A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia

The oscillatory nature of basal ganglia activity is highly tied with some movement disorders. We study, through bifurcation analysis and computer simulations, the appearance of abnormal oscillations in an already proposed reduced neural circuit model of the subthalamic nucleus and globus pallidus lo...

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Autores:
Hurtado López, Julián
Amador-Rodríguez, Andrés Felipe
Ramírez Moreno, David Fernando
Tipo de recurso:
Article of journal
Fecha de publicación:
2023
Institución:
Universidad Autónoma de Occidente
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RED: Repositorio Educativo Digital UAO
Idioma:
eng
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https://hdl.handle.net/10614/15542
https://red.uao.edu.co/
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network_name_str RED: Repositorio Educativo Digital UAO
repository_id_str
dc.title.eng.fl_str_mv A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia
title A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia
spellingShingle A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia
title_short A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia
title_full A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia
title_fullStr A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia
title_full_unstemmed A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia
title_sort A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia
dc.creator.fl_str_mv Hurtado López, Julián
Amador-Rodríguez, Andrés Felipe
Ramírez Moreno, David Fernando
dc.contributor.author.none.fl_str_mv Hurtado López, Julián
Amador-Rodríguez, Andrés Felipe
Ramírez Moreno, David Fernando
description The oscillatory nature of basal ganglia activity is highly tied with some movement disorders. We study, through bifurcation analysis and computer simulations, the appearance of abnormal oscillations in an already proposed reduced neural circuit model of the subthalamic nucleus and globus pallidus loop. The results show that the model exhibits stable steady states associated to normal activity and oscillatory activity corresponding to the often termed “tremor frequency” oscillations due to their coherence with parkinsonian tremor observed in patients with Parkinson’s disease
publishDate 2023
dc.date.issued.none.fl_str_mv 2023
dc.date.accessioned.none.fl_str_mv 2024-04-17T14:57:39Z
dc.date.available.none.fl_str_mv 2024-04-17T14:57:39Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.citation.spa.fl_str_mv Hurtado-López, J.; Amador-Rodríguez, A. F.; Ramírez-Moreno, D. F. (20232). A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia. Revista de la Unión Matemática Argentina. 64(2), pp. 397–412. https://doi.org/10.33044/revuma.2893
dc.identifier.issn.spa.fl_str_mv 0041-6932
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10614/15542
dc.identifier.doi.spa.fl_str_mv DOI: https://doi.org/10.33044/revuma.2893
dc.identifier.eissn.spa.fl_str_mv 1669-9637
dc.identifier.instname.spa.fl_str_mv Universidad Autónoma de Occidente
dc.identifier.reponame.spa.fl_str_mv Respositorio Educativo Digital UAO
dc.identifier.repourl.none.fl_str_mv https://red.uao.edu.co/
identifier_str_mv Hurtado-López, J.; Amador-Rodríguez, A. F.; Ramírez-Moreno, D. F. (20232). A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia. Revista de la Unión Matemática Argentina. 64(2), pp. 397–412. https://doi.org/10.33044/revuma.2893
0041-6932
DOI: https://doi.org/10.33044/revuma.2893
1669-9637
Universidad Autónoma de Occidente
Respositorio Educativo Digital UAO
url https://hdl.handle.net/10614/15542
https://red.uao.edu.co/
dc.language.iso.eng.fl_str_mv eng
language eng
dc.relation.citationendpage.none.fl_str_mv 412
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dc.relation.citationstartpage.none.fl_str_mv 397
dc.relation.citationvolume.none.fl_str_mv 64
dc.relation.ispartofjournal.spa.fl_str_mv Revista de la Unión Matemática Argentina
dc.relation.references.none.fl_str_mv [1] D. Belin and B. J. Everitt, Drug addiction: The neural and psychological basis of a compulsive incentive habit, in Handbook of Basal Ganglia Structure and Function, 571–592, Handbook of Behavioral Neuroscience, 20, Elsevier, 2010
[2] V. S. Chakravarthy and P. P. Balasubramani, Basal ganglia system as an engine for exploration, in Encyclopedia of Computational Neuroscience, 315–327, Springer New York, 2015, https://doi.org/10.1007/978-1-4614-7320-6 81-1
[3] V. S. Chakravarthy and P. P. Balasubramani, The basal ganglia system as an engine for exploration, in Computational Neuroscience Models of the Basal Ganglia, 59–96, Springer Singapore, 2018, https://doi.org/10.1007/978-981-10-8494-2 5.
[4] A. Dhooge, W. Govaerts, and Yu. A. Kuznetsov, MATCONT: a MATLAB package for numerical bifurcation analysis of ODEs, ACM Trans. Math. Software 29 (2003), no. 2, 141– 164. MR 2000880.
[5] J. Flores-Hern´andez, C. Cepeda, E. Hern´andez-Echeagaray, C. R. Calvert, E. S. Jokel, A. A. Fienberg, P. Greengard, and M. S. Levine, Dopamine enhancement of NMDA currents in dissociated medium-sized striatal neurons: Role of D1 receptors and DARPP-32, J. Neurophysiol. 88 (2002), no. 6, 3010–3020, PMID: 12466426, https://doi.org/10.1152/jn. 00361.2002.
[6] A. Galvan, A. Devergnas, and T. Wichmann, Alterations in neuronal activity in basal gangliathalamocortical circuits in the parkinsonian state, Front. Neuroanat. 9 (2015), 5, https: //doi.org/10.3389/fnana.2015.00005.
[7] A. Gillies, D. Willshaw, and Z. Li, Subthalamic pallidal interactions are critical in determining normal and abnormal functioning of the basal ganglia, Proc. R. Soc. Lond. B 269 (2002), 545–551, https://doi.org/10.1098/rspb.2001.1817.
[8] K. Gurney, T. J. Prescott, and P. Redgrave, A computational model of action selection in the basal ganglia. I. A new functional anatomy, Biol. Cybern. 84 (2001), no. 6, 401–410, https://doi.org/10.1007/PL00007984.
[9] K. Gurney, T. J. Prescott, and P. Redgrave, A computational model of action selection in the basal ganglia. II. Analysis and simulation of behaviour, Biol. Cybern. 84 (2001), no. 6, 411–423, https://doi.org/10.1007/PL00007985.
[10] E. J. Hwang, The basal ganglia, the ideal machinery for the cost-benefit analysis of action plans, Front. Neural Circuits 7 (2013), Art. 121, 6 pp. https://doi.org/10.3389/fncir.2013. 00121.
[11] E. M. Izhikevich, Neural excitability, spiking and bursting, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 10 (2000), no. 6, 1171–1266. MR 1779667.
[12] Y. A. Kuznetsov, Elements of Applied Bifurcation Theory, third edition, Applied Mathematical Sciences, 112, Springer-Verlag, New York, 2004. MR 2071006.
[13] R. Merrison-Hort, N. Yousif, F. Njap, U. G. Hofmann, O. Burylko, and R. Borisyuk, An interactive channel model of the basal ganglia: bifurcation analysis under healthy and Parkinsonian conditions, J. Math. Neurosci. 3 (2013), Art. 14, 29 pp. MR 3338740.
[14] A. J. Nevado Holgado, J. R. Terry, and R. Bogacz, Conditions for the generation of beta oscillations in the subthalamic nucleus–globus pallidus network, J. Neurosci. 30 (2010), no. 37, 12340–12352, https://doi.org/10.1523/JNEUROSCI.0817-10.2010.
[15] T. C. Whalen, A. M. Willard, J. E. Rubin, and A. H. Gittis, Delta oscillations are a robust biomarker of dopamine depletion severity and motor dysfunction in awake mice, J. Neurophysiol. 124 (2020), no. 2, 312–329, PMID: 32579421, https://doi.org/10.1152/jn.00158. 2020.
[16] Z. Yin, G. Zhu, B. Zhao, Y. Bai, Y. Jiang, W.-J. Neumann, A. A. K¨uhn, and J. Zhang, Local field potentials in Parkinson’s disease: A frequency-based review, Neurobiol. Dis. 155 (2021), 105372, 10 pp., https://doi.org/10.1016/j.nbd.2021.105372.
dc.rights.spa.fl_str_mv Derechos reservados - Unión Matemática Argentina, 2023
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spelling Hurtado López, Juliánvirtual::5335-1Amador-Rodríguez, Andrés FelipeRamírez Moreno, David Fernandovirtual::5336-12024-04-17T14:57:39Z2024-04-17T14:57:39Z2023Hurtado-López, J.; Amador-Rodríguez, A. F.; Ramírez-Moreno, D. F. (20232). A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia. Revista de la Unión Matemática Argentina. 64(2), pp. 397–412. https://doi.org/10.33044/revuma.28930041-6932https://hdl.handle.net/10614/15542DOI: https://doi.org/10.33044/revuma.28931669-9637Universidad Autónoma de OccidenteRespositorio Educativo Digital UAOhttps://red.uao.edu.co/The oscillatory nature of basal ganglia activity is highly tied with some movement disorders. We study, through bifurcation analysis and computer simulations, the appearance of abnormal oscillations in an already proposed reduced neural circuit model of the subthalamic nucleus and globus pallidus loop. The results show that the model exhibits stable steady states associated to normal activity and oscillatory activity corresponding to the often termed “tremor frequency” oscillations due to their coherence with parkinsonian tremor observed in patients with Parkinson’s disease16 páginasapplication/pdfengUnión Matemática ArgentinaArgentinaDerechos reservados - Unión Matemática Argentina, 2023https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)http://purl.org/coar/access_right/c_abf2A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal gangliaArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85412239764Revista de la Unión Matemática Argentina[1] D. Belin and B. J. Everitt, Drug addiction: The neural and psychological basis of a compulsive incentive habit, in Handbook of Basal Ganglia Structure and Function, 571–592, Handbook of Behavioral Neuroscience, 20, Elsevier, 2010[2] V. S. Chakravarthy and P. P. Balasubramani, Basal ganglia system as an engine for exploration, in Encyclopedia of Computational Neuroscience, 315–327, Springer New York, 2015, https://doi.org/10.1007/978-1-4614-7320-6 81-1[3] V. S. Chakravarthy and P. P. Balasubramani, The basal ganglia system as an engine for exploration, in Computational Neuroscience Models of the Basal Ganglia, 59–96, Springer Singapore, 2018, https://doi.org/10.1007/978-981-10-8494-2 5.[4] A. Dhooge, W. Govaerts, and Yu. A. Kuznetsov, MATCONT: a MATLAB package for numerical bifurcation analysis of ODEs, ACM Trans. Math. Software 29 (2003), no. 2, 141– 164. MR 2000880.[5] J. Flores-Hern´andez, C. Cepeda, E. Hern´andez-Echeagaray, C. R. Calvert, E. S. Jokel, A. A. Fienberg, P. Greengard, and M. S. Levine, Dopamine enhancement of NMDA currents in dissociated medium-sized striatal neurons: Role of D1 receptors and DARPP-32, J. Neurophysiol. 88 (2002), no. 6, 3010–3020, PMID: 12466426, https://doi.org/10.1152/jn. 00361.2002.[6] A. Galvan, A. Devergnas, and T. Wichmann, Alterations in neuronal activity in basal gangliathalamocortical circuits in the parkinsonian state, Front. Neuroanat. 9 (2015), 5, https: //doi.org/10.3389/fnana.2015.00005.[7] A. Gillies, D. Willshaw, and Z. Li, Subthalamic pallidal interactions are critical in determining normal and abnormal functioning of the basal ganglia, Proc. R. Soc. Lond. B 269 (2002), 545–551, https://doi.org/10.1098/rspb.2001.1817.[8] K. Gurney, T. J. Prescott, and P. Redgrave, A computational model of action selection in the basal ganglia. I. A new functional anatomy, Biol. Cybern. 84 (2001), no. 6, 401–410, https://doi.org/10.1007/PL00007984.[9] K. Gurney, T. J. Prescott, and P. Redgrave, A computational model of action selection in the basal ganglia. II. Analysis and simulation of behaviour, Biol. Cybern. 84 (2001), no. 6, 411–423, https://doi.org/10.1007/PL00007985.[10] E. J. Hwang, The basal ganglia, the ideal machinery for the cost-benefit analysis of action plans, Front. Neural Circuits 7 (2013), Art. 121, 6 pp. https://doi.org/10.3389/fncir.2013. 00121.[11] E. M. Izhikevich, Neural excitability, spiking and bursting, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 10 (2000), no. 6, 1171–1266. MR 1779667.[12] Y. A. Kuznetsov, Elements of Applied Bifurcation Theory, third edition, Applied Mathematical Sciences, 112, Springer-Verlag, New York, 2004. MR 2071006.[13] R. Merrison-Hort, N. Yousif, F. Njap, U. G. Hofmann, O. Burylko, and R. Borisyuk, An interactive channel model of the basal ganglia: bifurcation analysis under healthy and Parkinsonian conditions, J. Math. Neurosci. 3 (2013), Art. 14, 29 pp. MR 3338740.[14] A. J. Nevado Holgado, J. R. Terry, and R. Bogacz, Conditions for the generation of beta oscillations in the subthalamic nucleus–globus pallidus network, J. Neurosci. 30 (2010), no. 37, 12340–12352, https://doi.org/10.1523/JNEUROSCI.0817-10.2010.[15] T. C. Whalen, A. M. Willard, J. E. Rubin, and A. H. Gittis, Delta oscillations are a robust biomarker of dopamine depletion severity and motor dysfunction in awake mice, J. Neurophysiol. 124 (2020), no. 2, 312–329, PMID: 32579421, https://doi.org/10.1152/jn.00158. 2020.[16] Z. Yin, G. Zhu, B. Zhao, Y. Bai, Y. Jiang, W.-J. Neumann, A. A. K¨uhn, and J. Zhang, Local field potentials in Parkinson’s disease: A frequency-based review, Neurobiol. 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