In this paper, a new Browder fixed point theorem is established in the noncompact sub-admissible subsets of noncompact hyperconvex metric spaces. As application, a Ky Fan section theorem and an intersection theorem ar...In this paper, a new Browder fixed point theorem is established in the noncompact sub-admissible subsets of noncompact hyperconvex metric spaces. As application, a Ky Fan section theorem and an intersection theorem are obtained.展开更多
Clinically, pulmonary embolism （PE） mostly comes from the lower extremity deep vein system, but if such pa- tients have no evidence of deep venous thrombosis （DVT）, other sources of emboli should be considered. It...Clinically, pulmonary embolism （PE） mostly comes from the lower extremity deep vein system, but if such pa- tients have no evidence of deep venous thrombosis （DVT）, other sources of emboli should be considered. It is very rare that embolus comes from the right heart system （in situ thrombosis）, Isolated fight ventricular noncompaction （iRVNC） can cause PE, but it has not been reported so far. Ventricular noncompaction （VNC） is an unusual cause of cardiomyopathy.展开更多
In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach space, a characterization using L-functions and provide a few generalization of Darbo fixed point theorem. Also, we introduce the...In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach space, a characterization using L-functions and provide a few generalization of Darbo fixed point theorem. Also, we introduce the concept of a bivariate Meir-Keleer condensing operator and prove some coupled fixed point theorems. As an application, we prove the existence of solutions for a large class of functional integral equations of Volterra type in two variables.展开更多
By applying a new existence theorem of quasi-equilibrium problems due to the author, some existence theorems of solutions for noncompact infinite optimization problems and noncompact constrained game problems are prov...By applying a new existence theorem of quasi-equilibrium problems due to the author, some existence theorems of solutions for noncompact infinite optimization problems and noncompact constrained game problems are proved in generalized convex spaces without linear structure. These theorems improve and generalize a number of important results in recent literature.展开更多
This paper deals with the preblem of existence and uniqueness of the stationary distributions (abbr., s. d.'s) for the processes constructed in [4] .The main results are stated in § 1. For the reader's co...This paper deals with the preblem of existence and uniqueness of the stationary distributions (abbr., s. d.'s) for the processes constructed in [4] .The main results are stated in § 1. For the reader's convenience we first restate the existence theorems (Theorem 1 and 2) of the processes given in [4]. Then two existence theorems (Theorem 3 and 4) and a uniqueness theorem (Theorem 5) for the s. d.'s of the processes are presented. The last result (Theorem 6), as an application of the previous ones, is about the Schlgl model which comes from nonequilibrium statisticali physics. The details of the proofs of Theorem 3—6 are given in § 2—4.展开更多
The global existence of the heat flow for harmonic maps from noncompact manifolds is considered. When L^m norm of the gradient of initial data is small, the existence of a global solution is proved.
In this paper,we study the existence of solutions to an implicit functional equation involving a fractional integral with respect to a certain function,which generalizes the Riemann-Liouville fractional integral and t...In this paper,we study the existence of solutions to an implicit functional equation involving a fractional integral with respect to a certain function,which generalizes the Riemann-Liouville fractional integral and the Hadaniard fractional integral.We establish an existence result to such kind of equations using a generalized version of Darbo＇s theorem associated to a certain measure of nonconipactness.Some examples are presented.展开更多
The main purpose of this paper is to prove a collection of new fixed point theorems and existence theorems for the nonlinear operator equation F（x） = αx （α≥〉 1） for so-called 1-set weakly contractive operators...The main purpose of this paper is to prove a collection of new fixed point theorems and existence theorems for the nonlinear operator equation F（x） = αx （α≥〉 1） for so-called 1-set weakly contractive operators on unbounded domains in Banach spaces. We also introduce the concept of weakly semi-closed operator at the origin and obtain a series of new fixed point theorems and the existence theorems for the nonlinear operator equation F（x） = αx （α≥1） for such class of operators. As consequences, the main results general- ize and improve the relevant results, which are obtained by O＇Regan and A. Ben Amar and M. Mnif in 1998 and 2009 respectively. In addition, we get the famous fixed point theorems of Leray-Schauder, Altman, Petryshyn and Rothe type in the case of weakly sequentially continuous, 1-set weakly contractive （μ-nonexpansive） and weakly semi-closed operators at the origin and their generalizations. The main condition in our results is formulated in terms of axiomatic measures of weak compactness.展开更多
We report a 35-year-old female patient with hypertrophic cardiomyopathy, left ventricular noncompaction, and Wolff-Parkinson-White EKG pattern. Several other family members present the same clinical condition. We spec...We report a 35-year-old female patient with hypertrophic cardiomyopathy, left ventricular noncompaction, and Wolff-Parkinson-White EKG pattern. Several other family members present the same clinical condition. We speculate that this phenotype is related to the genotypes PRKAG2 and LAMP2 represented by mutations of the genes encoding AMP-activated protein kinase (PRKAG2) and lysosome associated membrane protein 2 (LAMP2).展开更多
Let L be the Laplace-Beltrami operator.On an n-dimensional(n≥2),complete,noncompact Riemannian manifold M,we prove that if 0<α<1,s>α/2 and f∈Hs(M),then the fractional Schr?dinger propagator e(it|L|α/2)(f...Let L be the Laplace-Beltrami operator.On an n-dimensional(n≥2),complete,noncompact Riemannian manifold M,we prove that if 0<α<1,s>α/2 and f∈Hs(M),then the fractional Schr?dinger propagator e(it|L|α/2)(f)(x)→f(x)a.e.as t→0.In addition,for when M is a Lie group,the rate of the convergence is also studied.These results are a non-trivial extension of results on Euclidean spaces and compact manifolds.展开更多
The theory of metric spaces of fuzzy numbers has been established and found very convenient in many research fields on fuzzy analysis such as fuzzy integrals and differentials, fuzzy differential equations, fuzzy rand...The theory of metric spaces of fuzzy numbers has been established and found very convenient in many research fields on fuzzy analysis such as fuzzy integrals and differentials, fuzzy differential equations, fuzzy random variables and fuzzy stochastic processes etc.. But, a large part of this theory heavily depends on the condition that fuzzy number has to have compact support set and so fails to analyze and apply noncompact fuzzy numbers. The purpose of this paper is to introduce three classes of metrics on noncompact fuzzy number space and to discuss their basic properties, completeness and separability in detail.展开更多
Objectives: To analyse the clinical profile of consecutive cases of Left Ventricular Non Compaction (LVNC) with particular interest in non-compacted segments valuation. Methods: There were 18,000 patients seen from 20...Objectives: To analyse the clinical profile of consecutive cases of Left Ventricular Non Compaction (LVNC) with particular interest in non-compacted segments valuation. Methods: There were 18,000 patients seen from 2007 to 2010, with a complete evaluation including family history and personal cardiac history, clinical examination and electrocardiography. Diagnosis was based on three published definitions. Results: The diagnosis of LVNC was placed in 1.4% of cases. Clinical and echo-cardiographic data for the 250 cases of LVNC are presented. Trabecular meshwork was observed predominantly at the apex (91.6%), in the lateral and inferior wall (40.4% and 38.0% respectively), and less frequently in the posterior and anterior wall (21.6% and 9.2% respectively). Conclusions: This study suggests that LVNC is a form of cardiomyopathy with higher prevalence and relatively better prognosis than previously reported.展开更多
BACKGROUND Left ventricular(LV)noncompaction cardiomyopathy is a rare cardiomyopathic subtype that has been recognized in recent years and is being diagnosed at an increased rate.There is no consensus regarding the di...BACKGROUND Left ventricular(LV)noncompaction cardiomyopathy is a rare cardiomyopathic subtype that has been recognized in recent years and is being diagnosed at an increased rate.There is no consensus regarding the diagnosis of the disease,and increased trabeculation rates that meet the existing diagnostic criteria may even be present in healthy asymptomatic people.This indicates that differentiating criteria for diagnosis are needed.AIM To examine the increase in myocardial trabeculation and the change in left ventricular global and regional functions.METHODS This retrospective study included 65 patients(28 females,37 males)diagnosed with LV noncompaction cardiomyopathy who underwent cardiac magnetic resonance imaging between January 2011 and August 2016 and had a noncompacted/compacted myocardial thickness ratio of over 2.3 in more than one segment in the left ventricle.The distribution and ratios of trabeculations in apical,midventricular,and basal regions were examined in short-axis images obtained from cardiac magnetic resonance.In addition,by using short-axis cine images,regional ejection fraction(EF)and global EF were calculated using the Simpson method in the left ventricle at apical,basal,and midventricular levels.RESULTS While the number of trabeculated segments were similar at the apical(3.2±1.0)and midventricular levels,a statistically significant level of involvement was not observed at the basal level(0.4±0.9)(P>0.05).The highest noncompacted/compacted(trabeculation)ratio was observed at the apical level(3.9±1.4),while this ratio was higher at the anterior(59%-89.4%)and lateral(62%-84.8%)segments(P>0.05).Global EF was positively correlated with apical,midventricular,and basal regional EF(P<0.05).However,there was no significant correlation between regional EF and the number of trabeculated segments or trabeculation ratio in all three regions;nor was there a significant correlation between regional EF and the number of trabeculated segments or trabeculation ratio in the entire LV(P>0.05).CONCLUSION No global or regional relationship was observed between LV dysfunction and trabeculation rate or the number of trabeculated segments.This limits the usefulness of change in LV functions in the differentiation between normal and pathological trabeculation.展开更多
Background: Left ventricular noncompaction with multiple left ventricular thrombi can be revealed by echocardiography, and early diagnosis seems to be imperative to prevent significant embolic events. Case Report: A 5...Background: Left ventricular noncompaction with multiple left ventricular thrombi can be revealed by echocardiography, and early diagnosis seems to be imperative to prevent significant embolic events. Case Report: A 57-year-old woman presented with symptoms of heart failure. Two-dimensional transthoracic echocardiogram demonstrated a dilated and diffusely hypokinetic left ventricle with severe impaired left ventricular systolic function. Moreover, a markedly thickened endocardium at the left ventricular apex and middle segment with numerous, excessively prominent trabeculations and deep intertrabecular recesses were present. During systole, the ratio of the noncompacted to compacted myocardial layers at the site of the maximal wall thickness was above two, a characteristic finding in left ventricular non-compaction. Multiple mobile, homogeneous, echodense thrombi were identified in the left ventricle, with the largest one in the apical noncompacted segment (dimensions, 32 × 14 mm). Cardiac magnetic resonance imaging confirmed the diagnosis of noncompacted myocardium with the presence of multiple thrombi. After anticoagulant therapy, her symptoms improved and thrombi dissolved. Unexpectedly, she re-admitted to the cardiovascular unit with progressive dyspnea. Transthoracic echocardiogram showed new large right atrial thrombi, with the largest one was 43 × 38 mm compared to the echocardiogram done 11 months ago. The patient was anticoagulated with continuous heparin infusion for several days followed by oral Apixaban. After 4 weeks, the floating thrombi completely disappeared. After a 26-month follow-up, the patient’s condition was stable without embolic complications. Conclusion: Echocardiography was the cornerstone of diagnostic methods for early detecting left ventricular thrombi to eventually prevent embolic events.展开更多
Background Noncompaction of ventricular myocardium （NVM） is a rare type of primary cardiomyopathy. The disease is caused by the disorder in the densification of the myocardium in the early stage of the embryo proces...Background Noncompaction of ventricular myocardium （NVM） is a rare type of primary cardiomyopathy. The disease is caused by the disorder in the densification of the myocardium in the early stage of the embryo process. The morphological characteristics are projecting trabeculation in the ventricle and the deep trabecular space interlinked with ventricular chamber. In recent years, many studies have found that the left ventricular growth associated genetic mutation is closely related to the occurrence of NVM. The most clinical manifestations such as heart failure, thromboembolism and arrhythmia are specific. Echocardiography is the most commonly used tech- nique for the diagnosis of NVM. Cardiac computed tomography （CT） scan, cardiac magnetic resonance imaging and left ventricular angiography are other important techniques for its diagnosis. The NVM patients have a long course of disease, poor prognosis and a high rate of misdiagnosis. This article reviews the research progress in the aspects of epidemiological characteristics, genetic characteristics, clinical manifestations, pathophysiology, diagnosis, treatment and so on, in order to provide the basis for the diagnosis and treatment of NVM.展开更多
ABSTRACT Objectives This study used cardiac magnetic resonance （CMR） to compare standard criteria for left ventricular non- compaction （LVNC）. Background LVNC as a distinct cardiomyopathy is supported by a growi...ABSTRACT Objectives This study used cardiac magnetic resonance （CMR） to compare standard criteria for left ventricular non- compaction （LVNC）. Background LVNC as a distinct cardiomyopathy is supported by a growing number of publications. Echocardiographic and CMR criteria have been established to diagnosis LVNC but have led to concerns of diagnostic accura- cy.展开更多
This paper is concerned with the numerical solution of Volterra integro-differential equations with noncompact operators.The focus is on the problems with weakly singular solutions.To handle the initial weak singulari...This paper is concerned with the numerical solution of Volterra integro-differential equations with noncompact operators.The focus is on the problems with weakly singular solutions.To handle the initial weak singularity of the solution,a fractional collocation method is applied.A rigorous hp-version error analysis of the numerical method under a weighted H1-norm is carried out.The result shows that the method can achieve high order convergence for such equations.Numerical experiments are also presented to confirm the effectiveness of the proposed method.展开更多
This paper is committed to dealing with the measure of noncompactness of operators in Banach spaces.First,we give a characterization of the measure of noncompact Hausdorff operators with respect to the Hausdorff metri...This paper is committed to dealing with the measure of noncompactness of operators in Banach spaces.First,we give a characterization of the measure of noncompact Hausdorff operators with respect to the Hausdorff metric.Then,we show a formula of the Hausdorff measure of noncompactness of operators in l^(p)(1≤p<∞).Finally,several common equivalent measures of noncompactness of operators and related proofs are provided.展开更多
This paper is devoted to the existence results for a class of neutral abstract fractional differential equations involving the composite relaxation process.Based on the Laplace transform,the semigroup theory and the W...This paper is devoted to the existence results for a class of neutral abstract fractional differential equations involving the composite relaxation process.Based on the Laplace transform,the semigroup theory and the Wright functions,we first introduce a definition of mild solutions to the considered problem.By means of the noncompactness of measure and the fixed point technique,we establish existence criteria of solutions.Finally,an example is presented to illustrate our main result.展开更多
Contrast echocardiography with left ventricular opacification （LVO） improves the definition of endocardium in two-dimensional echocardiography （2DE）. This study was aimed to determine whether LVO offered added dia...Contrast echocardiography with left ventricular opacification （LVO） improves the definition of endocardium in two-dimensional echocardiography （2DE）. This study was aimed to determine whether LVO offered added diagnostic value in noncompaetion of left ventricular myocardium （NCVM）. A total of 85 patients （40± 20 years, 54 males） with suspected NCVM were subjected to transthoracic 2DE and LVO, and 40 healthy volunteers were examined with 2DE and assigned as control subjects. The location of NCVM, the thickness ratio of noncompacted to compacted myocardium （NCR）, and the cavity size and ejection fraction of LV were quantified. Results revealed that NCVM was mainly located in the LV medium （53.2%）, apical （46.2%） segments, and lateral wall （39.8%）. The NCR obtained through LVO was greater than that detected through 2DE （4.2 ±1.3 vs. 3.3 ±1.2, P 〈 0.001）, and higher inter-correlations and less intra- and inter-observer variabilities were determined in the former than in the latter. The NCVM detection rates were also increased from 63.5% via 2DE to 83.5% via LVO and 89.4% via 2DE combined with LVO （2DE ＋ LVO） （P = 0.0004）. The LV cavity size was greater and the LV ejection fraction （LVEF） was lower in the NCVM patients than in the control group （P 〈 0.01）. In the NCVM group, the LV cavity size was higher and the LVEF was lower in LVO than in 2DE （P 〈 0.01）. In conclusion, contrast echocardiography contributes significant sensitivity and reproducibility to routine transthoraeic echoeardiography in NCVM diagnosis. Therefore, this technique should be clinically performed to diagnose suspected NCVM.展开更多
基金Supported by the Scientific Research Foundation of Bijie University(20072001)
文摘In this paper, a new Browder fixed point theorem is established in the noncompact sub-admissible subsets of noncompact hyperconvex metric spaces. As application, a Ky Fan section theorem and an intersection theorem are obtained.
文摘Clinically, pulmonary embolism （PE） mostly comes from the lower extremity deep vein system, but if such pa- tients have no evidence of deep venous thrombosis （DVT）, other sources of emboli should be considered. It is very rare that embolus comes from the right heart system （in situ thrombosis）, Isolated fight ventricular noncompaction （iRVNC） can cause PE, but it has not been reported so far. Ventricular noncompaction （VNC） is an unusual cause of cardiomyopathy.
文摘In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach space, a characterization using L-functions and provide a few generalization of Darbo fixed point theorem. Also, we introduce the concept of a bivariate Meir-Keleer condensing operator and prove some coupled fixed point theorems. As an application, we prove the existence of solutions for a large class of functional integral equations of Volterra type in two variables.
文摘By applying a new existence theorem of quasi-equilibrium problems due to the author, some existence theorems of solutions for noncompact infinite optimization problems and noncompact constrained game problems are proved in generalized convex spaces without linear structure. These theorems improve and generalize a number of important results in recent literature.
文摘This paper deals with the preblem of existence and uniqueness of the stationary distributions (abbr., s. d.'s) for the processes constructed in [4] .The main results are stated in § 1. For the reader's convenience we first restate the existence theorems (Theorem 1 and 2) of the processes given in [4]. Then two existence theorems (Theorem 3 and 4) and a uniqueness theorem (Theorem 5) for the s. d.'s of the processes are presented. The last result (Theorem 6), as an application of the previous ones, is about the Schlgl model which comes from nonequilibrium statisticali physics. The details of the proofs of Theorem 3—6 are given in § 2—4.
基金Supported by the National Natural Science Foundation of China (1057115610671079+1 种基金10701064)the Zijin Project of Zhejiang University
文摘The global existence of the heat flow for harmonic maps from noncompact manifolds is considered. When L^m norm of the gradient of initial data is small, the existence of a global solution is proved.
基金support by the Ministerio de Economica y Competitividad of Spain under grant MTM2013-43014-PXUNTA under grants R2014/002 and GRC2015/004+1 种基金co-financed by the European Community fund FEDERextends his appreciation to Distinguished Scientist Fellowship Program(DSFP)at King Saud University(Saudi Arabia)
文摘In this paper,we study the existence of solutions to an implicit functional equation involving a fractional integral with respect to a certain function,which generalizes the Riemann-Liouville fractional integral and the Hadaniard fractional integral.We establish an existence result to such kind of equations using a generalized version of Darbo＇s theorem associated to a certain measure of nonconipactness.Some examples are presented.
基金Supported in part by the Foundation of Hanshan Normal University, China
文摘The main purpose of this paper is to prove a collection of new fixed point theorems and existence theorems for the nonlinear operator equation F（x） = αx （α≥〉 1） for so-called 1-set weakly contractive operators on unbounded domains in Banach spaces. We also introduce the concept of weakly semi-closed operator at the origin and obtain a series of new fixed point theorems and the existence theorems for the nonlinear operator equation F（x） = αx （α≥1） for such class of operators. As consequences, the main results general- ize and improve the relevant results, which are obtained by O＇Regan and A. Ben Amar and M. Mnif in 1998 and 2009 respectively. In addition, we get the famous fixed point theorems of Leray-Schauder, Altman, Petryshyn and Rothe type in the case of weakly sequentially continuous, 1-set weakly contractive （μ-nonexpansive） and weakly semi-closed operators at the origin and their generalizations. The main condition in our results is formulated in terms of axiomatic measures of weak compactness.
文摘We report a 35-year-old female patient with hypertrophic cardiomyopathy, left ventricular noncompaction, and Wolff-Parkinson-White EKG pattern. Several other family members present the same clinical condition. We speculate that this phenotype is related to the genotypes PRKAG2 and LAMP2 represented by mutations of the genes encoding AMP-activated protein kinase (PRKAG2) and lysosome associated membrane protein 2 (LAMP2).
基金supported partly by the NationalNatural Science Foundation of China(12071437)the Natural Science Foundation from the Education Department of Anhui Province(KJ2020A0044)+2 种基金the Research Fund Project of Chaohu University(KYQD-2023016)the High Level Scientific Research Achievement Award Cultivation Project of Chaohu University(kj20zkjp04)the Key Construction Discipline of Chaohu University(kj22zdjsxk01)。
文摘Let L be the Laplace-Beltrami operator.On an n-dimensional(n≥2),complete,noncompact Riemannian manifold M,we prove that if 0<α<1,s>α/2 and f∈Hs(M),then the fractional Schr?dinger propagator e(it|L|α/2)(f)(x)→f(x)a.e.as t→0.In addition,for when M is a Lie group,the rate of the convergence is also studied.These results are a non-trivial extension of results on Euclidean spaces and compact manifolds.
文摘The theory of metric spaces of fuzzy numbers has been established and found very convenient in many research fields on fuzzy analysis such as fuzzy integrals and differentials, fuzzy differential equations, fuzzy random variables and fuzzy stochastic processes etc.. But, a large part of this theory heavily depends on the condition that fuzzy number has to have compact support set and so fails to analyze and apply noncompact fuzzy numbers. The purpose of this paper is to introduce three classes of metrics on noncompact fuzzy number space and to discuss their basic properties, completeness and separability in detail.
文摘Objectives: To analyse the clinical profile of consecutive cases of Left Ventricular Non Compaction (LVNC) with particular interest in non-compacted segments valuation. Methods: There were 18,000 patients seen from 2007 to 2010, with a complete evaluation including family history and personal cardiac history, clinical examination and electrocardiography. Diagnosis was based on three published definitions. Results: The diagnosis of LVNC was placed in 1.4% of cases. Clinical and echo-cardiographic data for the 250 cases of LVNC are presented. Trabecular meshwork was observed predominantly at the apex (91.6%), in the lateral and inferior wall (40.4% and 38.0% respectively), and less frequently in the posterior and anterior wall (21.6% and 9.2% respectively). Conclusions: This study suggests that LVNC is a form of cardiomyopathy with higher prevalence and relatively better prognosis than previously reported.
文摘BACKGROUND Left ventricular(LV)noncompaction cardiomyopathy is a rare cardiomyopathic subtype that has been recognized in recent years and is being diagnosed at an increased rate.There is no consensus regarding the diagnosis of the disease,and increased trabeculation rates that meet the existing diagnostic criteria may even be present in healthy asymptomatic people.This indicates that differentiating criteria for diagnosis are needed.AIM To examine the increase in myocardial trabeculation and the change in left ventricular global and regional functions.METHODS This retrospective study included 65 patients(28 females,37 males)diagnosed with LV noncompaction cardiomyopathy who underwent cardiac magnetic resonance imaging between January 2011 and August 2016 and had a noncompacted/compacted myocardial thickness ratio of over 2.3 in more than one segment in the left ventricle.The distribution and ratios of trabeculations in apical,midventricular,and basal regions were examined in short-axis images obtained from cardiac magnetic resonance.In addition,by using short-axis cine images,regional ejection fraction(EF)and global EF were calculated using the Simpson method in the left ventricle at apical,basal,and midventricular levels.RESULTS While the number of trabeculated segments were similar at the apical(3.2±1.0)and midventricular levels,a statistically significant level of involvement was not observed at the basal level(0.4±0.9)(P>0.05).The highest noncompacted/compacted(trabeculation)ratio was observed at the apical level(3.9±1.4),while this ratio was higher at the anterior(59%-89.4%)and lateral(62%-84.8%)segments(P>0.05).Global EF was positively correlated with apical,midventricular,and basal regional EF(P<0.05).However,there was no significant correlation between regional EF and the number of trabeculated segments or trabeculation ratio in all three regions;nor was there a significant correlation between regional EF and the number of trabeculated segments or trabeculation ratio in the entire LV(P>0.05).CONCLUSION No global or regional relationship was observed between LV dysfunction and trabeculation rate or the number of trabeculated segments.This limits the usefulness of change in LV functions in the differentiation between normal and pathological trabeculation.
文摘Background: Left ventricular noncompaction with multiple left ventricular thrombi can be revealed by echocardiography, and early diagnosis seems to be imperative to prevent significant embolic events. Case Report: A 57-year-old woman presented with symptoms of heart failure. Two-dimensional transthoracic echocardiogram demonstrated a dilated and diffusely hypokinetic left ventricle with severe impaired left ventricular systolic function. Moreover, a markedly thickened endocardium at the left ventricular apex and middle segment with numerous, excessively prominent trabeculations and deep intertrabecular recesses were present. During systole, the ratio of the noncompacted to compacted myocardial layers at the site of the maximal wall thickness was above two, a characteristic finding in left ventricular non-compaction. Multiple mobile, homogeneous, echodense thrombi were identified in the left ventricle, with the largest one in the apical noncompacted segment (dimensions, 32 × 14 mm). Cardiac magnetic resonance imaging confirmed the diagnosis of noncompacted myocardium with the presence of multiple thrombi. After anticoagulant therapy, her symptoms improved and thrombi dissolved. Unexpectedly, she re-admitted to the cardiovascular unit with progressive dyspnea. Transthoracic echocardiogram showed new large right atrial thrombi, with the largest one was 43 × 38 mm compared to the echocardiogram done 11 months ago. The patient was anticoagulated with continuous heparin infusion for several days followed by oral Apixaban. After 4 weeks, the floating thrombi completely disappeared. After a 26-month follow-up, the patient’s condition was stable without embolic complications. Conclusion: Echocardiography was the cornerstone of diagnostic methods for early detecting left ventricular thrombi to eventually prevent embolic events.
文摘Background Noncompaction of ventricular myocardium （NVM） is a rare type of primary cardiomyopathy. The disease is caused by the disorder in the densification of the myocardium in the early stage of the embryo process. The morphological characteristics are projecting trabeculation in the ventricle and the deep trabecular space interlinked with ventricular chamber. In recent years, many studies have found that the left ventricular growth associated genetic mutation is closely related to the occurrence of NVM. The most clinical manifestations such as heart failure, thromboembolism and arrhythmia are specific. Echocardiography is the most commonly used tech- nique for the diagnosis of NVM. Cardiac computed tomography （CT） scan, cardiac magnetic resonance imaging and left ventricular angiography are other important techniques for its diagnosis. The NVM patients have a long course of disease, poor prognosis and a high rate of misdiagnosis. This article reviews the research progress in the aspects of epidemiological characteristics, genetic characteristics, clinical manifestations, pathophysiology, diagnosis, treatment and so on, in order to provide the basis for the diagnosis and treatment of NVM.
文摘ABSTRACT Objectives This study used cardiac magnetic resonance （CMR） to compare standard criteria for left ventricular non- compaction （LVNC）. Background LVNC as a distinct cardiomyopathy is supported by a growing number of publications. Echocardiographic and CMR criteria have been established to diagnosis LVNC but have led to concerns of diagnostic accura- cy.
基金supported by the National Natural Science Foundation of China(Grant No.12171177)supported by the Russian Science Foundation(Grant No.23-41-00037).
文摘This paper is concerned with the numerical solution of Volterra integro-differential equations with noncompact operators.The focus is on the problems with weakly singular solutions.To handle the initial weak singularity of the solution,a fractional collocation method is applied.A rigorous hp-version error analysis of the numerical method under a weighted H1-norm is carried out.The result shows that the method can achieve high order convergence for such equations.Numerical experiments are also presented to confirm the effectiveness of the proposed method.
文摘This paper is committed to dealing with the measure of noncompactness of operators in Banach spaces.First,we give a characterization of the measure of noncompact Hausdorff operators with respect to the Hausdorff metric.Then,we show a formula of the Hausdorff measure of noncompactness of operators in l^(p)(1≤p<∞).Finally,several common equivalent measures of noncompactness of operators and related proofs are provided.
基金Supported by the Guangxi Science and Technology base and Talent Project(AD23026249,AD22080047).
文摘This paper is devoted to the existence results for a class of neutral abstract fractional differential equations involving the composite relaxation process.Based on the Laplace transform,the semigroup theory and the Wright functions,we first introduce a definition of mild solutions to the considered problem.By means of the noncompactness of measure and the fixed point technique,we establish existence criteria of solutions.Finally,an example is presented to illustrate our main result.
基金We are grateful for the support of the staff of the echocardiography laboratories in the Union Hospital, Tongji Medical College, Huazhong University of Science and Technology. This project was funded by the National Natural Science Foundation of China （Nos. 81401429 and 81271582）. Dr. Li Yuan was a Visiting Fellow at Oxford Echo Core Laboratory, University of Oxford, John Radcliffe Hospital and was financially supported by Oxford University Hospitals Charitable Research Fund.
文摘Contrast echocardiography with left ventricular opacification （LVO） improves the definition of endocardium in two-dimensional echocardiography （2DE）. This study was aimed to determine whether LVO offered added diagnostic value in noncompaetion of left ventricular myocardium （NCVM）. A total of 85 patients （40± 20 years, 54 males） with suspected NCVM were subjected to transthoracic 2DE and LVO, and 40 healthy volunteers were examined with 2DE and assigned as control subjects. The location of NCVM, the thickness ratio of noncompacted to compacted myocardium （NCR）, and the cavity size and ejection fraction of LV were quantified. Results revealed that NCVM was mainly located in the LV medium （53.2%）, apical （46.2%） segments, and lateral wall （39.8%）. The NCR obtained through LVO was greater than that detected through 2DE （4.2 ±1.3 vs. 3.3 ±1.2, P 〈 0.001）, and higher inter-correlations and less intra- and inter-observer variabilities were determined in the former than in the latter. The NCVM detection rates were also increased from 63.5% via 2DE to 83.5% via LVO and 89.4% via 2DE combined with LVO （2DE ＋ LVO） （P = 0.0004）. The LV cavity size was greater and the LV ejection fraction （LVEF） was lower in the NCVM patients than in the control group （P 〈 0.01）. In the NCVM group, the LV cavity size was higher and the LVEF was lower in LVO than in 2DE （P 〈 0.01）. In conclusion, contrast echocardiography contributes significant sensitivity and reproducibility to routine transthoraeic echoeardiography in NCVM diagnosis. Therefore, this technique should be clinically performed to diagnose suspected NCVM.
