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Minimal Model (minimal + model)
Selected AbstractsMinor long-term changes in weight have beneficial effects on insulin sensitivity and ,-cell function in obese subjectsDIABETES OBESITY & METABOLISM, Issue 1 2002A. M. Rosenfalck SUMMARY Aim To evaluate the long-term effect of changes in body composition induced by weight loss on insulin sensitivity (SI), non-insulin mediated glucose disposal, glucose effectiveness (SG) and ,-cell function. Design Glucose metabolism was evaluated before and after participation in a two-year weight loss trial of Orlistat vs. placebo, combined with an energy and fat restricted diet. Subjects Twelve obese patients (11 women, 1 man), age 45.8 ± 10.5 years, body weight (BW) 99.7 ± 13.3 kg, BMI 35.3 ± 2.8 kg/m2. Measurements At inclusion and 2 years later an oral glucose tolerance test (OGTT) and a frequently sampled intravenous glucose tolerance test (FSIGT) were performed. Body composition was estimated by a dual-energy X-ray absorptiometry (DXA) whole body scanning. Results The patients obtained varying changes in BW ranging from a weight loss of 17.8 kg to a weight gain of 6.0 kg. Corresponding changes in fat mass (FM) varied from a 40% reduction to a 19% increase. A significant decrease in both fasting (p =,0.038) and 2 h (p =,0.047) blood glucose at OGTT was found. The improvement in insulin sensitivity (SI) estimated by means of Bergmans Minimal Model, was significantly and linearly correlated to change in total FM (r = , 0.83, p =,0.0026). A multiple regression analysis showed that changes in truncal FM was the strongest predictor of change in SI explaining 67% of the variation. First phase insulin response (AIRg) remained unchanged whereas insulin disposition index increased significantly (p =,0.044). At inclusion five patients had impaired glucose tolerance of which four, who lost weight, were normalized at the retest 2 years later. Conclusion In obese subjects long-term minimal or moderate changes in weight were found to be linearly associated with changes in insulin sensitivity. In obese subjects with impaired glucose tolerance even a minor weight loss was able to normalize glucose tolerance. [source] Models of non-smooth switches in electrical systemsINTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, Issue 3 2005Christoph Glocker Abstract Idealized modelling of diodes, relays and switches in the framework of linear complementarity is introduced. Within the charge approach, the classical electromechanical analogy is extended to passively and actively switching components in electrical circuits. The associated branch relations are expressed in terms of set-valued functions, which allow to formulate the circuit's dynamic behaviour as a differential inclusion. This approach is demonstrated by the example of the DC,DC buck converter. A difference scheme, known in mechanics as time stepping, is applied for numerical approximation of the evolution problem. The discretized inclusions are formulated as a linear complementarity problem in standard form, which implicitly takes care of all switching events by its solution. State reduction, which requires manipulation of the set-valued branch relations in order to obtain a minimal model, is performed on the example of the buck converter. Copyright © 2005 John Wiley & Sons, Ltd. [source] Portal-systemic shunting in patients with fibrosis or cirrhosis due to chronic hepatitis C: the minimal model for measuring cholate clearances and shuntALIMENTARY PHARMACOLOGY & THERAPEUTICS, Issue 3 2007G. T. EVERSON Summary Background, Measurement of portal inflow and portal-systemic shunt using cholate clearances could be useful in monitoring patients with liver disease. Aim, To examine relationships of cholate clearances and shunt to cirrhosis and varices and to define minimal sampling requirements. Methods, Five hundred forty-eight studies were performed in 282 patients enrolled in the Hepatitis C Antiviral Long-term Treatment to prevent Cirrhosis (HALT-C) trial. Stable, non-radioactive isotopes of cholate were administered intravenously and orally, clearances (Cliv and Cloral) were calculated from [dose/area under curve (AUC)] and cholate shunt from [(AUCoral:AUCiv) x (Doseiv:Doseoral) x 100%]. Results, Cholate Cloral and cholate shunt correlated with prevalences of both cirrhosis and varices (P < 0.0001 for all). Peripheral venous sampling at 5, 20, 45, 60 and 90 min defined the minimal model. Linear regression of cholate shunt determined from five points within 90 min vs. the standard method of 14 points over 3 h yielded slope of 1.0 and intercept 0.5% (r2 = 0.98, P < 0.0001). Results were identical in the 189 validation studies (slope 1.0, intercept 0.5%, r2 = 0.99, P < 0.0001). Conclusions, Cholate Cloral and cholate shunt may be useful in monitoring patients with liver disease. The 5-point model enhances application of cholate Cloral and cholate shunt in the non-invasive assessment of the portal circulation. [source] Evaluation of HOMA and QUICKI as measures of insulin sensitivity in prepubertal childrenPEDIATRIC DIABETES, Issue 3 2003Wayne S. Cutfield Abstract:, Background:,Simple fasting sample methods to measure insulin sensitivity (SI) such as homeostasis model assessment (HOMA) and quantitative insulin-sensitivity check index (QUICKI) have been widely promoted in adult studies but have not been formally evaluated in children. The aim of this study was to compare HOMA and QUICKI to the minimal model as measures of SI in prepubertal children. Method:, The study population consisted of twins (n = 44), premature (n = 17), small for gestational age (SGA) (15), and normal (n = 3) prepubertal children. The insulin-sensitivity index derived by the minimal model (SIMM) was calculated by the minimal model with plasma glucose and insulin data from a 90-min frequently sampled intravenous glucose test with tolbutamide. The HOMA resistance index (RHOMA) and QUICKI were calculated from fasting plasma glucose and insulin values. Results:, The correlation between RHOMA and SIMM (r = ,0.4, p < 0.001) was no better than that between fasting insulin and SIMM (r = ,0.4, p < 0.001). QUICKI was poorly correlated with SIMM (r = 0.2, p = 0.02). The correlation between SIMM and RHOMA is largely confined to low SI values (<10 × 10,4/min µU/mL). In seven SGA subjects, the introduction of growth hormone treatment led to an expected fall in SIMM by 8.2 ± 2.8 × 10,4/min µU/mL (p = 0.02) that was not detected by either RHOMA (p = 0.1) or QUICKI (p = 0.2). Similarly, SIMM values were lower in obese (n = 9) compared to non-obese subjects (p = 0.04); however, no difference was found between these two groups with either RHOMA (p = 0.21) or QUICKI (p = 0.8). Conclusion:, As measures of SI in prepubertal children, RHOMA is no better than fasting insulin and QUICKI, a poor measure. Neither RHOMA nor QUICKI was able to detect changes in SI induced by either obesity or growth hormone therapy. [source] A mathematical model of haemopoiesis as exemplified by CD34+ cell mobilization into the peripheral bloodCELL PROLIFERATION, Issue 4 2004M. N. Obeyesekere This minimal model reflects the known kinetics of haemopoietic progenitor cells, including peripheral blood CD34+ cells, white blood cells and platelets, in the presence of granulocyte colony-stimulating factor. Reproducing known perturbations within this system, subjected to granulocyte colony-stimulating factor treatment and apheresis of peripheral blood progenitor cells (CD34+ cells) in healthy individuals allows validation of the model. Predictions are made with this model for reducing the length of time with neutropenia after high-dose chemotherapy. Results based on this model indicate that myelosuppressive treatment together with infusion of CD34+ peripheral blood progenitor cells favours a faster recovery of the haemopoietic system than with granulocyte colony-stimulating factor alone. Additionally, it predicts that infusion of white blood cells and platelets can relieve the symptoms of neutropenia and thrombocytopenia, respectively, without drastically hindering the haemopoietic recovery period after high dose chemotherapy. [source] | ||||||||||