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Significance of functional hepatic resection rate calculated using 3D CT/^(99m)Tc-galactosyl human serum albumin singlephoton emission computed tomography fusion imaging 被引量:6
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作者 Yosuke Tsuruga Toshiya Kamiyama +6 位作者 Hirofumi Kamachi Shingo Shimada Kenji Wakayama Tatsuya Orimo Tatsuhiko Kakisaka Hideki Yokoo Akinobu Taketomi 《World Journal of Gastroenterology》 SCIE CAS 2016年第17期4373-4379,共7页
AIM: To evaluate the usefulness of the functional hepatic resection rate (FHRR) calculated using 3D computed tomography (CT)/<sup>99m</sup>Tc-galactosyl-human serum albumin (GSA) single-photon emission com... AIM: To evaluate the usefulness of the functional hepatic resection rate (FHRR) calculated using 3D computed tomography (CT)/<sup>99m</sup>Tc-galactosyl-human serum albumin (GSA) single-photon emission computed tomography (SPECT) fusion imaging for surgical decision making.METHODS: We enrolled 57 patients who underwent bi- or trisectionectomy at our institution between October 2013 and March 2015. Of these, 26 patients presented with hepatocellular carcinoma, 12 with hilar cholangiocarcinoma, six with intrahepatic cholangiocarcinoma, four with liver metastasis, and nine with other diseases. All patients preoperatively underwent three-phase dynamic multidetector CT and <sup>99m</sup>Tc-GSA scintigraphy. We compared the parenchymal hepatic resection rate (PHRR) with the FHRR, which was defined as the resection volume counts per total liver volume counts on 3D CT/<sup>99m</sup>Tc-GSA SPECT fusion images.RESULTS: In total, 50 patients underwent bisectionectomy and seven underwent trisectionectomy. Biliary reconstruction was performed in 15 patients, including hepatopancreatoduodenectomy in two. FHRR and PHRR were 38.6 &#x000b1; 19.9 and 44.5 &#x000b1; 16.0, respectively; FHRR was strongly correlated with PHRR. The regression coefficient for FHRR on PHRR was 1.16 (P &#x0003c; 0.0001). The ratio of FHRR to PHRR for patients with preoperative therapies (transcatheter arterial chemoembolization, radiation, radiofrequency ablation, etc.), large tumors with a volume of &#x0003e; 1000 mL, and/or macroscopic vascular invasion was significantly smaller than that for patients without these factors (0.73 &#x000b1; 0.19 vs 0.82 &#x000b1; 0.18, P &#x0003c; 0.05). Postoperative hyperbilirubinemia was observed in six patients. Major morbidities (Clavien-Dindo grade &#x02265; 3) occurred in 17 patients (29.8%). There was no case of surgery-related death.CONCLUSION: Our results suggest that FHRR is an important deciding factor for major hepatectomy, because FHRR and PHRR may be discrepant owing to insufficient hepatic inflow and congestion in patients with preoperative therapies, macroscopic vascular invasion, and/or a tumor volume of &#x0003e; 1000 mL. 展开更多
关键词 99mTc-galactosyl human serum albumin Single-photon emission computed tomography HEPATECTOMY functional hepatic resection rate Parenchymal hepatic resection rate
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Effect of non-pharmacological treatment on the full recovery of social functioning in patients with attention deficit hyperactivity disorder
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作者 Ying-Bo Lv Wei Cheng +3 位作者 Meng-Hui Wang Xiao-Min Wang Yan-Li Hu Lan-Qiu Lv 《World Journal of Clinical Cases》 SCIE 2023年第14期3238-3247,共10页
BACKGROUND Long-term treatment of attention deficit/hyperactivity disorder(ADHD)is associated with adverse events,such as nausea and vomiting,dizziness,and sleep disturbances,and poor maintenance of late ADHD medicati... BACKGROUND Long-term treatment of attention deficit/hyperactivity disorder(ADHD)is associated with adverse events,such as nausea and vomiting,dizziness,and sleep disturbances,and poor maintenance of late ADHD medication compromises treatment outcomes and prolongs the recovery of patients’social functioning.AIM To evaluate the effect of non-pharmacological treatment on the full recovery of social functioning in patients with ADHD.METHODS A total of 90 patients diagnosed with ADHD between May 2019 and August 2020 were included in the study and randomly assigned to either the pharmacological group(methylphenidate hydrochloride and tomoxetine hydrochloride)or the non-pharmacological group(parental training,behavior modification,sensory integration therapy,and sand tray therapy),with 45 cases in each group.Outcome measures included treatment compliance,Swanson,Nolan,and Pelham,Version IV(SNAP-IV)scores,Conners Parent Symptom Questionnaire(PSQ)scores,and Weiss Functional Impairment Rating Scale(WFIRS)scores.RESULTS The non-pharmacological interventions resulted in significantly higher compliance in patients(95.56%)compared with medication(71.11%)(P<0.05).However,no significant differences in SNAP-IV and PSQ scores,in addition to the learning/school,social activities,and adventure activities of the WFIRS scores were observed between the two groups(P>0.05).Patients with non-pharmacological interventions showed higher WFIRS scores for family,daily life skills,and self-concept than those in the pharmacological group(P<0.05).CONCLUSION Non-pharmacological interventions,in contrast to the potential risks of adverse events after longterm medication,improve patient treatment compliance,alleviate patients’behavioral symptoms of attention,impulsivity,and hyperactivity,and improve their cognitive ability,thereby improving family relationships and patient self-evaluation. 展开更多
关键词 Non-pharmacological treatment Attention deficit hyperactivity disorder Social functioning RECOVERY Weiss functional Impairment rating Scale scores
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The New Mixed Generalized Erlang Distribution
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作者 Therrar Kadri Yara Ghannam 《Applied Mathematics》 2023年第8期497-511,共8页
In probability theory, the mixture distribution M has a density function for the collection of random variables and weighted by w<sub>i</sub> ≥ 0 and . These mixed distributions are used in various discip... In probability theory, the mixture distribution M has a density function for the collection of random variables and weighted by w<sub>i</sub> ≥ 0 and . These mixed distributions are used in various disciplines and aim to enrich the collection distribution to more parameters. A more general mixture is derived by Kadri and Halat, by proving the existence of such mixture by w<sub>i</sub> ∈ R, and maintaining . Kadri and Halat provided many examples and applications for such new mixed distributions. In this paper, we introduce a new mixed distribution of the Generalized Erlang distribution, which is derived from the Hypoexponential distribution. We characterize this new distribution by deriving simply closed expressions for the related functions of the probability density function, cumulative distribution function, moment generating function, reliability function, hazard function, and moments. 展开更多
关键词 Generalized Erlang Distribution Mixed Distribution Probability Density Function Cumulative Distribution Function Moment Generating Function Hazard Rate Function Reliability Function Moment of Order k
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Characterizing the luminescent properties of upconversion nanoparticles in single and densely packed state
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作者 Xiaohu Chen Zhengyu Gui +7 位作者 Yong Liang Xin Jin Simin Li Pengjiu Zhao Zhangsen Yu Aiguo Wu Shoupeng Liu Hui Li 《Journal of Innovative Optical Health Sciences》 SCIE EI CAS 2019年第1期46-53,共8页
Luminescent properties of Er^(3+)-and Yb^(3+)-co-doped CaF_(2)upconversion nanoparticles(UCNPs)were investigated in single particle and densely-packed states with a custom-built microscope.The single UCNPs exhibit lin... Luminescent properties of Er^(3+)-and Yb^(3+)-co-doped CaF_(2)upconversion nanoparticles(UCNPs)were investigated in single particle and densely-packed states with a custom-built microscope.The single UCNPs exhibit linear dependency of luminescent intensity on excitation power while the densely-packed UCNPs exhibit a 2-order power law-dependency indicating a two-photon absorption process.Time-domain luminescence intensity measurements were performed and the curves were fitted to excitationnemission rate functions based on a simplified three-state model.The results indicate that the intermediates in single particles are much less and saturated in a short time,and there are strong couplings of the ground states and intermediate states between neighboring UCNPs in densely packed UCNPs. 展开更多
关键词 Upconversion nanoparticles single particles LUMINESCENCE LIFETIME rate function
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On the Application of Nadarajah Haghighi Gompertz Distribution as a Life Time Distribution
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作者 Adebisi Ade Ogunde Isaac Oluwaseyi Ajao Gbenga Adelekan Olalude 《Open Journal of Statistics》 2020年第5期850-862,共13页
The convolution of Nadarajah-Haghighi-G family of distributions will result <span style="font-family:Verdana;">into a more flexible distribution (Nadarajah-Haghighi Gompertz distribution) </span>... The convolution of Nadarajah-Haghighi-G family of distributions will result <span style="font-family:Verdana;">into a more flexible distribution (Nadarajah-Haghighi Gompertz distribution) </span><span style="font-family:Verdana;">than each of them individually in terms of the estimate of the characteristics in there parameters. The combination was done using Nadarajah-Haghighi </span><span style="font-family:Verdana;">(NH) generator. We investigated in the newly developed distribution some basic </span><span style="font-family:Verdana;">properties including moment, moment generating function, survival rate function, hazard rate function asymptotic behaviour and estimation of parameters. The proposed model is much more flexible and has a better representation of data than Gompertz distribution and some other model considered. A real data set was used to illustrate the applicability of the new model.</span> 展开更多
关键词 Moment Generating Function Nadarajah-Haghighi Generator Gompertz Distribution Survival Rate Function MOMENT
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Power Hamza Distribution with Application to Lifetime Data
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作者 Samuel U. Enogwe Chike H. Nwankwo Eric U. Oti 《Journal of Applied Mathematics and Physics》 2022年第1期31-48,共18页
In this paper, a three-parameter lifetime distribution named power Hamza distribution (PH) is proposed. The PH distribution is a useful generalization of the Hamza distribution which accommodates heavy-tailed, upside-... In this paper, a three-parameter lifetime distribution named power Hamza distribution (PH) is proposed. The PH distribution is a useful generalization of the Hamza distribution which accommodates heavy-tailed, upside-down bathtub and J-shaped hazard rates making it more flexible than the Hamza distribution for modelling various kinds of lifetime data. A comprehensive account of the properties of this distribution is presented. The maximum likelihood estimators of the unknown model parameters are discussed. Finally, a real-life data is analyzed for illustrative purpose proving that the PH outperforms the Hamza distribution and several other lifetime distributions. 展开更多
关键词 Hamza Distribution Hazard Rate Function Conditional Moments Stochastic Ordering Maximum Likelihood Method
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QUANTIFICATION OF RIGHT VENTRICULAR FUNCTION IN ATRIAL SEPTAL DEFECT USING ULTRASOUND- BASED STRAIN RATE IMAGING
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作者 孟祥春 孙锟 +5 位作者 张玉奇 黄美蓉 高伟 张志芳 沈蓉 陈树宝 《Journal of Shanghai Second Medical University(Foreign Language Edition)》 2005年第2期112-115,127,共5页
Objective To study the validation of ultrasound-based strain rate imaging in the quantitative assessment of right ventricular (RV) function in atrial septal defect (ASD). Methods Tissue Doppler images (TDI) of R... Objective To study the validation of ultrasound-based strain rate imaging in the quantitative assessment of right ventricular (RV) function in atrial septal defect (ASD). Methods Tissue Doppler images (TDI) of RV longitudinal and short axes were recorded from the apical 4-chamber view and the subcostal short-axis view in 18 normal controls, 28 children with ASD and 14 children after Amplazter closure of ASD respectively. Peak systolic velocities ( V), peak systolic strain rates (SR), peak systolic strains (S) at the basal segment, middle segment of RV lateral wall and the basal septum from the longitudinal axis, the middle segment of RV free waU from the short axis were quantitatively measured using QLAB^TM tissue velocity quantification software system respectively. Peak dp/ dt from the RV isovolumic contraction determined during the right cardiac catheterization in 28 ASD patients was used as the gold standard of RV contractility. Peak systolic indices were compared against max dp/dt by linear correlation, Results Peak systolic indices at the basal and middle segments of RV lateral wall from the longitudiual axis increased significantly in 28 ASD patients. Peak systolic indices at the basal septum also increased in patient group, but not significantly. Significant decreases in peak systolic indices at the basal and middle segments of RV lateral wall were observed after the Amplatzer closure in 14 ASD patients. There was no significant difference at the middle segment of RV free wall from the short axis between patient group and normal control. A strong correlation was found between max dp/dt and peak systolic indices at the basal and middle segments of RV lateral wal l ( P 〈 0. 05 ). Conclusion Ultrasound-based strain rate imaging can assess quantitatively RVfunction in CHD. Peak systolic strains determined at the basal and middle segments of RV lateral wall are strong noninvasive indices of RV contractility. 展开更多
关键词 right ventricular function strain rate strain strain rate imaging
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Flexible Reduced Logarithmic-Inverse Lomax Distribution with Application for Bladder Cancer
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作者 Mohamed M. Buzaridah Dina A. Ramadan Beih S. El-Desouky 《Open Journal of Modelling and Simulation》 2021年第4期351-369,共19页
<span style="font-family:Verdana;">In this paper, a new method for adding parameters to a well-established distribution to obtain more flexible new families of distributions is applied to the inverse L... <span style="font-family:Verdana;">In this paper, a new method for adding parameters to a well-established distribution to obtain more flexible new families of distributions is applied to the inverse Lomax distribution (IFD). This method is known by the flexible reduced logarithmic-X family of distribution (FRL-X). The proposed distribution can be called a flexible reduced logarithmic-inverse Lomax distribution (FRL-IL). The statistical and reliability properties of the proposed models are studied including moments, order statistics, moment generating function, and quantile function. The estimation of the model parameters by maximum likelihood and the observed information matrix are also discussed. In order to assess the potential of the newly created distribution. The extended model is applied to real data and the results are given and compared to other models.</span> 展开更多
关键词 Lomax Distribution Inverse Lomax Distribution Hazard Rate Function Maximum Likelihood Estimators Skewness and Kurtosis Moment Generating Function
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Performance of M-QAM, M-DPSK and M-PSK with MRC diversity in a Nakagami-m fading channel
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作者 Alam S.M.Shamsul Alam Choi GoangSeog 《Journal of Central South University》 SCIE EI CAS 2014年第4期1347-1352,共6页
The nature of a wireless communication channel is very unpredictable. To design a good communication link, it is required to know the statistical model of the channel accurately. The average symbol error probability(A... The nature of a wireless communication channel is very unpredictable. To design a good communication link, it is required to know the statistical model of the channel accurately. The average symbol error probability(ASER) was analyzed for different modulation schemes. A unified analytical framework was presented to obtain closed-form solutions for calculating the ASER of M-ary differential phase-shift keying(M-DPSK), coherent M-ary phase-shift keying(M-PSK), and quadrature amplitude modulation(QAM) over single or multiple Nakagami-m fading channels. Moreover, the ASER was estimated and evaluated by using the maximal ratio-combining(MRC) diversity technique. Simulation results show that an error rate of the fading channel typically depends on Nakagami parameters(m), space diversity(N), and symbol rate(M). A comparison between M-PSK, M-DPSK, and M-QAM modulation schemes was shown, and the results prove that M-ary QAM(M-QAM) demonstrates better performance compared to M-DPSK and M-PSK under all fading and non-fading conditions. 展开更多
关键词 M-ary differential phase-shift keying(M-DPSK) M-ary phase shift keying(M-PSK) Nakagami-m fading channel probability density function(PDF) symbol error rate(SER) M-ary quadrature amplitude modulation(M-QAM)
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Research on Effective Access for Strengthening and Improving the Management and Benefit use of Large Instruments
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作者 Cui Zhongxing, Hu Mingxing, Chen Cunli, Kang Wenxing, Hua XianghanXi’an University of Technology Xi’an, 710048, P.R.China 《International Journal of Plant Engineering and Management》 1998年第2期32-36,共5页
The purchasement and development as well as the benefit of utilization for the large equipment in universities of China are analyzed in this paper, the paper in dicates that in utilization of large equipment the contr... The purchasement and development as well as the benefit of utilization for the large equipment in universities of China are analyzed in this paper, the paper in dicates that in utilization of large equipment the contradictions such as urgency and necessity for the purchasement and development of large equipment and serious waste in resources since inadequacy of annual utilization rate of large equipment are existed, it also raises that the key step of giving full play to the benefit of large equipment is to strengthen management and development after the equipment are purchased, the paper regards through stressing standardized management and maintenance、opening the laboratory、improving the functions of equipment、renovating technology、fully examining and scientifically deciding before purchasement, the investment benefit for the large equipment can be raised effectively. 展开更多
关键词 large equipment standardized management improvement of functions investment benefit utilization rate
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Heart rate variability and its response to thyroxine replacement therapy in patients with hypothyroidism
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作者 邢惠莉 沈迎 +2 位作者 陈寒蓓 王一尘 沈卫峰 《Chinese Medical Journal》 SCIE CAS CSCD 2001年第9期10-12,102,共4页
Objective To analyze heart rate variability (HRV)and its changes with thyroxine treatment in patients with hypothyroidism. Methods HRV was analyzed using 24-hour electrocardiographic recording in 38 patients with hy... Objective To analyze heart rate variability (HRV)and its changes with thyroxine treatment in patients with hypothyroidism. Methods HRV was analyzed using 24-hour electrocardiographic recording in 38 patients with hypothyroidism and 21 normal controls. The changes in HRV were evaluated for the 18 hypothyroid patients after 3 months of thyroxine therapy.Results The time domain measurements of HRV in hypothyroid patients were much lower than those in the control group. As to HRV frequency domain, the high frequency power was significantly higher, but the ratio of low frequency power to frequency power for hypothyroid patients was lower than in the controls. These abnormal changes of HRV measurements in hypothyroid patients were improved after treatment with thyroxine and were associated with recovery of serum concentrations of FT3 and FT4. Conclusions Patients with hypothyroidism often have autonomic neuropathies with a higher level of vagal tone. These abnormalities could be partly improved by thyoxine therapy. 展开更多
关键词 heart rate variability · hypothyroidism · autonomic nerve function
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A method for modeling and deciphering the persistent photoconductance and long-term charge storage of ZnO nanorod arrays 被引量:3
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作者 Qiang Zhu Changsheng Xie Huayao Li Dawen Zeng 《Nano Research》 SCIE EI CAS CSCD 2016年第10期2972-3002,共31页
The controllability of persistent photoconductance (PPC) and charge/energy storage of ZnO nanorod arrays (NRAs) were demonstrated experimentally by tuning the nanorod diameter. The dependency of the ZnO NRAs' pho... The controllability of persistent photoconductance (PPC) and charge/energy storage of ZnO nanorod arrays (NRAs) were demonstrated experimentally by tuning the nanorod diameter. The dependency of the ZnO NRAs' photoelectric characteristics on the nanorod diameter suggests that the Debye length and photon penetration depth in ZnO could spatially partition a standalone nanorod into three different photoelectric functional regions (PFRs). Theoretically, a series of rate functions was employed to describe the different extrinsic/intrinsic carrier photogeneration/recombination dynamic sub-processes occurring in the different PFRs, associated with oxygen chemisorption/photodesorption, oxygen vacancy photoionization, and electron trapping by photoionized oxygen vacancies. On the basis of the coupled contributions of these different dynamic sub-processes in the photoelectric properties of the ZnO NRAs, a thorough-process photoelectric dynamic model (TPDM) was proposed using the simultaneous rate functions. Through solving the rate functions, the corresponding analytical equations could be employed to simulate the time-resolved PPC spectra of the ZnO NRAs, and then the quantitative parameters extracted to decipher the PPC and charge/energy storage mechanisms in the ZnO NRAs. In this way, the TPDM model provided a numerical-analytical method to quantitatively evaluate the photoelectric properties of ZnO NRA-based devices. Additionally, the TPDM model revealed how the different photoinduced carrier dynamics in the different PFRs could play functional roles in different optoelectronic applications, e.g., photodetectors, photocatalysts, solar cells and optical nonvolatile memories, and thus it illuminated a practical approach for the design of ZnO NRA-based devices via optimization of the modularized spatial configuration of the PFRs. 展开更多
关键词 ZnO photoconductance spectrum persistent photoconductance photogenerated carrier rate function analytical fitting
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Analysis of within-host CHIKV dynamics models with general incidence rate 被引量:2
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作者 Ahmed M. Elaiw Taofeek O. Alade Saud M. Alsulami 《International Journal of Biomathematics》 SCIE 2018年第5期17-41,共25页
In this paper we study the stability analysis of two within-host Chikungunya virus (CHIKV) dynamics models. The incidence rate between the CHIKV and the uninfected mouocytes is modeled by a general nonlinear functio... In this paper we study the stability analysis of two within-host Chikungunya virus (CHIKV) dynamics models. The incidence rate between the CHIKV and the uninfected mouocytes is modeled by a general nonlinear function. The second model considers two types of infected monocytes (i) latently infected monocytes which do not generate CHIKV and (ii) actively infected monocytes which produce the CHIKV particles. Sufficient conditions are found which guarantee the global stability of the positive steady states. Using the Lyapunov function, we established the global stability of the steady states of the models. The theoretical results are confirmed by numerical simulations. 展开更多
关键词 Global stability chikungunya virus infection general incidence rate Lyapunov function.
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Characteristics of language impairment in Parkinson’s disease and its influencing factors 被引量:1
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作者 Lin Liu Xiao-Guang Luo +5 位作者 Chui-Liang Dy Yan Ren Yu Feng Hong-Mei Yu Hong Shang Zhi-Yi He 《Translational Neurodegeneration》 SCIE CAS 2015年第1期9-16,共8页
Background:Language impairment is relatively common in Parkinson’s disease(PD),but not all PD patients are susceptible to language problems.In this study,we identified among a sample of PD patients those pre-disposed... Background:Language impairment is relatively common in Parkinson’s disease(PD),but not all PD patients are susceptible to language problems.In this study,we identified among a sample of PD patients those pre-disposed to language impairment,describe their clinical profiles,and consider factors that may precipitate language disability in these patients.Methods:A cross-sectional cohort of 31 PD patients and 20 controls were administered the Chinese version of the Western Aphasia Battery(WAB)to assess language abilities,and the Montreal Cognitive Assessment(MoCA)to determine cognitive status.PD patients were then apportioned to a language-impaired PD(LI-PD)group or a PD group with no language impairment(NLI-PD).Performance on the WAB and MoCA was investigated for correlation with the aphasia quotient deterioration rate(AQDR).Results:The PD patients scored significantly lower on most of the WAB subtests than did the controls.The aphasia quotient,cortical quotient,and spontaneous speech and naming subtests of the WAB were significantly different between LI-PD and NLI-PD groups.The AQDR scores significantly and positively correlated with age at onset and motor function deterioration.Conclusion:A subset group was susceptible to language dysfunction,a major deficit in spontaneous speech.Once established,dysphasia progression is closely associated with age at onset and motor disability progression. 展开更多
关键词 Aphasia quotient Language function deterioration rate Language impairment Parkinson’s disease Western aphasia battery
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On nonparametric change point estimator based on empirical characteristic functions 被引量:3
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作者 TAN ChangChun SHI XiaoPing +1 位作者 SUN XiaoYing WU YueHua 《Science China Mathematics》 SCIE CSCD 2016年第12期2463-2484,共22页
We propose a nonparametric change point estimator in the distributions of a sequence of independent observations in terms of the test statistics given by Huˇskov′a and Meintanis(2006) that are based on weighted empi... We propose a nonparametric change point estimator in the distributions of a sequence of independent observations in terms of the test statistics given by Huˇskov′a and Meintanis(2006) that are based on weighted empirical characteristic functions. The weight function ω(t; a) under consideration includes the two weight functions from Huˇskov′a and Meintanis(2006) plus the weight function used by Matteson and James(2014),where a is a tuning parameter. Under the local alternative hypothesis, we establish the consistency, convergence rate, and asymptotic distribution of this change point estimator which is the maxima of a two-side Brownian motion with a drift. Since the performance of the change point estimator depends on a in use, we thus propose an algorithm for choosing an appropriate value of a, denoted by a_s which is also justified. Our simulation study shows that the change point estimate obtained by using a_s has a satisfactory performance. We also apply our method to a real dataset. 展开更多
关键词 change point estimator empirical characteristic function tuning parameter convergence rate asymptotic distribution
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A New and Efficient Approach to Determining the Rate of the Second-Order Symmetric Tensor and Its Isotropic Function
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作者 Chunyu Meng Mingxiang Chen 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2022年第5期867-879,共13页
When the rate of a symmetric second-order symmetric tensor is discussed,the spin of the principal axis is involved.This paper proposes a method to establish the basis-free expression of the spin in terms of tensor and... When the rate of a symmetric second-order symmetric tensor is discussed,the spin of the principal axis is involved.This paper proposes a method to establish the basis-free expression of the spin in terms of tensor and its rate by making use of the tensor function representation theorem.The proposed method is simple and the expression of the spin established is compact.To obtain the rate of the isotropic function of a second-order symmetric tensor,the fourth-order tangent tensor needs to be derived,which is the derivative of the tensor function to the second-order tensor.By decomposing the second-order symmetric tensor space into two orthogonal subspaces,the closed-form fourth-order tangent tensor is decomposed into two parts,which are linear mappings in these two orthogonal subspaces,respectively.These two linear mappings are derived in an extremely simple way.Finally,the method proposed in this paper is applied to obtain the expression of the relationship between material logarithmic strain rate and deformation rate.The whole process is simple and avoids tedious operations. 展开更多
关键词 Tensor rate Basis-free spin Tensor function rate Orthogonal space decomposition
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Rate Function of Large Deviation for a Class of Nonhomogeneous Markov Chains on Supercritical Percolation Network
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作者 Zhong Hao XU Dong HAN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第9期1813-1830,共18页
We model an epidemic with a class of nonhomogeneous Markov chains on the supercritical percolation network on Zd. The large deviations law for the Markov chain is given. Explicit expression of the rate function for la... We model an epidemic with a class of nonhomogeneous Markov chains on the supercritical percolation network on Zd. The large deviations law for the Markov chain is given. Explicit expression of the rate function for large deviation is obtained. 展开更多
关键词 Nonhomogeneous Markov chain large deviation rate function percolation network
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Exponentiated Generalized Inverse Flexible Weibull Distribution:Bayesian and Non-Bayesian Estimation Under Complete and TypeⅡCensored Samples with Applications
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作者 M.El-Morshedy M.S.Eliwa +2 位作者 A.El-Gohary Ehab M.Almetwally R.EL-Desokey 《Communications in Mathematics and Statistics》 SCIE 2022年第3期413-434,共22页
In this paper,a new 4-parameter exponentiated generalized inverse flexible Weibull distribution is proposed.Some of its statistical properties are studied.The aim of this paper is to estimate the model parameters via ... In this paper,a new 4-parameter exponentiated generalized inverse flexible Weibull distribution is proposed.Some of its statistical properties are studied.The aim of this paper is to estimate the model parameters via several approaches,namely,maximum likelihood,maximum product spacing and Bayesian.According to Bayesian approach,several techniques are used to get the Bayesian estimators,namely,standard error function,Linex loss function and entropy loss function.The estimation herein is based on complete and censored samples.Markov Chain Monte Carlo simulation is used to discuss the behavior of the estimators for each approach.Finally,two real data sets are analyzed to obtain the flexibility of the proposed model. 展开更多
关键词 Weibull distribution Hazard rate function Maximum likelihood estimation Maximum product spacing estimation Bayesian estimation Censored samples Simulation
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An Extended Weibull Model with Variable Periodicity
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作者 PENG Xiuyun 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2018年第3期841-858,共18页
A new distribution for the fluctuation of materials' lifetime cumulative hazard rate is firstly proposed. The new distribution is extended from the Weibull distribution by adding a sine function. After that, the prop... A new distribution for the fluctuation of materials' lifetime cumulative hazard rate is firstly proposed. The new distribution is extended from the Weibull distribution by adding a sine function. After that, the properties of its hazard rate function, cumulative hazard rate function, probability density function and cumulative distribution function are studied. The analysis result shows this distribution can well model the lifetime with variable and periodic hazard rate. Finally, the new distribution is verified with two real data sets as examples to demonstrate its capability. 展开更多
关键词 Cumulative hazard rate function Sine function Weibull distribution.
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THE OCCUPATION DENSITY FIELD FOR THE CATALYTIC SUPER-BROWNIAN MOTION
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作者 HONG WENMING(Institute of Mathematics, Fudan University Shanghai 200433, China) 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1999年第4期447-454,共8页
It is proved that the occupation time of the catalytic super-Brownian motion is absolutely continuous for d = 1, and the occupation density field is jointly continuous and jointly Holder continuous.
关键词 Branching rate functional Brownian collision local time Catalytic super-Brownian motion Occupation time Occupation density field
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