Attention deficit hyperactivity disorder(ADHD) is a pervasive psychiatric disorder that affects both children and adults. Adult male and female patients with ADHD are differentially affected, but few studies have ex...Attention deficit hyperactivity disorder(ADHD) is a pervasive psychiatric disorder that affects both children and adults. Adult male and female patients with ADHD are differentially affected, but few studies have explored the differences. The purpose of this study was to quantify differences between adult male and female patients with ADHD based on neuroimaging and connectivity analysis. Resting-state functional magnetic resonance imaging scans were obtained and preprocessed in 82 patients. Group-wise differences between male and female patients were quantified using degree centrality for different brain regions. The medial-, middle-, and inferior-frontal gyrus, superior parietal lobule, precuneus, supramarginal gyrus, superior- and middle-temporal gyrus, middle occipital gyrus, and cuneus were identified as regions with significant group-wise differences. The identified regions were correlated with clinical scores reflecting depression and anxiety and significant correlations were found. Adult ADHD patients exhibit different levels of depression and anxiety depending on sex, and our study provides insight into how changes in brain circuitry might differentially impact male and female ADHD patients.展开更多
For functional difference equations with unbounded delay,we characterized the existence of totally stable and asymptotically almost periodic solution by using stability properties of a bounded solution in a certain li...For functional difference equations with unbounded delay,we characterized the existence of totally stable and asymptotically almost periodic solution by using stability properties of a bounded solution in a certain limiting equation.展开更多
In this paper, some sufficient and necessary conditions are established for the oscillatory of solutions for nonlinear functional difference equations, which extend and improve some corresponding results obtained and ...In this paper, some sufficient and necessary conditions are established for the oscillatory of solutions for nonlinear functional difference equations, which extend and improve some corresponding results obtained and are discrete analogues of the corresponding results for the continuous version.展开更多
In this paper, the author studies the boundary value problems for a p-Laplacian functional difference equation. By using a fixed point theorem in cones, sufficient conditions are established for the existence of the p...In this paper, the author studies the boundary value problems for a p-Laplacian functional difference equation. By using a fixed point theorem in cones, sufficient conditions are established for the existence of the positive solutions.展开更多
This paper is concerned with the nonlinear neutral functional difference equations△x(n) =-a(n)x(n) +h(n)f(n,x(n-T(n)),△x(n-δ(n))),where a,h and f are nonnegative sequences.Sufficient conditions for the existence of...This paper is concerned with the nonlinear neutral functional difference equations△x(n) =-a(n)x(n) +h(n)f(n,x(n-T(n)),△x(n-δ(n))),where a,h and f are nonnegative sequences.Sufficient conditions for the existence of at least three positive T-periodic solutions are established by using a fixed point theorem due to Avery and Peterson.展开更多
Chronic kidney disease (CKD) has become a worldwide public health problem, and currently, it affects approximately 10% of adults in the United States[I]. Meanwhile, it also has emerged as an important social challen...Chronic kidney disease (CKD) has become a worldwide public health problem, and currently, it affects approximately 10% of adults in the United States[I]. Meanwhile, it also has emerged as an important social challenge in China[2]. CKD has been reported to be a major risk factor for cardiovascular diseases, premature death, and end-stage renal diseaseTM. Thus, it is necessary to determine the risk factors for CKD.展开更多
BACKGROUND: Temperature of axilla could be affected due to motor dysfunction of limbs and neural changes of vessel after ischemic stroke. OBJECTIVE: To observe the effect of percutaneous neuromuscular electric stimu...BACKGROUND: Temperature of axilla could be affected due to motor dysfunction of limbs and neural changes of vessel after ischemic stroke. OBJECTIVE: To observe the effect of percutaneous neuromuscular electric stimulation (PNES) on difference in temperature of axilla and analyze the relationship between function of limbs and difference in temperature of axilla. DESIGN: Randomized grouping and controlled observation SETTING: Department of Neurology, General Hospital of Shenyang Military Area Command of Chinese PLA PARTICIPANTS: Sixty patients with ischemic stroke were selected from Neurological Department of General Hospital of Shenyang Military Area Command of Chinese PLA from January to June 2003. All cases were diagnosed with clinical diagnosis criteria of ischemic stroke established by the Fourth Chinese Classification of Cerebrovasular Disease and CT examination and received neuromuscular electric stimulation (NES). Patients were randomly divided into control group and treatment group with 30 in each group. METHODS: Control group: Patients received routinely neurological therapy. Treatment group: Except routine therapy, patients suffered from NES at 48 hours after hospitalization. NMT-91 NES equipment was used to stimulated injured limbs with low frequency once 30 minutes a day in total of 10 times a course, especially extensor muscle of upper limb and flexor muscle of lower limb. Prescription of hemiplegia was internally decided by equipment with the output frequency of 200 Hz. Intensity of electric output could cause muscle contraction. The therapy needed two or three courses. Temperature of bilateral axilla was measured every day to calculate the difference with the formula of (temperature of axilla on the injured side - temperature of axilla on the healthy side). Motor function of limbs was measured with FugI-Meyer Motor Assessment (FMA) during hospitalization and at 2 and 4 hours after hospitalization. Among 90 points, upper and lower limb function was 54, equilibrium function 10, sensory function 10, and motion of joint 16. The higher the scores were, the better the function was. Correlation of data was dealt with linear correlation analysis. MAIN OUTCOME MEASURES : Assessment and correlation between difference in temperature of axilla and motor function of injured limbs during hospitalization and at 2 and 4 weeks after hospitalization. RESULTS: All 60 patients with ischemic stroke were involved in the final analysis. ① Difference in temperature: Difference of 2 and 4 weeks after hospitalization was lower than that in control group and at just hospitalization [treatment group: (0.056±0.000), (0.024±0.003) ℃; control group: (0.250±0.001), (0.131 ±0.001)℃; hospitalization; (0.513±0.001) ℃, P 〈 0.05-0,01]. ② FMA scores: Scores of 2 and 4 weeks after hospitalization were higher than those in control group and at just hospitalization [treatment group; (43.50±15.09), (67.97 ±18.21) points; control group: (33.33 ±13.54), (40.87±19.34) points; hospitalization: (26.43 ±11.87) points, P 〈 0.05-0.01]. ③ Correlation: Difference in temperature of axilla was negative correlation with FMA scores (c=- -0.255 1, P 〈 0.05). CONCLUSION: ① PNES can accelerate recovery of limb function and decrease temperature of axilla of patients with ischemic stroke. ② The lower the difference in temperature is, the better the functional recovery is.展开更多
Objective To investigate the effects of different doses of vecuronium on ventilatory function and mechanics of breathing during elective laparoscopic cholecystectomy. Methods Sixty - three ASA Ⅰ - Ⅱ patients aged 29...Objective To investigate the effects of different doses of vecuronium on ventilatory function and mechanics of breathing during elective laparoscopic cholecystectomy. Methods Sixty - three ASA Ⅰ - Ⅱ patients aged 29 -57 yr were randomly divided into 3 groups of twenty-one: group Ⅰ received vecuronium 1 ± ED95 , group Ⅱ 2 ± ED95 and group Ⅲ ± ED95. Patients with respiratory disease were excluded. The patients were premedicated with intramuscular scopolamine 0 . 3 mg and oral diazepam 0 . 1 mg· kg-1 . Anesthesia was induced with fentanyl 2 μg ·kg-1 ,propofol 2 mg·kg-1 and succinylcholine 1. 5 mg· kg-1 and maintained with 1.0% -1.5% isoflurance and intermittent iv boluses of propofol 1 mg·kg when needed. Vecuronium 1 ± ED95 ( group Ⅰ ) or 2 ± ED95 (group Ⅱ ) or 3 ± ED95 (group Ⅲ ) was given iv after succinylcholine when TOF showed that T1 】 70 % . The patients were mechanically ventilated. VT was set at 10 ml ·kg-1 and respiratory rate at 12 bpm. End-tidal PCO2 was maintained at 30 -展开更多
In this paper,we offer a new sparse recovery strategy based on the generalized error function.The introduced penalty function involves both the shape and the scale parameters,making it extremely flexible.For both cons...In this paper,we offer a new sparse recovery strategy based on the generalized error function.The introduced penalty function involves both the shape and the scale parameters,making it extremely flexible.For both constrained and unconstrained models,the theoretical analysis results in terms of the null space property,the spherical section property and the restricted invertibility factor are established.The practical algorithms via both the iteratively reweighted■_(1)and the difference of convex functions algorithms are presented.Numerical experiments are carried out to demonstrate the benefits of the suggested approach in a variety of circumstances.Its practical application in magnetic resonance imaging(MRI)reconstruction is also investigated.展开更多
Mutants lacking wild-type MLO(Mildew resistance Locus O)proteins show broad-spectrum resistance to the powdery mildew fungus,and dysregulated cell death control,with spontaneous cell death in response to developmental...Mutants lacking wild-type MLO(Mildew resistance Locus O)proteins show broad-spectrum resistance to the powdery mildew fungus,and dysregulated cell death control,with spontaneous cell death in response to developmental or abiotic stimuli.In order to understand the evolution and divergence patterns of the MLO gene family in Rosaceae plants,we analysed systematically genome-wide data from Fragaria vesca,Prunus persica,Prunus mume,Malus domestica,Pyrus bretschneideri and Rubus occidentalis based on bioinformatics methods.Using three phylogenetic methods(the neighbour-joining,maximum likelihood,and Bayesian methods),we identified 117 MLO genes from 6 Rosaceae species.The results of all three phylogenetic analysis methods supported that these genes were divided into six clades.Conserved motif analysis found that only motif 2 was present in all MLO proteins and had 3 nearly invariant amino acid residues.The findings indicated that motif 2 might be shared by the MLO gene family.The structural features of these genes showed large variations in sequence length among different species,although the lengths and the numbers of exons exhibited high degrees of similarity.Selective pressure analysis showed extremely significant differences in all 6 clades,with 2,1,and 1 site(s)under significant positive selection detected in clades III,IV,and VI,respectively.These positive selection sites were important driving forces for the promotion of the functional differentiation of the MLO genes.Functional divergence analysis showed that the significantly divergent sites were located within the domains of the MLO genes.Functional distance analysis showed that the clade V had more conservative functions and might have retained more original functions during the evolutionary process.However,clade I may have undergone extensive altered functional constraints as a specialised functional role.Moreover,the most original function of the MLO genes in Rosaceae could be related to the evolution of their resistance to powdery mildew,which then gradually evolved into functions such as the regulation of flower development,the control of root morphology,and seed evolution due to the different evolutionary rates after gene duplication.These results provide a theoretical basis for further studies of the molecular evolutionary patterns of the plant MLO gene family.展开更多
Tarnavas established mixed weighted power mean inequality in 1999. A separation of weighted power mean inequslity was derived in this paper. As its applications, some separations of other inequalities were given.
In this paper, Noether theory of Lagrange systems in discrete case are studied. First, we briefly overview the wellknown Noether theory of Lagrange system in the continuous case. Then, we introduce some definitions an...In this paper, Noether theory of Lagrange systems in discrete case are studied. First, we briefly overview the wellknown Noether theory of Lagrange system in the continuous case. Then, we introduce some definitions and notations, such as the operators of discrete translation to the right and the left and the operators of discrete differentiation to the right and the left, and give the conditions for the invariance of the difference functional on the uniform lattice and the non-uniform one, respectively. We also deduce the discrete analog of the Noether-type identity. Finally, the discrete analog of Noether's theorem is presented. An example was discussed to illustrate these results.展开更多
This paper presents equations for estimating limiting stand density for Z undulata plantations grown in hot desert areas of Raj asthan State in India. Five different stand level basal area projection models, belonging...This paper presents equations for estimating limiting stand density for Z undulata plantations grown in hot desert areas of Raj asthan State in India. Five different stand level basal area projection models, belonging to the path invariant algebraic difference form of a non-linear growth function, were also tested and compared. These models can be used to predict future basal area as a function of stand variables like dominant height and stem number per hectare and are necessary for reviewing different silvicultural treatment options. Data from 22 sample plots were used for modelling. An all possible growth intervals data structure was used. Both, qualitative and quantitative criteria were used to compare alternative models. The Akaike's information criteria differ- ence statistic was used to analyze the predictive ability of the models. Results show that the model proposed by Hui and Gadow performed best and hence this model is recommended for use in predicting basal area development in 12 undulata plantations in the study area. The data used were not from thinned stands, and hence the models may be less accurate when used for predictions when natural mortality is very significant.展开更多
In this paper, by using the critical point theory, the existence of periodic and subharmonic solutions to a class of second order functional difference equations is obtained. The main approach used in our paper is var...In this paper, by using the critical point theory, the existence of periodic and subharmonic solutions to a class of second order functional difference equations is obtained. The main approach used in our paper is variational technique and the Saddle Point Theorem. The problem is to solve the existence of periodic and subharmonic solutions of second order forward and backward difference equations.展开更多
Using a fixed point theorem in a cone, we obtain some optimal existence results for single and multiple positive periodic solutions to a functional difference system with feedback control. Moreover, we apply our resul...Using a fixed point theorem in a cone, we obtain some optimal existence results for single and multiple positive periodic solutions to a functional difference system with feedback control. Moreover, we apply our results to a population model.展开更多
Using the Krasnoselskii's fixed point theorem, the existence of positive periodic solutions to a class of nonlinear functional difference equations is studied in this paper. Some sufficient conditions for the existen...Using the Krasnoselskii's fixed point theorem, the existence of positive periodic solutions to a class of nonlinear functional difference equations is studied in this paper. Some sufficient conditions for the existence of positive periodic solutions are presented.展开更多
In this paper we apply a cone theoretic fixed-point theorem proved by Krasnosel'skii to obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional d...In this paper we apply a cone theoretic fixed-point theorem proved by Krasnosel'skii to obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider the case that the nonlinear term satisfies asvrnntoticallv linear growth.展开更多
Objective To investigate the effects of different doses of atorvastatin on plasma endothelin and platelet function in acute ST-segment elevation myocardial infarction(STEMI)patients after emergency percutaneous corona...Objective To investigate the effects of different doses of atorvastatin on plasma endothelin and platelet function in acute ST-segment elevation myocardial infarction(STEMI)patients after emergency percutaneous coronary intervention(PCI).Methods A total of 120 patients with acute STEMI treated with emergency PCI were enrolled and randomly divided into 20 mg of atorvastatin treatment group(standard group,n=60),and 40 mg of atorvastatin treatment group(intensive group,n=60).展开更多
An algorithmic framework, based on the difference of convex functions algorithm (D- CA), is proposed for minimizing a class of concave sparse metrics for compressed sensing problems. The resulting algorithm iterates...An algorithmic framework, based on the difference of convex functions algorithm (D- CA), is proposed for minimizing a class of concave sparse metrics for compressed sensing problems. The resulting algorithm iterates a sequence ofl1 minimization problems. An exact sparse recovery theory is established to show that the proposed framework always improves on the basis pursuit (l1 minimization) and inherits robustness from it. Numerical examples on success rates of sparse solution recovery illustrate further that, unlike most existing non-convex compressed sensing solvers in the literature, our method always out- performs basis pursuit, no matter how ill-conditioned the measurement matrix is. Moreover, the iterative l1 (ILl) algorithm lead by a wide margin the state-of-the-art algorithms on l1/2 and logarithimic minimizations in the strongly coherent (highly ill-conditioned) regime, despite the same objective functions. Last but not least, in the application of magnetic resonance imaging (MRI), IL1 algorithm easily recovers the phantom image with just 7 line projections.展开更多
基金supported in part by the Institute for Basic Science(to HP)No.IBS-R015-D1
文摘Attention deficit hyperactivity disorder(ADHD) is a pervasive psychiatric disorder that affects both children and adults. Adult male and female patients with ADHD are differentially affected, but few studies have explored the differences. The purpose of this study was to quantify differences between adult male and female patients with ADHD based on neuroimaging and connectivity analysis. Resting-state functional magnetic resonance imaging scans were obtained and preprocessed in 82 patients. Group-wise differences between male and female patients were quantified using degree centrality for different brain regions. The medial-, middle-, and inferior-frontal gyrus, superior parietal lobule, precuneus, supramarginal gyrus, superior- and middle-temporal gyrus, middle occipital gyrus, and cuneus were identified as regions with significant group-wise differences. The identified regions were correlated with clinical scores reflecting depression and anxiety and significant correlations were found. Adult ADHD patients exhibit different levels of depression and anxiety depending on sex, and our study provides insight into how changes in brain circuitry might differentially impact male and female ADHD patients.
文摘For functional difference equations with unbounded delay,we characterized the existence of totally stable and asymptotically almost periodic solution by using stability properties of a bounded solution in a certain limiting equation.
基金Supported by the Nature Science Foundation of Jining(JB10)
文摘In this paper, some sufficient and necessary conditions are established for the oscillatory of solutions for nonlinear functional difference equations, which extend and improve some corresponding results obtained and are discrete analogues of the corresponding results for the continuous version.
基金Supported by the NNSF of China(10571064)Supported by the NSF of Guangdong Province(O11471)
文摘In this paper, the author studies the boundary value problems for a p-Laplacian functional difference equation. By using a fixed point theorem in cones, sufficient conditions are established for the existence of the positive solutions.
基金Supported by the Natural Science Foundation of Hunan Province(12JJ6006) Supported by the Science Foundation of Department of Science and Technology of Hunan Province(2012FJ3107)
文摘This paper is concerned with the nonlinear neutral functional difference equations△x(n) =-a(n)x(n) +h(n)f(n,x(n-T(n)),△x(n-δ(n))),where a,h and f are nonnegative sequences.Sufficient conditions for the existence of at least three positive T-periodic solutions are established by using a fixed point theorem due to Avery and Peterson.
基金supported by National Natural Science Foundation of China (No.81273507)Humanity and Social Science Foundation for the Youth Scholars of China's Ministry of Education (No.08JC840021)
文摘Chronic kidney disease (CKD) has become a worldwide public health problem, and currently, it affects approximately 10% of adults in the United States[I]. Meanwhile, it also has emerged as an important social challenge in China[2]. CKD has been reported to be a major risk factor for cardiovascular diseases, premature death, and end-stage renal diseaseTM. Thus, it is necessary to determine the risk factors for CKD.
基金a grant from Military Tenth Five-Year Key Research Project Foundation, No. mymjzyy 010
文摘BACKGROUND: Temperature of axilla could be affected due to motor dysfunction of limbs and neural changes of vessel after ischemic stroke. OBJECTIVE: To observe the effect of percutaneous neuromuscular electric stimulation (PNES) on difference in temperature of axilla and analyze the relationship between function of limbs and difference in temperature of axilla. DESIGN: Randomized grouping and controlled observation SETTING: Department of Neurology, General Hospital of Shenyang Military Area Command of Chinese PLA PARTICIPANTS: Sixty patients with ischemic stroke were selected from Neurological Department of General Hospital of Shenyang Military Area Command of Chinese PLA from January to June 2003. All cases were diagnosed with clinical diagnosis criteria of ischemic stroke established by the Fourth Chinese Classification of Cerebrovasular Disease and CT examination and received neuromuscular electric stimulation (NES). Patients were randomly divided into control group and treatment group with 30 in each group. METHODS: Control group: Patients received routinely neurological therapy. Treatment group: Except routine therapy, patients suffered from NES at 48 hours after hospitalization. NMT-91 NES equipment was used to stimulated injured limbs with low frequency once 30 minutes a day in total of 10 times a course, especially extensor muscle of upper limb and flexor muscle of lower limb. Prescription of hemiplegia was internally decided by equipment with the output frequency of 200 Hz. Intensity of electric output could cause muscle contraction. The therapy needed two or three courses. Temperature of bilateral axilla was measured every day to calculate the difference with the formula of (temperature of axilla on the injured side - temperature of axilla on the healthy side). Motor function of limbs was measured with FugI-Meyer Motor Assessment (FMA) during hospitalization and at 2 and 4 hours after hospitalization. Among 90 points, upper and lower limb function was 54, equilibrium function 10, sensory function 10, and motion of joint 16. The higher the scores were, the better the function was. Correlation of data was dealt with linear correlation analysis. MAIN OUTCOME MEASURES : Assessment and correlation between difference in temperature of axilla and motor function of injured limbs during hospitalization and at 2 and 4 weeks after hospitalization. RESULTS: All 60 patients with ischemic stroke were involved in the final analysis. ① Difference in temperature: Difference of 2 and 4 weeks after hospitalization was lower than that in control group and at just hospitalization [treatment group: (0.056±0.000), (0.024±0.003) ℃; control group: (0.250±0.001), (0.131 ±0.001)℃; hospitalization; (0.513±0.001) ℃, P 〈 0.05-0,01]. ② FMA scores: Scores of 2 and 4 weeks after hospitalization were higher than those in control group and at just hospitalization [treatment group; (43.50±15.09), (67.97 ±18.21) points; control group: (33.33 ±13.54), (40.87±19.34) points; hospitalization: (26.43 ±11.87) points, P 〈 0.05-0.01]. ③ Correlation: Difference in temperature of axilla was negative correlation with FMA scores (c=- -0.255 1, P 〈 0.05). CONCLUSION: ① PNES can accelerate recovery of limb function and decrease temperature of axilla of patients with ischemic stroke. ② The lower the difference in temperature is, the better the functional recovery is.
文摘Objective To investigate the effects of different doses of vecuronium on ventilatory function and mechanics of breathing during elective laparoscopic cholecystectomy. Methods Sixty - three ASA Ⅰ - Ⅱ patients aged 29 -57 yr were randomly divided into 3 groups of twenty-one: group Ⅰ received vecuronium 1 ± ED95 , group Ⅱ 2 ± ED95 and group Ⅲ ± ED95. Patients with respiratory disease were excluded. The patients were premedicated with intramuscular scopolamine 0 . 3 mg and oral diazepam 0 . 1 mg· kg-1 . Anesthesia was induced with fentanyl 2 μg ·kg-1 ,propofol 2 mg·kg-1 and succinylcholine 1. 5 mg· kg-1 and maintained with 1.0% -1.5% isoflurance and intermittent iv boluses of propofol 1 mg·kg when needed. Vecuronium 1 ± ED95 ( group Ⅰ ) or 2 ± ED95 (group Ⅱ ) or 3 ± ED95 (group Ⅲ ) was given iv after succinylcholine when TOF showed that T1 】 70 % . The patients were mechanically ventilated. VT was set at 10 ml ·kg-1 and respiratory rate at 12 bpm. End-tidal PCO2 was maintained at 30 -
基金supported by the Zhejiang Provincial Natural Science Foundation of China under grant No.LQ21A010003.
文摘In this paper,we offer a new sparse recovery strategy based on the generalized error function.The introduced penalty function involves both the shape and the scale parameters,making it extremely flexible.For both constrained and unconstrained models,the theoretical analysis results in terms of the null space property,the spherical section property and the restricted invertibility factor are established.The practical algorithms via both the iteratively reweighted■_(1)and the difference of convex functions algorithms are presented.Numerical experiments are carried out to demonstrate the benefits of the suggested approach in a variety of circumstances.Its practical application in magnetic resonance imaging(MRI)reconstruction is also investigated.
基金supported by the National Key R&D Program of China(Grant No.2018YFD1000400)National Natural Science Foundation of China(Grant Nos.31860571 and 31560565)+1 种基金Major Science and Technology Projects Yunnan Province(Grant No.2016ZA005)Yunnan Youth Academic&Technical Leaders Reserve Talents Training Project(Grant No.2015HB078)。
文摘Mutants lacking wild-type MLO(Mildew resistance Locus O)proteins show broad-spectrum resistance to the powdery mildew fungus,and dysregulated cell death control,with spontaneous cell death in response to developmental or abiotic stimuli.In order to understand the evolution and divergence patterns of the MLO gene family in Rosaceae plants,we analysed systematically genome-wide data from Fragaria vesca,Prunus persica,Prunus mume,Malus domestica,Pyrus bretschneideri and Rubus occidentalis based on bioinformatics methods.Using three phylogenetic methods(the neighbour-joining,maximum likelihood,and Bayesian methods),we identified 117 MLO genes from 6 Rosaceae species.The results of all three phylogenetic analysis methods supported that these genes were divided into six clades.Conserved motif analysis found that only motif 2 was present in all MLO proteins and had 3 nearly invariant amino acid residues.The findings indicated that motif 2 might be shared by the MLO gene family.The structural features of these genes showed large variations in sequence length among different species,although the lengths and the numbers of exons exhibited high degrees of similarity.Selective pressure analysis showed extremely significant differences in all 6 clades,with 2,1,and 1 site(s)under significant positive selection detected in clades III,IV,and VI,respectively.These positive selection sites were important driving forces for the promotion of the functional differentiation of the MLO genes.Functional divergence analysis showed that the significantly divergent sites were located within the domains of the MLO genes.Functional distance analysis showed that the clade V had more conservative functions and might have retained more original functions during the evolutionary process.However,clade I may have undergone extensive altered functional constraints as a specialised functional role.Moreover,the most original function of the MLO genes in Rosaceae could be related to the evolution of their resistance to powdery mildew,which then gradually evolved into functions such as the regulation of flower development,the control of root morphology,and seed evolution due to the different evolutionary rates after gene duplication.These results provide a theoretical basis for further studies of the molecular evolutionary patterns of the plant MLO gene family.
基金Project supported by National Natural Science Foundation of China (Grant No. 10271071)
文摘Tarnavas established mixed weighted power mean inequality in 1999. A separation of weighted power mean inequslity was derived in this paper. As its applications, some separations of other inequalities were given.
基金Project supported by the National Natural Science Foundation of China(Grant No.10872037)the Natural Science Foundationof Anhui Province,China(Grant No.070416226)
文摘In this paper, Noether theory of Lagrange systems in discrete case are studied. First, we briefly overview the wellknown Noether theory of Lagrange system in the continuous case. Then, we introduce some definitions and notations, such as the operators of discrete translation to the right and the left and the operators of discrete differentiation to the right and the left, and give the conditions for the invariance of the difference functional on the uniform lattice and the non-uniform one, respectively. We also deduce the discrete analog of the Noether-type identity. Finally, the discrete analog of Noether's theorem is presented. An example was discussed to illustrate these results.
基金the State Forest Department,Rajasthan for providing financial support for conducting this study and to their officials for rendering necessary assistance during fieldwork
文摘This paper presents equations for estimating limiting stand density for Z undulata plantations grown in hot desert areas of Raj asthan State in India. Five different stand level basal area projection models, belonging to the path invariant algebraic difference form of a non-linear growth function, were also tested and compared. These models can be used to predict future basal area as a function of stand variables like dominant height and stem number per hectare and are necessary for reviewing different silvicultural treatment options. Data from 22 sample plots were used for modelling. An all possible growth intervals data structure was used. Both, qualitative and quantitative criteria were used to compare alternative models. The Akaike's information criteria differ- ence statistic was used to analyze the predictive ability of the models. Results show that the model proposed by Hui and Gadow performed best and hence this model is recommended for use in predicting basal area development in 12 undulata plantations in the study area. The data used were not from thinned stands, and hence the models may be less accurate when used for predictions when natural mortality is very significant.
文摘In this paper, by using the critical point theory, the existence of periodic and subharmonic solutions to a class of second order functional difference equations is obtained. The main approach used in our paper is variational technique and the Saddle Point Theorem. The problem is to solve the existence of periodic and subharmonic solutions of second order forward and backward difference equations.
基金This work is supported by the Natural Science Foundation of Fujian Province (Z0511014) the Foundation of Developing Science and Technology of Fuzhou University (2005-XQ-18).
文摘Using a fixed point theorem in a cone, we obtain some optimal existence results for single and multiple positive periodic solutions to a functional difference system with feedback control. Moreover, we apply our results to a population model.
基金Project supported by National Natural Sciences Foundation of China (10572021).
文摘Using the Krasnoselskii's fixed point theorem, the existence of positive periodic solutions to a class of nonlinear functional difference equations is studied in this paper. Some sufficient conditions for the existence of positive periodic solutions are presented.
文摘In this paper we apply a cone theoretic fixed-point theorem proved by Krasnosel'skii to obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider the case that the nonlinear term satisfies asvrnntoticallv linear growth.
文摘Objective To investigate the effects of different doses of atorvastatin on plasma endothelin and platelet function in acute ST-segment elevation myocardial infarction(STEMI)patients after emergency percutaneous coronary intervention(PCI).Methods A total of 120 patients with acute STEMI treated with emergency PCI were enrolled and randomly divided into 20 mg of atorvastatin treatment group(standard group,n=60),and 40 mg of atorvastatin treatment group(intensive group,n=60).
文摘An algorithmic framework, based on the difference of convex functions algorithm (D- CA), is proposed for minimizing a class of concave sparse metrics for compressed sensing problems. The resulting algorithm iterates a sequence ofl1 minimization problems. An exact sparse recovery theory is established to show that the proposed framework always improves on the basis pursuit (l1 minimization) and inherits robustness from it. Numerical examples on success rates of sparse solution recovery illustrate further that, unlike most existing non-convex compressed sensing solvers in the literature, our method always out- performs basis pursuit, no matter how ill-conditioned the measurement matrix is. Moreover, the iterative l1 (ILl) algorithm lead by a wide margin the state-of-the-art algorithms on l1/2 and logarithimic minimizations in the strongly coherent (highly ill-conditioned) regime, despite the same objective functions. Last but not least, in the application of magnetic resonance imaging (MRI), IL1 algorithm easily recovers the phantom image with just 7 line projections.