Objective Repetitive transcranial magnetic stimulation(rTMS)has demonstrated efficacy in enhancing neurocognitive performance in Alzheimer’s disease(AD),but the neurobiological mechanisms linking synaptic pathology,n...Objective Repetitive transcranial magnetic stimulation(rTMS)has demonstrated efficacy in enhancing neurocognitive performance in Alzheimer’s disease(AD),but the neurobiological mechanisms linking synaptic pathology,neural oscillatory dynamics,and brain network reorganization remain unclear.This investigation seeks to systematically evaluate the therapeutic potential of rTMS as a non-invasive neuromodulatory intervention through a multimodal framework integrating clinical assessments,molecular profiling,and neurophysiological monitoring.Methods In this prospective double-blind trial,12 AD patients underwent a 14-day protocol of 20 Hz rTMS,with comprehensive multimodal assessments performed pre-and postintervention.Cognitive functioning was quantified using the mini-mental state examination(MMSE)and Montreal cognitive assessment(MOCA),while daily living capacities and neuropsychiatric profiles were respectively evaluated through the activities of daily living(ADL)scale and combined neuropsychiatric inventory(NPI)-Hamilton depression rating scale(HAMD).Peripheral blood biomarkers,specifically Aβ1-40 and phosphorylated tau(p-tau181),were analyzed to investigate the effects of rTMS on molecular metabolism.Spectral power analysis was employed to investigate rTMS-induced modulations of neural rhythms in AD patients,while brain network analyses incorporating topological properties were conducted to examine stimulus-driven network reorganization.Furthermore,systematic assessment of correlations between cognitive scale scores,blood biomarkers,and network characteristics was performed to elucidate cross-modal therapeutic associations.Results Clinically,MMSE and MOCA scores improved significantly(P<0.05).Biomarker showed that Aβ1-40 level increased(P<0.05),contrasting with p-tau181 reduction.Moreover,the levels of Aβ1-40 were positively correlated with MMSE and MOCA scores.Post-intervention analyses revealed significant modulations in oscillatory power,characterized by pronounced reductions in delta(P<0.05)and theta bands(P<0.05),while concurrent enhancements were observed in alpha,beta,and gamma band activities(all P<0.05).Network analysis revealed frequency-specific reorganization:clustering coefficients were significantly decreased in delta,theta,and alpha bands(P<0.05),while global efficiency improvement was exclusively detected in the delta band(P<0.05).The alpha band demonstrated concurrent increases in average nodal degree(P<0.05)and characteristic path length reduction(P<0.05).Further research findings indicate that the changes in the clinical scale HAMD scores before and after rTMS stimulation are negatively correlated with the changes in the blood biomarkers Aβ1-40 and p-tau181.Additionally,the changes in the clinical scales MMSE and MoCA scores were negatively correlated with the changes in the node degree of the alpha frequency band and negatively correlated with the clustering coefficient of the delta frequency band.However,the changes in MMSE scores are positively correlated with the changes in global efficiency of both the delta and alpha frequency bands.Conclusion 20 Hz rTMS targeting dorsolateral prefrontal cortex(DLPFC)significantly improves cognitive function and enhances the metabolic clearance ofβ-amyloid and tau proteins in AD patients.This neurotherapeutic effect is mechanistically associated with rTMS-mediated frequency-selective neuromodulation,which enhances the connectivity of oscillatory networks through improved neuronal synchronization and optimized topological organization of functional brain networks.These findings not only support the efficacy of rTMS as an adjunctive therapy for AD but also underscore the importance of employing multiple assessment methods—including clinical scales,blood biomarkers,and EEG——in understanding and monitoring the progression of AD.This research provides a significant theoretical foundation and empirical evidence for further exploration of rTMS applications in AD treatment.展开更多
The idea of a network society was introduced by Western sociologists at the end of the 20th century after in-depth research was conducted from perspectives such as informationalism.Influenced by these developments,the...The idea of a network society was introduced by Western sociologists at the end of the 20th century after in-depth research was conducted from perspectives such as informationalism.Influenced by these developments,the concept of constructing a network society also emerged in China.Over the past 30 years,China has made significant progress and achievements in constructing a network society,both in terms of its fundamental construction and social development.It is important that these advancements be summarized and reviewed.China’s network society construction can be divided into two relatively independent yet interconnected components,based on their focal points:its foundational infrastructure and its social development.These two components of China’s network society are managed by different departments.China has integrated the fundamental construction of its network society with the social development of its network society,thereby achieving unified planning,collaborative advancement,and coordinated development.This approach aims to harmonize two aspects:building China’s cyberspace strength and contributing to Chinese informatization,thereby advancing Chinese modernization.展开更多
[Objectives]This study was conducted to explore the action mechanism of limonoids against Alzheimer s disease(AD)based on network pharmacology and molecular docking techniques.[Methods]Limonoid compounds were obtained...[Objectives]This study was conducted to explore the action mechanism of limonoids against Alzheimer s disease(AD)based on network pharmacology and molecular docking techniques.[Methods]Limonoid compounds were obtained through literature research(January 1942 to January 2021).Active components and potential targets of limonoids were retrieved from PubChem,TCMSP,and Swiss Target Prediction databases.AD-related targets were obtained from the GeneCards database,and intersecting targets were identified using Venny 2.1.0 to obtain the action targets of limonoids against AD.The protein-protein interaction(PPI)network was constructed using the String platform,and key targets were screened and visualized via network topology analysis with Cytoscape software.GO and KEGG pathway enrichment analyses were performed using the Metascape database,and a"drug-component-target-pathway-disease"network diagram was constructed using Cytoscape.AutoDock was empolyed for molecular docking to predict the binding properties of limonoid active components and their targets.[Results]A total of 60 limonoid compounds were obtained from literature research.Network pharmacology analysis showed 58 effective active components and 134 common targets between limonoids and AD.Key targets included AKT1(serine/threonine-protein kinase 1),TNF(tumor necrosis factor),STAT3(signal transducer and activator of transcription 3),BCL2(B-cell lymphoma 2),and EGFR(epidermal growth factor receptor).KEGG enrichment analysis revealed key signaling pathways such as pathways in cancer,Kaposi sarcoma-associated herpesvirus infection,PI3K-Akt signaling pathway,lipid and atherosclerosis,proteoglycans in cancer,MAPK signaling pathway,and Ras signaling pathway.Molecular docking results indicated that aphanamixoid A,obacunol,cipadesin C,harpertrioate A,xylogranatin A,11-oxocneorin G,evodulone,methyl angolensate,harrpemoid B and khivorin may be key components of limonoids against AD.[Conclusions]Limonoids exert anti-Alzheimer s effects through a multi-molecule,multi-target and multi-pathway mechanism.展开更多
This study aims to explore the mechanism by which flavonoids in Crataegus pinnatifida fruit improve Alzheimer’s disease(AD)through network pharmacology and molecular docking technology.The flavonoid components presen...This study aims to explore the mechanism by which flavonoids in Crataegus pinnatifida fruit improve Alzheimer’s disease(AD)through network pharmacology and molecular docking technology.The flavonoid components present in Crataegus pinnatifida fruit were gathered from the HERB,HIT,and ETCM databases,and were further supplemented by relevant published literature.The PubChem and SwissTargetPrediction databases were utilized to predict potential targets,and a“Crataegus pinnatifida fruit-active ingredient-target”network was constructed using Cytoscape 3.9.0 software.The GeneCards database was utilized to identify targets associated with AD,which were subsequently intersected with the active targets of Crataegus pinnatifi da fruit.A protein-protein interaction(PPI)network was constructed using the STRING platform.KEGG enrichment analysis of the core targets was conducted on an online bioinformatics mapping platform,while molecular docking of the primary active components and core targets was executed using AutoDock software.Eight flavonoids and 160 potential targets were identifi ed from Crataegus pinnatifi da fruit,of which 147 targets were linked to AD.The results of the“Crataegus pinnatifi da fruit-active ingredient-target”network indicated that quercetin was the principal flavonoid active ingredient.PPI analysis revealed that SRC and EGFR were the key targets,and KEGG analysis identifi ed the main enrichment pathways as Pathways in cancer,PI3K/Akt signaling pathway,and Proteoglycans in cancer.Molecular docking confi rmed the strong binding affi nity between the core targets and the primary active ingredient.The interaction of quercetin with the key targets SRC and EGFR may represent a signifi cant mechanism by which flavonoids from Crataegus pinnatifi da fruit contribute to the improvement of AD.展开更多
(±)-Penicithrones A–D(1a/1b–4a/4b),four novel pairs of anthrone–cyclopentenone heterodimers characterized by a distinctive bridged 6/6/6−5 tetracyclic core skeleton,together with three previously identified co...(±)-Penicithrones A–D(1a/1b–4a/4b),four novel pairs of anthrone–cyclopentenone heterodimers characterized by a distinctive bridged 6/6/6−5 tetracyclic core skeleton,together with three previously identified compounds(5–7),were isolated from the crude extract of the mangrove-derived fungus Penicillium sp.,guided by heteronuclear single quantum correlation(HSQC)-based small molecule accurate recognition technology(SMART 2.0)and liquid chromatography-tandem mass spectrometry(LC-MS/MS)-based molecular networking.The structural elucidation of new compounds was accomplished through comprehensive spectroscopic analysis,and their absolute configurations were determined using DP4+^(13)C nuclear magnetic resonance(NMR)calculations and electronic circular dichroism(ECD)calculations.Compounds 1a/1b–4a/4b demonstrated moderate cytotoxicity against three human cancer cell lines HeLa,HCT116 and MCF-7 with half maximal inhibitory concentration(IC50)values ranging from 15.95±1.64 to 28.56±2.59μmol·L–1.展开更多
Any malfunctions of the actuators of the robots have the potential to destroy the robot’s normal motion,and most of the current actuator fault diagnosis methods are difficult to meet the requirements of simplifying t...Any malfunctions of the actuators of the robots have the potential to destroy the robot’s normal motion,and most of the current actuator fault diagnosis methods are difficult to meet the requirements of simplifying the actuator modeling and solving the difficulty of fault data collection.To solve the problem of real-time diagnosis of actuator faults in the 3-PR(P)S parallel robot,the model of 3-PR(P)S parallel robot and data-driven-based method for the fault diagnosis are presented.Firstly,only the input-output relationship of the actuator is considered for modeling actuator faults,reducing the complexity of fault modeling and reducing the time consumption of parameter identification,thereby meeting the requirements of real-time diagnosis.A Simulink model of the electromechanical actuator(EMA)was constructed to analyze actuator faults.Then the short-term analysis method was employed for collecting the sample data of the slider position on the test platform of the EMA system and feature extraction.Training samples for neural networks are obtained.Furthermore,we optimized the Back Propagation(BP)neural network using the Dung Beetle Optimization Algorithm(DBO),which effectively resolved the weights and thresholds of the BP neural network.Compared to BP and Particle Swarm Optimization(PSO)-BP,the DBO-BP has better convergence,convergence rate,and the best-classifying quality.So,the classification for the different actuator faults is obviously improved.Finally,a fault diagnosis system was designed for the actuator of the 3-PR(P)S parallel robot,and the experimental results demonstrate that this system can detect actuator faults within 0.1 seconds.This work also provides the technical support for the fault-tolerant control of the 3-PR(P)S Parallel robot.展开更多
Meteor Burst Communication(MBC),a niche yet revolutionary wireless communication paradigm,exploits the transient ionized trails generated by meteors ablating in Earth’s atmosphere to enable sporadic yet resilient lon...Meteor Burst Communication(MBC),a niche yet revolutionary wireless communication paradigm,exploits the transient ionized trails generated by meteors ablating in Earth’s atmosphere to enable sporadic yet resilient long-distance radio links.Known for its exceptional resilience,robustness,and sustained connectivity,MBC holds significant promise for applications in emergency communications,remote area connectivity,military/defense systems,and environmental monitoring.However,the scientific exploration and application of MBC have long been highly challenging.In particular,under the combined influence of multiple physical field factors,the channel experiences superimposed multiple random fading effects,exhibiting bursty,highly time-varying,and strongly random characteristics.This persistent technical challenge has resulted in the absence of a practical statistical channel model for MBC to date.展开更多
In this paper,a class of quaternion-valued cellular neural networks(QVCNNS)with time-varying delays are considered.Combining graph theory with the continuation theorem of Mawhin’s coincidence degree theory as well as...In this paper,a class of quaternion-valued cellular neural networks(QVCNNS)with time-varying delays are considered.Combining graph theory with the continuation theorem of Mawhin’s coincidence degree theory as well as Lyapunov functional method,we establish new criteria on the existence and exponential stability of periodic solutions for QVCNNS by removing the assumptions for the boundedness on the activation functions and the assumptions that the values of the activation functions are zero at origin.Hence,our results are less conservative and new.展开更多
文摘Objective Repetitive transcranial magnetic stimulation(rTMS)has demonstrated efficacy in enhancing neurocognitive performance in Alzheimer’s disease(AD),but the neurobiological mechanisms linking synaptic pathology,neural oscillatory dynamics,and brain network reorganization remain unclear.This investigation seeks to systematically evaluate the therapeutic potential of rTMS as a non-invasive neuromodulatory intervention through a multimodal framework integrating clinical assessments,molecular profiling,and neurophysiological monitoring.Methods In this prospective double-blind trial,12 AD patients underwent a 14-day protocol of 20 Hz rTMS,with comprehensive multimodal assessments performed pre-and postintervention.Cognitive functioning was quantified using the mini-mental state examination(MMSE)and Montreal cognitive assessment(MOCA),while daily living capacities and neuropsychiatric profiles were respectively evaluated through the activities of daily living(ADL)scale and combined neuropsychiatric inventory(NPI)-Hamilton depression rating scale(HAMD).Peripheral blood biomarkers,specifically Aβ1-40 and phosphorylated tau(p-tau181),were analyzed to investigate the effects of rTMS on molecular metabolism.Spectral power analysis was employed to investigate rTMS-induced modulations of neural rhythms in AD patients,while brain network analyses incorporating topological properties were conducted to examine stimulus-driven network reorganization.Furthermore,systematic assessment of correlations between cognitive scale scores,blood biomarkers,and network characteristics was performed to elucidate cross-modal therapeutic associations.Results Clinically,MMSE and MOCA scores improved significantly(P<0.05).Biomarker showed that Aβ1-40 level increased(P<0.05),contrasting with p-tau181 reduction.Moreover,the levels of Aβ1-40 were positively correlated with MMSE and MOCA scores.Post-intervention analyses revealed significant modulations in oscillatory power,characterized by pronounced reductions in delta(P<0.05)and theta bands(P<0.05),while concurrent enhancements were observed in alpha,beta,and gamma band activities(all P<0.05).Network analysis revealed frequency-specific reorganization:clustering coefficients were significantly decreased in delta,theta,and alpha bands(P<0.05),while global efficiency improvement was exclusively detected in the delta band(P<0.05).The alpha band demonstrated concurrent increases in average nodal degree(P<0.05)and characteristic path length reduction(P<0.05).Further research findings indicate that the changes in the clinical scale HAMD scores before and after rTMS stimulation are negatively correlated with the changes in the blood biomarkers Aβ1-40 and p-tau181.Additionally,the changes in the clinical scales MMSE and MoCA scores were negatively correlated with the changes in the node degree of the alpha frequency band and negatively correlated with the clustering coefficient of the delta frequency band.However,the changes in MMSE scores are positively correlated with the changes in global efficiency of both the delta and alpha frequency bands.Conclusion 20 Hz rTMS targeting dorsolateral prefrontal cortex(DLPFC)significantly improves cognitive function and enhances the metabolic clearance ofβ-amyloid and tau proteins in AD patients.This neurotherapeutic effect is mechanistically associated with rTMS-mediated frequency-selective neuromodulation,which enhances the connectivity of oscillatory networks through improved neuronal synchronization and optimized topological organization of functional brain networks.These findings not only support the efficacy of rTMS as an adjunctive therapy for AD but also underscore the importance of employing multiple assessment methods—including clinical scales,blood biomarkers,and EEG——in understanding and monitoring the progression of AD.This research provides a significant theoretical foundation and empirical evidence for further exploration of rTMS applications in AD treatment.
基金“Research on Social Change and Network Society Planning in the Internet of Everything Era”(ID:21BSH005),a project under the National Social Science Fund of China
文摘The idea of a network society was introduced by Western sociologists at the end of the 20th century after in-depth research was conducted from perspectives such as informationalism.Influenced by these developments,the concept of constructing a network society also emerged in China.Over the past 30 years,China has made significant progress and achievements in constructing a network society,both in terms of its fundamental construction and social development.It is important that these advancements be summarized and reviewed.China’s network society construction can be divided into two relatively independent yet interconnected components,based on their focal points:its foundational infrastructure and its social development.These two components of China’s network society are managed by different departments.China has integrated the fundamental construction of its network society with the social development of its network society,thereby achieving unified planning,collaborative advancement,and coordinated development.This approach aims to harmonize two aspects:building China’s cyberspace strength and contributing to Chinese informatization,thereby advancing Chinese modernization.
基金Supported by Science and Technology Fund of Guizhou health and Health Committee(gzwkj2024-240)Anshun City Science and Technology Bureau(ASKS[2024]01).
文摘[Objectives]This study was conducted to explore the action mechanism of limonoids against Alzheimer s disease(AD)based on network pharmacology and molecular docking techniques.[Methods]Limonoid compounds were obtained through literature research(January 1942 to January 2021).Active components and potential targets of limonoids were retrieved from PubChem,TCMSP,and Swiss Target Prediction databases.AD-related targets were obtained from the GeneCards database,and intersecting targets were identified using Venny 2.1.0 to obtain the action targets of limonoids against AD.The protein-protein interaction(PPI)network was constructed using the String platform,and key targets were screened and visualized via network topology analysis with Cytoscape software.GO and KEGG pathway enrichment analyses were performed using the Metascape database,and a"drug-component-target-pathway-disease"network diagram was constructed using Cytoscape.AutoDock was empolyed for molecular docking to predict the binding properties of limonoid active components and their targets.[Results]A total of 60 limonoid compounds were obtained from literature research.Network pharmacology analysis showed 58 effective active components and 134 common targets between limonoids and AD.Key targets included AKT1(serine/threonine-protein kinase 1),TNF(tumor necrosis factor),STAT3(signal transducer and activator of transcription 3),BCL2(B-cell lymphoma 2),and EGFR(epidermal growth factor receptor).KEGG enrichment analysis revealed key signaling pathways such as pathways in cancer,Kaposi sarcoma-associated herpesvirus infection,PI3K-Akt signaling pathway,lipid and atherosclerosis,proteoglycans in cancer,MAPK signaling pathway,and Ras signaling pathway.Molecular docking results indicated that aphanamixoid A,obacunol,cipadesin C,harpertrioate A,xylogranatin A,11-oxocneorin G,evodulone,methyl angolensate,harrpemoid B and khivorin may be key components of limonoids against AD.[Conclusions]Limonoids exert anti-Alzheimer s effects through a multi-molecule,multi-target and multi-pathway mechanism.
基金supported by National Natural Science Foundation of China(No.82374333,No.82173961)LiaoNing Revitalization Talents Program(XLYC2203200)+5 种基金SPU Excellent Youth Program(YQ202310)SPU Youth Career Development plan(ZQN202211)Key Laboratory of polysaccharide bioactivity evaluation of TCM of Liaoning Province-Liaoning Distinguished Professor Project for Ying Jia(2017)High-level innovation and entrepreneurship team of Liaoning Province(XLYC2008029)Liaoning Provincial Department of Education Fund(LJ212410163006,LJ212410163018)Postgraduate Education and Teaching Reform Research Project of Liaoning Province in 2024(LNYJG2024251).
文摘This study aims to explore the mechanism by which flavonoids in Crataegus pinnatifida fruit improve Alzheimer’s disease(AD)through network pharmacology and molecular docking technology.The flavonoid components present in Crataegus pinnatifida fruit were gathered from the HERB,HIT,and ETCM databases,and were further supplemented by relevant published literature.The PubChem and SwissTargetPrediction databases were utilized to predict potential targets,and a“Crataegus pinnatifida fruit-active ingredient-target”network was constructed using Cytoscape 3.9.0 software.The GeneCards database was utilized to identify targets associated with AD,which were subsequently intersected with the active targets of Crataegus pinnatifi da fruit.A protein-protein interaction(PPI)network was constructed using the STRING platform.KEGG enrichment analysis of the core targets was conducted on an online bioinformatics mapping platform,while molecular docking of the primary active components and core targets was executed using AutoDock software.Eight flavonoids and 160 potential targets were identifi ed from Crataegus pinnatifi da fruit,of which 147 targets were linked to AD.The results of the“Crataegus pinnatifi da fruit-active ingredient-target”network indicated that quercetin was the principal flavonoid active ingredient.PPI analysis revealed that SRC and EGFR were the key targets,and KEGG analysis identifi ed the main enrichment pathways as Pathways in cancer,PI3K/Akt signaling pathway,and Proteoglycans in cancer.Molecular docking confi rmed the strong binding affi nity between the core targets and the primary active ingredient.The interaction of quercetin with the key targets SRC and EGFR may represent a signifi cant mechanism by which flavonoids from Crataegus pinnatifi da fruit contribute to the improvement of AD.
基金supported by the National Key Research and Development Program of China(No.2022YFC2303100)the National Natural Science Foundation of China(Nos.32022002 and 21977113).
文摘(±)-Penicithrones A–D(1a/1b–4a/4b),four novel pairs of anthrone–cyclopentenone heterodimers characterized by a distinctive bridged 6/6/6−5 tetracyclic core skeleton,together with three previously identified compounds(5–7),were isolated from the crude extract of the mangrove-derived fungus Penicillium sp.,guided by heteronuclear single quantum correlation(HSQC)-based small molecule accurate recognition technology(SMART 2.0)and liquid chromatography-tandem mass spectrometry(LC-MS/MS)-based molecular networking.The structural elucidation of new compounds was accomplished through comprehensive spectroscopic analysis,and their absolute configurations were determined using DP4+^(13)C nuclear magnetic resonance(NMR)calculations and electronic circular dichroism(ECD)calculations.Compounds 1a/1b–4a/4b demonstrated moderate cytotoxicity against three human cancer cell lines HeLa,HCT116 and MCF-7 with half maximal inhibitory concentration(IC50)values ranging from 15.95±1.64 to 28.56±2.59μmol·L–1.
文摘Any malfunctions of the actuators of the robots have the potential to destroy the robot’s normal motion,and most of the current actuator fault diagnosis methods are difficult to meet the requirements of simplifying the actuator modeling and solving the difficulty of fault data collection.To solve the problem of real-time diagnosis of actuator faults in the 3-PR(P)S parallel robot,the model of 3-PR(P)S parallel robot and data-driven-based method for the fault diagnosis are presented.Firstly,only the input-output relationship of the actuator is considered for modeling actuator faults,reducing the complexity of fault modeling and reducing the time consumption of parameter identification,thereby meeting the requirements of real-time diagnosis.A Simulink model of the electromechanical actuator(EMA)was constructed to analyze actuator faults.Then the short-term analysis method was employed for collecting the sample data of the slider position on the test platform of the EMA system and feature extraction.Training samples for neural networks are obtained.Furthermore,we optimized the Back Propagation(BP)neural network using the Dung Beetle Optimization Algorithm(DBO),which effectively resolved the weights and thresholds of the BP neural network.Compared to BP and Particle Swarm Optimization(PSO)-BP,the DBO-BP has better convergence,convergence rate,and the best-classifying quality.So,the classification for the different actuator faults is obviously improved.Finally,a fault diagnosis system was designed for the actuator of the 3-PR(P)S parallel robot,and the experimental results demonstrate that this system can detect actuator faults within 0.1 seconds.This work also provides the technical support for the fault-tolerant control of the 3-PR(P)S Parallel robot.
文摘Meteor Burst Communication(MBC),a niche yet revolutionary wireless communication paradigm,exploits the transient ionized trails generated by meteors ablating in Earth’s atmosphere to enable sporadic yet resilient long-distance radio links.Known for its exceptional resilience,robustness,and sustained connectivity,MBC holds significant promise for applications in emergency communications,remote area connectivity,military/defense systems,and environmental monitoring.However,the scientific exploration and application of MBC have long been highly challenging.In particular,under the combined influence of multiple physical field factors,the channel experiences superimposed multiple random fading effects,exhibiting bursty,highly time-varying,and strongly random characteristics.This persistent technical challenge has resulted in the absence of a practical statistical channel model for MBC to date.
基金Supported by the Innovation Platform Open Fund in Hunan Province Colleges and Universities of China(201485).
文摘In this paper,a class of quaternion-valued cellular neural networks(QVCNNS)with time-varying delays are considered.Combining graph theory with the continuation theorem of Mawhin’s coincidence degree theory as well as Lyapunov functional method,we establish new criteria on the existence and exponential stability of periodic solutions for QVCNNS by removing the assumptions for the boundedness on the activation functions and the assumptions that the values of the activation functions are zero at origin.Hence,our results are less conservative and new.