Grid cells, border cells, and discrete complex analysis.
border cells
discrete complex analysis
grid cells
hippocampo-cortical network
learning and memory
percolation
Journal
Frontiers in computational neuroscience
ISSN: 1662-5188
Titre abrégé: Front Comput Neurosci
Pays: Switzerland
ID NLM: 101477956
Informations de publication
Date de publication:
2023
2023
Historique:
received:
19
06
2023
accepted:
22
09
2023
medline:
26
10
2023
pubmed:
26
10
2023
entrez:
26
10
2023
Statut:
epublish
Résumé
We propose a mechanism enabling the appearance of border cells-neurons firing at the boundaries of the navigated enclosures. The approach is based on the recent discovery of discrete complex analysis on a triangular lattice, which allows constructing discrete epitomes of complex-analytic functions and making use of their inherent ability to attain maximal values at the boundaries of generic lattice domains. As it turns out, certain elements of the discrete-complex framework readily appear in the oscillatory models of grid cells. We demonstrate that these models can extend further, producing cells that increase their activity toward the frontiers of the navigated environments. We also construct a network model of neurons with border-bound firing that conforms with the oscillatory models.
Identifiants
pubmed: 37881247
doi: 10.3389/fncom.2023.1242300
pmc: PMC10595009
doi:
Types de publication
Journal Article
Langues
eng
Pagination
1242300Subventions
Organisme : NINDS NIH HHS
ID : R01 NS110806
Pays : United States
Commentaires et corrections
Type : UpdateOf
Informations de copyright
Copyright © 2023 Dabaghian.
Déclaration de conflit d'intérêts
The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Références
Trends Neurosci. 1996 Feb;19(2):54-61
pubmed: 8820868
Hippocampus. 2008;18(12):1270-82
pubmed: 19021262
Nature. 2013 Mar 14;495(7440):199-204
pubmed: 23395984
Hippocampus. 2006;16(9):785-94
pubmed: 16921501
Curr Opin Neurobiol. 2011 Oct;21(5):734-44
pubmed: 21820895
Neural Comput. 2013 Jul;25(7):1661-92
pubmed: 23607557
Hippocampus. 2008;18(12):1283-300
pubmed: 19021263
Nat Rev Neurosci. 2021 Oct;22(10):637-649
pubmed: 34453151
Behav Processes. 2017 Feb;135:113-131
pubmed: 28034697
Nature. 2021 Aug;596(7872):404-409
pubmed: 34381211
Hippocampus. 2008;18(12):1142-56
pubmed: 19021254
Front Psychol. 2015 Jul 15;6:925
pubmed: 26236245
Int J Neural Syst. 2019 Oct;29(8):1950012
pubmed: 31189391
Front Comput Neurosci. 2016 Mar 08;10:18
pubmed: 27014045
Neural Comput. 2019 Dec;31(12):2324-2347
pubmed: 31614108
Hippocampus. 2008;18(12):1301-13
pubmed: 19021264
Learn Mem. 2007 Nov 14;14(11):714-31
pubmed: 18007016
Hippocampus. 2006;16(12):1026-31
pubmed: 17094145
Elife. 2019 Dec 18;8:
pubmed: 31850846
Hippocampus. 2015 Dec;25(12):1489-500
pubmed: 25913890
PLoS Comput Biol. 2022 Mar 8;18(3):e1009925
pubmed: 35259159
J R Soc Interface. 2015 Jun 6;12(107):
pubmed: 25948611
Nat Neurosci. 2015 Apr;18(4):569-75
pubmed: 25730672
Nature. 2013 May 2;497(7447):74-9
pubmed: 23594744
PLoS Comput Biol. 2021 Mar 15;17(3):e1008013
pubmed: 33720935
Nat Neurosci. 2012 Oct;15(10):1445-53
pubmed: 22983210
Elife. 2021 Dec 31;10:
pubmed: 34970965
J Neurosci. 2009 Jun 10;29(23):7504-12
pubmed: 19515918
Neuron. 2021 Dec 15;109(24):4001-4017.e10
pubmed: 34715026
Nature. 2012 Aug 2;488(7409):E1-2; discussion E2-3
pubmed: 22859210
J Neurosci. 2006 Apr 19;26(16):4266-76
pubmed: 16624947
Nature. 2005 Aug 11;436(7052):801-6
pubmed: 15965463
Cold Spring Harb Symp Quant Biol. 2014;79:41-50
pubmed: 25752314
Nature. 1996 May 30;381(6581):425-8
pubmed: 8632799
Hippocampus. 2008;18(12):1213-29
pubmed: 19021258
Neural Comput. 2016 Jun;28(6):1051-71
pubmed: 27137840
Annu Rev Neurosci. 2008;31:69-89
pubmed: 18284371
Neuroscience. 2011 Dec 1;197:293-306
pubmed: 21963867
Hippocampus. 2008;18(12):1157-74
pubmed: 19021256
Science. 2008 Dec 19;322(5909):1865-8
pubmed: 19095945
PLoS Comput Biol. 2012;8(6):e1002553
pubmed: 22761557
Hippocampus. 2007;17(9):801-12
pubmed: 17598147
J Neurophysiol. 2010 Jul;104(1):35-50
pubmed: 20445029
Front Neurosci. 2011 Jun 30;5:85
pubmed: 21808603
Nat Neurosci. 2013 Jun;16(6):739-48
pubmed: 23603709
J Neurosci. 2003 May 1;23(9):3930-43
pubmed: 12736363
Nat Commun. 2018 Oct 2;9(1):4046
pubmed: 30279469
Neuron. 2000 Jul;27(1):169-78
pubmed: 10939340
Elife. 2015 Apr 24;4:
pubmed: 25910055
Front Comput Neurosci. 2021 Sep 22;15:739515
pubmed: 34630061
J Physiol. 2016 Nov 15;594(22):6489-6499
pubmed: 26969452
Nature. 2011 Jan 20;469(7330):397-401
pubmed: 21179088
J Neurosci. 2014 May 7;34(19):6459-69
pubmed: 24806672
Biol Cybern. 2000 Sep;83(3):301-12
pubmed: 11007303
Hippocampus. 2000;10(4):369-79
pubmed: 10985276
Neuron. 2011 Aug 25;71(4):589-603
pubmed: 21867877
Nat Neurosci. 2021 Nov;24(11):1567-1573
pubmed: 34381241
Nature. 2002 Nov 14;420(6912):173-8
pubmed: 12432392
Nat Neurosci. 2011 Aug 07;14(9):1182-8
pubmed: 21822271
Nat Neurosci. 2023 Jan;26(1):131-139
pubmed: 36581729
J Neurosci. 1996 Dec 15;16(24):8027-40
pubmed: 8987829
Nat Hum Behav. 2020 Feb;4(2):177-188
pubmed: 31740749
Trends Neurosci. 2014 Mar;37(3):136-45
pubmed: 24485517
Rev Neurosci. 2006;17(1-2):71-97
pubmed: 16703944
Elife. 2017 Jan 13;6:
pubmed: 28084992
Elife. 2018 Sep 14;7:
pubmed: 30215597
Nat Rev Neurosci. 2005 May;6(5):399-407
pubmed: 15861182
Trends Cogn Sci. 2010 Dec;14(12):561-9
pubmed: 20951631
PLoS Comput Biol. 2018 Aug 23;14(8):e1006291
pubmed: 30138312
J Neurosci. 2009 Aug 5;29(31):9771-7
pubmed: 19657030
Elife. 2014 Aug 20;3:e03476
pubmed: 25141375
J Neurosci. 1998 Sep 15;18(18):7411-25
pubmed: 9736661
Elife. 2015 Mar 30;4:
pubmed: 25821989
Hippocampus. 2008;18(12):1175-85
pubmed: 19021251
Front Comput Neurosci. 2017 Jul 18;11:65
pubmed: 28769779
Hippocampus. 2007;17(12):1252-71
pubmed: 17924530
J Physiol. 2016 Nov 15;594(22):6501-6511
pubmed: 26563618
Anim Cogn. 2012 May;15(3):359-68
pubmed: 21915695
Front Behav Neurosci. 2014 Jun 24;8:222
pubmed: 25009477
Eur J Neurosci. 2008 Oct;28(7):1301-15
pubmed: 18973557
Nat Neurosci. 2011 Sep 11;14(10):1330-7
pubmed: 21909090
Proc Natl Acad Sci U S A. 2012 Oct 23;109(43):17645-50
pubmed: 23047704
J Neurosci. 2007 Nov 7;27(45):12176-89
pubmed: 17989284
Nat Neurosci. 2009 Jul;12(7):913-8
pubmed: 19525943
Front Neurosci. 2021 Feb 01;15:580909
pubmed: 33633531
Front Comput Neurosci. 2011 Jan 19;5:1
pubmed: 21267396
PLoS One. 2013 Nov 08;8(11):e71959
pubmed: 24250780
Science. 2018 Mar 9;359(6380):1143-1146
pubmed: 29590044
Nat Neurosci. 2018 Jan;21(1):92-101
pubmed: 29230051
Curr Biol. 2018 Feb 19;28(4):609-615.e3
pubmed: 29398220
Neuron. 2005 Oct 20;48(2):168-9
pubmed: 16242397
Prog Neurobiol. 1998 Jun;55(3):225-56
pubmed: 9643555
Elife. 2021 Nov 03;10:
pubmed: 34730085
Neural Comput. 2023 Sep 8;35(10):1609-1626
pubmed: 37523457