4. A patient undergoes serial MRI scans at different time po…

4. A patient undergoes serial MRI scans at different time points to track the progression of a brain tumor. Due to slight variations in patient positioning, image registration is required to align the scans properly before analysis. 4.1 If the image is rotated by 30 degrees after the treatment, will all pixels still align perfectly with the original grid coordinates? (If yes, explain why. If no, explain why not.) If not, how do we determine the intensity values for the new off-grid pixel coordinates? (Answer this question using the method name) 4.2 As we know, image interpolation is necessary for some image registration tasks. Demonstrate how to calculate the pixel value using bilinear interpolation for a given yellow pixel in Figure 5(B). 4.3 We know that the following equation (Eq.1) is useful for affine transformation of an image. Given that a point in an image with coordinates (2,0) is found at the new coordinate (0,2) after an affine transformation, please provide one possible solution of possible transformation matrices under the assumption that e=0 and f=0. 4.4 You still have one point at (5, 2). Use your transformation matrix calculated in 4.3, assuming that e=2, and f=3, what will be the new coordinate of (5,2) after your transformation?

This is a short answer question regarding biotechnology, hor…

This is a short answer question regarding biotechnology, horizontal gene transfer, and gene expression.  Be complete & specific as possible with your answer for full credit.  Biorad scientists created a pGlo plasmid using recombinant DNA technology. This pGlo plasmid contained an ampicillin resistance gene and placed the jellyfish green fluorescent protein gene (GFP) under the control of the arabinose operon.  The green fluorescent protein glows green under UV light.  The SCC microbiology students took this genetically engineered pGlo plasmid and transformed Escherichia coli.  The students placed a portion of the bacteria from the control tube and the experimental tube onto the appropriate media types as shown in the photo.  (legend:  LB = nutrient medium; +Amp = contains ampicillin; +Ara= contains arabinose).   The top two plates were controls 1) showing that the bacteria were alive after being treated with the transformation chemical and heat shocking, and 2) the antibiotic, ampicillin, was indeed effective against the bacteria used in this experiment.  What information can be gained from the bottom two plates in this experiment? When answering this question, 1) identify the plate by media type then 2) describe what information was gained from it and the reason behind your answer.