Please help. The code would also be nice to help me have a reference for structure, for future code writing.

A. Synapse is the way neurons pass activation signal from one to another. Here we simulate synapse caused conductance change in response to a train of uniformly spread input spikes. The conductance g (in unit is described by d g 2 dg u(t) Which is equivalent to the following two differential equations: dz G u(t) dt And dg -g (t) dt r The constant G is related to the peak conductivity gpeak by norm gpeak norm ris synaptic time and e 2.718 The impulse response is the function peak t/t te g(t) G te norm (a) the peak of the conductance waveform occurs at t r g(r) g peak Write a MATLAB program that use the two first order differential equations to simulate conductance changes in response to a train of uniformly space input spikes. Model the spike input as: when a spike occurs 4t u(t) otherwise At- input spike interval, Simulate the following four cases and tum in plots of conductance vs. time using Tmax 500ms. dr 1 ms, and gpeak 0.1 us. (a) At 50ms. t 10ms, (b) At 50ms, t 50ms, (c) At 10ms, t 10ms, (d) At 10ms, t 50ms. show your answer (a) and (b) Hint: your answer (c) and (d) shall look like the following [only grade (a) and (b)l intervale 10 msec s 10 msec 10 msec pa50 msec 0.35 1.4 03 1.2 0.25 as 02 08 0.6 0.15 04 0.1 02 005 100 20 300 400 500 100 200 300 400 500 t (msec) t (msec) A. Synapse is the way neurons pass activation signal from one to another. Here we simulate synapse caused conductance change in response to a train of uniformly spread input spikes. The conductance g (in unit is described by d g 2 dg u(t) Which is equivalent to the following two differential equations: dz G u(t) dt And dg -g (t) dt r The constant G is related to the peak conductivity gpeak by norm gpeak norm ris synaptic time and e 2.718 The impulse response is the function peak t/t te g(t) G te norm (a) the peak of the conductance waveform occurs at t r g(r) g peak Write a MATLAB program that use the two first order differential equations to simulate conductance changes in response to a train of uniformly space input spikes. Model the spike input as: when a spike occurs 4t u(t) otherwise At- input spike interval, Simulate the following four cases and tum in plots of conductance vs. time using Tmax 500ms. dr 1 ms, and gpeak 0.1 us. (a) At 50ms. t 10ms, (b) At 50ms, t 50ms, (c) At 10ms, t 10ms, (d) At 10ms, t 50ms. show your answer (a) and (b) Hint: your answer (c) and (d) shall look like the following [only grade (a) and (b)l intervale 10 msec s 10 msec 10 msec pa50 msec 0.35 1.4 03 1.2 0.25 as 02 08 0.6 0.15 04 0.1 02 005 100 20 300 400 500 100 200 300 400 500 t (msec) t (msec)