b)Define the fraction of receptors occupied with ligand at time zero to be LR0. Solve the differential equation above to get LR as a function of time, LR(t).
c)If all of the receptors were occupied with ligand at t=0 and koff=5 s-1, what fraction of the receptors have ligand bound after 1 second?
d)Imagine this neuron is stimulating the ocular muscle that can move your eye at very fast rates and hence fires at the rate of ~100 times per second. Does this off rate make sense for this system? Why?
3)(4 points) On Angel you will find Matlab code Bioe_201_2015_Ex1.m. This code carries out Euler integration to solve for LR(t) based on the free parameters kon, koffand Rtot. The input is a step increase in [L]. Start kon= 1 M-1s-1, koff= 1 s-1and Rtot= 1 µRun simulations for [L] to 0.3, 1, 3, 10, and 30 µM. M.