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You have designed a chemotaxis model to measure cell flux in response to a chemokine concentration gradient. Your design consists of a Petri dish filled with agar gel that has two rectangular holes cut in it (see diagram). In one hole, you add tumor necrosis factor (TNF-D) at a concentration of 10 µg/ml. In the other hole, you add 106 leukocytes/ml. Assume that the concentrations do not change significantly evenwhen the system reaches steady state.
a) Assume that the partition coefficient at the boundary of agar and saline is 1.0 for TNF-D. Write an expression for the concentration profile of TNF-D in agar along the x-axis at steady state.]
b) The leukocytes migrate up the chemokine (TNF-D concentration gradient from one well to the other with a random motility coefficient (essentially, an effective diffusion coefficient for cell migration) of 1.4×10-7 cm2 /s. Assuming steady state, estimate the cell flux relative to fixed coordinates.
c) Estimate a mass transfer coefficient for cell migration through the agar gel.
d) Explain briefly how your analysis would change if you do not assume that you have already reached steady state. Would your estimated value for mass transfer coefficient from part (c) remain constant? Explain why or why not.
ENMIN 5140 Determine the rms torque and power for this system and determine the variation of the power at the drive shaft for this system assuming a constant radius of coiling of the rope on the drum
Formulate a linear programming model for the above distribution management problem. Define your decision variables and the notation you use for them, express the objective and objective function, and constraints using your decision variables.
Describe the above system as a queueing system by defining - Explain if the above queueing system satisfies the following criteria by showing your calculations for each criterion.
Determine the cumulative exposure in WLM for that week - Determine the rate of emanation and determine the air cooling power and basic effective temperature
Design at least four broadcast protocols for a cube system with 8 nodes using message-passing, shared-memory and mobile agent communication models
Remember that you studied several methods in class to break a complicated rational function of S into simpler rational functions of S. You can use any of these methods or a combination of them here. Also note that Matlab is good in solving a set..
For Vid = 0, find the bias current in each of Q1, Q2, Q3, Q4, Q14, Q9, and Q10. Also, for the dc voltages shown, and assuming Vtn =|Vtp |= 0.45 V and that all conducting devices are operating at |VOV | = 0.15 V, show that Q12 and Q13 will be cut o..
Select any passenger or F1 race car, collect data from the web information, Identify all the parameters to work out the speed of 0-100 KM/Hr in 7 seconds and 4 seconds for Passenger and F1 race car respectively.
Consider the sinusoidal voltage and current v(t) = 120 sin(120πt) V and i(t) = 20sin(120πt + 60o) A.
Figure is a sketch of an aspirator, a simple device that can be used to achieve a partial vacuum in a reservoir connected to the vertical tube at B. An aspirator attached to the end of a garden hose may be used to deliver soap or fertilizer from t..
What is the largest value of n so that P(Y > 0) = 0.02 and briefly explain why the Bernoulli process assumptions might not hold here.
What is the Nyquist frequency for this example. Try different values of the sampling frequency and examine the effect on the spectrum of the signal.
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