Minuit - a system for function minimization and analysis of the parameter errors and correlations

James, F.; Roos, M.

doi:10.1016/0010-4655(75)90039-9

Cited by 3,231 publications

(2,156 citation statements)

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“…In methods, B, D, and F, ks and k6 were set to cerebellar values found at each specific activity. In all techniques, Bmax and other model parameters were fitted using a system for function optimization (James and Roos, 1976). The simplex algo rithm (NeIder and Mead, 1965) and subsequently the vari able metric method of Fletcher (1970) were used as opti mization techniques.…”

Section: Discussionmentioning

confidence: 99%

The Quantitative Analysis of D₂-Dopamine Receptors in Baboon Striatum in vivo with 3-N-[2'-¹⁸F]Fluoroethylspiperone Using Positron Emission Tomography

Jovkar¹,

Wienhard²,

Pawlik³

et al. 1990

J Cereb Blood Flow Metab

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Summary:We used the ligand 3-N-[2,-18F]fluoroethyl spiperone (FESP), which binds to Dz-dopamine receptors in the striatum, and positron emission tomography (PET) to quantify striatal Dz-dopamine densities (Bmax) and binding kinetics in baboon brain in vivo. Sequential PET scans were obtained for 4 h post injection. Various similar models based on a nonlinear kinetic four-compartment model that takes into account the effect of ligand specific activity were used. We investigated the effect of exact model configuration on the reliability of Bmax and other kinetic transfer coefficients. We found that with the ligand FESP and dynamic PET studies, the estimated val ues of Bmax and other model parameters are sensitive to the choice of model configuration, ligand specific activPositron emission tomography (PET) with appro priate positron-emitting ligands allows the in vivo imaging and quantitation of neuroreceptors (Huang et aI. , 1986; Sedval et aI. , 1986;Gjedde and Wong, 1987;Swart and Korf, 1987). As a receptor class, D2-dopaminergic receptors have received much in terest since they have been implicated in a number of neurologic and psychiatric disorders. Recent PET investigations have reported modifications of Drreceptor densities in schizophrenia (Wong et aI., 1986), progressive supranuclear palsy (Baron et aI. , 1986), and normal aging (Wong et aI. , 1984; Baron et aI. , 1986).Received July 19, 1989; revised February 15, 1990; accepted March 13, 1990.Address correspondence and reprint requests to Dr. K. Wien hard at Max-Planck-Institut fii r Neurologische Forschung, PET Labor, Haus 30, Joseph-Stelzmann-Str. 9, 5000 Koln 41 (Lin denthal), F.R.G. In this study, we used the ligand 3-N-[2,_18F] fluoroethylspiperone (FESP) to quantitate neurore ceptor densities (Bmax) and affinities in baboon stri atum by PET. The ligand FESP binds to D2-dopamine receptors in the striatum (Satyamurthy et aI. , 1986; Coenen et aI. , 1987). We investigated the effect of model configuration and ligand specific ac tivity on the reliability of D2-dopamine receptor density and affinity estimates. This was done by analysis of a series of studies in the same baboon with different ligand specific activities and with var ious model configurations based on a comprehen sive four compartment model similar to that pro posed by Huang et al. (1986). Using this kinetic model, we also obtained an estimate of transfer co efficients.Simulation studies were carried out to study the effect of using ligands with different binding char acteristics and with various specific activities on estimated receptor densities in human studies. The use of multiple-injection studies is not warranted in

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Section: Discussionmentioning

confidence: 99%

The Quantitative Analysis of D₂-Dopamine Receptors in Baboon Striatum in vivo with 3-N-[2'-¹⁸F]Fluoroethylspiperone Using Positron Emission Tomography

Jovkar¹,

Wienhard²,

Pawlik³

et al. 1990

J Cereb Blood Flow Metab

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“…Equation 2 was then fitted to the time-activity data se- quentially sampled within each of those regions as de scribed previously, utilizing an advanced system for fast function minimization (James and Roos, 1976) that offers three different optimization methods: (a) a Monte Carlo search routine that may be used at the beginning of a fit, if no reasonable starting point is known; (b) a simplex method that is reasonably fast when starting far away from minimum; (c) a gradient search method that is ex tremely fast in the vicinity of a minimum. In addition to the dynamic method, regional activities recorded from 30 to 40 min after [lsF]FDG injection were used to compute CMRGlc according to the various single-scan ap proaches, and the graphic analysis was applied to the data collected between 18 and 40 min after injection.…”

Section: Methodsmentioning

confidence: 99%

Estimation of Local Cerebral Glucose Utilization by Positron Emission Tomography of [¹⁸F]2-Fluoro-2-Deoxy-D-Glucose: A Critical Appraisal of Optimization Procedures

Wienhard¹,

Pawlik²,

Herholz³

et al. 1985

J Cereb Blood Flow Metab

166

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Summary: Various approaches estimating local cerebral glucose utilization by positron emission tomography of labeled deoxyglucose are compared. Autoradiographic methods that predict the glucose utilization rate from a single scan are unreliable in pathologic tissue because of abnormal values of the model rate constants. A normal ization procedure using the ratio of measured tissue ac tivity to activity calculated with standard rate constants is proposed to readjust the values of the rate constants. Reliable estimates of metabolic rates can be obtained from dynamic recordings of tracer uptake. In the graphic approach, metabolic rate can be derived from the slope of a segment of a transformed uptake curve, which be comes linear at 15-20 min after intravenous tracer injec tion, with an accuracy comparable with that in complete dynamic studies. However, by recording and analyzingOver the last few years, the 2-deoxyglucose (DG) method has become generally accepted and widely used for measuring in vivo the glucose consumption of various structural and functional components of the brain. Originally developed for autoradiographic animal studies using 2-deoxY-D- Abbreviations used: CT, computed tomography; DG, 2-de oxyglucose; DG-6-P, 2-deoxyglucose-6-phosphate; FOG, 2-fluoro-2-deoxy-n-glucose; PET, positron emission tomography. 115full-length uptake curves, in addition to metabolic rate, the model rate constants can be determined regionally. The physiological significance of those parameters is demonstrated in crossed cerebellar deactivation in 30 pa tients with supratentorial infarcts. Mild hypometabolism both within the ischemic lesion and in the morphologi cally intact cerebellum is accompanied by a reduction of the phosphorylation rate only. Severe metabolic depres sion, by contrast, affects both cerebellar transport and phosphorylation processes, whereas in the cerebrum, only the rate constant kl is significantly correlated with the degree of metabolic disturbance.

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“…For multi-dimensional fits, we decided to use the MINUIT algorithm [8], the primary fitting package used in experimental particle physics, which is available through the ROOT framework [2]. The MINUIT package was developed in 1970s to provide several different approaches to function minimization, including several tools for error estimation and parameter-correlation calculation.…”

Section: State Of Artmentioning

confidence: 99%

“…We then use algorithms from the MINUIT package [8], available through the ROOT framework [2], to fit this linear approximation at point x 1...n of our model to the data. The second derivative (quadratic dependence) can be introduced as well:…”

Section: Approximating the Modelmentioning

confidence: 99%

Confronting theoretical predictions with experimental data; fitting strategy for multi-dimensional distributions

Przedziński¹,

Roig

Shekhovtsova

et al. 2015

csci

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Minuit - a system for function minimization and analysis of the parameter errors and correlations

Cited by 3,231 publications

References 6 publications

The Quantitative Analysis of D₂-Dopamine Receptors in Baboon Striatum in vivo with 3-N-[2'-¹⁸F]Fluoroethylspiperone Using Positron Emission Tomography

The Quantitative Analysis of D₂-Dopamine Receptors in Baboon Striatum in vivo with 3-N-[2'-¹⁸F]Fluoroethylspiperone Using Positron Emission Tomography

Estimation of Local Cerebral Glucose Utilization by Positron Emission Tomography of [¹⁸F]2-Fluoro-2-Deoxy-D-Glucose: A Critical Appraisal of Optimization Procedures

Confronting theoretical predictions with experimental data; fitting strategy for multi-dimensional distributions

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Minuit - a system for function minimization and analysis of the parameter errors and correlations

Cited by 3,231 publications

References 6 publications

The Quantitative Analysis of D2-Dopamine Receptors in Baboon Striatum in vivo with 3-N-[2'-18F]Fluoroethylspiperone Using Positron Emission Tomography

The Quantitative Analysis of D2-Dopamine Receptors in Baboon Striatum in vivo with 3-N-[2'-18F]Fluoroethylspiperone Using Positron Emission Tomography

Estimation of Local Cerebral Glucose Utilization by Positron Emission Tomography of [18F]2-Fluoro-2-Deoxy-D-Glucose: A Critical Appraisal of Optimization Procedures

Confronting theoretical predictions with experimental data; fitting strategy for multi-dimensional distributions

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The Quantitative Analysis of D₂-Dopamine Receptors in Baboon Striatum in vivo with 3-N-[2'-¹⁸F]Fluoroethylspiperone Using Positron Emission Tomography

The Quantitative Analysis of D₂-Dopamine Receptors in Baboon Striatum in vivo with 3-N-[2'-¹⁸F]Fluoroethylspiperone Using Positron Emission Tomography

Estimation of Local Cerebral Glucose Utilization by Positron Emission Tomography of [¹⁸F]2-Fluoro-2-Deoxy-D-Glucose: A Critical Appraisal of Optimization Procedures