Circuit Elements Required for Neural Systems - Brain Theory from a Circuits and Systems Perspective - page 54

(b) Devise two ways to pass only the first pulse of a burst using an AND gate
(HINT: Methods given in this topic includes the XOR and another, the AND
along with STM neurons)
Short-Term Memory Neurons
4. An STM neuron has evolved to provide a pulse burst of 1,500 ms. Assume that a
standard neural pulse can occur every 5 ms.
(a) What is the frequency in a standard pulse burst? (ANS. 200 Hz)
(b) How many pulses are emitted by this STM neuron? (ANS. 300)
Logic Involving Synapses
5. Illustrate logic for A +(B + C)+D (HINT: transconductance amplifiers are
involved).
6. Consider two neural signals E and F. Produce a sketch of a timing diagram to
illustrate the following, assuming that E arrives at time 0, and F arrives with a
delay of 1 ms
(a) Assume an OR gate: E + F (HINT: Show a subsketch of E and F separately)
(b) Assume an AND gate: EF
Long-Term Potentiation
7. LTP of say, 10 mV can make a neural component easier to trigger. Assume
triggering occurs at 15 mV:
(a) What is the voltage accumulation to trigger? (ANS. +5 mV)
(b) What would the size of the pulse have to be with 5 mV of LTP? (ANS.
+10 mV)
Capacitive Loads and Back Propagations
8. A capacitive load such as that at a neural soma produces back propagation in
dendrites. Assume that when a forward moving pulse meets a back moving
pulse, that a collision occurs that annihilates both pulses.
(a) If pulses arrive from a synapse at a rate of 10 Hz, and travel down an active
branch to a soma, what is the rate of pulses arriving at the soma? (ANS.
5 Hz)