Neurons can detect weak signals in noisy cellular environments and complex backgrounds. Channel blocks have a great impact on the initiation and propagation of action potentials for neurons. The effects of channel blocks and electromagnetic stimulus on weak signal detection are studied in Hodgkin–Huxley neuronal network. The results suggest that the weak signal detection and the neural discharge behaviors of the neural network can be suppressed by the sodium channel blockage, whereas the block of potassium channels will have a positive impact on the signal detection and neuronal firing. For moderate membrane patch size, there is an optimal ratio of non-blocked potassium channels that maximize improvement in the detection of weak signals and the regularity of the neuronal activities. The combined influence of the two channel blocks on weak signal detection can be modulated by the ratio between the number of the sodium channels and potassium channels that function properly. The electromagnetic stimulus can significantly ameliorate the damage caused by the poisoning of sodium ion channels. In addition, synchronization of the neural network can promote weak signal detection.
{"title":"Weak signal detection in the Hodgkin-Huxley neural network with channel blocks under electromagnetic stimulus","authors":"Huilan Yang, Guizhi Xu, Shuxiang Tian, Haijun Zhu, Yixuan Shan","doi":"10.1142/s0219477524500093","DOIUrl":"https://doi.org/10.1142/s0219477524500093","url":null,"abstract":"Neurons can detect weak signals in noisy cellular environments and complex backgrounds. Channel blocks have a great impact on the initiation and propagation of action potentials for neurons. The effects of channel blocks and electromagnetic stimulus on weak signal detection are studied in Hodgkin–Huxley neuronal network. The results suggest that the weak signal detection and the neural discharge behaviors of the neural network can be suppressed by the sodium channel blockage, whereas the block of potassium channels will have a positive impact on the signal detection and neuronal firing. For moderate membrane patch size, there is an optimal ratio of non-blocked potassium channels that maximize improvement in the detection of weak signals and the regularity of the neuronal activities. The combined influence of the two channel blocks on weak signal detection can be modulated by the ratio between the number of the sodium channels and potassium channels that function properly. The electromagnetic stimulus can significantly ameliorate the damage caused by the poisoning of sodium ion channels. In addition, synchronization of the neural network can promote weak signal detection.","PeriodicalId":55155,"journal":{"name":"Fluctuation and Noise Letters","volume":"14 9","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135728301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-04DOI: 10.1142/s0219477524500068
Hongcui Wang, Chaoqun Xu
This paper is concerned with the attracting set of an ant colonies model with bounded noisy perturbation. This perturbation is modeled by the well-known Ornstein–Uhlenbeck process and the arc tangent function. For the random model, we first verify the existence and uniqueness of the global positive solution, and then prove the existence of the deterministic attracting set. Furthermore, in order to reveal more detailed information about the long-time behavior of the ant colonies system, we analyze the internal structure of the attracting set and provide some conditions under which coexistence (or extinction) of the ant species exists in the ant colonies system.
{"title":"Existence and internal structure of the deterministic attracting set for a random ant colonies model","authors":"Hongcui Wang, Chaoqun Xu","doi":"10.1142/s0219477524500068","DOIUrl":"https://doi.org/10.1142/s0219477524500068","url":null,"abstract":"This paper is concerned with the attracting set of an ant colonies model with bounded noisy perturbation. This perturbation is modeled by the well-known Ornstein–Uhlenbeck process and the arc tangent function. For the random model, we first verify the existence and uniqueness of the global positive solution, and then prove the existence of the deterministic attracting set. Furthermore, in order to reveal more detailed information about the long-time behavior of the ant colonies system, we analyze the internal structure of the attracting set and provide some conditions under which coexistence (or extinction) of the ant species exists in the ant colonies system.","PeriodicalId":55155,"journal":{"name":"Fluctuation and Noise Letters","volume":"14 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135728306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-01DOI: 10.1142/s0219477524500159
Stefano Lepri
We consider a model for chaotic diffusion with amplification on graphs associated with piecewise-linear maps of the interval [S. Lepri, Chaos Solitons&Fractals, 139,110003 (2020)]. We determine the conditions for having fat-tailed invariant measures by considering approximate solution of the Perron-Frobenius equation for generic graphs. An analogy with the statistical mechanics of a directed polymer is presented that allows for a physically appealing interpretation of the statistical regimes. The connection between non-Gaussian statistics and the generalized Lyapunov exponents $L(q)$ is illustrated. Finally, some results concerning large graphs are reported.
{"title":"Large Fluctuations in Amplifying Graphs","authors":"Stefano Lepri","doi":"10.1142/s0219477524500159","DOIUrl":"https://doi.org/10.1142/s0219477524500159","url":null,"abstract":"We consider a model for chaotic diffusion with amplification on graphs associated with piecewise-linear maps of the interval [S. Lepri, Chaos Solitons&Fractals, 139,110003 (2020)]. We determine the conditions for having fat-tailed invariant measures by considering approximate solution of the Perron-Frobenius equation for generic graphs. An analogy with the statistical mechanics of a directed polymer is presented that allows for a physically appealing interpretation of the statistical regimes. The connection between non-Gaussian statistics and the generalized Lyapunov exponents $L(q)$ is illustrated. Finally, some results concerning large graphs are reported.","PeriodicalId":55155,"journal":{"name":"Fluctuation and Noise Letters","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135162011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-27DOI: 10.1142/s0219477524400078
Gabriele Gotti, Stefano Iubini, Paolo Politi
{"title":"Relaxation dynamics and finite-size effects in a simple model of condensation","authors":"Gabriele Gotti, Stefano Iubini, Paolo Politi","doi":"10.1142/s0219477524400078","DOIUrl":"https://doi.org/10.1142/s0219477524400078","url":null,"abstract":"","PeriodicalId":55155,"journal":{"name":"Fluctuation and Noise Letters","volume":"38 18","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136312423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-27DOI: 10.1142/s0219477524400054
Zakir Mujeeb Shaikh, Suguna Ramadass, Bishwajeet Prakash, Jumaniyazov Inomjon Turayevich, Majed Alhaisoni, Ch Muhammad Naeem Akbar
{"title":"Data-Driven Decision Making in Stock Portfolio Management: LSTM and Monte Carlo Simulation in Action","authors":"Zakir Mujeeb Shaikh, Suguna Ramadass, Bishwajeet Prakash, Jumaniyazov Inomjon Turayevich, Majed Alhaisoni, Ch Muhammad Naeem Akbar","doi":"10.1142/s0219477524400054","DOIUrl":"https://doi.org/10.1142/s0219477524400054","url":null,"abstract":"","PeriodicalId":55155,"journal":{"name":"Fluctuation and Noise Letters","volume":"5 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136312488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-27DOI: 10.1142/s0219477524500147
Arkady V. Yakimov, Alexey V. Klyuev, Dmitry O. Filatov, Oleg N. Gorshkov, Dmitry A. Antonov, Alexey N. Mikhaylov, Viktor S. Kochergin, Nikolaos Vasileiadis, Panagiotis Dimitrakis
{"title":"Effect of nitrogen ion diffusion jumps in nanometer-sized si<sub>3</sub>n<sub>4</sub> memristors investigated by low-frequency noise spectroscopy","authors":"Arkady V. Yakimov, Alexey V. Klyuev, Dmitry O. Filatov, Oleg N. Gorshkov, Dmitry A. Antonov, Alexey N. Mikhaylov, Viktor S. Kochergin, Nikolaos Vasileiadis, Panagiotis Dimitrakis","doi":"10.1142/s0219477524500147","DOIUrl":"https://doi.org/10.1142/s0219477524500147","url":null,"abstract":"","PeriodicalId":55155,"journal":{"name":"Fluctuation and Noise Letters","volume":"366 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136312436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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