How a fly's brain calculates its position in space

Date:
December 15, 2021
Source:
Rockefeller University
Summary:
Neurons in the fly brain appear to literally perform vector math in
order to signal the direction in which their bodies are traveling,
regardless of which way their heads are pointing.



FULL STORY ========================================================================== Navigation doesn't always go as planned -- a lesson that flies learn
the hard way, when a strong headwind shunts them backward in defiance
of their forward- beating wings. Fish swimming upriver, crabs scuttling sideways, and even humans hanging a left while looking to the right
contend with similar challenges. How the brain calculates an animal's
direction of travel when the head is pointing one way and the body is
moving in another is a mystery in neuroscience.


==========================================================================
A new study makes significant headway on solving this mystery by reporting
that the fly brain has a set of neurons that signal the direction in
which the body is traveling, regardless of the direction in which the head
is pointing. The findings, published in Nature, also describe in detail
how the fly's brain calculates this signal from more basic sensory inputs.

"Not only do these neurons signal the fly's direction of travel, but
they do also so in a world-centered reference frame," says Rockefeller neuroscientist Gaby Maimon. What's remarkable, adds first author Cheng
Lyu, a graduate student in the Maimon lab, is that these insects are transforming body-referenced sensory inputs into a world-referenced
signal, allowing the fly to know that it is traveling, for instance,
90 degrees to the right of the sun or northward.

Finding one's place Even when we close our eyes, we typically retain a
good idea of where we are in a room and which way we're facing. That's
because, even in darkness, our brains construct an internal understanding
of where we are in space. In the 1980s, scientists discovered that a
group of cells called head direction cells play a key role in letting
us to know our angular orientation and it was later discovered that
flies have cells with similar function. The cells' activity indicates
the angle in which the head is pointing, akin to how a compass needle
indicates one's orientation in an environment.

All is well as long as we're walking -- or flies are flying -- in the
same direction that the head is facing. The head-direction cells can be
used to update the internal sense of where one is going. But if we walk
north while facing east, or if a fly attempts to buzz forward while the
wind pushes it backward, the head direction cells point in the wrong
direction. Yet the system still works. Flies are relatively unperturbed
by the indignities of wind currents, and humans don't get lost when they
swivel to take in the scenery.

Lyu and Maimon wondered how flies know where they're going, even when
their head direction cells were seemingly relaying inaccurate information.



==========================================================================
To answer this question, Lyu glued fruit flies to miniature harnesses
that hold only the insects' heads in place, enabling him to record brain activity while leaving the flies free to flap their wings and steer
their bodies through a virtual environment. The setup contained several
visual cues, including a bright light representing the sun and a field
of dimmer dots that could be adjusted to make the fly feel like it was
being blown backward or sideways.

As expected, the head direction cells consistently indicated the fly's orientation to the sun, simulated by the bright light, independently
of the dimmer dots' motion. In addition, the researchers identified a
new set of cells that indicated which way the flies were traveling,
and not just the direction their head was pointing. For example, if
the flies were oriented directly toward the sun in the east while being
blown backward, these cells indicated that the flies were (virtually)
traveling west. "This is the first set of cells known to indicate which
way an animal is moving in a world-centered reference frame," Maimon says.

Mental math But the team also wondered how fly brains compute the
animal's travel direction at the cellular level. Collaborating with
Larry Abbott, a theorist at Columbia University's Zuckerman Institute,
Lyu and Maimon were able to demonstrate that the fly brain engages in
a sort of mathematics exercise.

A physics student plotting an object's trajectory will break the
trajectory into components of motion, plotted along the x- and
y-axis. Similarly in the fly brain, four classes of neurons that are
sensitive to visual motion indicate the fly's traveling direction as
components along four axes. Each neuronal class can be thought of as representing a mathematical vector. The vector's angle points in the
direction of its associated axis. The vector's length indicates how fast
the fly is moving along that direction. "Amazingly, a neural circuit in
the fly brain rotates these four vectors so that they are aligned properly
to the angle of the sun and then adds them up," Maimon says. "The result
is an output vector that points in the direction the fly is traveling, referenced to the sun." Vector math is more than just an analogy for
the computation taking place.

Rather, the fly brain appears to be literally performing vector
operations. In this circuit, populations of neurons explicitly represent vectors as waves of activity, with the position of the wave representing
the vector's angle and the height of the wave representing its length. The researchers even tested this idea by precisely manipulating the length
of the four, input vectors and showing that the output vector changes
just as it would if flies were literally adding up vectors.



==========================================================================
"We make a strong argument that what's happening here is an explicit implementation of vector math in a brain." Maimon says. "What makes this
study unique is that we show, with extensive evidence, how neuronal
circuits implement relatively sophisticated mathematical operations." Understanding spatial cognition The present research clarifies how flies
figure out which way they're going, in the moment. Future studies will
examine how these insects keep track of their travel direction over time
to know where they've ultimately ended up. "A core question is how the
brain integrates signals related to the animal's travel- direction and
speed over time to form memories," says Lyu. "Researchers can use our
findings as a platform for studying what working memory looks like in
the brain." The findings might have implications for human disease, as
well. Because spatial confusion is often an early sign of Alzheimer's
disease, many neuroscientists are interested in understanding how
brains construct an internal sense of space. "The fact that insects,
with their tiny brains, have explicit knowledge of their traveling
direction should compel researchers to search for similar signals and
analogous quantitative operations in mammalian brains," Maimon says.

"Such a discovery might inform aspects of the
dysfunction underlying Alzheimer's disease, as well as
other neurological disorders that afflict spatial cognition." ========================================================================== Story Source: Materials provided by Rockefeller_University. Note:
Content may be edited for style and length.


========================================================================== Journal Reference:
1. Lyu, C., Abbott, L.F. & Maimon, G. Building an allocentric
travelling
direction signal via vector computation. Nature, 2021 DOI: 10.1038/
s41586-021-04067-0 ==========================================================================

Link to news story: https://www.sciencedaily.com/releases/2021/12/211215113221.htm

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