中国物理B ›› 2022, Vol. 31 ›› Issue (2): 28901-028901.doi: 10.1088/1674-1056/ac0eeb

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Collective behavior of cortico-thalamic circuits: Logic gates as the thalamus and a dynamical neuronal network as the cortex

Alireza Bahramian1, Sajjad Shaukat Jamal2, Fatemeh Parastesh1, Kartikeyan Rajagopal3, and Sajad Jafari1,4,†   

  1. 1 Department of Biomedical Engineering, Amirkabir University of Technology(Tehran polytechnic), Iran;
    2 Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia;
    3 Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, India;
    4 Health Technology Research Institute, Amirkabir University of Technology(Tehran polytechnic), Iran
  • 收稿日期:2021-05-05 修回日期:2021-06-23 接受日期:2021-06-28 出版日期:2022-01-13 发布日期:2022-01-25
  • 通讯作者: Sajad Jafari E-mail:sajadjafari83@gmail.com
  • 基金资助:
    One of the authors Sajjad Shaukat Jamal extends his gratitude to the Deanship of Scientific Research at King Khalid University for funding this work through the research groups program (Grant No. R. G. P. 2/48/42).

Collective behavior of cortico-thalamic circuits: Logic gates as the thalamus and a dynamical neuronal network as the cortex

Alireza Bahramian1, Sajjad Shaukat Jamal2, Fatemeh Parastesh1, Kartikeyan Rajagopal3, and Sajad Jafari1,4,†   

  1. 1 Department of Biomedical Engineering, Amirkabir University of Technology(Tehran polytechnic), Iran;
    2 Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia;
    3 Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, India;
    4 Health Technology Research Institute, Amirkabir University of Technology(Tehran polytechnic), Iran
  • Received:2021-05-05 Revised:2021-06-23 Accepted:2021-06-28 Online:2022-01-13 Published:2022-01-25
  • Contact: Sajad Jafari E-mail:sajadjafari83@gmail.com
  • Supported by:
    One of the authors Sajjad Shaukat Jamal extends his gratitude to the Deanship of Scientific Research at King Khalid University for funding this work through the research groups program (Grant No. R. G. P. 2/48/42).

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摘要： This paper introduces a two-layer network to investigate the effects of cortico-thalamic circuits on the cortex's collective behavior. In the brain, different parts of the cortex collaborate to process information. One of the main parts, which is the path of different cortex contacts, is the thalamus whose circuit is referred to as the "vertical" cortico-thalamic connectivity. Thalamus subnuclei can participate in the processing of the information that passes through them. It has been shown that they play the functional role of logic gates (AND, OR and XOR). To study how these thalamus circuits affect the cortical neuron behavior, a two-layer network is proposed wherein the cortex layer is composed of Hindmarsh-Rose models and the thalamus layer is constructed with logic gates. Results show that considering these logic gates can lead the network towards different synchronization, asynchronization, chimera and solitary patterns. It is revealed that for AND-gate and OR-gate, increasing the number of gates or their outputs can increase and decrease the network's coherency in excitatory and inhibitory cases, respectively. However, considering XOR-gates always results in the chimera state.

关键词: two-layer network, synchronization, chimera state, thalamus and cortex

Abstract: This paper introduces a two-layer network to investigate the effects of cortico-thalamic circuits on the cortex's collective behavior. In the brain, different parts of the cortex collaborate to process information. One of the main parts, which is the path of different cortex contacts, is the thalamus whose circuit is referred to as the "vertical" cortico-thalamic connectivity. Thalamus subnuclei can participate in the processing of the information that passes through them. It has been shown that they play the functional role of logic gates (AND, OR and XOR). To study how these thalamus circuits affect the cortical neuron behavior, a two-layer network is proposed wherein the cortex layer is composed of Hindmarsh-Rose models and the thalamus layer is constructed with logic gates. Results show that considering these logic gates can lead the network towards different synchronization, asynchronization, chimera and solitary patterns. It is revealed that for AND-gate and OR-gate, increasing the number of gates or their outputs can increase and decrease the network's coherency in excitatory and inhibitory cases, respectively. However, considering XOR-gates always results in the chimera state.

Key words: two-layer network, synchronization, chimera state, thalamus and cortex

中图分类号:  (Complex systems)

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05.45.Xt (Synchronization; coupled oscillators)