scholarly journals f -distance of knotoids and protein structure

2021 ◽  
Vol 477 (2246) ◽  
pp. 20200898
Author(s):  
Agnese barbensi ◽  
Dimos Goundaroulis
Keyword(s):  
Protein Structure ◽  
Sample Size ◽  
Topological Properties ◽  
Small Perturbations ◽  
Optimal Sample Size ◽  
Optimal Sample ◽  
Knotted Proteins

Recent studies classify the topology of proteins by analysing the distribution of their projections using knotoids. The approximation of this distribution depends on the number of projection directions that are sampled. Here, we investigate the relation between knotoids differing only by small perturbations of the direction of projection. Since such knotoids are connected by at most a single forbidden move, we characterize forbidden moves in terms of equivariant band attachment between strongly invertible knots and of strand passages between θ -curves. This allows for the determination of the optimal sample size needed to produce a well-approximated knotoid distribution. Based on that and on topological properties of the distribution, we probe the depth of knotted proteins with the trefoil as the predominant knot type without using subchain analysis.

OPTIMAL SAMPLE SIZE FOR THE ESTIMATION OF SPRUCE BUDWORM (LEPIDOPTERA: TORTRICIDAE) POPULATIONS ON BALSAM FIR AND WHITE SPRUCE

1983 ◽  
Vol 115 (12) ◽  
pp. 1621-1626 ◽  
Author(s):  
Jacques Régnière ◽  
C. J. Sanders
Keyword(s):  
Population Density ◽  
Sample Size ◽  
Host Species ◽  
Spruce Budworm ◽  
White Spruce ◽  
Balsam Fir ◽  
Larval Population ◽  
Optimal Sample Size ◽  
Optimal Sample

AbstractAn equation is presented for the determination of sample sizes needed to estimate with a given precision the larval population density of spruce budworm on balsam fir and white spruce branch tips in Ontario. This equation is primarily applicable to low densities, but is valid to a density of 50 larvae/branch tip. The distribution of budworm larvae at densities below 0.1/branch tip is nearly random, and is aggregated at higher densities. Their distribution is the same on the two host species.

scholarly journals Determination of Optimal Sample Size for Quantification of β-Cell Area, Amyloid Area and β-Cell Apoptosis in Isolated Islets

2015 ◽  
Vol 63 (8) ◽  
pp. 663-673 ◽  
Author(s):  
Daniel T. Meier ◽  
Leon Entrup ◽  
Andrew T. Templin ◽  
Meghan F. Hogan ◽  
Thanya Samarasekera ◽  
...  
Keyword(s):  
Sample Size ◽  
Cell Apoptosis ◽  
Isolated Islets ◽  
Cell Area ◽  
Β Cell ◽  
Optimal Sample Size ◽  
Optimal Sample

Algorithm for determination of sample size using Linex loss function

2017 ◽  
Vol 31 (19-21) ◽  
pp. 1740060
Author(s):  
Wensheng Huang
Keyword(s):  
Analytical Solution ◽  
Sample Size ◽  
Normal Distribution ◽  
Poisson Distribution ◽  
Loss Function ◽  
Linex Loss Function ◽  
Optimal Sample Size ◽  
Optimal Sample ◽  
Linex Loss

The sample size based on the Linex loss function and Blinex loss function is studied in this paper, and the analytical solution of the optimal sample size is deduced on the assumption that the Linex loss function and the normal distribution exist. For the Blinex loss function, an accurate algorithm was presented to obtain the optimal sample size. Furthermore, the optimal sample size is obtained, respectively, by taking Poisson distribution and normal distribution as examples. Due to the wide application of Blinex function in reality, the algorithm presented in this paper has immediate applications.

scholarly journals Determination of the optimal sample size for a clinical trial accounting for the population size

2016 ◽  
Vol 59 (4) ◽  
pp. 609-625 ◽  
Author(s):  
Nigel Stallard ◽  
Frank Miller ◽  
Simon Day ◽  
Siew Wan Hee ◽  
Jason Madan ◽  
...  
Keyword(s):  
Clinical Trial ◽  
Sample Size ◽  
Population Size ◽  
Optimal Sample Size ◽  
Optimal Sample
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