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1 nt through space or self-generated movement (path integration).
2 cues (landmark navigation) or internal cues (path integration).
3 s a "look-up" table for the correct speed of path integration.
4 been proposed to represent a neural code for path integration.
5 mechanism to facilitate the correct speed of path integration.
6 ltiple scales, which perform linear velocity path integration.
7 se self-motion to estimate positions through path integration.
8 tioning task in which navigation depended on path integration.
9 rategies: the following of landmark cues and path integration.
10 general class of systems that performs exact path integration.
11 ystem, are thought to underlie navigation by path integration.
12 3 forms of navigation: beacon, landmark, and path integration.
13  fundamental role in landmark navigation and path integration.
14  and entorhinal cortex are not essential for path integration.
15 ers being discriminable only on the basis of path integration.
16  a rate proportional to velocity, to achieve path integration.
17 e hippocampus, thereby facilitating accurate path integration.
18 idance by landmarks may override guidance by path integration.
19 rics derived from movement is referred to as path integration.
20 el environment, a process thought to require path integration.
21 ion representation must have been updated by path integration.
22 and accurately updating their values through path integration.
23 ates of head direction (HD) based on angular path integration.
24  and active movement, which is suggestive of path integration.
25 art of a two-dimensional attractor guided by path integration.
26 duce the accumulated error of grid cells for path integration.
27 ed with accurate position reconstruction and path integration.
28 hey move away from it, in a process known as path integration.
29 an the self-location memory achieved through path integration.
30 dvance investigations of the neural basis of path integration.
31  elucidate fundamental mechanisms underlying path integration.
32 ode used in various computational models for path integration.
33 for future studies to image the brain during path integration.
34 terns as the neurophysiological substrate of path integration.
35 tarvation state, and exhibit key features of path integration.
36 lar track, creating continuous conflict with path integration.
37  input to an existing neural model of insect path integration.
38 complex of a bee has inspired a new model of path integration.
39 uld be important for error correction during path integration.
40 captured in any previously proposed model of path integration.
41 eir spatial relationships to each other, and path integration.
42  in which grid cells could function in human path integration.
43 tal cortex, were recruited during successful path integration.
44  using a combination of visual landmarks and path integration.
45 iple redundant directions for the purpose of path integration.
46 l region have been proposed to contribute to path integration.
47 hippocampal-entorhinal network contribute to path integration.
48  of entorhinal grid cells and the process of path integration.
49  numerous confounding variables when testing path integration.
50 ual cue-driven place learning and idiothetic path integration [1-4], the depth and flexibility of Dro
51 grid cells is also ideally suited to support path integration.(11)(,)(12)(,)(13)(,)(14)(,)(15)(,)(16)
52      A continuous attractor network model of path integration(14) augmented with a Hebbian-like learn
53 nce estimation, supporting the MEC's role in path integration.(18) However, few studies have examined
54                       They rely primarily on path integration [3] for navigation and, in addition, us
55                              They do this by path integration, a common navigational process in which
56 or attractor dynamic mechanisms that perform path integration, a computation requiring information ab
57                                              Path integration abilities vary widely across individual
58 ric (world-centered) spatial codes driven by path integration accumulate error unless reset by enviro
59                                           As path integration accumulates errors, it cannot be relied
60 o successfully learn two different speeds of path integration across two different axonal conduction
61 cks of being complex to construct and rigid, path integration allowing for no deviations from the hex
62 e caudal entorhinal cortex may contribute to path integration and basic allocentric spatial processin
63 ing attractor" performs near-optimal angular path integration and evidence accumulation.
64                 Thus, when mismatches occur, path integration and external cues interact competitivel
65                  The convergence of internal path integration and external sensory landmarks generate
66     These results are relevant for models of path integration and for our understanding of how behavi
67 are responsive to the same cues that support path integration and landmark navigation.
68 TN and ADN contribute to navigation based on path integration and landmarks, disruption of the head d
69 antitatively matched by a unified theory for path integration and noise in multi-bump networks.
70 ve as landmarks, motivating a model in which path integration and odor landmarks interact sequentiall
71 been made in clarifying the relation between path integration and other navigational strategies.
72  entorhinal cortex (cMEC) is specialized for path integration and spatial navigation.
73 ese cells, we propose a complete circuit for path integration and steering in the central complex, wi
74 itially, by navigational strategies, such as path integration and the ant's innate responses to landm
75 Here, we forge a link between the problem of path integration and the existence of hexagonal grids, b
76 STd) tracked latent variables, demonstrating path integration and vector coding of hidden spatial goa
77 revious models of sensory-guided navigation, path integration and vector memory.
78 mating self-location as a compromise between path-integration and environmental information.
79 gnals are sufficient for animal navigation ("path integration") and for updating hippocampal location
80  (i) the distance and angle travelled (i.e., path integration) and (ii) the distance and angle to a m
81 g self-motion cues (sometimes referred to as path integration), and it has been suggested that the hi
82 mediated by at least 3 mechanisms: guidance, path integration, and landmark learning.
83 tic cues to fine-tune the neural dynamics of path integration, and that this recalibration process do
84 nest after far-reaching foraging trips using path integration, and whenever available, learn and memo
85  that landmark-based orientation and angular path integration are combined in the population response
86 fficient for computing a homing vector using path integration are located outside the hippocampus.
87 vealed error correction capable of resetting path integration at subsecond timescales.
88 computational models of grid cell firing use path integration based on movement direction and the ass
89    Ubiquitous throughout the animal kingdom, path integration-based navigation allows an animal to ta
90  circuit as a potential neural substrate for path integration-based spatial navigation.
91 terned locations and are proposed to support path-integration-based navigation.
92                                         This path-integration behavior may represent a deeply conserv
93 ested that combining sensory information and path integration best explains the experimental sharpeni
94  place cells and grid cells as important for path integration, but underlying models of path integrat
95 odels and found that flies likely accomplish path integration by combining odometry and compass navig
96  is proposed for how the brain might perform path integration by computing the next internal represen
97 ion as spatial anchoring signals for precise path integration by grid cells.
98 rd type of guidance is based on a process of path integration by which an insect monitors its distanc
99 ially periodic responses and the capacity of path integration can arise through synaptic plasticity,
100 ebees, we reveal that vectors learned during path integration can be transferred to long-term memory,
101 tion complex (hMT+) covaried with individual path integration capability.
102 errors into distinct causes that can corrupt path integration computations.
103 nce indicates that angular and translational path integration contributes to the firing of head direc
104  a neural circuit first proposed to underlie path integration could be adapted to decoding the dance
105 allocentric encoding of location provided by path integration creates a spatially stable anchor for c
106                    Our findings suggest that path integration deficits, specifically memory leak, may
107 iative fear conditioning, operant avoidance, path integration, discrimination, and spatial navigation
108 d posterior parietal cortex, are involved in path integration during navigation.
109 e findings shed light on the contributors to path integration error and the mechanisms underlying age
110 miliar environment and show that patterns of path integration error are predicted qualitatively by a
111  participants exhibited significantly higher path integration error, primarily driven by increased me
112  a Bayesian computational model to decompose path integration errors into distinct components.
113                                              Path integration errors were negatively correlated with
114                       The specific causes of path integration errors, however, remain poorly characte
115  Our network model is able to perform robust path integration even when the recurrent connections are
116                              This asymmetric path-integration finding in human visual space perceptio
117 e newly discovered speed neurons can support path integration for the holonomic motion (i.e., a groun
118 tanding of body-based contributions to human path integration, further suggesting the value of vector
119   Here, we demonstrate both recalibration of path integration gain and systematic control of place fi
120 f specific Fourier components coupled with a path integration gain reduction, which raises the overal
121 a process that relies on a finely calibrated path integration gain that relates movement in physical
122 id cells based on path integration treat the path-integration gain as a constant(9-14), but behaviour
123 e from rat hippocampal place cells, that the path-integration gain is a highly plastic variable that
124 edictable and prolonged recalibration of the path-integration gain, as estimated from the place cells
125 owever, the necessity of the hippocampus for path integration has not been clearly established.
126                      Although many models of path integration have been proposed, no known single the
127            Ring attractor models for angular path integration have received strong experimental suppo
128 l, crabs combine information from vision and path integration in an unusual manner.
129 interoceptive influences on action (in which path integration in darkness must rely solely on interoc
130 nings of landmark-based recalibration during path integration in freely moving male and female humans
131 r path integration, but underlying models of path integration in humans have rarely been studied.
132  asymmetries between horizontal and vertical path integration in humans.
133 The most notable advance in our knowledge of path integration in insects is a new understanding of ho
134                      The neural substrate of path integration in mammals may exist in grid cells, whi
135 cues that could be used to correct errors in path integration in mouse medial entorhinal cortex (MEC)
136 e for spatial localisation in general or for path integration in particular.
137           We carried out parallel studies of path integration in patients with medial temporal lobe l
138 humans is the study of spatial navigation by path integration in rodents.
139       Hippocampal and control rats both used path integration in solving these tasks and did not diff
140 t grid cells in mice cannot perform accurate path integration in the absence of reliable visual cues.
141 nals, on their own, fail to support accurate path integration in the absence of sustained acceleratio
142  to single trial runs in virtual reality and path integration in the dark, and the alignment of the r
143 the hippocampal formation performs a form of path integration in updating place cell firing; however,
144  perturbing PFNd neurons disrupts idiothetic path integration in walking flies(7).
145 this behavior is best explained by a form of path integration in which the flies use idiothetic cues
146 f of the place cells conformed to a model of path integration in which the presence of visual cues at
147 ack of where they are on a foraging trip is 'path integration', in which they continuously update a '
148 rticular the evidence against a map based on path integration, in which view-based and path integrati
149 ex, and parahippocampal cortex in support of path integration, including a homing vector system that
150 tractor network in dMEC may be the source of path integration information afferent to hippocampus.
151 from the lateral entorhinal cortex (LEC) and path integration information from the medial entorhinal
152 ntis shrimp, Neogonodactylus oerstedii, uses path integration informed by a hierarchical reliance on
153                                              Path integration is a robust mechanism that many animals
154                                              Path integration is a sensorimotor computation that can
155                                              Path integration is a widespread navigational strategy i
156    In simulations, we show that the speed of path integration is not significantly affected by degrad
157 epresentations of location, and suggest that path integration is performed by integrating displacemen
158                               Whereas animal path integration is predominantly supported by the head-
159                                              Path integration is presumed to rely on self-motion cues
160 tudy provides the first evidence that visual path integration is related to the dynamic interplay of
161 frames selectively enhances performance when path integration is required.
162 te that distance estimation by humans during path integration is sensitive to geometric deformations
163             This behavioral demonstration of path integration is supported by the discovery of place
164                                              Path integration is the continual updating of position a
165 processing in the MEC.SIGNIFICANCE STATEMENT Path integration is the most basic form of navigation re
166                        On unfamiliar ground, path integration is the only available means of navigati
167                                              Path integration is thought to rely on vestibular and pr
168  that grid cell odometry (and by implication path integration) is impaired or absent in the vertical
169 refully studied return to target areas using path integration, landmark recognition, compass orientat
170 two environments, to test how differences in path integration may affect grid cell firing.
171 for central complex connectivity, from which path integration may have evolved.
172 ei might constitute the postulated attractor-path integration mechanism, and that they provide the HD
173                                          The path-integration mechanism responsible for this can util
174   These results enhance our understanding of path integration mechanisms and the role of the MSDB for
175 t, thereby requiring participants to rely on path integration mechanisms for successful navigation.
176                                   When using path integration mechanisms in first person and third pe
177  stable HD cell representation maintained by path integration mechanisms when the rat walked between
178  and the overlying neocortex are involved in path integration mechanisms, which enable an animal to m
179 on path integration, in which view-based and path integration memories might be combined.
180 )(,)(17)(,)(18) We investigate the nature of path integration memory by anesthetizing ants after they
181 -dependent molecular process as the basis of path integration memory.
182   Our theory subsumes several existing exact path integration models as special cases.
183 the weights of downstream targets, including path integration networks.
184 In this paper we propose a model of velocity path integration of head direction in which the natural
185 ction cell system learns to perform accurate path integration of head direction.
186                         This is known as the path integration of head direction.
187  performed in darkness is thought to reflect path integration of motion-related information.
188 t that these cells rely, in part, on angular path integration of the rat's head movements.
189 hile keeping angle constant to determine how path integration operated over both shorter and longer d
190 ts from some internal dynamic process (e.g., path integration or "momentum") and is not a result of m
191 stem either performs highly precise internal path integration or implements an external landmark-base
192 r cortex suggests that it may play a role in path integration or navigational motor planning.
193                No complex mechanisms such as path-integration or a careful evaluation of gradients ar
194 the cognitive map to enable recalibration of path integration, or if polarizing position information
195 memory of the barrier location combined with path integration, or the firing may depend upon the appa
196                 Here we investigated whether path integration performance and the activity of grid ce
197                   In this study, we examined path integration performance in individuals with subject
198                    Here, we combine tests of path integration performance in participants of differen
199                                              Path-integration performance correlated with Alzheimer's
200  form of dead reckoning [1] [2] [3] known as path integration (PI) [4].
201                                              Path integration (PI) is impaired early in Alzheimer's d
202 f human EC in left or right hemisphere under path integration (PI) tasks of sensory-driven and abstra
203 and a sun-based compass to provide input for path integration (PI).
204                                              Path integration, place cells, and head direction cells
205                                              Path integration plays a vital role in navigation: it en
206 ance for finding unexpected solutions to the path integration problem.
207 le completion paradigm to test whether human path integration recruits a cortical system similar to t
208                                              Path integration refers to the use of self-movement cues
209                                Navigating by path integration requires continuously estimating one's
210                      Our model predicts that path integration requires self-supervised learning durin
211                                              Path integration requires that the brain use the speed a
212                The latter mechanism-known as path integration-requires a finely tuned gain factor tha
213 n that endogenous landmarks transiently slow path integration, reset the dynamics and thereby reduce
214                      The recursive nature of path integration results in accumulating error and, with
215  led to the suggestion that they represent a path integration signal, tracking the organism's positio
216 sed on both environmental sensory inputs and path integration signals.
217 d on a task where animals demonstrably use a path integration strategy.
218 ion of this moonlight pattern into the ants' path integration system throughout the night for homing,
219     Although both cell types are part of the path integration system, the dynamic relationship betwee
220  a signal to correct cumulative error in the path-integration system(4,8,16-19), but also rapidly fin
221 omotor speed encoding likely severely impact path integration systems in dementia.
222                                          The path integration task demonstrated higher diagnostic sen
223  virtual environment, and then performed the path integration task entirely in darkness.
224          Here, we used a naturalistic visual path integration task that combines continuous action wi
225 lume, and the classification accuracy of the path integration task was compared with a battery of cog
226 pants undertook an immersive virtual reality path integration test, as a measure of entorhinal-based
227 an off a longer portion of their vector from path integration than did experienced ants.
228  show that this is consistent with models of path integration that maintain the memory in a redundant
229 support the notion that rats can navigate by path integration, that this ability depends on head dire
230                                              Path integration, the ability to maintain a representati
231                                              Path integration, the ability to sense self-motion for k
232                                              Path integration, the ability to track one's position us
233 e role of place cells in error reduction for path integration, the animal's position estimates were d
234 eviously developed configural model of human path integration, the Encoding-Error model.
235 conclude that, rather than representing pure path integration, the firing of head-direction cells and
236 by learning look-up tables for each speed of path integration, the model should exhibit a degree of r
237                                              Path integration, the updating of position and orientati
238                                              Path integration then becomes a back-up strategy that is
239 f grid cells support distance estimation and path integration, then disruption of the grid regularity
240                     We argue that the use of path integration to perform a centered local search is n
241           Our results suggest that flies use path integration to remember the location of a food site
242 n to distance information (a process called 'path integration') to maintain our spatial orientation d
243 ise behaviour, based on the internal cues of path integration, to facilitate the learning of visual l
244     The allocentric reference frame given by path integration transforms a goal direction into a goal
245 ace cells and entorhinal grid cells based on path integration treat the path-integration gain as a co
246                                    Models of path integration use medial septum/diagonal band of Broc
247 ol dynamics (velocity/acceleration) on human path integration using a novel motion-cueing algorithm.
248                              Insects rely on path integration (vector-based navigation) and landmark
249 rials performed under lighted conditions and path integration was tested under darkened conditions, t
250 to return to a home location without vision (path integration), we found a robust correlation between
251 unsupervised learning of visual features for path integration; we demonstrate the viability of this c
252  island cells may contribute more to spatial path integration, whereas ocean cells may facilitate con
253 lar, we investigate a homing vector model of path integration, whereby a navigator continuously track
254 recting attention to homing vector models of path integration, which differ from current movement-tra
255 r animals stay spatially oriented is through path integration, which operates by integrating self-mot
256 potential homing vector mechanism supporting path integration, which recruits hippocampus and retrosp
257 to optimally combine location estimates from path integration with those from sensory input.

 
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