BEE 4530/MAE 4530 Tutorial 2 (Case Studies VII and IX in text): Due Feb. 13, 2009 class time Go through the case studies and submit the materials asked for. Each student needs to submit this individually. Color plots are not necessary. What to submit for Case Study VII: Radioimmunotherapy of Metastatic Melanoma 1) How many Governing Equations are you solving and for what variables? 2) What are the boundary conditions at the distance far away from the tumor and what is the reason for this? Can another boundary condition be used here? 3) In page 285, the table of expressions all have the factor r*r multiplied to each entry. What is the reason for this? Follow the instructions given below and submit printouts for the following: 4) Plot the Antigen concentration in the computational domain after 3 days i. After running the problem, go to Postprocessing >> Plot Parameters >> Line Tab ii. In the Predefined quantities box, select Diffusion(di2) >> Concentration, c2 iii. Click OK iv. Describe the plot as you go from r = 0 to r = 0.13 (Tumor region only). Can you think of a reason why this is so? (Hint: consider where the antibody enters the tumor and the relative concentrations of antibody and antigen). Based on this, do you think that the antibody treatment worked? Why or why not? 5) Re-run the problem but this time use an antibody concentration of 3,000 nM instead of 4 nM. Submit the new plot of antigen concentration vs, r-position and compare with that obtained in 4 (iv). BEE/MAE4530Tutorial2 Page1 of 2What to submit for Case Study IX: Radio-frequency Cardiac Ablation* 1) Is there another way to solve the voltage equation (Eq. 6.23)? 2) Why do you think that the domain size chosen is appropriate, i. e., large enough? Follow the instructions given below and submit printouts for the following. The questions are only for the defined mesh section of the Case Study (first solution presented) 3) Obtain the Contour plot of temperature for the entire geometry with user-specified labels after 60 s i. After running the problem, go to Postprocessing >> Plot Parameters >> General Tab ii. In the Plot type section on the left uncheck Surface and check the Contour box. iii. Go to the Contour tab >> Contour data. In the Predefined quantities box, select Heat Transfer by Conduction (ht) >> Temperature. Choose °C in the Unit box. iv. In the Contour levels section, turn on the Vector with isolevels button and type 38 40 45 50 55 60 70 in the box. These are the isotherms that will be displayed in the plot. Check the box beside Labels. Click OK. v. Plot temperature vs. time for the point (.0013, .0075). (Refer to Case Study I, p. 202 on how to obtain plots at a point). Save the data for this plot in an Excel file. You do not need to submit this plot at this point since you will be comparing this with the case where the blood perfusion term is not used (item 5 below). 4) Run the same problem but without the blood perfusion term (set Q_blood = 0). Plot temperature vs. time for the point (.0013, .0075). Save the data for this plot in an Excel file. Make a single figure showing the temperature vs. time plot for this point with (item 3 (v.) above) and without the blood perfusion term. Compare the two graphs. *The blood perfusion term given in pages 306 & 310 are not quite right. The correct equation is Q_blood = 2000*(310.15 – T). BEE/MAE4530Tutorial2 Page2 of