Assumption of Missing Processing of Sensor Acquisition Data Based on Multiple Interpolation

2020 ◽  
pp. 858-863
Author(s):  
Zhuo Li ◽  
Yufan Liu ◽  
Helong Yu ◽  
You Tang
Keyword(s):  
Multiple Interpolation

scholarly journals On Multiple Interpolation Functions of the Nörlund-Typeq-Euler Polynomials

2009 ◽  
Vol 2009 ◽  
pp. 1-14 ◽  
Author(s):  
Mehmet Acikgoz ◽  
Yilmaz Simsek
Keyword(s):  
Zeta Function ◽  
Generating Functions ◽  
Euler Polynomials ◽  
Multiple Interpolation ◽  
Definition Of ◽  
Interpolation Functions

In (2006) and (2009), Kim defined new generating functions of the Genocchi, Nörlund-typeq-Euler polynomials and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz typeq-zeta function. This function interpolates Nörlund-typeq-Euler polynomials at negative integers. We also give some identities related to these polynomials and functions. Furthermore, we give some remarks about approximations of Bernoulli and Euler polynomials.

scholarly journals Integrate Exploration to Identify Radiosensitive Biomarkers in Genes in PD-L1 Expression and PD-1 Check Point Pathway in Cancer

2021 ◽  
Author(s):  
Junjie Shen ◽  
Jingfang Liu ◽  
Huijun Li ◽  
Lu Bai ◽  
Ruirui Geng ◽  
...  
Keyword(s):  
Cox Regression ◽  
External Validation ◽  
Enrichment Analysis ◽  
Functional Enrichment Analysis ◽  
Functional Enrichment ◽  
Check Point ◽  
Checkpoint Pathway ◽  
Multiple Interpolation ◽  
Cancer Types ◽  
The Common

Abstract Purpose Exploration to identify radiosensitive biomarkers in genes in PD-L1 expression and PD-1 check point pathway in cancer. Methods and Materials: Gene expression datasets and information were downloaded from TCGA. Stepwise multivariate Cox regression based on AIC was performed using stacking multiple interpolation data to identify radiosensitive (RS) genes. Results Among the 74 PD-1/PD-L1 pathway genes, we identified 10 RS genes in BRCA dataset, 11 RS genes in STAD dataset and 13 RS genes in HNSC dataset. These genes can be thought as independent factors to identify the sensitivity of cancer patients to radiotherapy. Gene CD274 was the common gene in the three tumor datasets. And gene ZAP70 was verified as a RS gene in the external validation. There were moderate co-expression relationships and interactions in these genes. Functional enrichment analysis showed that most of these genes were related to T cells. Conclusions Our study identified potential radiosensitive biomarkers of several main cancer types in an important tumor immune checkpoint pathway. New types of RS genes were identified based on expanded definition to radiosensitive genes. Different types of tumors may share some common carcinogenic mechanisms and may have same RS genes.

scholarly journals Exploration to Identify Radiosensitive Genes in PD-L1 Expression and PD-1 check Point Pathway in Cancer

2021 ◽  
Author(s):  
Junjie Shen ◽  
Jingfang Liu ◽  
Huijun Li ◽  
Lu Bai ◽  
Ruirui Geng ◽  
...  
Keyword(s):  
Cox Regression ◽  
External Validation ◽  
Enrichment Analysis ◽  
Functional Enrichment Analysis ◽  
Functional Enrichment ◽  
Check Point ◽  
Checkpoint Pathway ◽  
Multiple Interpolation ◽  
Cancer Types ◽  
The Common

Abstract PurposeTo identify radiosensitive genes in PD-L1 expression and PD-1 check point pathway in cancer.Methods and MaterialsGene expression datasets and information were downloaded from TCGA. Stepwise multivariate Cox regression based on AIC was performed using stacking multiple interpolation data to identify radiosensitive (RS) genes.ResultsAmong the 74 PD-1/PD-L1 pathway genes, we identified 10 RS genes in BRCA dataset, 11 RS genes in STAD dataset and 13 RS genes in HNSC dataset. These genes could be thought as independent factors and biomarkers to identify the sensitivity of cancer patients to radiotherapy. Gene CD274 was the common RS gene in the three tumor datasets. And gene ZAP70 was verified as a RS gene in the external validation. There were moderate co-expression relationships and interactions in these genes. Functional enrichment analysis showed that most of these genes were related to T cells. ConclusionsOur study identified potential radiosensitive biomarkers of several main cancer types in an important tumor immune checkpoint pathway. New types of RS genes were identified based on the expanded definition to radiosensitive genes. Different types of tumors may share same RS genes due to the common carcinogenic mechanisms.

scholarly journals Interpolation by sums of series of exponentials and global Cauchy problem for convolution operators

2019 ◽  
Vol 485 (2) ◽  
pp. 149-152
Author(s):  
S. G. Merzlyakov ◽  
S. V. Popenov
Keyword(s):  
Cauchy Problem ◽  
Convergent Series ◽  
Zero Set ◽  
Convolution Operators ◽  
New Approach ◽  
Radon Measures ◽  
Multiple Interpolation ◽  
Great Generality ◽  
Series Of Exponentials ◽  
Global Cauchy Problem

The study is made of the problem of multiple interpolation on an infinite nodes set by the sums of absolutely convergent series of exponentials whose exponents are from a given set. For entire function conditions on nodes and exponents are obtained that give solubility of the problem. A new approach is demonstrated that enable us, for the case of holomorphic function in a domain, to obtain criteria of solubility of the problem for some class of exponents set and for a special class of nodes set. Moreover the necessity of the conditions is proved in great generality namely for arbitrary nodes sets and in the setting of interpolation by functions that are represented as the Laplace transforms of the Radon measures over the exponents set. Solubility is obtained of the global Cauchy problem for convolution operator with data on the nodes set in domain, in the form of the series of exponentials whose exponents belong to a sparse subset of zero set of characteristic function of the operator. The results substantially strengthen the known results on the theme.

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