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Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters

In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ and μ = μ ( p ) $\mu=\mu(p)$ on the interval [ 0 , 1 / 2 ] $[0, 1/2]$ such that the double inequality G p [ λ a + ( 1 − λ ) b , λ b + ( 1 − λ ) a ] A 1 − p ( a , b ) 0 $a, b>0$ with a ≠ b $a\neq b$ , where A ( a , b ) = ( a + b ) / 2 $A(a, b)=(a+b)/2$ , G ( a , b ) = a b $G(a,b)=\sqrt{ab...

Prediction of novel target genes and pathways involved in bevacizumab-resistant colorectal cancer

findings and determine their clinical applicability. Supporting information S1 Table. Down-regulated bevacizumab-resistant genes. (DOCX) 12 / 18 Conceptualization: Chien-Yu Huang, Chi-Ming Chu, Po-Li Wei ... . Data curation: Precious Takondwa Makondi, Chia-Hwa Lee, Yu-Jia Chang. Investigation: Precious Takondwa Makondi, Chi-Ming Chu, Po-Li Wei. S2 Table. Up-regulated genes. (DOCX) Author Contributions Formal

Survival factors of hospitalized out-of-hospital cardiac arrest patients in Taiwan: A retrospective study

: Chi-Ming Chu, Chi-Wen Chang. Validation: Hsin Chu, Chi-Ming Chu, Chi-Wen Chang. Visualization: Chi-Wen Chang. Writing ± original draft: Chung-Yu Lai. Writing ± review & editing: Hsin Chu, Chih-Hung ... Ku, Shih-Hung Tsai, Chi-Ming Chu, Chi Wen Chang. 10 / 12 community. J Am Coll Cardiol. 2004; 44(6): 1268±1275. https://doi.org/10.1016/j.jacc.2004.06.029 PMID: 15364331 11 / 12 35. 37. 31. 1

Prediction of novel target genes and pathways involved in irinotecan-resistant colorectal cancer

Background Acquired drug resistance to the chemotherapeutic drug irinotecan (the active metabolite of which is SN-38) is one of the significant obstacles in the treatment of advanced colorectal cancer (CRC). The molecular mechanism or targets mediating irinotecan resistance are still unclear. It is urgent to find the irinotecan response biomarkers to improve CRC patients’ therapy...

On approximating the error function

In the article, we present the necessary and sufficient condition for the parameter p on the interval ( 7 / 5 , ∞ ) such that the function x → erf ( x ) / B p ( x ) is strictly increasing (decreasing) on ( 0 , ∞ ) , and find the best possible parameters p, q on the interval ( 7 / 5 , ∞ ) such that the double inequality B p ( x ) < erf ( x ) < B q ( x ) holds for all x > 0 , where...

TFDP3 Regulates Epithelial-Mesenchymal Transition in Breast Cancer

Breast cancer remains a lethal disease to women due to lymph node metastasis, the tumor microenvironment, secondary resistance and other unknown factors. Several important transcription factors involved in this disease, such as PTEN, p53 and beta-catenin, have been identified and researched in-depth as candidates for targeted therapy in breast cancer. TFDP3 is a new, promising...

Monotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applications

In this paper, we present the monotonicity and absolute monotonicity properties for the two-parameter hyperbolic and trigonometric functions. As applications, we find several complete monotonicity properties for the functions involving the gamma function and provide the bounds for the error function. MSC: 33B10, 33B15, 33B20, 26A48, 26D07.

Necessary and sufficient conditions for the two parameter generalized Wilker-type inequalities

In the article, we provide the necessary and sufficient conditions for the parameters α and β such that the generalized Wilker-type inequality 2 β α + 2 β ( sin x x ) α + α α + 2 β ( tan x x ) β − 1 > ( < ) 0 holds for all x ∈ ( 0 , π / 2 ) . MSC: 26D05, 33B10.

Albuminuria and neck circumference are determinate factors of successful accurate estimation of glomerular filtration rate in high cardiovascular risk patients

Lin, Shih-Tai Chang, Wei-Shiang Lin, Chang Min Chung, Yun-Wen Shih, Fu-Chi Chen, Fu-Kang Hu, Yi-Syuan Wu, Chi-Wen Chang, Chi-Ming Chu. Data curation: Po-Jen Hsiao, Hung-Che Lin, Shih-Tai Chang, Jen ... -Te Hsu, Wei-Shiang Lin, Chang-Min Chung, Jung-Jung Chang, Yun-Wen Shih, Fu-Chi Chen, Fu-Kang Hu, Yi Syuan Wu, Chi-Wen Chang, Chi-Ming Chu. Formal analysis: Po-Jen Hsiao, Jen-Te Hsu, Wei-Shiang Lin

Monotonicity of the incomplete gamma function with applications

In the article, we discuss the monotonicity properties of the function x → ( 1 − e − a x p ) 1 / p / ∫ 0 x e − t p d t for a , p > 0 with p ≠ 1 on ( 0 , ∞ ) and prove that the double inequality Γ ( 1 + 1 / p ) ( 1 − e − a x p ) 1 / p < ∫ 0 x e − t p d t < Γ ( 1 + 1 / p ) ( 1 − e − b x p ) 1 / p holds for all x > 0 if and only if a ≤ min { 1 , Γ − p ( 1 + 1 / p ) } and b ≥ max { 1...

Effects of cancer-testis antigen, TFDP3, on cell cycle regulation and its mechanism in L-02 and HepG2 cell lines in vitro

Ding. Formal analysis: Yunshen Jiao, Lingyu Ding, Xiaofan Zhao. Investigation: Yunshen Jiao, Xi Chen, Zirui Gao, Likai Gao. Project administration: Yunshen Jiao, Ming Chu, Yuedan Wang. Resources: Jiarui ... Kang. Software: Yunshen Jiao, Lingyu Ding, Tieshan Wang. Supervision: Ming Chu, Yuedan Wang. Visualization: Lingyu Ding. Writing ± original draft: Yunshen Jiao. Writing ± review & editing: Lingyu

Monotonicity and inequalities involving the incomplete gamma function

In the article, we deal with the monotonicity of the function x → [ ( x p + a ) 1 / p − x ] / I p ( x ) on the interval ( 0 , ∞ ) for p > 1 and a > 0 , and present the necessary and sufficient condition such that the double inequality [ ( x p + a ) 1 / p − x ] / a < I p ( x ) < [ ( x p + b ) 1 / p − x ] / b for all x > 0 and p > 1 , where I p ( x ) = e x p ∫ x ∞ e − t p d t is...

On approximating the modified Bessel function of the first kind and Toader-Qi mean

In the article, we present several sharp bounds for the modified Bessel function of the first kind I 0 ( t ) = ∑ n = 0 ∞ t 2 n 2 2 n ( n ! ) 2 and the Toader-Qi mean T Q ( a , b ) = 2 π ∫ 0 π / 2 a cos 2 θ b sin 2 θ d θ for all t > 0 and a , b > 0 with a ≠ b . MSC: 33C10, 26E60.

Monotonicity of the ratio for the complete elliptic integral and Stolarsky mean

In the article, we prove that the function r ↦ E ( r ) / S 9 / 2 − p , p ( 1 , r ′ ) is strictly increasing on ( 0 , 1 ) for p ≤ 7 / 4 and strictly decreasing on ( 0 , 1 ) for p ∈ [ 2 , 9 / 4 ] , where r ′ = 1 − r 2 , E ( r ) = ∫ 0 π / 2 1 − r 2 sin 2 ( t ) d t is the complete elliptic integral of the second kind, and S p , q ( a , b ) = [ q ( a p − b p ) / ( p ( a q − b q...

Lazarević and Cusa type inequalities for hyperbolic functions with two parameters and their applications

In the article, we establish several Lazarević and Cusa type inequalities involving the hyperbolic sine and cosine functions with two parameters. As applications, we find some new bounds for certain bivariate means. MSC: 26D05, 26D07, 33B10, 26E60.

Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean

In this paper, the authors present necessary and sufficient conditions for the complete elliptic integrals of the first and second kind to be convex or concave with respect to the Lehmer mean. MSC: 33C05, 26E60.

Laser ablation of a Cu–Al–Ni combinatorial thin film library: analysis of crater morphology and geometry

Ming Chu Kong 0 1 0 Laboratory for Mechanics of Materials and Nanostructures, EMPA, Swiss Federal Laboratories for Materials Testing and Research , Feuerwerkerstrasse 39, 3602 Thun , Switzerland 1

Laser ablation of a Cu–Al–Ni combinatorial thin film library: analysis of crater morphology and geometry

Ming Chu Kong 0 1 0 Laboratory for Mechanics of Materials and Nanostructures, EMPA, Swiss Federal Laboratories for Materials Testing and Research , Feuerwerkerstrasse 39, 3602 Thun , Switzerland 1

Epistasis Test in Meta-Analysis: A Multi-Parameter Markov Chain Monte Carlo Model for Consistency of Evidence

Conventional genome-wide association studies (GWAS) have been proven to be a successful strategy for identifying genetic variants associated with complex human traits. However, there is still a large heritability gap between GWAS and transitional family studies. The “missing heritability” has been suggested to be due to lack of studies focused on epistasis, also called gene–gene...

Inequalities for certain means in two arguments

In this paper, we present the sharp bounds of the ratios U ( a , b ) / L 4 ( a , b ) , P 2 ( a , b ) / U ( a , b ) , N S ( a , b ) / P 2 ( a , b ) and B ( a , b ) / N S ( a , b ) for all a , b > 0 with a ≠ b , where L 4 ( a , b ) = [ ( b 4 − a 4 ) / ( 4 ( log b − log a ) ) ] 1 / 4 , U ( a , b ) = ( b − a ) / [ 2 arctan ( ( b − a ) / 2 a b ) ] , P 2 ( a , b ) = [ ( b 2 − a 2...