See Attachment and it does need a simulink model and matlab script attached to solution. Thank you looking if you may need more time or credits let me know

Immune System Steady-State Simulation

The problem is describing the immune response triggered by encountering foreign antigens. This response is called the CTL (Cytotoxic T Cell) response. Suppose that (z), which are CTL Cells, eliminates infected cells. There are 4 variables: unifected cells (x), infected cells (y), free virus particles (v) and CTL cells (z). The equations are:
x'=λ-dx-Bxv
y'=Bxv-ay-pyz
v'=ky-uv
z'=c-bz

For this problem I am to create a Simulink Model and Matlab script using the following variables:
λ=1; d=0.01; a=0.05; B=0.005; p=1; k=50; u=5; b=0.05.

Problem 1) Let c=0. If c=0 then this will produce no CTL response. This basically gives an example of what would happen if there was no immune system. Make a Simulink model representing this simulation and determine the steady-state value by running the simulation and by running the "trim" function in matlab. The variables are:

x(0)=10;
y(0)=1;
v(0)=1;
z(0)=0
** These are the initial conditions inside the integrator block in Simulink

Problem 2) Go back to "Part 1" and linearize the system using the "linmod" function in matlab around the steady-state result from "Part 1"

Notes:
*** I have been working on this problem for some time and still having problems. I am having problems with my Simulink model, so I really need help on that one. I ran model with a step response of 0. The research that I have done on using the "trim" function, show that my trim function should look something similar to [vss,u,y,dx]=trim('CTLprob','[xinit,yinit,vinit,zinit]'). CTLprob is the name of my simulink model in this particular case. In Problem 2), I expect the [A,B,C,D]= linmod('CTLprob',vss,[])?? Vss is the column vector of the steady state values and I just need to find the matrices of A,B,C & D. I really need help on powering through this problem if you can help.

**If you think you have a better way of solving Problem 1 or 2 than what I described above, by all means help.

Consider the following system in Fig.2 (see attached file). Determine the steady state error for unit ramp input. What will be the effect of B and K on steady-state error?

Consider the system given by the following transfer function:
H(s)= (242.5(s+8)/((s+2)[((s+4)^2)+81](s+10))
a. Identify the poles and zeros of the system. You may use MATLAB to help you with this if you would like.
b. Is the system stable? Why or why not?
c. Determine the steady-state value for the step response.
d. Use S

Please see attachment for question.
A small factory consists of a machining center and inspection station in series. Unfinished parts arrive to the factory with exponential times having mean of 2 minutes. Processing times at the machine are uniform on the interval [0.75, 0.80] minutes, and subsequent inspection times at the

A countries production function is Y=5K^.5 L^.5
Assume that the rate of depreciation as well as the rate of saving are each .10. Also assume that there is no technological nor population growth.
A. What is the steady state level of capital per worker?
B. What is the steady state level of output per worker?
C. Suppose that t

The steady-state solution of stable systems is due to simple pole in the j-Omega axis of the s-plane coming from the input. Suppose the transfer function of the system is
H(s) = Y(s)/X(s) = 1 / [(s+1)^2 + 4]
(a) Find the poles and zeros of H(s) and plot them in the s-plane. Find then the corresponding impulse response h(t

Problem 1:
Consider the closed-loop transfer function
T(s) = 10K/(s2 + 20s + K)
1. Obtain the family of step responses for K=10, 100, and 500. Co-plot the responses and develop a table that includes the following:
a. Percent overshoot
b. Settling time
c. Steady-state error.
Figure 1
Problem 2:
A negat

True/False
Indicate whether the sentence or statement is true or false.
______ 1. In computer mathematical simulation, a system is replicated with a mathematical model that is analyzed with the computer.
______ 2. Random numbers generated by a mathematical process instead of a physical process are pseudorandom numbe

Just before the switch is opened at t=0, the current through the inductor is 1.70 mA in the direction shown in figure (PLEASE SEE ATTACHMENT). Did steady-state conditions exist just before the switch was opened?
L = 0.9 mH;
R1 = 6k Ohm;
R2 = 6k Ohm;
R3 = 3k Ohm;
Vs = 12V

Solve the following linear, first-order differential equations and ensure that the initial conditions are satisfied. Show whether or not the steady-state solutions are stable.
(a) 10y' = 5y and y(0) = 1. The answer is y(t) = e^(1/2t), but having trouble arriving at that answer
(b) 4y' - 4y = -8 and y(0) = 10. The answer