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

doi:10.1088/1674-1056/ab43b9

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.

Keywords: pre-Bötzinger complex mixed bursting magnetic flow dynamical analysis

Received: 18 June 2019
Revised: 23 August 2019
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Xt	(Synchronization; coupled oscillators)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11772069 and 11872003).

Corresponding Authors: Zhuo-Sheng Lü
E-mail: lvzhsh@amss.ac.cn

Cite this article:

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 2019 Chin. Phys. B 28 110501

[1]	Smith J C, Ellenberger H H, Ballanyi K, Richter D W and Feldman J L 1991 Science 254 726
[2]	Feldman J L, Negro C A D and Gray P A 2013 Annu. Rev. Physiol. 75 423
[3]	Kam K, Worrell J W, Janczewski W A, Cui Y and Feldman J L 2013 J. Neurosci. 33 9235
[4]	Lieske S P, Thoby-Brisson M, Telgkamp P and Ramirez J M 2000 Nat. Neurosci. 3 600
[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
[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
[8]	Butera R J, Rinzel J and Smith J C 1999 J. Neurophysiol. 82 382
[9]	Butera R J, Rinzel J and Smith J C 1999 J. Neurophysiol. 82 398
[10]	Best J, Borisyuk A, Rubin J, Terman D and Wechselberger M 2005 SIAM J. Appl. Dyn. Syst. 4 1107
[11]	Duan L X, Zhai D H and Tang X H 2012 Int. J. Bifurcation and Chaos 22 1250114
[12]	Li Y X and Rinzel J 1994 J. Theor. Biol. 166 461
[13]	Toporikova N and Butera R J 2011 J. Comput. Neurosci. 30 515
[14]	Park C and Rubin J E 2013 J. Comput. Neurosci. 34 345
[15]	Dunmyre J R, Negro C A D and Rubin J E 2011 J. Comput. Neurosci. 31 305
[16]	Wang Y Y and Rubin J E 2016 J. Comput. Neurosci. 41 245
[17]	Lü Z S, Chen L N and Duan L X 2019 Appl. Math. Model. 67 234
[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
[20]	Lv M, Wang C N, Ren G D, Ma J and Song X L 2016 Nonlinear Dyn. 85 1479
[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
[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
[26]	Muthuswamy B 2010 Int. J. Bifurcation and Chaos 20 1335
[27]	Li Q D, Zeng H Z and Li J 2015 Nonlinear Dyn. 79 2295

[1]	Multi-stability involved mixed bursting within the coupled pre-Bötzinger complex neurons Zijian Wang(王子剑), Lixia Duan(段利霞), Qinyu Cao(曹秦禹). Chin. Phys. B, 2018, 27(7): 070502.
[2]	Analysis and implementation of a new hyperchaotic system Wang Guang-Yi(王光义),Liu Jing-Biao(刘敬彪), and Zheng Xin(郑欣). Chin. Phys. B, 2007, 16(8): 2278-2284.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

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

Cite this article:

Online attention