You are going to create a multi$-$system model that describes oxygen delivery to a tissue taking into

consideration hemodynamics, oxygen transport and consumption, and metabolic feedback

mechanisms. You will model two different pathologies involving sudden drops in blood pressure:

anaphylactic shock and sepsis$/$septic shock.

A$.$ Using Simulink, create a multi$-$system$/$compartment model based on the equations and

information given below. Use the diagram below to guide you in organizing your model. As

shown in the diagram, use the area functionality in Simulink to block off each

system$/$compartment in your unit and label it accordingly. Label each variable from the table

below as a line or block. Organize your model neatly, avoiding crossing your lines. $($Total

protonic reversal!$)$ You should have three scopes logging data to the workspace $($P OT $,$ RA $,$ N$).$

B$.$ Model Variation $1$: Use a constant value for PA as your input to model a healthy individual. Set

your simulation time to $20$ seconds $($where $1$ second of model time represents $1$ minute of real

time$).$ Save this version of the model. In your script, open and run your Simulink model. Print an

image of your model and include it in a text section of your code. Create a set of three subplots

$($in a single column$)$ showing the steady state plots for P OT $,$ R A $,$ and N vs$.$ time. Set a color for

your each line that not the default and set your line width to $2.$

C$.$ Model Variation $1$ Analysis: What is the steady state value for P OT $?$ Approximately how long did

it take to reach steady state? Where the feedback mechanisms activated for N and RA $?$ Why or

why not? If they were activated, was the maxima or minima reached, and if so how long did it

take to reach that point? If the feedback loop$($s$)$ was$/$were activated, how did this affect the

POT $?$ Answer these questions in a text section of your script.

D$.$ Model Variation $2$: To model anaphylactic shock, you will use a $1-$D look up table. Set your

simulation time to $20$ seconds $($where $1$ second of model time represents $1$ minute of real

time$).$

For the first three minutes of your simulation, the person$$s arterial pressure is normal.

However, after three minutes they start going into anaphylactic shock and their blood

pressure begins to decrease linearly. Seven minutes after the onset of anaphylactic

shock their arterial pressure has dropped to $37$mmHg$.$ At this point, someone uses an

EpiPen to inject epinephrine. Their blood pressure returns to normal within three

minutes after the injection and remains stable.

Use this information to set your $1-$D lookup table. Save this version of the model. In your script,

open and run your Simulink model. Print an image of your model and include it in a text section

of your code. Create a set of three subplots $($in a single column$)$ showing the steady state plots

for P OT $,$ RA $,$ and N vs$.$ time. Use the same line colors for each plot that you used for Variation $1$

and set your line width to $2.$

E$.$ Model Variation $2$ Analysis: Describe what occurs during anaphylaxis. Approximately how long

after the onset of anaphylaxis did it take for the partial pressure of oxygen in the tissue to drop

below the required value? What happened to the partial pressure of oxygen in the tissue upon

administration of epinephrine? Based on the plot, over which time ranges is cell death most

likely to occur and why? Where the feedback mechanisms activated for N and R A $?$ Why or why

not? If they were activated, was the maxima or minima reached, and if so how long did it take

to reach that point? If the feedback loop$($s$)$ was$/$were activated, how did this affect the P OT $?$

Answer these questions in a text section of your script.

F$.$ Model Variation $3$: To model sepsis$/$septic shock, you will use a ramp block, with an initial

output of normal arterial pressure and a slope of $-\mathrm{.}5.$ Set your simulation time to $140$ seconds

$($where $1$ second of model time represents $1$ minute of real time$).$ Save this version of the

model. In your script, open and run your Simulink model. Print an image of your model and

include it in a text section of your code. Create a set of three subplots $($in a single column$)$

showing the steady state plots for P OT $,$ RA $,$ and N vs$.$ time. Use the same line colors for each plot

that you used for Variation $1$ and set your line width to $2.$

G$.$ Model Variation $3$ Analysis: Describe what occurs during sepsis$/$septic shock. Approximately

how long after the onset of septic shock did it take for the partial pressure of oxygen in the

tissue to drop below the required value? Based on the plot, over which time ranges is cell death

most likely to occur and why? Where the feedback mechanisms activated for N and R A $?$ Why or

why not? If they were activated, was the maxima or minima reached, and if so how long did it

take to reach that point? If the feedback loop$($s$)$ was$/$were activated, how did this affect the

POT $?$ Answer these questions in a text section of your script.

answer all questions, providing matlab code and simulink diagrams.