Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Neuro Exam 2: Synaptic Release, Receptive Fields & Fourier Transforms (CAAM/NEUR 415), Exams of Philosophy of psychiatry

The questions and answers for examination #2 of the caam/neur 415 course, covering topics such as synaptic release, receptive fields, and fourier transforms in neuroscience.

Typology: Exams

Pre 2010

Uploaded on 08/16/2009

koofers-user-hk1
koofers-user-hk1 🇺🇸

10 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
CAAM/NEUR 415: EXAMINATION #2
April 24, 2006
1 Answer the following questions (total 26 points):
1. What are the two main assumptions made by the quantal model of synaptic release
about the release of neurotransmitter from the presynaptic terminal at a chemical
synapse? At a synapse in the central nervous system, would you expect the binomial
or the Poisson version of the model to better describe synaptic release? Briefly justify
your answer. (4 points)
2. Assume an AMPA synapse is activated in a neuron at rest (-70 mV) or at a de-
polarized membrane potential (40 mV above rest). Do you expect more current to
flow through the channel at rest or in the depolarized state? What about an NMDA
synapse? Briefly explain why. (3 points)
3. Explain what is meant by ”silent” inhibition. (2 points)
4. An optimally oriented, stationary oscillating sinusoidal grating is presented in the
receptive field of a simple and complex cell at various phases with respect to the
receptive field center. Briefly describe the two main differences expected between
their responses. (3 points)
5. Briefly explain how the spatial receptive field of a complex cell is obtained from that
of simple cells in Hubel and Wiesel’s model and why their idea is plausible. (2 points)
6. Why is the Fourier transform an important tool to describe the spatial receptive
fields of the visual neurons studied in class? (2 points)
7. Sketch the spatio-temporal (x, t) receptive field of a simple cell sensitive to motion
from left to right. Based on the sketch, briefly explain why the cell responds to one
direction of motion and not the other. (2 points)
8. Give two common measures of variability used to describe the spike trains of neurons.
Briefly explain the difference between the two. What is for each of these measures the
expected range of values that you expect from cortical neurons in vivo? (3 points)
9. Briefly explain in words how the Tsodyks-Markram model of synaptic release extends
the classical quantal model. How does in this model short term synaptic depression
affect the transformation between pre- and postsynaptic rate? (2 points)
10. Briefly explain how a temporal weighting function is obtained using reverse-correlation.
Give two assumptions that need to be satisfied by the stimulus and/or neuronal sys-
tem under consideration for the method to work. (3 points).
1
pf3
pf4

Partial preview of the text

Download Neuro Exam 2: Synaptic Release, Receptive Fields & Fourier Transforms (CAAM/NEUR 415) and more Exams Philosophy of psychiatry in PDF only on Docsity!

CAAM/NEUR 415: EXAMINATION

April 24, 2006

1 Answer the following questions (total 26 points):

  1. What are the two main assumptions made by the quantal model of synaptic release about the release of neurotransmitter from the presynaptic terminal at a chemical synapse? At a synapse in the central nervous system, would you expect the binomial or the Poisson version of the model to better describe synaptic release? Briefly justify your answer. (4 points)
  2. Assume an AMPA synapse is activated in a neuron at rest (-70 mV) or at a de- polarized membrane potential (40 mV above rest). Do you expect more current to flow through the channel at rest or in the depolarized state? What about an NMDA synapse? Briefly explain why. (3 points)
  3. Explain what is meant by ”silent” inhibition. (2 points)
  4. An optimally oriented, stationary oscillating sinusoidal grating is presented in the receptive field of a simple and complex cell at various phases with respect to the receptive field center. Briefly describe the two main differences expected between their responses. (3 points)
  5. Briefly explain how the spatial receptive field of a complex cell is obtained from that of simple cells in Hubel and Wiesel’s model and why their idea is plausible. (2 points)
  6. Why is the Fourier transform an important tool to describe the spatial receptive fields of the visual neurons studied in class? (2 points)
  7. Sketch the spatio-temporal (x, t) receptive field of a simple cell sensitive to motion from left to right. Based on the sketch, briefly explain why the cell responds to one direction of motion and not the other. (2 points)
  8. Give two common measures of variability used to describe the spike trains of neurons. Briefly explain the difference between the two. What is for each of these measures the expected range of values that you expect from cortical neurons in vivo? (3 points)
  9. Briefly explain in words how the Tsodyks-Markram model of synaptic release extends the classical quantal model. How does in this model short term synaptic depression affect the transformation between pre- and postsynaptic rate? (2 points)
  10. Briefly explain how a temporal weighting function is obtained using reverse-correlation. Give two assumptions that need to be satisfied by the stimulus and/or neuronal sys- tem under consideration for the method to work. (3 points).

2 Theory and practice of Fourier transforms (total 24 points)

  1. You need to sample a time-varying signal whose frequency content does not exceed 100 Hz. What is the smallest sampling frequency that you can use without distorting the signal? Briefly justify your answer. (3 points)
  2. Compute the sampling time step corresponding to the sampling frequency in 1. ( points)
  3. After aquiring 2048 samples of the signal, you decide to compute its discrete fast Fourier transform. What is the range of frequencies that you will obtain and what is the resolution ∆f that the acquired data will give in the frequency domain? ( points)
  4. How many components will your fast Fourier transform vector have? Explain how each of the components relates to the frequency range of 3. (4 points)
  5. If the signal consists of a linear superposition of two sine waves at frequencies f 1 = 10 Hz and f 2 = 25 Hz, how do you expect the individual coefficients of the discrete Fourier transform to look like? Briefly explain your answer. (4 points)
  6. What is the relation between the mathematical definition of the Fourier transform and the numerical Fourier coefficients obtained by the fast Fourier transform algo- rithm? Briefly explain how this relation arises. (2 points)
  7. You need to compute, with pencil and paper, the exact formula for the 2-dimensional Fourier transform of the following function,

f (x, t) = e−x

(^2) −t 2 cos(αx + βt).

Briefly explain in words how you would proceed about carrying out this task. ( points)

3 Retinal ganglion cell receptive field properties (total 22 points)

According to the lecture notes, the 1-dimensional, spatial receptive field of a retinal gan- glion cell at high light levels is given by,

v(x) = kcrc

πe−(x/rc)

2 − ksrs

πe−(x/rs)

2 ,

with parameters kc = 1, ks = 0.06, rc = 0.24 deg and rs = 0.96 deg.

  1. Plot the spatial receptive field between ±6 deg (approx.) with a spatial sampling step dx = 0.006 deg. (3 points)
  2. At low light levels, the parameters characterizing the weighting function v(x) of the cell are observed to change as follow: rc → 2 · rc, rs → 2 · rs, kc → kc/5, ks → ks/5. Plot the spatial receptive field at low light levels. (3 points)

threshold. Compute the minimum error of an observer based on a spike threshold. (7 points)

Notes. a. Use a time step of 0.1 msec for 1 and 2. b. For 5 use 10 equally sized bins between 0 and 20 spikes to compute the ROC curve.