Biological Passive and Active Channel Models

Topics

  • Transistor Biological Channel Model
  • Hodgkin-Huxley (HH) Model
  • Transistor Channel HH Model

Class Schedule and Video Viewing

Date Class Topic On-Line Lectures Reading Material White Boards
Feb 6 Transistor
Channel Model
Trans-Bio Channels,
Transistor Channel Model. 1, 2, 3, 4, 5, 6, 7,
Feb 8 Hodgkin-Huxley
Si Model
HH Trans Model,
HH to FPAA,
NN to FPAA 1, 2, 3, 4, 5, 6,
Feb 13 Further HH
Modeling
SoC FPAA HH Example,
Long Talk: HH transistor model Integ & Fire Neuron,
Adaptive Int & Fire,
Integrate & Fire 1, 2, 3, 4, 5,
Feb 15 Other
Models
Neuron (Chp. 12) 1,

Reading Material

Neuron Structure

This unit focuses on a biorealistic circuit model for a neuron, combining different concepts from past experiments.

The Passive Channel (Unit 1)

The passive channel forms the basis of the silicon neuron. Recall the IV output and similarity to the voltage controlled barrier across a biolgicaL membrane: These IV dynamics allow biorealism.

Active Gating Circuits (Unit 1 & 2)

K Gating Circuit (Unit 1):

Figure 1: K channel gating circuit, using a Follower-Integrator structure.

The classical K Channel gating circuit has been modified to fit the FPAA structure. Originally the circuit was a high-pass feeding into an inverting (pFET) input, being careful to keep the gain below 1. Parasitic capacitances in the FPAA made a gain above 1 difficult, allowing another structure: A nFET channel with a low-pass gating circuit. This gating circuit is exactly what was measured in Unit 1, a Follower-Integrator, but now with an FG TA that is used to program an offset in the DC level of the output.

NA Gating Circuit (Unit 2):

Figure 2: NA channel gating circuit, using a C4-type BPF with a source follower to lower the DC level.

The classical NA Channel gating circuit has been modified to fit the FPAA structure, as discussed in Unit 2. A source follower has been added to the output to lower the DC level, allowing us to use the power rail (GND) as the hard edge that the gain stops at.

Experiment 1: Silicon Hodgkin-Huxley Neuron

Figure 3: Full FPAA implementation of the silicon HH neuron, and a sample spiking waveform

Build the HH neuron onto the FPAA and measure its output. Some helpful starting parameters .
  • Show the neuron output for different input current steps
    • Below threshold (no spiking)
    • At threshold: 1 spike, and possibly a few more due to noise
    • Spiking range (continuous spiking at step)
    • Out of range (no spiking)
  • Show the neuron output for a DC input in the spiking range
  • Show the neuron output for an input ramp

Experiment 2: Silicon Integrate and Fire Neuron

Figure 4: FPAA implementation of the origianl Integrate and Fire neuron.

Build the I&F Neuron from AVLSI onto the FPAA and measure its output
  • Show the neuron output for different DC input currents
  • Show the neuron output for an input ramp

Experiment 3: Neuron Analysis and Discussion

After examining the behavior of both the HH and IF neuron, compare and contrast their responses
  • Which model is more biorealistic?
    • Name observed experimental traits to support this
  • Compare the area taken by the two neurons
    • Consider both FPAA and custom implementations
  • Compare the tuning parameters in each neuron
  • Why would you use one neuron type over the other?