Predicting correlation coefficients for Monte Carlo eigenvalue simulations with multitype branching process

Miao, Jilang; Forget, Benoit; Smith, Kord

doi:10.1016/j.anucene.2017.10.014

Cited by 19 publications

(5 citation statements)

References 7 publications

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“…When the absorbance-concentration plots for levodopa and carbidopa are examined, it is seen that the absorbance value increases as the concentration increases. The linear relationship [58] between absorbance and concentration was confirmed by the fact that the regression coefficient [59] is close to the individual values (Table 3).…”

Section: Resultsmentioning

confidence: 73%

The Determination of Parkinson’s Drugs in Human Urine by Applying Chemometric Methods

Ertokuş

2019

International Journal of Analytical Chemistry

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The spectrophotometric-chemometric analysis of levodopa and carbidopa that are used for Parkinson’s disease was analyzed without any prior reservation. Parkinson’s drugs in the urine sample of a healthy person (never used drugs in his life) were analyzed at the same time spectrophotometrically. The chemometric methods used were partial least squares regression (PLS) and principal component regression (PCR). PLS and PCR were successfully applied as chemometric determination of levodopa and carbidopa in human urine samples. A concentration set including binary mixtures of levodopa and carbidopa in 15 different combinations was randomly prepared in acetate buffer (pH 3.5).). UV spectrophotometry is a relatively inexpensive, reliable, and less time-consuming method. Minitab program was used for absorbance and concentration values. The normalization values for each active substance were good (r2>0.9997). Additionally, experimental data were validated statistically. The results of the analyses of the results revealed high recoveries and low standard deviations. Hence, the results encouraged us to apply the method to drug analysis. The proposed methods are highly sensitive and precise, and therefore they were implemented for the determination of the active substances in the urine sample of a healthy person in triumph.

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Section: Resultsmentioning

confidence: 73%

The Determination of Parkinson’s Drugs in Human Urine by Applying Chemometric Methods

Ertokuş

2019

International Journal of Analytical Chemistry

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“…Atorvastatin maddesinin dalga boyu-absorpsiyon spektrumuŞekil 3. Ezetimib maddesinin dalga boyu-absorpsiyon spektrumuBu çalışmada yer verilen kemometrik yöntemler arasında kısmi en küçük kareler (PLS) yöntemi[17] yer almaktadır. Absorbans ve konsantrasyon arasındaki ilişkiden oluşturulan bir matris yardımıyla stokiyometrik bir model oluşturularak stokiyometrik hesaplamalar yapılır[18].…”

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Kolestrolü Tedavi Edici İlaç Kombinasyonlarının Eşzamanlı Spektrofotometrik Tayini

Pekcan,

Bakan

2024

Dicle Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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Bu çalışmada, kolestrol yüksekliği tedavisinde kullanılan ilaç etken maddelerinde atorvasatin ve ezetimibin miktar tayinleri kemometrik programlardan olan kısmi en küçük kareler metodu ile ultra viyole görünür alan spektroskopisi verileri öz önüne alınarak hesaplanmıştır. Kısmi en küçük kareler (PLS) yöntemi ile hesaplanan değerlere bakıldığında geri kazanım değerleri oldukça yüksek, bağıl standart sapma değerleri de yeterince küçük değerler olarak elde edilmiştir. Gerçek ve tahmini yani hesaplanan değerler arasındaki ilişkide de regresyon katsayıları bir değerine yakın bulunmuştur. Yöntemin geçerliliği için analitik parametreler hesaplanmıştır. Ticari ilaç tabletlerine geçmeden önce uygulanan yöntemlerin uygunluğu da kontrol edilmiştir. Bu işlem için ANOVA testi yapılmıştır. F hesaplanan değerleri F ölçüt ya da F teorik değerlerinden düşük olmalıdır. P değeri olan pearson korelasyon katsayısının da 0,05 değerinden büyük olması gerekmektedir. Hesaplanan değerler ile yöntemin uygun olduğuna karar verilmiştir. Bu çalışmada uygulanan yöntemler, iki bileşenli karmaşık ilaç karışımlarına uygulanabilmektedir.

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“…The persistence of stochastic effects, potentially screening such a state of the reactor, shall therefore be avoided. In this respect, the appearance of fission-induced correlations in nuclear systems has been extensively investigated 1,2 and a large attention has been devoted to the development of simulation capabilities relying on high-performance computing and aiming at characterizing the fluctuations and correlations [3][4][5][6] . Some of the numerical simulations reported strong non-Poissonian patterns affecting neutron spatial distributions in decoupled nuclear systems, where the system size is larger than the typical length scale travelled by the neutrons.…”

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confidence: 99%

Patchy nuclear chain reactions

et al. 2021

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Stochastic fluctuations of the neutron population within a nuclear reactor are typically prevented by operating the core at a sufficient power, since a deterministic (i.e., exactly predictable) behavior of the neutron population is required by automatic safety systems to detect unwanted power excursions. In order to characterize the reactor operating conditions at which the fluctuations vanish, an experiment was designed and took place in 2017 at the Rensselaer Polytechnic Institute Reactor Critical Facility. This experiment however revealed persisting fluctuations and striking patchy spatial patterns in neutron spatial distributions. Here we report these experimental findings, interpret them by a stochastic modeling based on branching random walks, and extend them using a “numerical twin” of the reactor core. Consequences on nuclear safety will be discussed.

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Predicting correlation coefficients for Monte Carlo eigenvalue simulations with multitype branching process

Cited by 19 publications

References 7 publications

The Determination of Parkinson’s Drugs in Human Urine by Applying Chemometric Methods

The Determination of Parkinson’s Drugs in Human Urine by Applying Chemometric Methods

Kolestrolü Tedavi Edici İlaç Kombinasyonlarının Eşzamanlı Spektrofotometrik Tayini

Patchy nuclear chain reactions

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