Background: Studies have shown that pressure-controlled ventilation improves alveolar gas distribution. And inverse ratio ventilation has advantages of improving oxygenation in acute respiratory distress syndrome (ARD...Background: Studies have shown that pressure-controlled ventilation improves alveolar gas distribution. And inverse ratio ventilation has advantages of improving oxygenation in acute respiratory distress syndrome (ARDS) patients. However, the effects that pressure-controlled inverse ration ventilation in patients undergoes endotracheal intubation general anesthesia have not been assessed. Objective: To investigate whether pressure-controlled inverse ratio ventilation (PIV) would improve ventilatory and oxygenation parameters as well as lung function compared to conventional ventilation in patients undergoing open abdominal surgery. Interventions: In the conventional ventilation (CV) group, the ventilation strategy involved zero end-expiratory pressure and volume-controlled ventilation. In the pressure-controlled inverse ratio ventilation (PIV) group, the strategy involved P high starting at 7 cm H<sub>2</sub>O, P low starting at 4 cm H<sub>2</sub>O, T high at 4 s, T low at 2 s, and an inspiratory-to-expiratory time ratio of 2:1. The ΔP value was adjusted according to VT. Pressure levels were increased by 2 cm H<sub>2</sub>O until a maximal V<sub>T</sub> was observed. Inspired oxygen fraction (FIO<sub>2</sub>) was 1.0 and tidal volume (V<sub>T</sub>) was 6 mL/kg in both groups. Main Outcome Measures: The primary outcome is pulmonary function tests. Hemodynamic, ventilatory and oxygenation parameters were measured;visual analog scale (VAS) scores, and nausea and vomiting scores were also measured. Results: The PIV group tolerated pressure-controlled inverse ratio ventilation without significant hemodynamic instability. Mean airway pressure and static compliance were significantly higher in the PIV group than those in CV group (P P 2 h was well tolerated and improved respiratory compliance and lung function on the first postoperative day.展开更多
Objective: To compare the effects of total intravenous anesthesia and static aspiration combined general anesthesia on postoperative cognitive function and psychological state of elderly esophageal cancer patients. Me...Objective: To compare the effects of total intravenous anesthesia and static aspiration combined general anesthesia on postoperative cognitive function and psychological state of elderly esophageal cancer patients. Methods: From July 2020 to April 2021, 180 elderly patients who underwent radical esophageal cancer surgery in our hospital were randomly divided into 90 cases in the control group and 90 in the observation group. The control group used static aspiration compound general anesthesia, and the patients in the observation group used intravenous anesthesia to compare the cognitive function and psychological state of the two groups of patients. Results: There was no statistical difference in the cognitive function score of patients in the observation group 30 minutes before anesthesia, 1 h and 24 hours after anesthesia compared with that in the control group, P > 0.05;there was no statistical difference between the Hamilton Anxiety Scale (HAMA) scores 30 minutes before and 24 hours after anesthesia in the observation group compared with the control group, P > 0.05;the cognitive function score of patients in the observation group of 4 h after surgery and 12 h after operation was significantly higher than that of the control group;the HAMA scores of patients in the observation group of 1 h, 4 h and 12 h after surgery were significantly lower than that of the control group, P Conclusion: The application of total intravenous anesthesia in elderly patients with esophageal cancer surgery can reduce the impact of anesthesia on their cognitive function and psychological state, which is worth popularizing and applying in clinical practice.展开更多
BACKGROUND： Cognitive dysfunction occurs in elderly patients following general anesthesia, and this might be associated with genetics. Studies have shown that the ε4 allele gene is closely associated with senile dem...BACKGROUND： Cognitive dysfunction occurs in elderly patients following general anesthesia, and this might be associated with genetics. Studies have shown that the ε4 allele gene is closely associated with senile dementia. OBJECTIVE： To compare and analyze the correlations between cognitive dysfunction and single nucleotide polymorphism of apolipoprotein E （ApoE） following inhalation or intravenous anesthesia. DESIGN, TIME AND SETTING： A randomized, controlled study was performed. The patients were recruited from the Department of Anesthesia, Second Affiliated Hospital, Medical College, Xi＇an Jiaotong University, China between May 2005 and December 2008. Genetic analyses were conducted at the Departments of Neuroanatomy and Forensic Medicine, Medical Corlege, Xi＇an Jiaotong University, China. PARTICIPANTS： A total of t 000 patients of ASA I-II grade, without genetic connection, were enrolled in this study, comprising 520 males and 480 females, aged （70.1± 4.6） years and weighing （57.3 ± 7.5） kg. No patients suffered from cognitive dysfunction. METHODS： The patients were equally and randomly divided into intravenous anesthesia and gas anesthesia groups. Total intravenous anesthesia and inhaled anesthesia were used. Genomic DNA from whole blood was extracted. The ApoE gene was amplified by PCR. Restriction fragment length polymorphism of ApoE gene was analyzed. Cognitive function was evaluated by Mini-Mental State Examination （MMSE）. Patients scoring 〈 25 points were diagnosed with cognitive dysfunction. MAIN OUTCOME MEASURES： Correlation of ApoE gene frequency and ApoE ε 4 allele to MMSE scores was measured. RESULTS： MMSE scores in patients from the gas anesthesia group significantly decreased 3 days after surgery, compared with the intravenous anesthesia group. The proportion of patients that scored 〈 25 points was significantly greater in the gas anesthesia group compared with the intravenous anesthesia group 3 days after surgery. Reduced MMSE scores closely correlated with expression of the ApoE ε 4 allele in the gas anesthesia group （odds ratio = 2.83; 95% confidence interval was 1.25-6.39, P 〈 0.05）. However, decreased MMSE scores did not closely correlated with expression of the ApoE ε 4 allele in the intravenous anesthesia group （odds ratio = 0.96; 95% confidence interval was 0.37-2.39, P 〉 0.05）. CONCLUSION： Results demonstrated a correlation between cognitive dysfunction and ApoE single nucleotide polymorphism in elderly patients after gas anesthesia. However, no relationship between cognitive dysfunction and ApoE single nucleotide polymorphism was determined in elderly patients following intravenous anesthesia. Therefore, elderly patients, especially those expressing the ApoE ε4 gene, should be cautiously exposed to gas anesthesia.展开更多
The object of this article is to study and develop the generalized fractional calcu- lus operators given by Saigo and Maeda in 1996. We establish generalized fractional calculus formulas involving the product of R-fun...The object of this article is to study and develop the generalized fractional calcu- lus operators given by Saigo and Maeda in 1996. We establish generalized fractional calculus formulas involving the product of R-function, Appell function F3 and a general class of poly- nomials. The results obtained provide unification and extension of the results given by Saxena et al. [13], Srivastava and Grag [17], Srivastava et al. [20], and etc. The results are obtained in compact form and are useful in preparing some tables of operators of fractional calculus. On account of the general nature of the Saigo-Maeda operators, R-function, and a general class of polynomials a large number of new and known results involving Saigo fractional calculus operators and several special functions notably H-function, /-function, Mittag-Leffier function, generalized Wright hypergeometric function, generalized Bessel-Maitland function follow as special cases of our main findings.展开更多
In this paper, the authors introduce a kind of reducible algebroid functions, that is general algebroid functions and obtain two fundamental theorems of general algebroid functions. At last, as an application, we gene...In this paper, the authors introduce a kind of reducible algebroid functions, that is general algebroid functions and obtain two fundamental theorems of general algebroid functions. At last, as an application, we generalized a theorem of Li Guoping＇s.展开更多
In daily lives,when emergencies occur,rumors will spread widely on the internet.However,it is quite difficult for the netizens to distinguish the truth of the information.The main reasons are the uncertainty of netiz...In daily lives,when emergencies occur,rumors will spread widely on the internet.However,it is quite difficult for the netizens to distinguish the truth of the information.The main reasons are the uncertainty of netizens’behavior and attitude,which make the transmission rates of these information among social network groups be not fixed.In this paper,we propose a stochastic rumor propagation model with general incidence function.The model can be described by a stochastic differential equation.Applying the Khasminskii method via a suitable construction of Lyapunov function,we first prove the existence of a unique solution for the stochastic model with probability one.Then we show the existence of a unique ergodic stationary distribution of the rumor model,which exhibits the ergodicity.We also provide some numerical simulations to support our theoretical results.The numerical results give us some possible methods to control rumor propagation.Firstly,increasing noise intensity can effectively reduce rumor propagation when R_(0)>1That is,after rumors spread widely on social network platforms,government intervention and authoritative media coverage will interfere with netizens’opinions,thus reducing the degree of rumor propagation.Secondly,speed up the rumor refutation,intensify efforts to refute rumors,and improve the scientific quality of netizen(i.e.,increase the value ofβand decrease the value ofαandγ),which can effectively curb the rumor propagation.展开更多
Objective:To study the effects of general anesthesia on coagulation function, stress response and other correlation factors in patients undergoing abdominal operation.Methods: To select 94 cases of patients undergoing...Objective:To study the effects of general anesthesia on coagulation function, stress response and other correlation factors in patients undergoing abdominal operation.Methods: To select 94 cases of patients undergoing abdominal operation in our hospital from February 2016 to April 2018, divided into the control group and observation group, 47 cases in each group. On the basis of the same pre-processing, the patients in the control group were given epidural anesthesia, and the patients in the observation group received general anesthesia, to detect and compare the coagulation function, stress response and other correlation factors.Results:At T1, the levels of coagulation function (D-Dimer, APTT, PT, PLT), stress response (COR, ACTH, CRP, ET-1) and other correlation factors (IL-23, IL-32, M-CSF, PRL, PCT, NO, TNF-α) between the two groups had no statistical difference (P>0.05). At T2 and T3, the levels of coagulation function(D-Dimer), stress response (COR, ACTH, CRP, ET-1) and other correlation factors (IL-23, IL-32, M-CSF, PRL, PCT, NO, TNF-α) between the two groups had statistical difference (P<0.05).Conclusion:Application of general anesthesia in abdominal endoscopic operation, there was no significant change in coagulation function compared with epidural anesthesia, it could maintain stable coagulation function, but it had a better stabilizing effect on stress response index and other correlation factor such as IL-23, IL-32, M-CSF, PRL, PCT, NO and TNF-α, it was worthy of further clinical study.展开更多
Caring for a patient with terminal cancer poses difficulties for family caregivers. Although families of patients with cancer have been classified by type, little is known about the relation between family functioning...Caring for a patient with terminal cancer poses difficulties for family caregivers. Although families of patients with cancer have been classified by type, little is known about the relation between family functioning and quality of life (QOL) in family caregivers. This study aimed to develop a typology of family functioning in family caregivers of patients with terminal cancer and then examine the relation between the family functioning and QOL of family caregivers. From December 2013 to August 2014, fifty-one family caregivers of patients with terminal cancer were recruited at three hospitals in Tokyo, Japan. Perceptions of family functioning were assessed with the Family Relationship Index, and its three subscores were classified into three groups by cluster analysis. Caregivers’ QOL was measured with the Caregiver Quality of Life Index-Cancer. The average total FRI score among 51 caregivers was 8.5 (SD = 2.8). Family functioning was categorized into three clusters: supportive (n = 12), communicative (n = 30), or conflictive (n = 8). Their QOL was categorized into two groups: the communicative group, with relatively high confliction, showed high QOL comparable to the supportive group. Family functioning in the families of patients with terminal cancer hospitalized in general wards was not good. For improving the QOL of family caregivers, it may be important for the family members to express their feelings and distress if they have conflicts.展开更多
This article explored the application of dexmedetomidine(Dex),a highly selective alpha-2 agonist,in managing postoperative cognitive dysfunction(POCD)in elderly patients undergoing radical colon cancer surgery.Aging i...This article explored the application of dexmedetomidine(Dex),a highly selective alpha-2 agonist,in managing postoperative cognitive dysfunction(POCD)in elderly patients undergoing radical colon cancer surgery.Aging is associated with a progressive decline in physiological functions and an increased risk of adverse surgical outcomes,including POCD,which encompasses many neurocognitive disorders that manifest during the perioperative period.The aging population is at a higher risk for POCD,which can lead to prolonged hospital stays,delayed recovery,and increased healthcare costs.Dex has neuroprotective,opioid-sparing,and sympatholytic properties,which reduces the incidence and severity of POCD.Dex was introduced for sedation in patients receiving mechanical ventilation but has since been adopted in anesthesia due to its multifaceted benefits.Its appli-cation extends to sedation,analgesia,maintenance of anesthesia,and controlling delirium.Its neuroprotective and anti-inflammatory effects have been explored in managing POCD.This article discussed the broad range of patient and procedure-related risk factors for POCD.Early identification and intervention are crucial to prevent the progression of POCD,which can have severe physical,psychological,and economic consequences.The article underscored the importance of a mul-tidisciplinary approach in managing POCD,involving the optimization of comor-bidities,depth of anesthesia monitoring,hemodynamic stability,and cerebral oxygenation monitoring.展开更多
This paper studies the generalization capability of feedforward neural networks (FNN).The mechanism of FNNs for classification is investigated from the geometric and probabilistic viewpoints. It is pointed out that th...This paper studies the generalization capability of feedforward neural networks (FNN).The mechanism of FNNs for classification is investigated from the geometric and probabilistic viewpoints. It is pointed out that the outputs of the output layer in the FNNs for classification correspond to the estimates of posteriori probability of the input pattern samples with desired outputs 1 or 0. The theorem for the generalized kernel function in the radial basis function networks (RBFN) is given. For an 2-layer perceptron network (2-LPN). an idea of using extended samples to improve generalization capability is proposed. Finally. the experimental results of radar target classification are given to verify the generaliztion capability of the RBFNs.展开更多
A viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary/interior sources is considered in a bounded domain. Under appropriate assumptions ira- posed on the source and the damping, we establish ...A viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary/interior sources is considered in a bounded domain. Under appropriate assumptions ira- posed on the source and the damping, we establish uniform decay rate of the solution energy in terms of the behavior of the nonlinear feedback and the relaxation function, without setting any restrictive growth assumptions on the damping at the origin and weakening the usual assumptions on the relaxation function.展开更多
In this paper, the specific solutions of orthotropic plane problems with body forces are derived. Then, based on the general solution in the case of distinct eigenvalues and the specific solution for density functiona...In this paper, the specific solutions of orthotropic plane problems with body forces are derived. Then, based on the general solution in the case of distinct eigenvalues and the specific solution for density functionally graded orthotropic media, a series of beam problem, including the problems of cantilever beam with body forces depending only on z or on x coordinate and expressed by z or x polynomial is solved by the principle of superposition and the trial-and-error method.展开更多
The general regression neural network(GRNN) model was proposed to model and predict the length of day(LOD) change, which has very complicated time-varying characteristics. Meanwhile, considering that the axial atmosph...The general regression neural network(GRNN) model was proposed to model and predict the length of day(LOD) change, which has very complicated time-varying characteristics. Meanwhile, considering that the axial atmospheric angular momentum(AAM) function is tightly correlated with the LOD changes, it was introduced into the GRNN prediction model to further improve the accuracy of prediction. Experiments with the observational data of LOD changes show that the prediction accuracy of the GRNN model is 6.1% higher than that of BP network, and after introducing AAM function, the improvement of prediction accuracy further increases to 14.7%. The results show that the GRNN with AAM function is an effective prediction method for LOD changes.展开更多
General linear model (GLM) is the most popular method for functional magnetic resource imaging (fMRI) data analysis . However, its theory is imperfect. The key of this model is how to constitute the design-matrix to m...General linear model (GLM) is the most popular method for functional magnetic resource imaging (fMRI) data analysis . However, its theory is imperfect. The key of this model is how to constitute the design-matrix to model the interesting effects better and separate noises better. For the purpose of detecting brain function activation , according to the principle of GLM,a new convolution model is presented by a new dynamic function convolving with design-matrix,which combining with t-test can be used to detect brain active signal. The fMRI imaging result of visual stimulus experiment indicates that brain activities mainly concentrate among v1and v2 areas of visual cortex, and also verified the validity of this technique.展开更多
Li et al. (2015) claim that it is sufficient to use two harmonic functions to express the general solution of Stokes equations. In this paper, we demonstrate that this is not true in a general case and that we in fact...Li et al. (2015) claim that it is sufficient to use two harmonic functions to express the general solution of Stokes equations. In this paper, we demonstrate that this is not true in a general case and that we in fact need three scalar harmonic functions to represent the general solution of Stokes equations (Venkatalaxmi et al., 2004).展开更多
The importance of equations of state (EOS) has brought about the proliferation of hundreds of EOS. Nearly all prevailing cubic EOS could be regarded as the results of reforming the original vdW EOS. However, the accur...The importance of equations of state (EOS) has brought about the proliferation of hundreds of EOS. Nearly all prevailing cubic EOS could be regarded as the results of reforming the original vdW EOS. However, the accuracy of the vdW EOS is so low. In view of this, a new general equation is proposed that could be used to value or compare vdW type of EOS, and consequently develop a better vdW type of EOS.展开更多
The coupling feature of transversely isotropic magnetoelectroelastic solids are governed by a system of five partial differential equations with respect to the elastic displacements, the electric potential and the mag...The coupling feature of transversely isotropic magnetoelectroelastic solids are governed by a system of five partial differential equations with respect to the elastic displacements, the electric potential and the magnetic potential. Based on the potential theory, the coupled equations are reduced to the five uncoupled generalized Laplace equations with respect to five potential functions. Further, the elastic fields and electromagnetic fields are expressed in terms of the potential functions. These expressions construct the general solution of transversely isotropic magnetoelectroelastic media.展开更多
In this article, we consider a differential inclusion of Kirchhoff type with a memory condition at the boundary. We prove the asymptotic behavior of the corresponding solutions. For a wider class of relaxation functio...In this article, we consider a differential inclusion of Kirchhoff type with a memory condition at the boundary. We prove the asymptotic behavior of the corresponding solutions. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.展开更多
In this paper, we consider the following viscoelastic equation utt-△u＋∫^t o g（t-s）△u（s）ds＋a（x）ut＋u｜u｜^r=0 with initial condition and Dirichlet boundary condition. The decay property of the energy functio...In this paper, we consider the following viscoelastic equation utt-△u＋∫^t o g（t-s）△u（s）ds＋a（x）ut＋u｜u｜^r=0 with initial condition and Dirichlet boundary condition. The decay property of the energy function closely depends on the properties of the relaxation function g（t） at infinity. In the previous works of [3, 7, 11], it was required that the relaxation function g（t） decay exponentially or polynomially as t→Woo. In the recent work of Messaoudi [12, 13], it was shown that the energy decays at a similar rate of decay of the relaxation function, which is not necessarily dacaying in a polynomial or exponential fashion. Motivated by [12, 13], under some assumptions on g（x）, a（x） and r, and by introducing a new perturbed energy, we also prove the similar results for the above equation.展开更多
文摘Background: Studies have shown that pressure-controlled ventilation improves alveolar gas distribution. And inverse ratio ventilation has advantages of improving oxygenation in acute respiratory distress syndrome (ARDS) patients. However, the effects that pressure-controlled inverse ration ventilation in patients undergoes endotracheal intubation general anesthesia have not been assessed. Objective: To investigate whether pressure-controlled inverse ratio ventilation (PIV) would improve ventilatory and oxygenation parameters as well as lung function compared to conventional ventilation in patients undergoing open abdominal surgery. Interventions: In the conventional ventilation (CV) group, the ventilation strategy involved zero end-expiratory pressure and volume-controlled ventilation. In the pressure-controlled inverse ratio ventilation (PIV) group, the strategy involved P high starting at 7 cm H<sub>2</sub>O, P low starting at 4 cm H<sub>2</sub>O, T high at 4 s, T low at 2 s, and an inspiratory-to-expiratory time ratio of 2:1. The ΔP value was adjusted according to VT. Pressure levels were increased by 2 cm H<sub>2</sub>O until a maximal V<sub>T</sub> was observed. Inspired oxygen fraction (FIO<sub>2</sub>) was 1.0 and tidal volume (V<sub>T</sub>) was 6 mL/kg in both groups. Main Outcome Measures: The primary outcome is pulmonary function tests. Hemodynamic, ventilatory and oxygenation parameters were measured;visual analog scale (VAS) scores, and nausea and vomiting scores were also measured. Results: The PIV group tolerated pressure-controlled inverse ratio ventilation without significant hemodynamic instability. Mean airway pressure and static compliance were significantly higher in the PIV group than those in CV group (P P 2 h was well tolerated and improved respiratory compliance and lung function on the first postoperative day.
文摘Objective: To compare the effects of total intravenous anesthesia and static aspiration combined general anesthesia on postoperative cognitive function and psychological state of elderly esophageal cancer patients. Methods: From July 2020 to April 2021, 180 elderly patients who underwent radical esophageal cancer surgery in our hospital were randomly divided into 90 cases in the control group and 90 in the observation group. The control group used static aspiration compound general anesthesia, and the patients in the observation group used intravenous anesthesia to compare the cognitive function and psychological state of the two groups of patients. Results: There was no statistical difference in the cognitive function score of patients in the observation group 30 minutes before anesthesia, 1 h and 24 hours after anesthesia compared with that in the control group, P > 0.05;there was no statistical difference between the Hamilton Anxiety Scale (HAMA) scores 30 minutes before and 24 hours after anesthesia in the observation group compared with the control group, P > 0.05;the cognitive function score of patients in the observation group of 4 h after surgery and 12 h after operation was significantly higher than that of the control group;the HAMA scores of patients in the observation group of 1 h, 4 h and 12 h after surgery were significantly lower than that of the control group, P Conclusion: The application of total intravenous anesthesia in elderly patients with esophageal cancer surgery can reduce the impact of anesthesia on their cognitive function and psychological state, which is worth popularizing and applying in clinical practice.
基金Supported by:the Doctoral Special Foundation of Scientific Research in Universities,No. 20030698011the National Natural Science Foundation of China,No.30300395+1 种基金the National Natural Science Foundation of China,No.30400515the Tackle Key Program in Science and Technology of Shaanxi Province.No.2005K13-G2
文摘BACKGROUND： Cognitive dysfunction occurs in elderly patients following general anesthesia, and this might be associated with genetics. Studies have shown that the ε4 allele gene is closely associated with senile dementia. OBJECTIVE： To compare and analyze the correlations between cognitive dysfunction and single nucleotide polymorphism of apolipoprotein E （ApoE） following inhalation or intravenous anesthesia. DESIGN, TIME AND SETTING： A randomized, controlled study was performed. The patients were recruited from the Department of Anesthesia, Second Affiliated Hospital, Medical College, Xi＇an Jiaotong University, China between May 2005 and December 2008. Genetic analyses were conducted at the Departments of Neuroanatomy and Forensic Medicine, Medical Corlege, Xi＇an Jiaotong University, China. PARTICIPANTS： A total of t 000 patients of ASA I-II grade, without genetic connection, were enrolled in this study, comprising 520 males and 480 females, aged （70.1± 4.6） years and weighing （57.3 ± 7.5） kg. No patients suffered from cognitive dysfunction. METHODS： The patients were equally and randomly divided into intravenous anesthesia and gas anesthesia groups. Total intravenous anesthesia and inhaled anesthesia were used. Genomic DNA from whole blood was extracted. The ApoE gene was amplified by PCR. Restriction fragment length polymorphism of ApoE gene was analyzed. Cognitive function was evaluated by Mini-Mental State Examination （MMSE）. Patients scoring 〈 25 points were diagnosed with cognitive dysfunction. MAIN OUTCOME MEASURES： Correlation of ApoE gene frequency and ApoE ε 4 allele to MMSE scores was measured. RESULTS： MMSE scores in patients from the gas anesthesia group significantly decreased 3 days after surgery, compared with the intravenous anesthesia group. The proportion of patients that scored 〈 25 points was significantly greater in the gas anesthesia group compared with the intravenous anesthesia group 3 days after surgery. Reduced MMSE scores closely correlated with expression of the ApoE ε 4 allele in the gas anesthesia group （odds ratio = 2.83; 95% confidence interval was 1.25-6.39, P 〈 0.05）. However, decreased MMSE scores did not closely correlated with expression of the ApoE ε 4 allele in the intravenous anesthesia group （odds ratio = 0.96; 95% confidence interval was 0.37-2.39, P 〉 0.05）. CONCLUSION： Results demonstrated a correlation between cognitive dysfunction and ApoE single nucleotide polymorphism in elderly patients after gas anesthesia. However, no relationship between cognitive dysfunction and ApoE single nucleotide polymorphism was determined in elderly patients following intravenous anesthesia. Therefore, elderly patients, especially those expressing the ApoE ε4 gene, should be cautiously exposed to gas anesthesia.
基金NBHM Department of Atomic Energy,Government of India,Mumbai for the finanicai assistance under PDF sanction no.2/40(37)/2014/R&D-II/14131
文摘The object of this article is to study and develop the generalized fractional calcu- lus operators given by Saigo and Maeda in 1996. We establish generalized fractional calculus formulas involving the product of R-function, Appell function F3 and a general class of poly- nomials. The results obtained provide unification and extension of the results given by Saxena et al. [13], Srivastava and Grag [17], Srivastava et al. [20], and etc. The results are obtained in compact form and are useful in preparing some tables of operators of fractional calculus. On account of the general nature of the Saigo-Maeda operators, R-function, and a general class of polynomials a large number of new and known results involving Saigo fractional calculus operators and several special functions notably H-function, /-function, Mittag-Leffier function, generalized Wright hypergeometric function, generalized Bessel-Maitland function follow as special cases of our main findings.
基金supported by the National Natural Science Foundation of China(11201083 and 11501127)Foundation for Distinguished Young Talents in Higher Education of Guangdong Province(2014KQNCX068)
文摘In this paper, the authors introduce a kind of reducible algebroid functions, that is general algebroid functions and obtain two fundamental theorems of general algebroid functions. At last, as an application, we generalized a theorem of Li Guoping＇s.
基金supported by the Funding for Outstanding Doctoral Dissertation in NUAA(Grant No.BCXJ18-09)the National Natural Science Foundation of China(Grant No.72071106)Postgraduate Research&Practice Innovation Program of Jiangsu Province,China(Grant No.KYCX180234)。
文摘In daily lives,when emergencies occur,rumors will spread widely on the internet.However,it is quite difficult for the netizens to distinguish the truth of the information.The main reasons are the uncertainty of netizens’behavior and attitude,which make the transmission rates of these information among social network groups be not fixed.In this paper,we propose a stochastic rumor propagation model with general incidence function.The model can be described by a stochastic differential equation.Applying the Khasminskii method via a suitable construction of Lyapunov function,we first prove the existence of a unique solution for the stochastic model with probability one.Then we show the existence of a unique ergodic stationary distribution of the rumor model,which exhibits the ergodicity.We also provide some numerical simulations to support our theoretical results.The numerical results give us some possible methods to control rumor propagation.Firstly,increasing noise intensity can effectively reduce rumor propagation when R_(0)>1That is,after rumors spread widely on social network platforms,government intervention and authoritative media coverage will interfere with netizens’opinions,thus reducing the degree of rumor propagation.Secondly,speed up the rumor refutation,intensify efforts to refute rumors,and improve the scientific quality of netizen(i.e.,increase the value ofβand decrease the value ofαandγ),which can effectively curb the rumor propagation.
文摘Objective:To study the effects of general anesthesia on coagulation function, stress response and other correlation factors in patients undergoing abdominal operation.Methods: To select 94 cases of patients undergoing abdominal operation in our hospital from February 2016 to April 2018, divided into the control group and observation group, 47 cases in each group. On the basis of the same pre-processing, the patients in the control group were given epidural anesthesia, and the patients in the observation group received general anesthesia, to detect and compare the coagulation function, stress response and other correlation factors.Results:At T1, the levels of coagulation function (D-Dimer, APTT, PT, PLT), stress response (COR, ACTH, CRP, ET-1) and other correlation factors (IL-23, IL-32, M-CSF, PRL, PCT, NO, TNF-α) between the two groups had no statistical difference (P>0.05). At T2 and T3, the levels of coagulation function(D-Dimer), stress response (COR, ACTH, CRP, ET-1) and other correlation factors (IL-23, IL-32, M-CSF, PRL, PCT, NO, TNF-α) between the two groups had statistical difference (P<0.05).Conclusion:Application of general anesthesia in abdominal endoscopic operation, there was no significant change in coagulation function compared with epidural anesthesia, it could maintain stable coagulation function, but it had a better stabilizing effect on stress response index and other correlation factor such as IL-23, IL-32, M-CSF, PRL, PCT, NO and TNF-α, it was worthy of further clinical study.
文摘Caring for a patient with terminal cancer poses difficulties for family caregivers. Although families of patients with cancer have been classified by type, little is known about the relation between family functioning and quality of life (QOL) in family caregivers. This study aimed to develop a typology of family functioning in family caregivers of patients with terminal cancer and then examine the relation between the family functioning and QOL of family caregivers. From December 2013 to August 2014, fifty-one family caregivers of patients with terminal cancer were recruited at three hospitals in Tokyo, Japan. Perceptions of family functioning were assessed with the Family Relationship Index, and its three subscores were classified into three groups by cluster analysis. Caregivers’ QOL was measured with the Caregiver Quality of Life Index-Cancer. The average total FRI score among 51 caregivers was 8.5 (SD = 2.8). Family functioning was categorized into three clusters: supportive (n = 12), communicative (n = 30), or conflictive (n = 8). Their QOL was categorized into two groups: the communicative group, with relatively high confliction, showed high QOL comparable to the supportive group. Family functioning in the families of patients with terminal cancer hospitalized in general wards was not good. For improving the QOL of family caregivers, it may be important for the family members to express their feelings and distress if they have conflicts.
文摘This article explored the application of dexmedetomidine(Dex),a highly selective alpha-2 agonist,in managing postoperative cognitive dysfunction(POCD)in elderly patients undergoing radical colon cancer surgery.Aging is associated with a progressive decline in physiological functions and an increased risk of adverse surgical outcomes,including POCD,which encompasses many neurocognitive disorders that manifest during the perioperative period.The aging population is at a higher risk for POCD,which can lead to prolonged hospital stays,delayed recovery,and increased healthcare costs.Dex has neuroprotective,opioid-sparing,and sympatholytic properties,which reduces the incidence and severity of POCD.Dex was introduced for sedation in patients receiving mechanical ventilation but has since been adopted in anesthesia due to its multifaceted benefits.Its appli-cation extends to sedation,analgesia,maintenance of anesthesia,and controlling delirium.Its neuroprotective and anti-inflammatory effects have been explored in managing POCD.This article discussed the broad range of patient and procedure-related risk factors for POCD.Early identification and intervention are crucial to prevent the progression of POCD,which can have severe physical,psychological,and economic consequences.The article underscored the importance of a mul-tidisciplinary approach in managing POCD,involving the optimization of comor-bidities,depth of anesthesia monitoring,hemodynamic stability,and cerebral oxygenation monitoring.
文摘This paper studies the generalization capability of feedforward neural networks (FNN).The mechanism of FNNs for classification is investigated from the geometric and probabilistic viewpoints. It is pointed out that the outputs of the output layer in the FNNs for classification correspond to the estimates of posteriori probability of the input pattern samples with desired outputs 1 or 0. The theorem for the generalized kernel function in the radial basis function networks (RBFN) is given. For an 2-layer perceptron network (2-LPN). an idea of using extended samples to improve generalization capability is proposed. Finally. the experimental results of radar target classification are given to verify the generaliztion capability of the RBFNs.
文摘A viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary/interior sources is considered in a bounded domain. Under appropriate assumptions ira- posed on the source and the damping, we establish uniform decay rate of the solution energy in terms of the behavior of the nonlinear feedback and the relaxation function, without setting any restrictive growth assumptions on the damping at the origin and weakening the usual assumptions on the relaxation function.
基金Project (Nos. 10432030 and 10472102) supported by the NationalNatural Science Foundation of China
文摘In this paper, the specific solutions of orthotropic plane problems with body forces are derived. Then, based on the general solution in the case of distinct eigenvalues and the specific solution for density functionally graded orthotropic media, a series of beam problem, including the problems of cantilever beam with body forces depending only on z or on x coordinate and expressed by z or x polynomial is solved by the principle of superposition and the trial-and-error method.
基金Projects(U1231105,10878026)supported by the National Natural Science Foundation of China
文摘The general regression neural network(GRNN) model was proposed to model and predict the length of day(LOD) change, which has very complicated time-varying characteristics. Meanwhile, considering that the axial atmospheric angular momentum(AAM) function is tightly correlated with the LOD changes, it was introduced into the GRNN prediction model to further improve the accuracy of prediction. Experiments with the observational data of LOD changes show that the prediction accuracy of the GRNN model is 6.1% higher than that of BP network, and after introducing AAM function, the improvement of prediction accuracy further increases to 14.7%. The results show that the GRNN with AAM function is an effective prediction method for LOD changes.
基金Supported by National Natural Science Foundation of China (No.90208003, 30200059), the 973 Project (No. 2003CB716106), Doctor training Fund of MOE, P.R.C., and Fok Ying Tong Education Foundation (No.91041)
文摘General linear model (GLM) is the most popular method for functional magnetic resource imaging (fMRI) data analysis . However, its theory is imperfect. The key of this model is how to constitute the design-matrix to model the interesting effects better and separate noises better. For the purpose of detecting brain function activation , according to the principle of GLM,a new convolution model is presented by a new dynamic function convolving with design-matrix,which combining with t-test can be used to detect brain active signal. The fMRI imaging result of visual stimulus experiment indicates that brain activities mainly concentrate among v1and v2 areas of visual cortex, and also verified the validity of this technique.
文摘Li et al. (2015) claim that it is sufficient to use two harmonic functions to express the general solution of Stokes equations. In this paper, we demonstrate that this is not true in a general case and that we in fact need three scalar harmonic functions to represent the general solution of Stokes equations (Venkatalaxmi et al., 2004).
文摘The importance of equations of state (EOS) has brought about the proliferation of hundreds of EOS. Nearly all prevailing cubic EOS could be regarded as the results of reforming the original vdW EOS. However, the accuracy of the vdW EOS is so low. In view of this, a new general equation is proposed that could be used to value or compare vdW type of EOS, and consequently develop a better vdW type of EOS.
文摘The coupling feature of transversely isotropic magnetoelectroelastic solids are governed by a system of five partial differential equations with respect to the elastic displacements, the electric potential and the magnetic potential. Based on the potential theory, the coupled equations are reduced to the five uncoupled generalized Laplace equations with respect to five potential functions. Further, the elastic fields and electromagnetic fields are expressed in terms of the potential functions. These expressions construct the general solution of transversely isotropic magnetoelectroelastic media.
基金supported by the Dong-A University research fund
文摘In this article, we consider a differential inclusion of Kirchhoff type with a memory condition at the boundary. We prove the asymptotic behavior of the corresponding solutions. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.
基金Supported by the Fundamental Research Funds for the Central Universities (Grant No. CDJXS10100016)
文摘In this paper, we consider the following viscoelastic equation utt-△u＋∫^t o g（t-s）△u（s）ds＋a（x）ut＋u｜u｜^r=0 with initial condition and Dirichlet boundary condition. The decay property of the energy function closely depends on the properties of the relaxation function g（t） at infinity. In the previous works of [3, 7, 11], it was required that the relaxation function g（t） decay exponentially or polynomially as t→Woo. In the recent work of Messaoudi [12, 13], it was shown that the energy decays at a similar rate of decay of the relaxation function, which is not necessarily dacaying in a polynomial or exponential fashion. Motivated by [12, 13], under some assumptions on g（x）, a（x） and r, and by introducing a new perturbed energy, we also prove the similar results for the above equation.
