID: 8422339 DOI: 10.1161/01.atv.13.1.41] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Abstract
High levels of very low density lipoprotein triglycerides and low levels of high density lipoprotein cholesterol have been found to be associated with insulin resistance measured by the euglycemic clamp technique. In contrast, the association of isolated hypercholesterolemia with insulin resistance has not been systematically studied. Therefore, we performed two separate studies designed to investigate the degree of insulin resistance in familial hypercholesterolemia (FH) (study 1) and nonfamilial hypercholesterolemia (non-FH) (study 2). Study 1 included eight young adults with FH and 13 corresponding control subjects. Fasting blood glucose, insulin, and C-peptide levels were similar in FH patients and control subjects during an oral glucose tolerance test. During the euglycemic hyperinsulinemic (1,200-1,300 pmol/l) clamp studies, FH patients and control subjects had similar rates of whole-body glucose uptake (73 +/- 6 versus 70 +/- 3 mumol/kg per minute, respectively; p = NS). Glucose oxidation, glucose nonoxidation, lipid oxidation, suppression of free fatty acid levels, and potassium disposal were similar in both groups. Study 2 included 25 middle-aged non-FH patients and 18 corresponding control subjects. Glucose, insulin, and C-peptide responses in an oral glucose tolerance test were similar in both groups. During the euglycemic hyperglycemic clamp studies, non-FH patients and control subjects had similar rates of whole-body glucose uptake (61 +/- 3 versus 58 +/- 3 mumol/kg per minute, p = NS). In addition, glucose oxidation, glucose nonoxidation, lipid oxidation, and suppression of free fatty acid levels as well as potassium disposal were similar in non-FH patients and control subjects. We conclude that FH and non-FH are not insulin-resistant states.
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Affiliation(s)
- P Karhapää
- Department of Medicine, Kuopio University Hospital, Finland
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Bierman EL. George Lyman Duff Memorial Lecture. Atherogenesis in diabetes. ARTERIOSCLEROSIS AND THROMBOSIS : A JOURNAL OF VASCULAR BIOLOGY 1992; 12:647-56. [PMID: 1591228 DOI: 10.1161/01.atv.12.6.647] [Citation(s) in RCA: 274] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/27/2022]
Affiliation(s)
- E L Bierman
- Department of Medicine, University of Washington, Seattle 98195
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Affiliation(s)
- A Chait
- Department of Medicine, University of Washington, Seattle
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Eriksson M, Berglund L, Rudling M, Henriksson P, Angelin B. Effects of estrogen on low density lipoprotein metabolism in males. Short-term and long-term studies during hormonal treatment of prostatic carcinoma. J Clin Invest 1989; 84:802-10. [PMID: 2760213 PMCID: PMC329722 DOI: 10.1172/jci114239] [Citation(s) in RCA: 71] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023] Open
Abstract
To characterize the effects of estrogen treatment on the metabolism of LDL we studied six males with metastatic prostatic carcinoma before and during the initiation of therapy; a repeated study was performed in five participants after 3-6 mo of treatment. The fractional catabolic rate (FCR) of autologous 125I-LDL was calculated both from elimination curves of plasma radioactivity and from urine/plasma (U/P) radioactivity ratios. Within 1-2 d of onset of estrogen therapy a more rapid decay of plasma radioactivity occurred, and FCR measured from U/P ratios increased by 20%. Concomitantly, LDL cholesterol levels decreased by 16%. After 3-6 mo of treatment FCR determined by both techniques was almost doubled, and LDL cholesterol was reduced by 34%. This occurred despite a 29% increase in the calculated synthesis rate of LDL. Tissue culture studies demonstrated that the receptor affinity of LDL isolated from patients on long-term estrogen therapy was reduced. We conclude that a profound increase in LDL catabolism is induced through administration of pharmacological doses of estrogen in males, and hypothesize that this is the consequence of an increased expression of hepatic LDL receptors. This enhanced catabolism of LDL leaves LDL particles in plasma with lower affinity for the LDL receptor.
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Affiliation(s)
- M Eriksson
- Department of Medicine, Karolinska Institute, Huddinge, Sweden
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Reaven GM, Chen YD. Role of insulin in regulation of lipoprotein metabolism in diabetes. DIABETES/METABOLISM REVIEWS 1988; 4:639-52. [PMID: 3069396 DOI: 10.1002/dmr.5610040703] [Citation(s) in RCA: 114] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Affiliation(s)
- G M Reaven
- Department of Medicine, Stanford University School of Medicine, Palo Alto, California
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Levy Y, Shils ME, McNamara DJ, Shike M. Serum lipoproteins in home total parenteral nutrition patients. JPEN J Parenter Enteral Nutr 1987; 11:471-4. [PMID: 3116293 DOI: 10.1177/0148607187011005471] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Abstract
Patients maintained in our home total parenteral nutrition (HTPN) program receive very small amounts of cholesterol in their solutions. Because of the severe intestinal insufficiency which is characteristic of this group, they do not absorb significant amounts of cholesterol or bile salts from their intestines. We investigated the serum lipoproteins in nine patients maintained on HTPN for 36 +/- 4 (mean +/- SEM) months. Fat emulsions were given twice a week as a source of essential fatty acids. Mean serum cholesterol 110 +/- 6.5 mg/dl, LDL-cholesterol 75 +/- 6 mg/dl, and HDL-cholesterol 29 +/- 1 mg/dl, were at or below the 5th percentile compared with age- and sex-matched Lipid Research Clinic controls. HDL-cholesterol to serum cholesterol ratio was in the normal range (0.25 +/- 0.30). The mean serum cholesterol did not rise, but the mean serum triglyceride rose significantly from 72 +/- 4 to 104 +/- 16 mg/dl (p less than 0.05) immediately after completion of TPN infusions with fat emulsions. There was a negative correlation between the length of HTPN therapy and the total serum cholesterol (r = 0.43, p less than 0.05). Thus, HTPN patients have markedly depressed concentrations of total serum cholesterol, LDL-cholesterol, and HDL-cholesterol, but the ratio of HDL cholesterol to total serum cholesterol is in the normal range.
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Affiliation(s)
- Y Levy
- Nutrition Service, Memorial Sloan-Kettering Cancer Center, New York, NY 10021
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Kissebah AH. Low density lipoprotein metabolism in non-insulin-dependent diabetes mellitus. DIABETES/METABOLISM REVIEWS 1987; 3:619-51. [PMID: 3301236 DOI: 10.1002/dmr.5610030302] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
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Tashiro T, Mashima Y, Yamamori H, Okui K. Alteration of lipoprotein profile during total parenteral nutrition with intralipid 10%. JPEN J Parenter Enteral Nutr 1986; 10:622-6. [PMID: 3099006 DOI: 10.1177/0148607186010006622] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Abstract
Eight patients were studied for lipoprotein profiles over a period of 3-7 weeks. Four patients received total parenteral nutrition (TPN), including 1000 ml/day of Intralipid 10%. Three patients received fat-free TPN, and one patient was tube fed 1000 ml/day of Intralipid 10% enterally. Fat-free TPN lowered plasma lipid, especially low density lipoprotein (LDL) and high density lipoproteins (HDL). On the other hand, intravenous administration of Intralipid 10% caused a marked increase of LDL, together with increases of phospholipid and cholesterol, especially free cholesterol. Triglyceride, VLDL, and HDL remained within the normal range in this group. Enteral administration of the same amount of Intralipid 10% did not cause a rise of LDL. Lipid composition of the increased LDL approximated that of lipoprotein X with the intravenous Intralipid 10%. From these findings, we suggest that phospholipids in Intralipid 10% formed abnormal LDL as the result of mobilization of cholesterol from extravascular tissues, when administered intravenously.
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Yki-Järvinen H, Taskinen MR, Koivisto VA, Nikkilä EA. Response of adipose tissue lipoprotein lipase activity and serum lipoproteins to acute hyperinsulinaemia in man. Diabetologia 1984; 27:364-9. [PMID: 6389242 DOI: 10.1007/bf00304851] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 01/20/2023]
Abstract
In order to assess the short-term effects of hyperinsulinaemia and hyperglycaemia on adipose tissue lipoprotein lipase activity and on serum lipoproteins, we measured these variables in ten normal subjects during euglycaemic and hyperglycaemic hyperinsulinaemic clamps. The mean steady-state plasma glucose and insulin concentrations, respectively, were 4.7 mmol/l and 101 mU/l during euglycaemic moderate-insulin clamp, 4.9 mmol/l and 565 mU/l during euglycaemic high-insulin clamp, and 8.8 mmol/l and 148 mU/l during hyperglycaemic clamp. Saline infusion was used as control. The adipose tissue lipoprotein lipase activity rose significantly over 5 h during high-insulin clamp (p less than 0.01) and during hyperglycaemic clamp (p less than 0.05), but did not change during the moderate-insulin clamp. The magnitude of change of lipoprotein lipase activity from baseline (either rise or fall) was inversely related to the preclamp activity during euglycaemic moderate-insulin clamp (r = -0.67), during hyperglycaemic clamp (r = -0.68) and during infusion of saline (r = -0.75, p less than 0.05). Total serum triglyceride concentration decreased significantly during all clamp studies compared with the control experiment. This change was mainly accounted for by a decrease of VLDL triglyceride. The LDL cholesterol level fell by an average of 5% (p less than 0.05) during the high-insulin clamp and by 10% (p less than 0.05) during the hyperglycaemic clamp. The HDL cholesterol level did not change significantly. It is concluded that adipose tissue lipoprotein lipase activity in man is increased by physiological insulin levels during hyperglycaemia and also by supraphysiological insulin levels during euglycaemia, but is not influenced by physiological hyperinsulinaemia without hyperglycaemia.(ABSTRACT TRUNCATED AT 250 WORDS)
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Kissebah AH, Alfarsi S, Evans DJ, Adams PW. Plasma low density lipoprotein transport kinetics in noninsulin-dependent diabetes mellitus. J Clin Invest 1983; 71:655-67. [PMID: 6338042 PMCID: PMC436915 DOI: 10.1172/jci110812] [Citation(s) in RCA: 69] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023] Open
Abstract
Plasma low density lipoprotein (LDL) transport kinetics were determined from the disappearance of 125I-LDL injected into age- and weight-matched groups of 13 normal subjects, 20 mild diabetics, and 8 moderately severe diabetic patients (fasting plasma glucose less than 150 and greater than 150 mg/100 ml, respectively). In mild diabetics, LDL apo-lipoprotein-B (apo-B) synthetic rate (SR) was significantly greater than normal. The fractional catabolic rate (FCR), however, was also increased so that plasma LDL concentration remained normal. In moderately severe diabetics, LDL SR was normal but FCR was reduced resulting in increased plasma LDL cholesterol and apo-B concentrations. In normal subjects, moderate obesity was associated with increased LDL secretion. In diabetic subjects, however, changes in LDL turnover were of equal magnitude in obese and nonobese patients. In normolipemic and hyperlipemic mild diabetic subjects with equal degrees of glucose intolerance, both LDL apo-B SR and FCR were greater than normal. The magnitude of these increases, however, was lower in the hyperlipemic individuals. Stepwise regression analysis revealed that both LDL SR and FCR correlated positively and linearly with insulin response to glucose loading, but negatively and curvilinearly with fasting plasma glucose and glucose response. We propose that in noninsulin-dependent diabetes, mild hyperglycemia is accompanied by increased LDL turnover, despite normal plasma LDL levels, whereas moderately severe hyperglycemia is associated with decreased LDL catabolism, resulting in increased plasma LDL levels. These changes cannot be attributed to the presence of obesity or hypertriglyceridemia, and may relate to varying degrees of insulin resistance and decreased insulin secretion affecting plasma very low density lipoprotein (VLDL) secretion, VLDL conversion to LDL, and LDL catabolism. Both increased LDL turnover in mild diabetes and delayed removal of LDL in moderately severe diabetes could increase cholesterol ester availability to peripheral tissues, and may result in an increased risk of atherosclerosis.
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