Nystose attenuates bone loss and promotes BMSCs differentiation to osteoblasts through BMP and Wnt/β-catenin pathway in ovariectomized mice by Qi Zhang, Sijing Hu, Jianjun Wu, Peng Sun, Quanlong Zhang, Yang Wang, Qiming Zhao, Ting Han, Luping Qin, Qiaoyan Zhang

“…Nystose (NST), an oligosaccharide, was isolated from the roots of Morinda officinalis How. (MO). The aim of the present study was to investigate the effects of NST on bone loss in ovariectomized mice, and explore the underlying mechanism of NST in promoting differentiation of BMSCs to osteoblasts. …”
Get full text

Influence of different delays on mixed types of oscillations under limited excitation by A. A. Alifov

Get full text

Leptin Deficiency and Its Effects on Tibial and Vertebral Bone Mechanical Properties in Mature Genetically Lean and Obese JCR:LA-Corpulent Rats by Raylene A. Reimer, Jeremy M. LaMothe, Ronald F. Zernicke

“…Mature (9 mo) leptin receptor deficient obese (cp/cp; n=8) and lean (+/?…”
Get full text

Efficacy of the cross-union protocol in the treatment of congenital tibial pseudarthrosis: a comparative study by Yanhui Jing, Dahui Wang, Chunxing Wu, Zhiqiang Zhang, Yueqiang Mo, Bo Ning

Get full text

Scalar Field Kantowski–Sachs Solutions in Teleparallel <i>F</i>(<i>T</i>) Gravity by Alexandre Landry

Get full text

Editorial: New insights into the relationship between endocrine disorders and dental diseases by Chaofan Zhang, Chaofan Zhang, Chaofan Zhang, Chaofan Zhang, Shan Jiang, Nianye Zheng, Yunzhi Lin, Yunzhi Lin

Get full text

Metformin Facilitates Osteoblastic Differentiation and M2 Macrophage Polarization by PI3K/AKT/mTOR Pathway in Human Umbilical Cord Mesenchymal Stem Cells by Min Shen, Huihui Yu, Yunfeng Jin, Jiahang Mo, Jingni Sui, Xiaohan Qian, Tong Chen

Get full text

Isovitexin targets SIRT3 to prevent steroid-induced osteonecrosis of the femoral head by modulating mitophagy-mediated ferroptosis by Yinuo Fan, Zhiwen Chen, Haixing Wang, Mengyu Jiang, Hongduo Lu, Yangwenxiang Wei, Yunhao Hu, Liang Mo, Yuhao Liu, Chi Zhou, Wei He, Zhenqiu Chen

Get full text

Macrofocal multiple myeloma in the era of novel agents in China by Xuelin Dou, Ruixia Liu, Yang Liu, Nan Peng, Lei Wen, Daoxing Deng, Leqing Cao, Qian Li, Liru Wang, Fengrong Wang, Xiaodong Mo, Jin Lu

Get full text

Patient-derived iPSCs link elevated mitochondrial respiratory complex I function to osteosarcoma in Rothmund-Thomson syndrome. by Brittany E Jewell, An Xu, Dandan Zhu, Mo-Fan Huang, Linchao Lu, Mo Liu, Erica L Underwood, Jun Hyoung Park, Huihui Fan, Julian A Gingold, Ruoji Zhou, Jian Tu, Zijun Huo, Ying Liu, Weidong Jin, Yi-Hung Chen, Yitian Xu, Shu-Hsia Chen, Nino Rainusso, Nathaniel K Berg, Danielle A Bazer, Christopher Vellano, Philip Jones, Holger K Eltzschig, Zhongming Zhao, Benny Abraham Kaipparettu, Ruiying Zhao, Lisa L Wang, Dung-Fang Lee

Get full text

Factors Associated with Poor Eye Drop Administration Technique and the Role of Patient Education among Hong Kong Elderly Population by Bonnie Nga Kwan Choy, Ming Ming Zhu, Jason Chun Sum Pang, Jonathan Cheuk Hung Chan, Alex Lap Ki Ng, Michelle Ching Yim Fan, Lawrence Pui Leung Iu, Joseph Shiu Kwong Kwan, Jimmy Shiu Ming Lai, Patrick Ka Chun Chiu

Get full text

SEAD reference panel with 22,134 haplotypes boosts rare variant imputation and genome-wide association analysis in Asian populations by Meng-Yuan Yang, Jia-Dong Zhong, Xin Li, Geng Tian, Wei-Yang Bai, Yi-Hu Fang, Mo-Chang Qiu, Cheng-Da Yuan, Chun-Fu Yu, Nan Li, Ji-Jian Yang, Yu-Heng Liu, Shi-Hui Yu, Wei-Wei Zhao, Jun-Quan Liu, Yi Sun, Pei-Kuan Cong, Saber Khederzadeh, Pian-Pian Zhao, Yu Qian, Peng-Lin Guan, Jia-Xuan Gu, Si-Rui Gai, Xiang-Jiao Yi, Jian-Guo Tao, Xiang Chen, Mao-Mao Miao, Lan-Xin Lei, Lin Xu, Shu-Yang Xie, Jin-Chen Li, Ji-Feng Guo, David Karasik, Liu Yang, Bei-Sha Tang, Fei Huang, Hou-Feng Zheng

Get full text

Partitioning Functional of a Class of Convex Bodies by Xinling Zhang

“…For each <i>n</i>-dimensional real Banach space <i>X</i>, each positive integer <i>m</i>, and each bounded set <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mo>⊆</mo><mi>X</mi></mrow></semantics></math></inline-formula> with diameter greater than 0, let <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>β</mi><mi>X</mi></msub><mrow><mo>(</mo><mi>A</mi><mo>,</mo><mi>m</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> be the infimum of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>δ</mi><mo>∈</mo><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow></semantics></math></inline-formula> such that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mo>⊆</mo><mi>X</mi></mrow></semantics></math></inline-formula> can be represented as the union of <i>m</i> subsets of <i>A</i>, whose diameters are not greater than <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula> times the diameter of <i>A</i>. …”
Get full text

The Existence and Uniqueness of Nonlinear Elliptic Equations with General Growth in the Gradient by Angelo Alvino, Vincenzo Ferone, Anna Mercaldo

“…In this paper, we prove the existence and uniqueness results for a weak solution to a class of Dirichlet boundary value problems whose prototype is <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>−</mo><msub><mo>Δ</mo><mi>p</mi></msub><mi>u</mi><mo>=</mo><mi>β</mi><msup><mrow><mo>|</mo><mo>∇</mo><mi>u</mi><mo>|</mo></mrow><mi>q</mi></msup><mo>+</mo><mi>f</mi><mo> </mo><mrow><mi mathvariant="normal">i</mi><mi mathvariant="normal">n</mi><mo> </mo><mo>Ω</mo></mrow><mspace width="0.166667em"></mspace><mo>,</mo><mo> </mo><mi>u</mi><mo>=</mo><mn>0</mn><mo> </mo><mrow><mi mathvariant="normal">o</mi><mi mathvariant="normal">n</mi><mo> </mo><mo>∂</mo><mo>Ω</mo></mrow><mspace width="0.166667em"></mspace><mo>,</mo><mspace width="4pt"></mspace></mrow></semantics></math></inline-formula> where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Ω</mo></semantics></math></inline-formula> is a bounded open subset of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mi>N</mi></msup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>≥</mo><mn>2</mn></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo><</mo><mi>p</mi><mo><</mo><mi>N</mi></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mo>Δ</mo><mi>p</mi></msub><mi>u</mi><mo>=</mo><mi>div</mi><mfenced separators="" open="(" close=")"><msup><mrow><mo>|</mo><mo>∇</mo><mi>u</mi><mo>|</mo></mrow><mrow><mi>p</mi><mo>−</mo><mn>2</mn></mrow></msup><mo>∇</mo><mi>u</mi></mfenced></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo>−</mo><mn>1</mn><mo><</mo><mi>q</mi><mo><</mo><mi>p</mi></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula> is a positive constant and <i>f</i> is a measurable function satisfying suitable summability conditions depending on <i>q</i> and a smallness condition.…”
Get full text

On the Exponential Atom-Bond Connectivity Index of Graphs by Kinkar Chandra Das

“…The exponential atom-bond connectivity index is defined as follows: <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>e</mi><mi mathvariant="script">ABC</mi></msup><mo>=</mo><msup><mi>e</mi><mi mathvariant="script">ABC</mi></msup><mrow><mo>(</mo><mo>Υ</mo><mo>)</mo></mrow><mo>=</mo><mstyle displaystyle="true"><munder><mo>∑</mo><mrow><msub><mi>v</mi><mi>i</mi></msub><msub><mi>v</mi><mi>j</mi></msub><mo>∈</mo><mi>E</mi><mrow><mo>(</mo><mo>Υ</mo><mo>)</mo></mrow></mrow></munder></mstyle><mspace width="0.166667em"></mspace><msup><mi>e</mi><msqrt><mstyle scriptlevel="0" displaystyle="true"><mfrac><mrow><msub><mi>d</mi><mi>i</mi></msub><mo>+</mo><msub><mi>d</mi><mi>j</mi></msub><mo>−</mo><mn>2</mn></mrow><mrow><msub><mi>d</mi><mi>i</mi></msub><mspace width="0.166667em"></mspace><msub><mi>d</mi><mi>j</mi></msub></mrow></mfrac></mstyle></msqrt></msup><mo>,</mo></mrow></semantics></math></inline-formula> where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>d</mi><mi>i</mi></msub></semantics></math></inline-formula> is the degree of the vertex <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>v</mi><mi>i</mi></msub></semantics></math></inline-formula> in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Υ</mo></semantics></math></inline-formula>. …”
Get full text

Interior Peak Solutions for a Semilinear Dirichlet Problem by Hissah Alharbi, Hibah Alkhuzayyim, Mohamed Ben Ayed, Khalil El Mehdi

“…In this paper, we consider the semilinear Dirichlet problem <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><msub><mi mathvariant="script">P</mi><mi>ε</mi></msub><mo>)</mo></mrow><mo>:</mo><mo>−</mo><mo>Δ</mo><mi>u</mi><mo>+</mo><mi>V</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mi>u</mi><mo>=</mo><msup><mi>u</mi><mrow><mstyle scriptlevel="0" displaystyle="true"><mfrac><mrow><mi>n</mi><mo>+</mo><mn>2</mn></mrow><mrow><mi>n</mi><mo>−</mo><mn>2</mn></mrow></mfrac></mstyle><mo>−</mo><mi>ε</mi></mrow></msup></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>u</mi><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula> in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Ω</mo></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>u</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> on ∂<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Ω</mo></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Ω</mo></mrow></semantics></math></inline-formula> is a bounded regular domain in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>n</mi></msup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>≥</mo><mn>4</mn></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula> is a small positive parameter, and <i>V</i> is a non-constant positive <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>C</mi><mn>2</mn></msup></semantics></math></inline-formula>-function on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mover><mo>Ω</mo><mo>¯</mo></mover></semantics></math></inline-formula>. …”
Get full text

On Discrete Shifts of Some Beurling Zeta Functions by Antanas Laurinčikas, Darius Šiaučiūnas

“…We consider the Beurling zeta function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ζ</mi><mi mathvariant="double-struck">P</mi></msub><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>s</mi><mo>=</mo><mi>σ</mi><mo>+</mo><mi>i</mi><mi>t</mi></mrow></semantics></math></inline-formula>, of the system of generalized prime numbers <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">P</mi></semantics></math></inline-formula> with generalized integers <i>m</i> satisfying the condition <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mo>∑</mo><mrow><mi>m</mi><mo>⩽</mo><mi>x</mi></mrow></msub><mn>1</mn><mo>=</mo><mi>a</mi><mi>x</mi><mo>+</mo><mi>O</mi><mrow><mo>(</mo><msup><mi>x</mi><mi>δ</mi></msup><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>a</mi><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo>⩽</mo><mi>δ</mi><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula>, and suppose that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ζ</mi><mi mathvariant="double-struck">P</mi></msub><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> has a bounded mean square for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>σ</mi><mo>></mo><msub><mi>σ</mi><mi mathvariant="double-struck">P</mi></msub></mrow></semantics></math></inline-formula> with some <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mi mathvariant="double-struck">P</mi></msub><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula>. …”
Get full text

Research on affine equivalence enumeration of the three families vectorial function by Feng YUAN, Ji-jun JIANG, Yang YANG, Sheng-wei XU

“…In recent years,Qu-Tan-Tan-Li function,Zha-Hu-Sun function and Tang-Carlet-Tang function have been proposed with differential uniformity 4 and many good cryptographic properties.the counting problem of affine equivalent to the three families cryptographic functions was investigated.By using some properties of finite fields,the upper and lower bound of the number of affine equivalent to the Zha-Hu-Sun function,and the upper bound of the number of affine equivalent to the Qu-Tan-Tan-Li function and Tang-Carlet-Tang function were computed,respectively.Moreover,a conjecture was given about the exact number of affine equivalent to the Zha-Hu-Sun function.Results show that there are at least<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mn>2</mn> <mrow> <mn>53</mn></mrow> </msup> <msup> <mrow><mo>[</mo> <mrow> <mstyle displaystyle="true"> <munderover> <mo>∏</mo> <mrow> <mi>i</mi><mo>=</mo><mn>1</mn></mrow> <mn>8</mn> </munderover> <mrow> <mo stretchy="false">(</mo><msup> <mn>2</mn> <mi>i</mi> </msup> <mo>−</mo><mn>1</mn><mo stretchy="false">)</mo></mrow> </mstyle></mrow> <mo>]</mo></mrow> <mn>2</mn> </msup> </math></inline-formula>cryptographic functions of affine equivalent to the Zha-Hu-Sun function over finite field GF(2⁸),which can be chosen as S-boxes of block ciphers.…”
Get full text

Exact controllability for a nonlinear stochastic wave equation

“…The target and initial spaces are <mml:math> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mrow><mml:mo>(</mml:mo> <mml:mi>G</mml:mi> <mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x00D7;</mml:mo><mml:msup> <mml:mi>H</mml:mi> <mml:mrow> <mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:mrow><mml:mo>(</mml:mo> <mml:mi>G</mml:mi> <mml:mo>)</mml:mo></mml:mrow> </mml:math> with <mml:math> <mml:mi>G</mml:mi> </mml:math> being a bounded open subset of <mml:math> <mml:msup> <mml:mi>R</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:math> and the nonlinear terms having at most a linear growth.…”
Get full text

Accurate Sum and Dot Product with New Instruction for High-Precision Computing on ARMv8 Processor by Kaisen Xie, Qingfeng Lu, Hao Jiang, Hongxia Wang

“…It has been proven that our accurate summation and dot algorithms’ error bounds are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>γ</mi><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msub><msub><mi>γ</mi><mi>n</mi></msub><mi>cond</mi><mo>+</mo><mi>u</mi></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>γ</mi><mi>n</mi></msub><msub><mi>γ</mi><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow></msub><mi>cond</mi><mo>+</mo><mi>u</mi></mrow></semantics></math></inline-formula>, where ‘cond’ denotes the condition number, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>γ</mi><mi>n</mi></msub><mo>=</mo><mi>n</mi><mo>·</mo><mi>u</mi><mo>/</mo><mrow><mo>(</mo><mn>1</mn><mo>−</mo><mi>n</mi><mo>·</mo><mi>u</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, and <i>u</i> denotes the relative rounding error unit. …”
Get full text