Attractor and integrator networks in the brain — part 9/10

Cleaned-text code points [115341, 129522). Bibliography omitted here; source.md includes it.

[141] Am Pastor , La De Rr Cruz, and R Baker . Eye position and eye velocity integrators reside in
separate brainstem nuclei. Proc Natl Acad Sci U S A. , 91(2):807–11., Jan 18 1994.
[142] C. Cannon and D.A. Robinson. Loss of the neural integrator of the oculomotor system from
brain stem lesions in monkey . J Neurophys, 57(5):1383–1409, May 1987.
[143] P . Mettens, E. Godaux, G. Cheron, and H.L. Galiana. Effect of muscimol microinjections
into the prepositus hypoglossi and the medial vestibular nuclei on cat eye movements. J
Neurophysiol., 72(2):785–802, Aug 1994.
[144] Chris RS Kaneko. Eye movement deficits after ibotenic acid lesions of the nucleus prepositus
hypoglossi in monkeys. i. saccades and fixation. Journal of neurophysiology , 78(4):1753–
1768, 1997.
[145] Guy Major , Robert Baker , Emre Aksay , Brett Mensh, H Sebastian Seung, and David W T ank.
Plasticity and tuning by visual feedback of the stability of a neural integrator . Proc Natl
Acad Sci U S A , 101(20):7739–44, May 2004.
[146] Alexandro D.Ramirez Jeff W .Lichtman Emre R.F .Aksay H. SebastianSeung Ashwin Vish-
wanathan, Kayvon Daie. Electron microscopic reconstruction of functionally identified cells
in a neural integrator . Current Biology, 27(14):2137–2147, July 2017.
[147] Ashwin Vishwanathan, Alexandro Ramirez, Jingpeng Wu, Alex Sood, Runzhe Y ang, Nico
Kemnitz, Dodam Ih, Nicholas T urner , Kisuk Lee, Ignacio T artavull, et al. Predicting modular
functions and neural coding of behavior from a synaptic wiring diagram. bioRxiv, pages
2020–10, 2021.
[148] J S T aube. Head direction cells recorded in the anterior thalamic nuclei of freely moving
rats. J Neurosci, 15(1 Pt 1):70–86, Jan 1995.
[149] Ryan M Y oder and Jeffrey S T aube. The vestibular contribution to the head direction signal
and navigation. Front Integr Neurosci , 8:32, 2014.
[150] Ryan M Y oder , James R Peck, and Jeffrey S T aube. Visual landmark information gains con-
trol of the head direction signal at the lateral mammillary nuclei. J Neurosci, 35(4):1354–
67, Jan 2015.
[151] Brad K Hulse and Vivek Jayaraman. Mechanisms underlying the neural computation of
head direction. Annu Rev Neurosci , 43:31–54, 07 2020.
[152] Yvette E Fisher , Jenny Lu, Isabel D’Alessandro, and Rachel I Wilson. Sensorimotor experi-
ence remaps visual input to a heading-direction network. Nature, 576(7785):121–125, 12
2019.
[153] Sung Soo Kim, Ann M Hermundstad, Sandro Romani, L F Abbott, and Vivek Jayara-
man. Generation of stable heading representations in diverse visual scenes. Nature,
576(7785):126–131, 12 2019.
[154] Alexei Samsonovich and Bruce L. McNaughton. Path integration and cognitive mapping in
a continuous attractor neural network model. J Neurosci, 17:5900–5920, August 1997.
35

[155] Dora E Angelaki and Jean Laurens. The head direction cell network: attractor dynamics, in-
tegration within the navigation system, and three-dimensional properties. Current Opinion
in Neurobiology, 60:136–144, 2020.
[156] Sung Soo Kim, Hervé Rouault, Shaul Druckmann, and Vivek Jayaraman. Ring attractor
dynamics in the drosophila central brain. Science, 356(6340):849–853, 05 2017.
[157] Jonathan Green, Atsuko Adachi, Kunal K Shah, Jonathan D Hirokawa, Pablo S Magani, and
Gaby Maimon. A neural circuit architecture for angular integration in drosophila. Nature,
546(7656):101, 2017.
[158] Daniel B T urner-Evans, Kristopher T Jensen, Saba Ali, Tyler Paterson, Arlo Sheridan,
Robert P Ray , T anya Wolff, J Scott Lauritzen, Gerald M Rubin, Davi D Bock, and Vivek
Jayaraman. The neuroanatomical ultrastructure and function of a biological ring attractor .
Neuron, 108(1):145–163.e10, 10 2020.
[159] W E Skaggs, J J Knierim, H S Kudrimoti, and B L McNaughton. A model of the neural basis
of the rat’s sense of direction. Adv Neural Inf Process Syst , 7:173–80, 1995.
[160] Cheng Lyu, LF Abbott, and Gaby Maimon. A neuronal circuit for vector computation builds
an allocentric traveling-direction signal in the drosophila fan-shaped body . bioRxiv, 2020.
[161] Thomas Stone, Barbara Webb, Andrea Adden, Nicolai Ben Weddig, Anna Honkanen, Rachel
T emplin, William Wcislo, Luca Scimeca, Eric Warrant, and Stanley Heinze. An anatomically
constrained model for path integration in the bee brain. Current Biology , 27(20):3069–
3085, 2017.
[162] T . Hafting, M. Fyhn, S. Molden, M.-B. Moser , and E.I. Moser . Microstructure of a spatial
map in the entorhinal cortex. Nature, 436(7052):801–806, 2005.
[163] Ila R Fiete, Y oram Burak, and T ed Brookings. What grid cells convey about rat location. J
Neurosci, 28(27):6858–71, Jul 2008.
[164] Y oram Burak and Ila Fiete. Do we understand the emergent dynamics of grid cell activity?
J Neurosci, 26(37):9352–9354, 2006.
[165] Alexis Guanella, Daniel Kiper , and Paul V erschure. A model of grid cells based on a twisted
torus topology . Int. J. Neural Syst. , 17(4):231–240, August 2007.
[166] Marianne Fyhn, T orkel Hafting, Alessandro Treves, May-Britt Moser , and Edvard I
Moser . Hippocampal remapping and grid realignment in entorhinal cortex. Nature,
446(7132):190–194, 2007.
[167] KiJung Y oon, Sam Lewallen, Amina A Kinkhabwala, David W T ank, and Ila R Fiete. Grid cell
responses in 1d environments assessed as slices through a 2d lattice. Neuron, 89(5):1086–
99, Mar 2016.
[168] E. Kropff and A. Treves. The emergence of grid cells: intelligent design or just adaptation?
Hippocampus, 18(12), 2008.
[169] Y edidyah Dordek, Daniel Soudry , Ron Meir , and Dori Derdikman. Extracting grid cell char-
acteristics from place cell inputs using non-negative principal component analysis. Elife,
5:e10094, Mar 2016.
36

[170] Kimberly L Stachenfeld, Matthew M Botvinick, and Samuel J Gershman. The hippocampus
as a predictive map. Nat Neurosci, 20(11):1643–1653, Nov 2017.
[171] Caswell Barry , Robin Hayman, Neil Burgess, and Kathryn J Jeffery . Experience-dependent
rescaling of entorhinal grids. Nat Neurosci, 10(6):682–684, 2007.
[172] Julija Krupic, Marius Bauza, Stephen Burton, Caswell Barry , and John O’Keefe. Grid cell
symmetry is shaped by environmental geometry . Nature, 518(7538):232–235, Feb 2015.
[173] Robin M A Hayman, Giulio Casali, Jonathan J Wilson, and Kate J Jeffery . Grid cells on
steeply sloping terrain: evidence for planar rather than volumetric encoding. Front Psychol,
6:925, 2015.
[174] Charlotte N Boccara, Michele Nardin, Federico Stella, Joseph O’Neill, and Jozsef Csicsvari.
The entorhinal cognitive map is attracted to goals. Science, 363(6434):1443–1447, 2019.
[175] Gily Ginosar , Johnatan Aljadeff, Y oram Burak, Haim Sompolinsky , Liora Las, and Nachum
Ulanovsky . Locally ordered representation of 3d space in the entorhinal cortex. Nature,
596(7872):404–409, Aug 2021.
[176] Roddy M Grieves, Selim Jedidi-Ayoub, Karyna Mishchanchuk, Anyi Liu, Sophie Re-
naudineau, Éléonore Duvelle, and Kate J Jeffery . Irregular distribution of grid cell firing
fields in rats exploring a 3d volumetric space. Nat Neurosci, Aug 2021.
[177] Peter E Welinder , Y oram Burak, and Ila R Fiete. Grid cells: the position code, neural network
models of activity , and the problem of learning. Hippocampus, 18(12):1283–1300, 2008.
[178] John Widloski and Ila R Fiete. A model of grid cell development through spatial exploration
and spike time-dependent plasticity . Neuron, 83(2):481–495, Jul 2014.
[179] Kiah Hardcastle, Surya Ganguli, and Lisa M Giocomo. Environmental boundaries as an
error correction mechanism for grid cells. Neuron, 86(3):827–39, May 2015.
[180] Yi Gu, Sam Lewallen, Amina A Kinkhabwala, Cristina Domnisoru, Kijung Y oon, Jeffrey L
Gauthier , Ila R Fiete, and David W T ank. A map-like micro-organization of grid cells in the
medial entorhinal cortex. Cell, 175(3):736–750.e30, 10 2018.
[181] William N Butler , Kiah Hardcastle, and Lisa M Giocomo. Remembered reward locations
restructure entorhinal spatial maps. Science, 363(6434):1447–1452, 2019.
[182] J W Gnadt and R A Andersen. Memory related motor planning activity in posterior parietal
cortex of macaque. Exp Brain Res , 70(1):216–20, 1988.
[183] C Constantinidis, M N Franowicz, and P S Goldman-Rakic. Coding specificity in corti-
cal microcircuits: a multiple-electrode analysis of primate prefrontal cortex. J Neurosci ,
21(10):3646–55, May 2001.
[184] Eugene M Izhikevich. Dynamical systems in neuroscience . MIT press, 2007.
[185] Peter Ashwin, Stephen Coombes, and Rachel Nicks. Mathematical frameworks for oscilla-
tory network dynamics in neuroscience. The Journal of Mathematical Neuroscience , 6(1):1–
92, 2016.
37

[186] Antoine R Adamantidis, Carolina Gutierrez Herrera, and Thomas C Gent. Oscillating cir-
cuitries in the sleeping brain. Nature Reviews Neuroscience , 20(12):746–762, 2019.
[187] Britton A Sauerbrei, Jian-Zhong Guo, Jeremy D Cohen, Matteo Mischiati, Wendy Guo,
Mayank Kabra, Nakul V erma, Brett Mensh, Kristin Branson, and Adam W Hantman. Cortical
pattern generation during dexterous movement is input-driven. Nature, 577(7790):386–
391, 2020.
[188] Angela M Bruno, William N Frost, and Mark D Humphries. A spiral attractor network drives
rhythmic locomotion. Elife, 6, 08 2017.
[189] Annika LA Nichols, T omáš Eichler , Richard Latham, and Manuel Zimmer . A global brain
state underlies c. elegans sleep behavior . Science, 356(6344):eaam6851, 2017.
[190] Dirk Bucher , Gal Haspel, Jorge Golowasch, and Farzan Nadim. Central pattern generators.
eLS, pages 1–12, 2015.
[191] Eve Marder and Dirk Bucher . Central pattern generators and the control of rhythmic move-
ments. Current biology, 11(23):R986–R996, 2001.
[192] Eve Marder and Ronald L Calabrese. Principles of rhythmic motor pattern generation.
Physiological reviews, 76(3):687–717, 1996.
[193] Martyn Goulding. Circuits controlling vertebrate locomotion: moving in a new direction.
Nature Reviews Neuroscience , 10(7):507–518, 2009.
[194] Ole Kiehn. Decoding the organization of spinal circuits that control locomotion. Nature
Reviews Neuroscience, 17(4):224, 2016.
[195] Rafael Yuste, Jason N MacLean, Jeffrey Smith, and Anders Lansner . The cortex as a central
pattern generator . Nature Reviews Neuroscience , 6(6):477–483, 2005.
[196] David H Hubel and T orsten N Wiesel. Receptive fields of single neurones in the cat’s striate
cortex. The Journal of physiology , 148(3):574–591, 1959.
[197] R von der Heydt, E Peterhans, and G Baumgartner . Illusory contours and cortical neuron
responses. Science, 224(4654):1260–2, Jun 1984.
[198] D H Grosof, R M Shapley , and M J Hawken. Macaque v1 neurons can signal ’illusory’
contours. Nature, 365(6446):550–2, Oct 1993.
[199] Amiram Grinvald, Edmund Lieke, Ron D Frostig, Charles D Gilbert, and T orsten N Wiesel.
Functional architecture of cortex revealed by optical imaging of intrinsic signals. Nature,
324(6095):361–364, 1986.
[200] Weishun Zhong, Zhiyue Lu, David J Schwab, and Arvind Murugan. Non-equilibrium statis-
tical mechanics of continuous attractors. Neural Computation, in press , 2020.
[201] Chi Chung Alan Fung, T omoki Fukai, et al. Discrete-attractor-like tracking in continuous
attractor neural networks. Physical review letters , 122(1):018102, 2019.
[202] S Thorpe, D Fize, and C Marlot. Speed of processing in the human visual system. Nature,
381(6582):520–2, Jun 6 1996.
38

[203] David Ferster , Sooyoung Chung, and Heidi Wheat. Orientation selectivity of thalamic input
to simple cells of cat visual cortex. Nature, 380(6571):249–252, 1996.
[204] Guillaume Hennequin, Y ashar Ahmadian, Daniel B Rubin, Máté Lengyel, and Kenneth D
Miller . The dynamical regime of sensory cortex: Stable dynamics around a single stimulus-
tuned attractor account for patterns of noise variability . Neuron, 98(4):846–860.e5, 05
2018.
[205] J O’Keefe and J Dostrovsky . The hippocampus as a spatial map. preliminary evidence from
unit activity in the freely-moving rat. Brain Res, 34(1):171–175, 1971.
[206] G J Quirk, R U Muller , and J L Kubie. The firing of hippocampal place cells in the dark
depends on the rat’s recent experience. J Neurosci, 10(6):2008–2017, 1990.
[207] Matthew A Wilson and Bruce L McNaughton. Reactivation of hippocampal ensemble mem-
ories during sleep. Science, 265(5172):676–679, 1994.
[208] W E Skaggs and B L McNaughton. Replay of neuronal firing sequences in rat hippocampus
during sleep following spatial experience. Science, 271(5257):1870–3, Mar 1996.
[209] Misha Tsodyks and T errence Sejnowski. Associative memory and hippocampal place cells.
International journal of neural systems , 6:81–86, 1995.
[210] Haggai Agmon and Y oram Burak. A theory of joint attractor dynamics in the hippocam-
pus and the entorhinal cortex accounts for artificial remapping and grid cell field-to-field
variability .Elife, 9:e56894, 2020.
[211] A Samsonovich and B L McNaughton. Path integration and cognitive mapping in a contin-
uous attractor neural network model. J Neurosci, 17(15):5900–5920, 1997.
[212] Alexei Vladimir Samsonovich. Attractor map theory of the hippocampal representation of
space. PhD thesis, The University of Arizona., 1997.
[213] Aldo Battista and Rémi Monasson. Capacity-resolution trade-off in the optimal learning of
multiple low-dimensional manifolds by attractor neural networks. Physical Review Letters ,
124(4):048302, 2020.
[214] Man Yi Yim, Lorenzo A Sadun, Ila R Fiete, and Thibaud T aillefumier . Place-cell capacity
and volatility with grid-like inputs. Elife, 10:e62702, 2021.
[215] Laura Lee Colgin, Edvard I Moser , and May-Britt Moser . Understanding memory through
hippocampal remapping. Trends in neurosciences, 31(9):469–477, 2008.
[216] Charlotte B Alme, Chenglin Miao, Karel Jezek, Alessandro Treves, Edvard I Moser , and May-
Britt Moser . Place cells in the hippocampus: eleven maps for eleven rooms. Proceedings of
the National Academy of Sciences , 111(52):18428–18435, 2014.
[217] Trygve Solstad, Edvard I Moser , and Gaute T Einevoll. From grid cells to place cells: a
mathematical model. Hippocampus, 16(12):1026–1031, 2006.
[218] Caswell Barry , Colin Lever , Robin Hayman, T om Hartley , Stephen Burton, John O’Keefe,
Kate Jeffery , and N Burgess. The boundary vector cell model of place cell firing and spatial
memory .Reviews in the Neurosciences , 17(1-2):71–98, 2006.
39