A random number generator based on the logit transform of the logistic variable

Collins, Janet; Fanciulli, M.; Hohlfeld, R. G.; Finch, D. C.; Sandri, G.; Shtatland, Ernest S.

doi:10.1063/1.168442

Cited by 24 publications

(13 citation statements)

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“…Data (sample dilution producing 50% inhibition) were analyzed with a linearity test using the Logit and Log transformations [32]. The indirect ELISA was carried out like the inhibition ELISA, except that 100 µl of serum from hyperimmunized animals (Section 2.5) was used as primary antibody.…”

Section: Methodsmentioning

confidence: 99%

Protection from Staphylococcus aureus mastitis associated with poly-N-acetyl β-1,6 glucosamine specific antibody production using biofilm-embedded bacteria

Pérez

Prenafeta²,

Valle

et al. 2009

Vaccine

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Staphylococcus aureus vaccines based on bacterins surrounded by slime, surface polysaccharides coupled to protein carriers and polysaccharides embedded in liposomes administered together with non-biofilm bacterins confer protection against mastitis. However, it remains unknown whether protective antibodies are directed to slime-associated known exopolysaccharides and could be produced in the absence of bacterin immunizations. Here, a sheep mastitis vaccination study was carried out using bacterins, crude bacterial extracts or a purified exopolysaccharide from biofilm © 2009 Elsevier Ltd. All rights reserved.Corresponding author: Beatriz Amorena, e Instituto de Agrobiotecnología, CSIC-Universidad Pública de Navarra-Gobierno de Navarra, 31192 Mutilva Baja, Spain. Phone: +34 948 16 80 06; Fax: + 34 948 23 21 91; bamorena@unavarra.es. Publisher's Disclaimer: This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Disclosed potential conflicts of interestDrs. T. Maira-Litran and G.B. Pier declare they have a financial interest in the form of licensing and consulting income for the commercial development of PNAG-based vaccines and immunotherapies related to issued U.S. patents 7,252,828, 7,015,007, 6,743,431, 6,399,066, 5,980,910, and NIH-PA Author ManuscriptNIH-PA Author Manuscript NIH-PA Author Manuscript bacteria delivered in different vehicles. This polysaccharide reacted specifically with antibodies to poly-N-acetyl-β-1,6-glucosamine (PNAG) and not with antibodies to other capsular antigens or bacterial components. Following intra-mammary challenge with biofilm-producing bacteria, antibody production against the polysaccharide, milk bacterial counts and mastitis lesions were determined. Bacterins from strong biofilm-producing bacteria triggered the highest production of antibodies to PNAG and conferred the highest protection against infection and mastitis, compared with weak biofilm-producing bacteria and non-cellular inocula. Thus, bacterins from strong biofilm bacteria, rather than purified polysaccharide, are proposed as a cost-efficient vaccination against S. aureus ruminant mastitis.

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Section: Methodsmentioning

confidence: 99%

Protection from Staphylococcus aureus mastitis associated with poly-N-acetyl β-1,6 glucosamine specific antibody production using biofilm-embedded bacteria

Pérez

Prenafeta²,

Valle

et al. 2009

Vaccine

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“…We propose a global measure based on the joint distribution of sensitivity ( p ) and specificity ( q ). Adapted from (Commowick and Warfield, 2010), the distributions of p and q are first transformed into normal-like distribution using Logit transformation (Collins et al, 1992):

Logit (X) = \ln true(\frac{X}{1 - X} true),

where X ∈ (0, 1) is a random variable. Note that (13) is undefined for X = 0 and X = 1.…”

Section: Evaluation and Objective Test Criteriamentioning

confidence: 99%

A collaborative resource to build consensus for automated left ventricular segmentation of cardiac MR images

Suinesiaputra

Cowan

Al-Agamy

et al. 2014

Medical Image Analysis

168

121

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A collaborative framework was initiated to establish a community resource of ground truth segmentations from cardiac MRI. Multi-site, multi-vendor cardiac MRI datasets comprising 95 patients (73 men, 22 women; mean age 62.73 ± 11.24 years) with coronary artery disease and prior myocardial infarction, were randomly selected from data made available by the Cardiac Atlas Project (Fonseca et al., 2011). Three semi- and two fully-automated raters segmented the left ventricular myocardium from short-axis cardiac MR images as part of a challenge introduced at the STACOM 2011 MICCAI workshop (Suinesiaputra et al., 2012). Consensus myocardium images were generated based on the Expectation-Maximization principle implemented by the STAPLE algorithm (Warfield et al., 2004). The mean sensitivity, specificity, positive predictive and negative predictive values ranged between 0.63-0.85, 0.60-0.98, 0.56-0.94 and 0.83-0.92, respectively, against the STAPLE consensus. Spatial and temporal agreement varied in different amounts for each rater. STAPLE produced high quality consensus images if the region of interest was limited to the area of discrepancy between raters. To maintain the quality of the consensus, an objective measure based on the candidate automated rater performance distribution is proposed. The consensus segmentation based on a combination of manual and automated raters were more consistent than any particular rater, even those with manual input. The consensus is expected to improve with the addition of new automated contributions. This resource is open for future contributions, and is available as a test bed for the evaluation of new segmentation algorithms, through the Cardiac Atlas Project (www.cardiacatlas.org).

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“…Trying to make use of the chaotic nature of simple maps, many researchers have discussed the possibility of using the logistic map to generate random numbers [12][13][14][15]. One distinct feature of chaotic maps is that at least one Lyapunov exponent of the systems is positive for certain parameter regimes.…”

Section: Test Results and The Clear Correlation With Lyapunov Exponentsmentioning

confidence: 99%

“…In fact, the idea of applying chaos theory to generate random numbers has produced interesting works in recent years [9][10][11][12][13][14][15]. For instance, Collins et al [12] have applied the logit transformation to the logistic map to produce random numbers of uniform distribution.…”

Section: Introductionmentioning

confidence: 99%

“…For instance, Collins et al [12] have applied the logit transformation to the logistic map to produce random numbers of uniform distribution. In this work, one starts with the simple and famous logistic map defined by (1) X n+1 = µX n (1 − X n ), X n ∈ (0, 1) where 0 < µ 4, and then convert the nonuniform data of the logistic map to a more uniform set by the logit transformation assuming the form…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Evidence of the correlation between positive Lyapunov exponents and good chaotic random number sequences

Lee

Chen²,

Pei³

et al. 2004

Computer Physics Communications

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A random number generator based on the logit transform of the logistic variable

Cited by 24 publications

References 0 publications

Protection from Staphylococcus aureus mastitis associated with poly-N-acetyl β-1,6 glucosamine specific antibody production using biofilm-embedded bacteria

Protection from Staphylococcus aureus mastitis associated with poly-N-acetyl β-1,6 glucosamine specific antibody production using biofilm-embedded bacteria

A collaborative resource to build consensus for automated left ventricular segmentation of cardiac MR images

Evidence of the correlation between positive Lyapunov exponents and good chaotic random number sequences

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