Effect of magnetic flow and external forcing current on mixed bursting in the pre-Bötzinger complex

doi:10.1088/1674-1056/ab43b9

中国物理B ›› 2019, Vol. 28 ›› Issue (11): 110501-110501.doi: 10.1088/1674-1056/ab43b9

Effect of magnetic flow and external forcing current on mixed bursting in the pre-Bötzinger complex

Dou-Dou Guo(郭豆豆), Zhuo-Sheng Lü(吕卓生)

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

收稿日期:2019-06-18 修回日期:2019-08-23 出版日期:2019-11-05 发布日期:2019-11-05
通讯作者: Zhuo-Sheng Lü E-mail:lvzhsh@amss.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11772069 and 11872003).

Effect of magnetic flow and external forcing current on mixed bursting in the pre-Bötzinger complex

Dou-Dou Guo(郭豆豆), Zhuo-Sheng Lü(吕卓生)

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2019-06-18 Revised:2019-08-23 Online:2019-11-05 Published:2019-11-05
Contact: Zhuo-Sheng Lü E-mail:lvzhsh@amss.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11772069 and 11872003).

摘要/Abstract

摘要： The pre-Bötzinger complex (pre-BötC) in mammalian brainstem is essential for the generation of respiratory rhythms. Most dynamic studies on the pre-BötC neuron have been focused on its firing activities modulated by the ion conductances rather than that by the electromagnetic radiation or the external forcing current. In this paper, by adding the electromagnetic radiation and external forcing current to Park and Rubin's model, we mainly investigate the influences of those two factors on the mixed bursting (MB) of single pre-BötC neuron. First, we explore how the variation of external forcing current affects the MB patterns of the system with non-vanishing magnetic flux. We classify the MB patterns and show their dynamic mechanism through fast-slow decomposition and bifurcation analysis. Then, by modifying the feedback coefficient, we further analyze the sole effect of electromagnetic radiation on the firing activities of the system. Our results may be instructive in understanding the dynamical behavior of pre-BötC neuron.

关键词: pre-Bötzinger complex, mixed bursting, magnetic flow, dynamical analysis

Abstract: The pre-Bötzinger complex (pre-BötC) in mammalian brainstem is essential for the generation of respiratory rhythms. Most dynamic studies on the pre-BötC neuron have been focused on its firing activities modulated by the ion conductances rather than that by the electromagnetic radiation or the external forcing current. In this paper, by adding the electromagnetic radiation and external forcing current to Park and Rubin's model, we mainly investigate the influences of those two factors on the mixed bursting (MB) of single pre-BötC neuron. First, we explore how the variation of external forcing current affects the MB patterns of the system with non-vanishing magnetic flux. We classify the MB patterns and show their dynamic mechanism through fast-slow decomposition and bifurcation analysis. Then, by modifying the feedback coefficient, we further analyze the sole effect of electromagnetic radiation on the firing activities of the system. Our results may be instructive in understanding the dynamical behavior of pre-BötC neuron.

Key words: pre-Bötzinger complex, mixed bursting, magnetic flow, dynamical analysis

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Xt (Synchronization; coupled oscillators)

郭豆豆, 吕卓生. Effect of magnetic flow and external forcing current on mixed bursting in the pre-Bötzinger complex[J]. 中国物理B, 2019, 28(11): 110501-110501.

Dou-Dou Guo(郭豆豆), Zhuo-Sheng Lü(吕卓生). Effect of magnetic flow and external forcing current on mixed bursting in the pre-Bötzinger complex[J]. Chin. Phys. B, 2019, 28(11): 110501-110501.

参考文献 27

[1]	Smith J C, Ellenberger H H, Ballanyi K, Richter D W and Feldman J L 1991 Science 254 726 doi: 10.1126/science.1683005
[2]	Feldman J L, Negro C A D and Gray P A 2013 Annu. Rev. Physiol. 75 423 doi: 10.1146/annurev-physiol-040510-130049
[3]	Kam K, Worrell J W, Janczewski W A, Cui Y and Feldman J L 2013 J. Neurosci. 33 9235 doi: 10.1523/JNEUROSCI.4143-12.2013
[4]	Lieske S P, Thoby-Brisson M, Telgkamp P and Ramirez J M 2000 Nat. Neurosci. 3 600 doi: 10.1038/75776
[5]	Ruangkittisakul A, Schwarzacher S W, Secchia L, Ma Y, Bobocea N, Poon B Y, Funk G D and Ballanyi K 2008 J. Neurosci. 28 2447 doi: 10.1523/JNEUROSCI.1926-07.2008
[6]	Caughey J L J 1943 Am. Rev. Tuberc. 48 382
[7]	Li P, Janczewski W A, Yackle K, Kam K, Pagliardini S, Krasnow M A and Feldman J L 2016 Nature 530 293 doi: 10.1038/nature16964
[8]	Butera R J, Rinzel J and Smith J C 1999 J. Neurophysiol. 82 382 doi: 10.1152/jn.1999.82.1.382
[9]	Butera R J, Rinzel J and Smith J C 1999 J. Neurophysiol. 82 398 doi: 10.1152/jn.1999.82.1.398
[10]	Best J, Borisyuk A, Rubin J, Terman D and Wechselberger M 2005 SIAM J. Appl. Dyn. Syst. 4 1107 doi: 10.1137/050625540
[11]	Duan L X, Zhai D H and Tang X H 2012 Int. J. Bifurcation and Chaos 22 1250114 doi: 10.1142/S0218127412501143
[12]	Li Y X and Rinzel J 1994 J. Theor. Biol. 166 461 doi: 10.1006/jtbi.1994.1041
[13]	Toporikova N and Butera R J 2011 J. Comput. Neurosci. 30 515 doi: 10.1007/s10827-010-0274-z
[14]	Park C and Rubin J E 2013 J. Comput. Neurosci. 34 345 doi: 10.1007/s10827-012-0425-5
[15]	Dunmyre J R, Negro C A D and Rubin J E 2011 J. Comput. Neurosci. 31 305 doi: 10.1007/s10827-010-0311-y
[16]	Wang Y Y and Rubin J E 2016 J. Comput. Neurosci. 41 245 doi: 10.1007/s10827-016-0616-6
[17]	Lü Z S, Chen L N and Duan L X 2019 Appl. Math. Model. 67 234 doi: 10.1016/j.apm.2018.10.031
[18]	Li J J, Wu Y, Du M M and Liu W M 2015 Acta Phys. Sin. 64 030503(in Chinese)
[19]	Lv M and Ma J 2016 Neurocomputing 205 375 doi: 10.1016/j.neucom.2016.05.004
[20]	Lv M, Wang C N, Ren G D, Ma J and Song X L 2016 Nonlinear Dyn. 85 1479 doi: 10.1007/s11071-016-2773-6
[21]	Zhan F B and Liu S Q 2017 Front. Comput. Neurosci. 11 00107
[22]	Duan L X, Cao Q Y, Wang Z J and Su J Z 2018 Nonlinear Dyn. 94 1961 doi: 10.1007/s11071-018-4468-7
[23]	Cao B, Guan L N and Gu H G 2018 Acta Phys. Sin. 67 240502(in Chinese)
[24]	Ermentrout B 2002 Simulating, Analyzing, and Animating Dynamical Systems:a Guide to XPPAUT for Researchers and Students (1st edn.) (Philadelphia:SIAM)
[25]	Bao B C, Liu Z and Xu J P 2010 Electron. Lett. 46 228 doi: 10.1049/el.2010.3114
[26]	Muthuswamy B 2010 Int. J. Bifurcation and Chaos 20 1335 doi: 10.1142/S0218127410026514
[27]	Li Q D, Zeng H Z and Li J 2015 Nonlinear Dyn. 79 2295 doi: 10.1007/s11071-014-1812-4

Effect of magnetic flow and external forcing current on mixed bursting in the pre-Bötzinger complex

Effect of magnetic flow and external forcing current on mixed bursting in the pre-Bötzinger complex

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 27

相关文章 2

Metrics

本文评价

推荐阅读 0

[1]	王子剑, 段利霞, 曹秦禹. Multi-stability involved mixed bursting within the coupled pre-Bötzinger complex neurons[J]. 中国物理B, 2018, 27(7): 70502-070502.
[2]	王光义, 刘敬彪, 郑欣. Analysis and implementation of a new hyperchaotic system[J]. 中国物理B, 2007, 16(8): 2278-2284.