| Professor David Heeger david.heeger@nyu.edu Office hours: by appointment on zoom | Gabe Yancy, Rm. 1033 gmy225@nyu.edu Office hours: Wed 4-6pm, Thu 3-5pm |
Zoom link:
https://nyu.zoom.us/j/95506621136
There will be a series of 4 computational lab assignments (see below), using Excel, each of which will be submitted with a written lab report. Most of the work for these assignments will be done in class (bring your computer to class). You will be encouraged to work in groups of 2-4 during class time, with the expectation that you will help each other learn and solve problems that you run into while trying to implement the projects. But each of you are individually responsible for contributing to your group. I and the TA will meet with each group in turn during class time and we will call on each of you to explain what you are doing and what you need help with.
Because you will be working in groups, each member of the group will receive the same score. Consequently, each member of the group is expected to contribute equally to each assignment. If there's a problem with your group (e.g., an individual not contributing), then it is your responsibilty to let me know as soon as possible.
Your grade will be determined by your scores on the computational lab assignments (25% for each of the 4 assignments). Basis of final grade: A (90-100), B (80-89), C (70-79), D (60-69).
Further information on all assignments, course requirements, course policies, and assessment/evaluation of student work will be provided in class.
| Date | Topic | Reading |
| 9/4, 9/11, 9/18 | The membrane equation | Membrane equation handout (11 pages) |
| 9/25, 10/9, 10/16 | Linear systems and convolution |
Linear systems handout (18 pages) |
| 10/2 | No class: Yom Kippur | |
| 10/23, 10/30, 11/6 | Neural integrators and neural oscillators | Primer on neural integrators and neural oscillators (5 pages) |
| 11/13 | No class | |
| 11/27 | No class: Thanksgiving | |
| 11/20, 12/4, 12/11 | Oscillatory Recurrent Gated Neural Integrator Circuits |
Carandini & Heeger, Nature Reviews Neurosci, 2012 (12 pages) Heeger & Mackey (2019) (16 pages) Heeger & Zemlianova (2020) (16 pages) |
Read the membrane equation handout. Use Eq. 5 to implement the membrane equation in Excel (or Numbers). Simulate the membrane potential over time for current steps, and make graphs that look like those in Fig. 2 (using the parameters in the figure caption). We call this the step response. Make another series of graphs for current inputs that vary sinusoidally over time. We call this the frequency response. You will note that the frequency response is also sinusoidal (i.e., if the injected current varies sinusoidally over time then the membrane potential also varies sinusoidally over time).
Use your simulations to answer the following questions:
(1) What happens to the step response when you double the value of C, when you double the value of g, and when you double both C and g? Use Eq. 6 and Fig. 2 as a guide.
(2) What happens to the frequency response when you change the frequency of the injected current? In what way does the frequency of the sinusoidal membrane potential depend on the frequency of injected current? In what way does the amplitude of the sinusoidal membrane potential depend on the frequency of injected current? In what way does the phase of the sinusoidal membrane potential depend on the frequency of injected current? Use Eqs. 9 and 10, and Fig. 4 as a guide.
Write a lab report consisting of a couple pages of text and a few figures showing the results of your simulations. Copy/paste the graphs from Excel/Numbers into either Word or Pages. Please make the figures legible and comprehensible: label the axes, add figure captions, etc. Make a PDF of your lab report and send it to me by email. I will accept only PDF files.
Assignment 2 (due 10/23)Download the Linear systems tutorial. Work through this spreadsheet to understand what it does and how it works. Write up a lab report that answers the questions in red in the tutorial, including graphs. Make a PDF of your lab report and send it to me by email. I will accept only PDF files.
Assignment 3 (due 11/13)Read the Primer on neural integrators and neural oscillators. Use Eq. 1 (with tau = 10 msec) to recreate Fig. 1. Use the same equation but with the value of lambda changing over time to recreate Fig. 2. Use Eqs. 7, 8, and 9 to recreate Fig. 3.
Write a lab report consisting of a couple pages of text and a few figures showing the results of your simulations. Copy/paste the graphs from Excel/Numbers into either Word or Pages. Please make the figures legible and comprehensible: label the axes, add figure captions, etc. Make a PDF of your lab report and send it to me by email. I will accept only PDF files.
Assignment 4 (due 12/18)Read the ORGaNICs papers: Carandini & Heeger, Nature Reviews Neurosci, 2012; Heeger, PNAS, 2019; Heeger & Zemlianova, PNAS, 2020.
Follow the instructions in the ORGaNICs assignment handout. Make a PDF of your lab report and send it to me by email. I will accept only PDF files.
Please plan to attend class in person as long as you are healthy. If you feel ill (even slightly ill) or if you think you might have been exposed to COVID or the flu some other contageous disease (e.g., you attended at a party that was more crowded than you expected it to be), please skip class and get yourself tested. You may attend class remotely under such circumstances. The TA or instructor will meet with you 1:1 if needed to make sure that you don't get behind.
Please stay home even if you are ill even if you think you don't have COVID or the flu (i.e., you got a negative test result). Think of the consequences. If you come to class with a cold and transmit it to someone else, they will have to assume that they might have COVID. So they will need to get tested and they will need to quarantine, skip classes and cancel all their plans, risk infecting their friends and family. So...
STAY HOME IF YOU FEEL ILL - EVEN IF YOU ARE CERTAIN THAT YOU DON'T HAVE COVID.
At this point in time, everyone should know how to wear a mask. But just in case... Wearing a mask is effective only if it covers both your mouth and your nose. There's little metal strip at the top of the mask that should be pinched over your nose to the shape of your face, so that the mask doesn't slide down. We should not be able to see the tip of your nose.
In a large, complex community like NYU, it is vital to reach out to others, particularly those who are isolated or engaged in self-destructive activities. Student wellness is the responsibility of all of us.
The NYU Wellness Exchange is the constellation of NYU's programs and services designed to address the overall health and mental health needs of its students. Students can access this service 24 hours a day, seven days a week - wellness.exchange@nyu.edu; (212) 443-9999. Students can call the Wellness Exchange hotline (212-443-9999) or the NYU Counseling Service (212-998-4780) to make an appointment for Single Session, Short-term, or Group counseling sessions.
david.heeger@nyu.edu