A model diagram of insulin and glucose interaction is shown below. I and G are insulin and glucose concentrations, respectively, in a target tissue, and are dependent on t= time. The parameters: . a=1.2,b=0.09,c=0.05, and e=0.01 are rates in min1, . d=0.02 and f=0.01 are rates per concentrations in min1mM1, . Gd=0.5mM/min is the delivery glucose concentration flow, and . Id = delivery insulin concentration which is: 60mM when t=0 to 0.2min or 0mM at t>0.2min. Tasks 1) Use Microsoft Word to answer all succeeding questions including solutions (hand-written equations images, screenshots of codes, plots, etc.). 2) Write the system of ODEs based on the model where the dependent variables are I and G and the independent is t. . Equation 1: the derivative of I with respect to t is the net (in minus out) insulin concentration flow into the tissue dtdl=a times ld minus b times I . Equation 2: derivative of G with respect to t is the net glucose concentration flow into the tissue dtdG=GdminusGtimesthequantity:(c+dI+e+fI) 2) Write a MATLAB Live Script to: - solve for the values of I and G from 0 to 2 hours when their initial values are 0 and 10mM, respectively (You have to use a custom fx to achieve this since Id is conditional), and - plots I vs. t and G vs. t, overlaid with proper annotations. 3) Answer, approximate, and/or simulate the following based on your Live Script. - In your own words, describe the events happening in the tissue based on the plot of insulin and glucose concentrations versus time. . What are the equilibrium (where they appear horizontal) concentrations for both insulin and glucose? What can these information be used for? - Simulate by changing a parameter to increase the equilibrium level of glucose. What may be the consequence of this? - BONUS: simulate a 2-dose delivery of insulin and demonstrate graphically. 4) Attach and submit the Microsoft Word file. Do not send the MATLAB Live Script. Mtoch Fie