Let a_(1),a_(2),a_(3)be nonzero integers with gcd(a_(1),a_(2),a_(3))=1,and let k be any positive integer,K=max[3,|a_(1)|,|a_(2)|,|a_(3)|,k].Suppose that l_(1),l_(2),l_(3)are integers each coprime to k.Suppose further ...Let a_(1),a_(2),a_(3)be nonzero integers with gcd(a_(1),a_(2),a_(3))=1,and let k be any positive integer,K=max[3,|a_(1)|,|a_(2)|,|a_(3)|,k].Suppose that l_(1),l_(2),l_(3)are integers each coprime to k.Suppose further that b is any integer satisfying some necessary congruent conditions.The solvability of linear equation a_(1)p_(1)+a_(2)p_(2)+a_(3)p_(3)=b(p_(j)=l_(j)(mod k),1≤j≤3)with prime variables pi,p_(2),ps is investigated.It is proved that if ai,a_(2),a_(3)are all positive,then the above equation is solvable whenever b≥K^(25);if a,a_(2),a_(3)are not all of the same sign,then the above equation has a solution p_(1),p_(2),p_(3)satisfying max(p_(1),p_(2),p_(3))≤3|b|+K^(25).展开更多
Let φ(n) denote the Euler-totient function, we study the distribution of solutions of φ(n) ≤ x in arithmetic progressions, where n ≡ l(mod q) and an asymptotic formula was obtained by Perron formula.
Recently Elliott studied the distribution of primes in arithmetic progressions whose moduli can be divisible by highpowers of a given integer and showed that for integer a≥2 and real number A>0. There is a B=B(A)&...Recently Elliott studied the distribution of primes in arithmetic progressions whose moduli can be divisible by highpowers of a given integer and showed that for integer a≥2 and real number A>0. There is a B=B(A)>0 such that , holds uniformly for moduli that are powers of a. In this paper we are able to improve his result.展开更多
Learning progressions divide the logical system of a subject into ordered and continuously developing levels that are suitable for the cognitive development level of students,which plays an important role in understan...Learning progressions divide the logical system of a subject into ordered and continuously developing levels that are suitable for the cognitive development level of students,which plays an important role in understanding students’learning process.This paper focuses on the theme of“kinetic energy”in high school physics as the research object.Firstly,the concept map was used to represent the relationship between knowledge,and then five core concepts were selected based on the opinions of high school teachers.Secondly,the test tools were compiled and tested based on the relevant test questions.Finally,the paper analyzed the results based on the Rasch model,clarified students’cognitive development level of“kinetic energy”and constructed the learning progressions of“kinetic energy”based on the logical order of subject knowledge.The research provides theoretical and methodological support for the study of other subjects and learning progressions,and provides a valuable reference for high school teachers to effectively carry out the instruction of“kinetic energy.”展开更多
For any x ∈ （0, 1] （except at most countably many points）, there exists a unique sequence {dn（x）}n≥1 of integers, called the digit sequence of x, such that x =∞ ∑j=1 1/d1（x）（d1（x）-1）……dj-1（x）（dj-1...For any x ∈ （0, 1] （except at most countably many points）, there exists a unique sequence {dn（x）}n≥1 of integers, called the digit sequence of x, such that x =∞ ∑j=1 1/d1（x）（d1（x）-1）……dj-1（x）（dj-1（x）-1）dj（x）. The dexter infinite series expansion is called the Liiroth expansion of x. This paper is con- cerned with the size of the set of points x whose digit sequence in its Liiroth expansion is strictly increasing and contains arbitrarily long arithmetic progressions with arbitrary com- mon difference. More precisely, we determine the Hausdorff dimension of the above set.展开更多
Targeting drug delivery systems mediated by nanoparticles has shown great potential in the diagnosis and treatment of cancer.However,influences of different tumor progressions on the accumulation of nanoparticles,espe...Targeting drug delivery systems mediated by nanoparticles has shown great potential in the diagnosis and treatment of cancer.However,influences of different tumor progressions on the accumulation of nanoparticles,especially the ligand-modified active targeting nanoparticles are seldom exploited.In this work,the accumulation and penetration of RGD-modified gold nanoparticles(active AuNPs)with different sizes were investigated in orthotopic breast cancer with different tumor progressions.The results showed that the smallest active AuNPs had better accumulation and permeation effects in early tumor tissues with the relatively looser extracellular matrix,larger gaps,lower interstitial fluid pressure,and less receptor expression,which was due to size effects.However,the larger active AuNPs had better accumulation and penetration effects in late tumor tissues with highly expressed target receptors integrinαvβ3 because of the multivalent interactions between larger active nanoparticles and integrinαvβ3.In the midterm,tumor accumulation of active AuNPs was equally influenced by size effects and multivalent interactions.Therefore,RGD-modified nanoparticles with sizes of 7 and 90 nm accumulated more in tumors.This study will guide a rational design of active targeting nanoparticles for enhancing the diagnosis and treatment of tumors based on their progressions.展开更多
Let k be a positive integer.Denote by D_(1/k)the least integer d such that for every set A of nonnegative integers with the lower density 1/k,the set(k+1)A contains an infinite arithmetic progression with difference a...Let k be a positive integer.Denote by D_(1/k)the least integer d such that for every set A of nonnegative integers with the lower density 1/k,the set(k+1)A contains an infinite arithmetic progression with difference at most d,where(k+1)A is the set of all sums of k+1 elements(not necessarily distinct)of A.Chen and Li(2019)conjectured that D_(1/k)=k~2+o(k~2).The purpose of this paper is to confirm the above conjecture.We also prove that D_(1/k)is a prime for all sufficiently large integers k.展开更多
In this paper we study the distribution of primes in quadratic progressions on average. Our result improves a previous result of Baier and Zhao in some aspects.
Let(λ_f(n))_(n≥1)be the Hecke eigenvalues of either a holomorphic Hecke eigencuspform or a Hecke-Maass cusp form f.We prove that,for any fixedη>0,under the Ramanujan-Petersson conjecture for GL_(2)Maass forms,th...Let(λ_f(n))_(n≥1)be the Hecke eigenvalues of either a holomorphic Hecke eigencuspform or a Hecke-Maass cusp form f.We prove that,for any fixedη>0,under the Ramanujan-Petersson conjecture for GL_(2)Maass forms,the Rankin-Selberg coefficients(λ_f(n)^(2))_(n≥1)admit a level of distributionθ=2/5+1/260-ηin arithmetic progressions.展开更多
This lecture note is mainly about arithmetic progressions,different regularity lemmas and removal lemmas.We will be very brief most of the time,trying to avoid technical details,even definitions.For most technical det...This lecture note is mainly about arithmetic progressions,different regularity lemmas and removal lemmas.We will be very brief most of the time,trying to avoid technical details,even definitions.For most technical details,we refer the reader to references.Apart from arithmetic progressions,we also discuss property testing and extremal graph theory.展开更多
Far from being mere rhetoric or abstract theory,Chinese-style modernisation is a concrete reality best grasped through direct experience.Before arriving in China,my knowledge of Chinese modernisation was based mainly ...Far from being mere rhetoric or abstract theory,Chinese-style modernisation is a concrete reality best grasped through direct experience.Before arriving in China,my knowledge of Chinese modernisation was based mainly on reading,classroom education,and accounts from colleagues who had already travelled around the country.展开更多
Active inflammation in“inactive”progressive multiple sclerosis:Traditionally,the distinction between relapsing-remitting multiple sclerosis and progressive multiple sclerosis(PMS)has been framed as an inflammatory v...Active inflammation in“inactive”progressive multiple sclerosis:Traditionally,the distinction between relapsing-remitting multiple sclerosis and progressive multiple sclerosis(PMS)has been framed as an inflammatory versus degenerative dichotomy.This was based on a broad misconception regarding essentially all neurodegenerative conditions,depicting the degenerative process as passive and immune-independent occurring as a late byproduct of active inflammation in the central nervous system(CNS),which is(solely)systemically driven.展开更多
BACKGROUND Data comparing the outcomes of hepatocellular carcinoma(HCC)ablation by multibipolar radiofrequency ablation(mbp-RFA)and microwave ablation(MWA)are lacking.This study compares safety and efficacy of the two...BACKGROUND Data comparing the outcomes of hepatocellular carcinoma(HCC)ablation by multibipolar radiofrequency ablation(mbp-RFA)and microwave ablation(MWA)are lacking.This study compares safety and efficacy of the two techniques in treatment-naive HCC.AIM To compare the risk of local tumor progression(LTP)according to the technique;secondary endpoints included technique efficacy rate at one-month,overall survival and major complication rate.METHODS A bi-institutional retrospective analysis of patients undergoing treatment-naive HCC ablation by either technique was performed.Inverse probability of treatment weighting was used to compare the two groups.Mixed effects multivariate Cox regression was applied to identify risk factors for LTP.RESULTS A total of 362 patients(mean age,66.1±6.2 years,308 men)were included,of which 242(323 tumors)treated by mbp-RFA and 120(168 tumors)by MWA.After a median follow-up of 27 months,cumulative LTP was 11.4%after mbp-RFA and 25.2%after MWA.Independent risk factors for LTP at multivariate analysis were MWA(hazard ratio=2.85,P<0.001)and tumor size(hazard ratio=1.08,P<0.001).Two-year LTP-free survival was higher after mbp-RFA than MWA regardless of size(<3 cm:96%vs 87.1%,P<0.01;≥3 cm:87.5%vs 74%,P=0.04).Technique efficacy rate was higher after mbp-RFA(94.1%vs 87.5%,P=0.01).No difference was observed in major complication rate(9.5%vs 7.5%,P=0.59),nor 5-year overall survival(63.6%vs 58.3%,P=0.33).CONCLUSION Mbp-RFA leads to better local tumor control of treatment-naïve HCC than MWA regardless of tumor size and has better primary efficacy,while maintaining a comparable safety profile.展开更多
Colorectal cancer remains one of the leading causes of morbidity and mortality worldwide.Despite notable advances in early detection and therapeutic strategies,the molecular mechanisms underlying tumor survival,chemot...Colorectal cancer remains one of the leading causes of morbidity and mortality worldwide.Despite notable advances in early detection and therapeutic strategies,the molecular mechanisms underlying tumor survival,chemotherapy resistance,and metastasis are not yet fully understood.MicroRNAs(miRNAs)have emerged as pivotal regulators of cancer development,as they modulate gene expression and orchestrate key signaling pathways.However,the epigenetic mechanisms that control miRNA expression and their downstream gene targets remain largely unclear.In this review,we highlight the critical role of the colorectal cancer microenvironment in influencing miRNA expression and discuss how this regulation contributes to tumorigenesis.A better understanding of these processes may lead to the identification of novel therapeutic targets and strategies to prevent recurrence.展开更多
China’s“common prosperity”policy is a multidimensional pursuit of social and economic progress aimed at full realization by 2050.A CHIEVING common prosperity–prosperity that is universally shared–has been a longs...China’s“common prosperity”policy is a multidimensional pursuit of social and economic progress aimed at full realization by 2050.A CHIEVING common prosperity–prosperity that is universally shared–has been a longstanding aspiration of the Chinese government.展开更多
AIM:To build a functional generalized estimating equation(GEE)model to detect glaucomatous visual field progression and compare the performance of the proposed method with that of commonly employed algorithms.METHODS:...AIM:To build a functional generalized estimating equation(GEE)model to detect glaucomatous visual field progression and compare the performance of the proposed method with that of commonly employed algorithms.METHODS:Totally 716 eyes of 716 patients with primary open angle glaucoma(POAG)with at least 5 reliable 24-2 test results and 2y of follow-up were selected.The functional GEE model was used to detect perimetric progression in the training dataset(501 eyes).In the testing dataset(215 eyes),progression was evaluated the functional GEE model,mean deviation(MD)and visual field index(VFI)rates of change,Advanced Glaucoma Intervention Study(AGIS)and Collaborative Initial Glaucoma Treatment Study(CIGTS)scores,and pointwise linear regression(PLR).RESULTS:The proposed method showed the highest proportion of eyes detected as progression(54.4%),followed by the VFI rate(34.4%),PLR(23.3%),and MD rate(21.4%).The CIGTS and AGIS scores had a lower proportion of eyes detected as progression(7.9%and 5.1%,respectively).The time to detection of progression was significantly shorter for the proposed method than that of other algorithms(adjusted P≤0.019).The VFI rate displayed moderate pairwise agreement with the proposed method(k=0.47).CONCLUSION:The functional GEE model shows the highest proportion of eyes detected as perimetric progression and the shortest time to detect perimetric progression in patients with POAG.展开更多
The aging process is an inexorable fact throughout our lives and is considered a major factor in develo ping neurological dysfunctions associated with cognitive,emotional,and motor impairments.Aging-associated neurode...The aging process is an inexorable fact throughout our lives and is considered a major factor in develo ping neurological dysfunctions associated with cognitive,emotional,and motor impairments.Aging-associated neurodegenerative diseases are characterized by the progressive loss of neuronal structure and function.展开更多
With the gradual advancement of research methods and technologies,various biological processes have been identified as playing roles in the pathogenesis of neurodegenerative diseases.However,current descriptions of th...With the gradual advancement of research methods and technologies,various biological processes have been identified as playing roles in the pathogenesis of neurodegenerative diseases.However,current descriptions of these biological processes do not fully explain the onset,progression,and development of these conditions.Therefore,exploration of the pathogenesis of neurodegenerative diseases remains a valuable area of research.This review summarizes the potential common pathogeneses of Alzheimer’s disease,Parkinson’s disease,amyotrophic lateral sclerosis,Huntington’s disease,frontotemporal lobar dementia,and Lewy body disease.Research findings have indicated that several common biological processes,including aging,genetic factors,progressive neuronal dysfunction,neuronal death and apoptosis,protein misfolding and aggregation,neuroinflammation,mitochondrial dysfunction,axonal transport defects,and gut microbiota dysbiosis,are involved in the pathogenesis of these six neurodegenerative diseases.Based on current information derived from diverse areas of research,these biological processes may form complex pathogenic networks that lead to distinctive types of neuronal death in neurodegenerative diseases.Furthermore,promoting the regeneration of damaged neurons may be achievable through the repair of affected neural cells if the underlying pathogenesis can be prevented or reversed.Hence,these potential common biological processes may represent only very small,limited elements within numerous intricate pathogenic networks associated with neurodegenerative diseases.In clinical treatment,interfering with any single biological process has proven insufficient to completely halt the progression of neurodegenerative diseases.Therefore,future research on the pathogenesis of neurodegenerative diseases should focus on uncovering the complex pathogenic networks,rather than isolating individual biological processes.Based on this,therapies that aim to block or reverse various targets involved in the potential pathogenic mechanisms of neurodegenerative diseases may be promising directions,as current treatment methods that focus on halting a single pathogenic factor have not achieved satisfactory efficacy.展开更多
In this paper, we give an explicit numerical upper bound for the moduli of arithmetic progressions, in which the ternary Goldbach problem is solvable. Our result implies a quantitative upper bound for the Linnik const...In this paper, we give an explicit numerical upper bound for the moduli of arithmetic progressions, in which the ternary Goldbach problem is solvable. Our result implies a quantitative upper bound for the Linnik constant.展开更多
Abstract For relatively prime positive integers u0 and r, and for 0 〈 k ≤ n, define uk ：= u0 ＋ kr. Let Ln ：= 1cm（u0,u1,... ,un） and let a,l≥2 be any integers. In this paper, the authors show that, for integers...Abstract For relatively prime positive integers u0 and r, and for 0 〈 k ≤ n, define uk ：= u0 ＋ kr. Let Ln ：= 1cm（u0,u1,... ,un） and let a,l≥2 be any integers. In this paper, the authors show that, for integers α≥ a, r ≥max（a,l - 1） and n ≥lατ, the following inequality holds Ln≥u0r^（l-1）α＋a-l（r＋1）^n.Particularly, letting l = 3 yields an improvement on the best previous lower bound on Ln obtained by Hong and Kominers in 2010.展开更多
文摘Let a_(1),a_(2),a_(3)be nonzero integers with gcd(a_(1),a_(2),a_(3))=1,and let k be any positive integer,K=max[3,|a_(1)|,|a_(2)|,|a_(3)|,k].Suppose that l_(1),l_(2),l_(3)are integers each coprime to k.Suppose further that b is any integer satisfying some necessary congruent conditions.The solvability of linear equation a_(1)p_(1)+a_(2)p_(2)+a_(3)p_(3)=b(p_(j)=l_(j)(mod k),1≤j≤3)with prime variables pi,p_(2),ps is investigated.It is proved that if ai,a_(2),a_(3)are all positive,then the above equation is solvable whenever b≥K^(25);if a,a_(2),a_(3)are not all of the same sign,then the above equation has a solution p_(1),p_(2),p_(3)satisfying max(p_(1),p_(2),p_(3))≤3|b|+K^(25).
基金Supported by the National Natural Science Foundation of China（11271249） Supported by the Scientific and Technological Research Program of Chongqing Municipal Education Commission（1601213） Supported by the Scientific Research Program of Yangtze Normal University（2012XJYBO31）
文摘Let φ(n) denote the Euler-totient function, we study the distribution of solutions of φ(n) ≤ x in arithmetic progressions, where n ≡ l(mod q) and an asymptotic formula was obtained by Perron formula.
文摘Recently Elliott studied the distribution of primes in arithmetic progressions whose moduli can be divisible by highpowers of a given integer and showed that for integer a≥2 and real number A>0. There is a B=B(A)>0 such that , holds uniformly for moduli that are powers of a. In this paper we are able to improve his result.
基金Jilin Province Education Science“14th Five Year Plan”2021 Annual Project“Research on Middle School Physics Teaching Based on STEM Education Concept”(GH21032).
文摘Learning progressions divide the logical system of a subject into ordered and continuously developing levels that are suitable for the cognitive development level of students,which plays an important role in understanding students’learning process.This paper focuses on the theme of“kinetic energy”in high school physics as the research object.Firstly,the concept map was used to represent the relationship between knowledge,and then five core concepts were selected based on the opinions of high school teachers.Secondly,the test tools were compiled and tested based on the relevant test questions.Finally,the paper analyzed the results based on the Rasch model,clarified students’cognitive development level of“kinetic energy”and constructed the learning progressions of“kinetic energy”based on the logical order of subject knowledge.The research provides theoretical and methodological support for the study of other subjects and learning progressions,and provides a valuable reference for high school teachers to effectively carry out the instruction of“kinetic energy.”
文摘For any x ∈ （0, 1] （except at most countably many points）, there exists a unique sequence {dn（x）}n≥1 of integers, called the digit sequence of x, such that x =∞ ∑j=1 1/d1（x）（d1（x）-1）……dj-1（x）（dj-1（x）-1）dj（x）. The dexter infinite series expansion is called the Liiroth expansion of x. This paper is con- cerned with the size of the set of points x whose digit sequence in its Liiroth expansion is strictly increasing and contains arbitrarily long arithmetic progressions with arbitrary com- mon difference. More precisely, we determine the Hausdorff dimension of the above set.
基金supported by the Science and Technology Innovation Plan Laboratory Animal Research Project of Shanghai(23141900400)the National Natural Science Foundation of China(82172746 and 82473342)International Cooperation Project of Shanghai Science and Technology Innovation Plan(24410741500).
文摘Targeting drug delivery systems mediated by nanoparticles has shown great potential in the diagnosis and treatment of cancer.However,influences of different tumor progressions on the accumulation of nanoparticles,especially the ligand-modified active targeting nanoparticles are seldom exploited.In this work,the accumulation and penetration of RGD-modified gold nanoparticles(active AuNPs)with different sizes were investigated in orthotopic breast cancer with different tumor progressions.The results showed that the smallest active AuNPs had better accumulation and permeation effects in early tumor tissues with the relatively looser extracellular matrix,larger gaps,lower interstitial fluid pressure,and less receptor expression,which was due to size effects.However,the larger active AuNPs had better accumulation and penetration effects in late tumor tissues with highly expressed target receptors integrinαvβ3 because of the multivalent interactions between larger active nanoparticles and integrinαvβ3.In the midterm,tumor accumulation of active AuNPs was equally influenced by size effects and multivalent interactions.Therefore,RGD-modified nanoparticles with sizes of 7 and 90 nm accumulated more in tumors.This study will guide a rational design of active targeting nanoparticles for enhancing the diagnosis and treatment of tumors based on their progressions.
基金supported by National Natural Science Foundation of China(Grant Nos.12171243 and 11922113)the National Key Research and Development Program of China(Grant No.2021YFA1000700)。
文摘Let k be a positive integer.Denote by D_(1/k)the least integer d such that for every set A of nonnegative integers with the lower density 1/k,the set(k+1)A contains an infinite arithmetic progression with difference at most d,where(k+1)A is the set of all sums of k+1 elements(not necessarily distinct)of A.Chen and Li(2019)conjectured that D_(1/k)=k~2+o(k~2).The purpose of this paper is to confirm the above conjecture.We also prove that D_(1/k)is a prime for all sufficiently large integers k.
基金Supported by National Natural Science Foundation of China （Grant No. 10701048）, Shandong Province Natural Science Foundation （Crant No. ZR2009AM007）, and IIFSDU
文摘In this paper we study the distribution of primes in quadratic progressions on average. Our result improves a previous result of Baier and Zhao in some aspects.
文摘Let(λ_f(n))_(n≥1)be the Hecke eigenvalues of either a holomorphic Hecke eigencuspform or a Hecke-Maass cusp form f.We prove that,for any fixedη>0,under the Ramanujan-Petersson conjecture for GL_(2)Maass forms,the Rankin-Selberg coefficients(λ_f(n)^(2))_(n≥1)admit a level of distributionθ=2/5+1/260-ηin arithmetic progressions.
文摘This lecture note is mainly about arithmetic progressions,different regularity lemmas and removal lemmas.We will be very brief most of the time,trying to avoid technical details,even definitions.For most technical details,we refer the reader to references.Apart from arithmetic progressions,we also discuss property testing and extremal graph theory.
文摘Far from being mere rhetoric or abstract theory,Chinese-style modernisation is a concrete reality best grasped through direct experience.Before arriving in China,my knowledge of Chinese modernisation was based mainly on reading,classroom education,and accounts from colleagues who had already travelled around the country.
文摘Active inflammation in“inactive”progressive multiple sclerosis:Traditionally,the distinction between relapsing-remitting multiple sclerosis and progressive multiple sclerosis(PMS)has been framed as an inflammatory versus degenerative dichotomy.This was based on a broad misconception regarding essentially all neurodegenerative conditions,depicting the degenerative process as passive and immune-independent occurring as a late byproduct of active inflammation in the central nervous system(CNS),which is(solely)systemically driven.
文摘BACKGROUND Data comparing the outcomes of hepatocellular carcinoma(HCC)ablation by multibipolar radiofrequency ablation(mbp-RFA)and microwave ablation(MWA)are lacking.This study compares safety and efficacy of the two techniques in treatment-naive HCC.AIM To compare the risk of local tumor progression(LTP)according to the technique;secondary endpoints included technique efficacy rate at one-month,overall survival and major complication rate.METHODS A bi-institutional retrospective analysis of patients undergoing treatment-naive HCC ablation by either technique was performed.Inverse probability of treatment weighting was used to compare the two groups.Mixed effects multivariate Cox regression was applied to identify risk factors for LTP.RESULTS A total of 362 patients(mean age,66.1±6.2 years,308 men)were included,of which 242(323 tumors)treated by mbp-RFA and 120(168 tumors)by MWA.After a median follow-up of 27 months,cumulative LTP was 11.4%after mbp-RFA and 25.2%after MWA.Independent risk factors for LTP at multivariate analysis were MWA(hazard ratio=2.85,P<0.001)and tumor size(hazard ratio=1.08,P<0.001).Two-year LTP-free survival was higher after mbp-RFA than MWA regardless of size(<3 cm:96%vs 87.1%,P<0.01;≥3 cm:87.5%vs 74%,P=0.04).Technique efficacy rate was higher after mbp-RFA(94.1%vs 87.5%,P=0.01).No difference was observed in major complication rate(9.5%vs 7.5%,P=0.59),nor 5-year overall survival(63.6%vs 58.3%,P=0.33).CONCLUSION Mbp-RFA leads to better local tumor control of treatment-naïve HCC than MWA regardless of tumor size and has better primary efficacy,while maintaining a comparable safety profile.
文摘Colorectal cancer remains one of the leading causes of morbidity and mortality worldwide.Despite notable advances in early detection and therapeutic strategies,the molecular mechanisms underlying tumor survival,chemotherapy resistance,and metastasis are not yet fully understood.MicroRNAs(miRNAs)have emerged as pivotal regulators of cancer development,as they modulate gene expression and orchestrate key signaling pathways.However,the epigenetic mechanisms that control miRNA expression and their downstream gene targets remain largely unclear.In this review,we highlight the critical role of the colorectal cancer microenvironment in influencing miRNA expression and discuss how this regulation contributes to tumorigenesis.A better understanding of these processes may lead to the identification of novel therapeutic targets and strategies to prevent recurrence.
文摘China’s“common prosperity”policy is a multidimensional pursuit of social and economic progress aimed at full realization by 2050.A CHIEVING common prosperity–prosperity that is universally shared–has been a longstanding aspiration of the Chinese government.
基金Supported by the Korea Health Technology R&D Project through the Korea Health Industry Development Institute(KHIDI),funded by the Ministry of Health&Welfare,Republic of Korea(No.HR20C0026)the National Research Foundation of Korea(NRF)(No.RS-2023-00247504)the Patient-Centered Clinical Research Coordinating Center,funded by the Ministry of Health&Welfare,Republic of Korea(No.HC19C0276).
文摘AIM:To build a functional generalized estimating equation(GEE)model to detect glaucomatous visual field progression and compare the performance of the proposed method with that of commonly employed algorithms.METHODS:Totally 716 eyes of 716 patients with primary open angle glaucoma(POAG)with at least 5 reliable 24-2 test results and 2y of follow-up were selected.The functional GEE model was used to detect perimetric progression in the training dataset(501 eyes).In the testing dataset(215 eyes),progression was evaluated the functional GEE model,mean deviation(MD)and visual field index(VFI)rates of change,Advanced Glaucoma Intervention Study(AGIS)and Collaborative Initial Glaucoma Treatment Study(CIGTS)scores,and pointwise linear regression(PLR).RESULTS:The proposed method showed the highest proportion of eyes detected as progression(54.4%),followed by the VFI rate(34.4%),PLR(23.3%),and MD rate(21.4%).The CIGTS and AGIS scores had a lower proportion of eyes detected as progression(7.9%and 5.1%,respectively).The time to detection of progression was significantly shorter for the proposed method than that of other algorithms(adjusted P≤0.019).The VFI rate displayed moderate pairwise agreement with the proposed method(k=0.47).CONCLUSION:The functional GEE model shows the highest proportion of eyes detected as perimetric progression and the shortest time to detect perimetric progression in patients with POAG.
文摘The aging process is an inexorable fact throughout our lives and is considered a major factor in develo ping neurological dysfunctions associated with cognitive,emotional,and motor impairments.Aging-associated neurodegenerative diseases are characterized by the progressive loss of neuronal structure and function.
基金supported by the National Natural Science Foundation of China,No.82160255(to RX)the Natural Science Foundation of Jiangxi Province,No.20212BAB216026(to HL)+2 种基金Science and Technology Plan Project of Health Commission of Jiangxi Province,No.202110016(to HL)Science and Technology Plan Project of Jiangxi Provincial Administration of Traditional Chinese Medicine,No.2022B975(to HL)a grant from Jiangxi Province Key Laboratory of Neurology,No.2024SSY06081(to RX).
文摘With the gradual advancement of research methods and technologies,various biological processes have been identified as playing roles in the pathogenesis of neurodegenerative diseases.However,current descriptions of these biological processes do not fully explain the onset,progression,and development of these conditions.Therefore,exploration of the pathogenesis of neurodegenerative diseases remains a valuable area of research.This review summarizes the potential common pathogeneses of Alzheimer’s disease,Parkinson’s disease,amyotrophic lateral sclerosis,Huntington’s disease,frontotemporal lobar dementia,and Lewy body disease.Research findings have indicated that several common biological processes,including aging,genetic factors,progressive neuronal dysfunction,neuronal death and apoptosis,protein misfolding and aggregation,neuroinflammation,mitochondrial dysfunction,axonal transport defects,and gut microbiota dysbiosis,are involved in the pathogenesis of these six neurodegenerative diseases.Based on current information derived from diverse areas of research,these biological processes may form complex pathogenic networks that lead to distinctive types of neuronal death in neurodegenerative diseases.Furthermore,promoting the regeneration of damaged neurons may be achievable through the repair of affected neural cells if the underlying pathogenesis can be prevented or reversed.Hence,these potential common biological processes may represent only very small,limited elements within numerous intricate pathogenic networks associated with neurodegenerative diseases.In clinical treatment,interfering with any single biological process has proven insufficient to completely halt the progression of neurodegenerative diseases.Therefore,future research on the pathogenesis of neurodegenerative diseases should focus on uncovering the complex pathogenic networks,rather than isolating individual biological processes.Based on this,therapies that aim to block or reverse various targets involved in the potential pathogenic mechanisms of neurodegenerative diseases may be promising directions,as current treatment methods that focus on halting a single pathogenic factor have not achieved satisfactory efficacy.
基金Project supported partially by NNSF of China NSF of Henan Province
文摘In this paper, we give an explicit numerical upper bound for the moduli of arithmetic progressions, in which the ternary Goldbach problem is solvable. Our result implies a quantitative upper bound for the Linnik constant.
基金supported by the National Natural Science Foundation of China(No.10971145)the Ph.D.Programs Foundation of Ministry of Education of China(No.20100181110073)the Science&Technology Program of Sichuan Province(No.2013JY0125)
文摘Abstract For relatively prime positive integers u0 and r, and for 0 〈 k ≤ n, define uk ：= u0 ＋ kr. Let Ln ：= 1cm（u0,u1,... ,un） and let a,l≥2 be any integers. In this paper, the authors show that, for integers α≥ a, r ≥max（a,l - 1） and n ≥lατ, the following inequality holds Ln≥u0r^（l-1）α＋a-l（r＋1）^n.Particularly, letting l = 3 yields an improvement on the best previous lower bound on Ln obtained by Hong and Kominers in 2010.
