{"title":"Dynamics of antiphase bursting modulated by the inhibitory synaptic and hyperpolarization-activated cation currents","authors":"Linan Guan, Huaguang Gu, Xinjing Zhang","doi":"10.3389/fncom.2024.1303925","DOIUrl":null,"url":null,"abstract":"Antiphase bursting related to the rhythmic motor behavior exhibits complex dynamics modulated by the inhibitory synaptic current (<jats:italic>I</jats:italic><jats:sub>syn</jats:sub>), especially in the presence of the hyperpolarization-activated cation current (<jats:italic>I</jats:italic><jats:sub>h</jats:sub>). In the present paper, the dynamics of antiphase bursting modulated by the <jats:italic>I</jats:italic><jats:sub>h</jats:sub> and <jats:italic>I</jats:italic><jats:sub>syn</jats:sub> is studied in three aspects with a theoretical model. Firstly, the <jats:italic>I</jats:italic><jats:sub>syn</jats:sub> and the slow <jats:italic>I</jats:italic><jats:sub>h</jats:sub> with strong strength are the identified to be the necessary conditions for the antiphase bursting. The dependence of the antiphase bursting on the two currents is different for low (escape mode) and high (release mode) threshold voltages (<jats:italic>V</jats:italic><jats:sub>th</jats:sub>) of the inhibitory synapse. Secondly, more detailed co-regulations of the two currents to induce opposite changes of the bursting period are obtained. For the escape mode, increase of the <jats:italic>I</jats:italic><jats:sub>h</jats:sub> induces elevated membrane potential of the silence inhibited by a strong <jats:italic>I</jats:italic><jats:sub>syn</jats:sub> and shortened silence duration to go beyond <jats:italic>V</jats:italic><jats:sub>th</jats:sub>, resulting in reduced bursting period. For the release mode, increase of the <jats:italic>I</jats:italic><jats:sub>h</jats:sub> induces elevated tough value of the former part of the burst modulated by a nearly zero <jats:italic>I</jats:italic><jats:sub>syn</jats:sub> and lengthen burst duration to fall below <jats:italic>V</jats:italic><jats:sub>th</jats:sub>, resulting in prolonged bursting period. Finally, the fast-slow dynamics of the antiphase bursting are acquired. Using one-and two-parameter bifurcations of the fast subsystem of a single neuron, the burst of the antiphase bursting is related to the stable limit cycle, and the silence modulated by a strong <jats:italic>I</jats:italic><jats:sub>syn</jats:sub> to the stable equilibrium to a certain extent. The <jats:italic>I</jats:italic><jats:sub>h</jats:sub> mainly modulates the dynamics within the burst and quiescent state. Furthermore, with the fast subsystem of the coupled neurons, the silence is associated with the unstable equilibrium point. The results present theoretical explanations to the changes in the bursting period and fast-slow dynamics of the antiphase bursting modulated by the <jats:italic>I</jats:italic><jats:sub>syn</jats:sub> and <jats:italic>I</jats:italic><jats:sub>h</jats:sub>, which is helpful for understanding the antiphase bursting and modulating rhythmic motor patterns.","PeriodicalId":12363,"journal":{"name":"Frontiers in Computational Neuroscience","volume":"38 1","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Frontiers in Computational Neuroscience","FirstCategoryId":"3","ListUrlMain":"https://doi.org/10.3389/fncom.2024.1303925","RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICAL & COMPUTATIONAL BIOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
Antiphase bursting related to the rhythmic motor behavior exhibits complex dynamics modulated by the inhibitory synaptic current (Isyn), especially in the presence of the hyperpolarization-activated cation current (Ih). In the present paper, the dynamics of antiphase bursting modulated by the Ih and Isyn is studied in three aspects with a theoretical model. Firstly, the Isyn and the slow Ih with strong strength are the identified to be the necessary conditions for the antiphase bursting. The dependence of the antiphase bursting on the two currents is different for low (escape mode) and high (release mode) threshold voltages (Vth) of the inhibitory synapse. Secondly, more detailed co-regulations of the two currents to induce opposite changes of the bursting period are obtained. For the escape mode, increase of the Ih induces elevated membrane potential of the silence inhibited by a strong Isyn and shortened silence duration to go beyond Vth, resulting in reduced bursting period. For the release mode, increase of the Ih induces elevated tough value of the former part of the burst modulated by a nearly zero Isyn and lengthen burst duration to fall below Vth, resulting in prolonged bursting period. Finally, the fast-slow dynamics of the antiphase bursting are acquired. Using one-and two-parameter bifurcations of the fast subsystem of a single neuron, the burst of the antiphase bursting is related to the stable limit cycle, and the silence modulated by a strong Isyn to the stable equilibrium to a certain extent. The Ih mainly modulates the dynamics within the burst and quiescent state. Furthermore, with the fast subsystem of the coupled neurons, the silence is associated with the unstable equilibrium point. The results present theoretical explanations to the changes in the bursting period and fast-slow dynamics of the antiphase bursting modulated by the Isyn and Ih, which is helpful for understanding the antiphase bursting and modulating rhythmic motor patterns.
期刊介绍:
Frontiers in Computational Neuroscience is a first-tier electronic journal devoted to promoting theoretical modeling of brain function and fostering interdisciplinary interactions between theoretical and experimental neuroscience. Progress in understanding the amazing capabilities of the brain is still limited, and we believe that it will only come with deep theoretical thinking and mutually stimulating cooperation between different disciplines and approaches. We therefore invite original contributions on a wide range of topics that present the fruits of such cooperation, or provide stimuli for future alliances. We aim to provide an interactive forum for cutting-edge theoretical studies of the nervous system, and for promulgating the best theoretical research to the broader neuroscience community. Models of all styles and at all levels are welcome, from biophysically motivated realistic simulations of neurons and synapses to high-level abstract models of inference and decision making. While the journal is primarily focused on theoretically based and driven research, we welcome experimental studies that validate and test theoretical conclusions.
Also: comp neuro