Transcript Slide 1

Topological organization of the
information coding in hippocampus
Yuri Dabaghian
Frank Lab
Sloan Swartz Centers for Integrative Neuroscience
UCSF
Hippocampus and space coding
Hippocampal damage results in:
• Navigational difficulties in hippocampal (e.g. Alzheimer’s)
patients
• Inability to imagine space for hippocampal patients (Hassabi,
2007)
• Lesion experiments in rats: bad performance in Morris maze
test, sequential goal tasks
Electrophysiology: place fields
What is the nature of spatial coding in
the hippocampus?
Adjacency maps? Spatial Scales? Distances? Directions?
What information about space can be extracted
from hippocampal spikes?
Global topology of the space
…topology, compatible
with many geometries.
Topological coding hypothesis
• The existing experimental evidence is consistent with the
hypothesis that the hippocampus codes for the topological
arrangement of memory elements, which are invariant with
respect to slow, topologically consistent variations of the
environment
Spatial memory
Relational learning
Episodic memory
Space coding
Spikes code for local topological
relationships:
Only a few (e.g. 5) fundamental
relationships are needed to describe
a space
and to build a space
What does it take to describe a space based on
spikes?
What does it take to construct a space from spikes?
Spikes

Regions
 Topological Space
Constructive pointfree topology
To build a space:
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•
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Define the regions
Show how to compute
• intersections,
• unions,
• etc.
Define continuity
etc.
Computationally, topological space is a logical structure over a set of regions
(RCC theory, A. Cohn (1992))
Computing topological relationships
•
Computations that are necessary to
construct a topological space from a
set of available regions…
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…can be realized in neural networks
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The relationships between regions
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and continuous transitions between
them
Hippocampal loop may compute the
topological relationships between regions
The information contained in the
patterns of activity in the network
is the same as in the topological
relationships between regions in
the pointfree topological space
Topological representation of space
and of the memory maps can be
built constructively as a result of the
hippocampal network computations
SB
CA1
Testing topological hypothesis
Acknowledgements
• Loren Frank
• Sen Cheng
• Anthony Cohn (Leeds Univ., UK)
Sloan Swartz Foundation
Frank Lab:
Mattias Karlsson
Caleb Kemere
Steve Kim
Ana Nathe
Annabelle Singer