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Wide Field Visual Information Encoding in
the Blow Fly
Evren Tumer
April 2, 2002
1
Introduction
The H1 neuron in the blow fly is known to encode information about horizontal motions across the full visual field. This neuron has been well characterized [1] and is often used to test theories on information encoding in
sensory neurons [2, 3]. In this lab, students will prepare a fly by opening the
back of the head and exposing the H1 neuron. Then the fly will be mounted
in front of an Light Emitting Diode (LED) display and the H1 neuron will
be monitored with an electrode as the pattern on the LED display moves.
The main stimulus variable is the angular velocity of the pattern projected
by the LEDs at the fly’s visual field; which will be recorded simultaneously
with the spike train coming from the H1 neuron. This data can be used to
analyze how the spike train is encoding information about the stimulus.
The H1 is a directionally sensitive motion detection neuron, that spikes
at changing rate for motion in one direction (preferred direction) across the
visual field and stops spiking when motion is in the opposite direction (nonpreferred). So the cell has a much smaller dynamic range in response to
motions in the non-preferred direction. In order to encode information about
motion in both directions accurately the fly has two H1 cells, one in behind
each eye, with opposite preferred directions. The spiking rates of the H1
has been studied under many changing conditions, including changing the
average intensity, the contrast, and angular velocities of the stimulus [1] also
adaptation in the H1 cell has been studied [4].
1
2
2.1
Experimental Setup
Flight Arena and Stimulus
The main setup of this experiment involves a flight arena in which the fly is
held fix in front of an LED screen. The screen consists of 96 columns of green
LEDs; each column has 10 LEDs all of which can be at one of two voltage
levels. A digital I/O board, controlled by a computer, can independently
switch each column between the two levels. Thereby creating a stimulus
of bright and dark vertical bars which can be moved in front of the fly at
different angular velocities. Figure 1 illustrates the basic flight arena set
up, notice that there are 24 columns excluded from the back of the arena
to allow for the electrode rig that will be used for the electrophysiological
measurements. So the 96 columns of LEDs cover a total angle of 288 degrees
around the fly with each column subtending 3 degrees.
2.2
Preparation and Electrophysiology
The neural activity of the H1 neuron is recorded extracellularly by a tungsten
electrode. These signal have magnitudes of tens of microvolts and require
amplification. Figure ?? illustrates the basic experimental setup. The signal
from the electrode is first passed through a preamplification stage which uses
Field Effect Transistor amplifiers to minimize the amount of current drawn
through the electrode. From the preamp the signal is passed to a differential
amplifier that removes common-mode signals between the reference wire and
the electrode and amplifies the signal with a gain of 1000. Now the signal is
large enough to be recorded on the computer.
Blowflies, Sarcophaga bullata, are used in this experiment. Flies are purchased as pupae and allowed to mature in a plastic insect cage. A good cage
will come with a door on top that is large enough to fit one’s hand through.
In order to get the flies out of the cage without allowing them to escape, this
door is removed and the waist end of a pair of pantyhose is attached over the
hole. By cutting away the foot part of the pantyhose one can reach into the
cage to catch the flies while blocking their escape. Place the pupae into the
cage along with a small bowl of water and a small bowl of sugar. Also a heat
lamp can speed up the eclosion (hatching) of the flies, which takes about a
week. It is also suggested to keep the cage somewhat humid which can be
done by periodically (every day or so) spraying water into the cage.
2
Most papers on H1 measurements use 2-3 day old female flies. It’s good
to let the flies mature for 2-3 days after hatching, this allows the cuticle
behind the head to harden and the visual system the develop, but usually
the flies can be used up to 1.5 weeks after hatching. Though I have not yet
understood why, I have had the best success with the female flies. The two
sexes can be easily distinguished while the flies are copulating. The females
are usually smaller, with a rounder abdomen, and a smaller orange spot on
their butt. After 1.5 weeks the flies can be disposed by placing the cage in
the freezer for 10-15 minutes. This anesthetizes the flies after which they can
be killed and thrown out. There’s nothing like the smell of a week old fly
cage in the morning. Have fun kids.
After catching a fly in a plastic test tube, place the test tube into the
freezer for 15-20 minutes, anesthetizing the fly. Remove it from the test tube
and cut off the wings and legs with a scalpel. Glue down the wing stubs
as well as the legs, this will help the minimize signals from muscle motion.
Next glue the fly to a small piece of metal and cut off the probiscus (tongue)
and glue the stub of the probiscus down. Glue the head of the fly down to
the thorax, making sure that the head is far enough down that the back of
the eyes is fully exposed and then cut away the cuticle behind one of the
eyes. A good tool for this is a made by breaking off a small piece from a
carbonized steel razor blade. These razors break cleanly and can be used to
make small sharp edges, which can be glued down to a popsicle stick and used
as a dissection tool. Clear away the air sacs in the back of the head, which
look like spider webs, and place some fly saline in the opening (see appendix
for formula). Now the visual system should dramatically appear before you.
The visual neurons start to branch out from the midline of the head to the
eye. Figure 2 illustrates the layout of the visual system and points to the
approximate location of the H1 neuron. Finally, using a scalpel, make a small
incision between two of the plates on the top part of the abdomen, this will
help when inserting the reference wire into the fly. Let the fly get used to
her new ”situation” by placing her in the dark for about an hour. Add more
saline if the head cavity starts to dry out.
Now the search for the H1 begins : don’t worry, the force is strong in
you, this should present no particular problem. For the electrophysiology 1-5
MΩ, 0.005 inch diameter tungsten electrodes were used. Place the electrode
as close as possible to the opening in the back of the flies head and insert the
reference wire into the fly’s abdomen. Use the operating microscope and the
micromanipulator to position the electrode over the region shown in figure 2.
3
Start the LED pattern moving with a sinusoidal angular velocity (see next
section) as you slowly move the electrode toward the tissue. The directional
sensitivity of the H1 will make it easy to find, since the neuron will only
spike when the pattern is moving in the preferred direction. There seems
to be some neural activity that can be picked up from the photoreceptors,
or something closer to the eye than the H1, which occurs every time the
pattern moves. This can be distinguished from the H1 since it occurs in both
directions of motion.
2.3
Stimulus Control Software
Figure 3 shows the front panel of the lab view program that controls the
stimulus and the data acquisition and processing. The program can alter
the average intensity, contrast, spatial wavelength, and angular velocity of
the pattern. The program also controls the digitization of the measured
electrophysiological voltages, low pass filters them to remove noise, then high
pass filters them to accurately pull out the spikes. The raw signal can be
sampled at rates up to 100 kHz, but 20-30 kHz is usually more than enough
to get accurate spike timing. Each part of the program is described below
with the numbers corresponding to numbers in figure 3. Note that boldface
type refers to the controls on the front panel of the program.
1. Controls that handle the intensity and contrast of the pattern. When
the Update C/I button is turned off these values will remain fixed.
With the button in the ”On” position the pattern intensity and contrast
will be updated once every C/I Update Rate milliseconds. The two
different voltage levels that the LEDs can have are determined by
Vlow = 10I(1 − m)
Vhigh = 10I(1 + m)
where I is Average Intensity and m is Contrast. Both I and m
range between 0 and 1, which leads to output voltages ranging between
0 and 20 Volts.
2. This section of the panel controls the analog input and output through
a National Instruments AT-MIO-16-E10 board. The analog output
is used to control pattern intensity and contrast by setting the two
4
voltage levels that the LEDs can switch between. The analog input is
for sampling the voltage measurements from the electrode. The voltage
range of the Analog-to-Digital Converter (ADC) is set by AI Voltage
Limits. AI Scan Rate sets the sampling rate of the buffered input
and AI Buffer Size sets the size of the internal buffer. The length of
data that is to be pulled out of the buffer and processed at a time is
set by Data to pull out (in milliseconds). This value must be set to
a value less than the buffer size divided by the scan rate.
3. This control sets the pattern that will be moved in front of the fly by
initializing a 15 element array, each element of which consists of an 8
bit (1 byte) integer that controls 8 of the LED columns. A bit that is
set to 1 will set it’s corresponding LED column to Vlow 0 valued bit will
set that LED column to Vhigh . The first element of the array sets the
eight LEDs on the boards numbered P12 and P13, the next element
sets P14/P15, and so on around the arena, with the 15th element setting P2/P1. For example, an element of the pattern is set to 9, this
corresponds to a binary value of 00010001, and sets the first and the
fourth column of LEDs to the low voltage and the other 6 to the high
voltage. With all of the elements of the array set to 1, the pattern
will have dark bars spaced at 24◦ in front of a bright background. The
pattern does not change in structure during motion, it only changes in
position.
4. This control determines how the pattern will move. Many different
functions can be placed here, but the current version of the program
only has the capability for constant angular velocity, the value of which
is set by control Ang Freq, and a sinusoidal angular velocity for which
the frequency (in Hz) and the amplitude (in ◦ /sec) are set by Sin Ang
Freq and Sin Amp, respectively.
5. This controls the low pass filtering and spike sorting routines. The low
pass filter is implemented by an average over a number of samples set
by Filter Order. Then a two point numerical derivative of that signal
is used to high pass filter the signal and take out any slow variations
(non-spikes). The threshold control sets the level at which the fully
filtered (both low and high pass) signal triggers a spike. Spikes are
located by finding a peak in the signal after a trigger occurs. The
fully filtered signal is output to the plot window Filt Data to help
5
determine the threshold in real time. The signal from the electrode
after pre-amplification and amplification is plotted above that in the
window Vm Chart and the angular velocity of the pattern is plotted
in AF Chart. Then the time intervals between spikes and the spike
amplitudes are plotted to ISI Plot and Spk Amp, respectively. To
search for positive going spikes Pk/Val is set to 0 and to find negative
going spikes it is set to 1.
6. The controls W DF and Spike Time DF determine the files to which
the angular velocity and the spike information will be written. The
former file will contain two columns of numbers, the first indicating
time (in seconds) and the second the value of the angular velocity of
the pattern at that time. The latter file has three columns, the first
is the absolute time of the spike since the beginning of the experiment
(in seconds), the second column is the amplitude of the spike (in Volts)
and the last is an estimate of the width of the spike (in samples). The
raw signal can also be saved to the file indicated in AI DF, but the
data is only written out while Wrt TMS is set ”On” since this can
quickly become a rather large file.
3
Results
A section of the raw voltage measurements taken during constant angular
velocity stimulus of 100◦ /s is shown in figure 4. Figure 5 zooms in on one of
those spikes. Sometimes the fly will try to move its body or other appendages,
during which the electrode picks up a very large signal. An example of this
is shown in figure 6. These episodes must be filtered out of the data analysis
which can be done by vetoing any spikes occurring within some time window
of the onset of the muscle movement. Large spike amplitude records should
be able to indicate when muscle movement occurred.
A simple initial experiment is to measure the response of the H1 to constant angular velocity pattern motions of different magnitudes. From this
data the average firing rate can be calculated for different angular velocities
of the pattern. Some typical results from this experiment are shown in figure
7. Each data point was computed by collecting approximately 1000 spikes
while stimulating the neuron with a low contrast (m = 0.2), low intensity
(I = 0.2) pattern composed of dark bars on a bright background with a 24◦
6
spatial wavelength. To figure out the spiking rates, the spike train was broken into segments of 200 ms in length and the number of spikes occurring in
each segment were counted to form what is called the spike density function.
Averaging the spike density function over the whole recording gives the average spiking rate. The H1 neuron can adapt to static stimuli and change
its response over time, but inspection of some of the spike density functions
showed no indication of significant adaptation. Note that these responses
will change with the pattern’s spatial wavelength, intensity and contrast.
In the above data the spike rate seems to saturate as moderate angular
velocities and then degrade at large angular velocities. Further work of this
type could involve increasing the contrast and intensity of the pattern and
studying the affects on the spike rate response. It has been shown the higher
intensities can increase the angular velocity at which the spiking rate begins
to degrade [5]. Experiments can also be done on the affects of changing the
spatial wavelength of the pattern. A good reference for this type of a study
can be found in [1].
To further illustrate the directional sensitivity of the H1 neuron, figure 8
shows the response of the cell to a sinusoidal angular velocity profile. When
the pattern is moving in the unpreferred direction, which is negative angular
frequencies here, the spike rate quickly drops to zero. But the spike density
function seems to quickly saturate during motion in the preferred direction so
it does not seem to have a wide dynamic range for encoding the stimulus. We
may be driving the system out of its linear response regime with such large
angular velocities (≈ 150◦ /s) or it may be necessary to use functions other
than spike density to decode the angular velocity from the spike train [2].
An example where the spike rate does seem to encode the amplitude of the
stimulus is shown in figures 9 and 10. Here the stimulus only moves in the
preferred direction with a much smaller maximum amplitude than before.
Though somewhat noisy, the spike density function is correlated with the
amplitude of the angular velocity as seen in figure 10.
Besides spike rate, it has been proposed that the precise timing of spikes
can carry much more information than spike rates, which average out spike
time variability. One way to use estimate how individual spike times encode
information about the stimulus involves taking a spike train and breaking up
into small time bins (approximately 1-2 ms wide). Each time bin takes on
a binary values, being assigned a 1 if a spike happened during that bin and
a 0 if not. The stimulus that led to this spike train is also binned in time
windows of the same size. Now the problem becomes one of finding a linear
7
kernel that takes the discretized spike train and estimates the input stimulus
(angular velocity) :
X
ŷi =
hj xi−j
j
where ŷi is the estimated angular velocity of the pattern at bin i, x is the
discretized spike train, and hj is the kernel we want to find. The most straight
forward way to solve for the kernel is to minimize the mean squared error
between the prediction (ŷ) and the measured stimulus.
E=
X
1X
1X
(yi − ŷi )2 =
(yi −
hj xi−j )2
2 i
2 i
j
where yi is the measured angular velocity. The kernel that minimizes this
error function is obtained by solving the equation
∂E
=0
∂hj
which is obtained by solving the Wiener-Hopf equations
CJyx =
X
xx
hj CJ−j
j
with the auto and cross correlations defined by
Ckyx =
X
yi xi−k
i
A good stimulus for determining the linear kernel is a white noise distribution of angular velocities poses a problem for this setup. Since each LED
column is 3 degrees wide, the pattern must move at least that much within
one update for any change to occur in the pattern. So if the pattern is being
updated at 200 Hz, the pattern must be moving at 600◦ /s for any pattern
motion to take place. At such high angular velocities the response of the
neuron may be degraded and may not be linear. Usually these experiments
have been done with a monitor, instead of an LED screen, which allows for
higher spatial resolution but also stimulates less of the visual field. One way
to get around this may be to use low pass filtered white noise as the stimulus.
If the stimulus has a correlation time long enough to overcome the filtering
effects of the low spatial resolution but short enough to still create a wide
bandwidth signal it may be possible to estimate the kernel. At the time of
8
this writing I had yet gotten this to work. If these problems are overcome,
once a kernel is estimated, other angular velocity profiles can be presented
to the fly and the estimation errors using the kernel can be compared with
an estimate of the stimulus made using the spike density function. Students
can also try to see what parameters can be changed to drive the system out
of the linear regime and into one where the linear kernel can not accurately
estimate the stimulus.
4
4.1
Appendix
Fly Saline
As used in [6] :
110
5.4
1.9
20
15
13.9
73.7
23
mM
mM
mM
mM
mM
mM
mM
mM
NaCl
KCl
CaCl2
NaHCO3
TRIS(base)
glucose
sucrose
fructose
Adjust the pH to 7.2 at 25◦ C with 1 N HCl.
References
[1] Hendrik Eckert. Functional properties of the H1-Neurone in the third
optic ganglion of the blowfly, Phaenicia. J. Comp. Physiol. A, 135:29–39,
1980.
[2] Fred Rieke, David Warland, Rob de Ruyter van Steveninck, and William
Bialek. Spikes : Exploring the Neural Code. MIT Press, 1997.
[3] L. G. Bishop, D. G. Keehn, and G. D. McCann. Motion detection by
interneurons of optic lobes and brain of the flies Calliphora phaenicia
and Musaca domestica. J. Neurophysiol., 31(4):509–25, 1968.
9
[4] R. R. de Ruyter van Steveninck, W. H. Zaagman, and H. A. K. Mastebroek. Adaptation of transient responses of a movement-sensitive neuron
in the visual system of the blowfly Calliphora erythrocephala. Biol. Cybern., 54:223–236, 1986.
[5] G. D. Lewen, W. Bialek, and R. R. de Ruyter van
Steveninck.
Neural coding of naturalistic motion stimuli.
http://xxx.lanl.gov/abs/physics/0103088.
[6] T. M. Brotz, M. Egelhaaf, and A. Borst. A preparation of the blowfly
(Calliphora erythrocephala) brain for in vitro electrophysiological and
pharmacological studies. J. Neurosci. Meth., 57:37–46, 1995.
5
Figures
10
Flight Arena (Top View)
LED
Column
The Fly
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80
70
Average Spike Rate (spikes/sec)
60
50
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30
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0
−100
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100
150
Angular Velocity of Pattern (deg/sec)
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Time (sec)
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Time (sec)
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Spike Den. (spk/s)
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