Radioimmunotherapy is a cancer treatment in which radioactive atoms are attached to
Chapter 10, Problem 6(choose chapter or problem)
Radioimmunotherapy is a cancer treatment in which radioactive atoms are attached to tumor-specific antibody molecules and then injected into the blood. The antibody molecules then attach only to tumor cells, where they then deliver the cell-killing radioactivity. The following model for this process was introduced in Example 10.1.1: dx1 dt 2ax1 2 bx1 dx2 dt bx1 2 cx2 where x1 denotes the amount of antibody in the blood and x2 the amount of antibody taken up by the tumor (both in mg). All constants are positive. (a) Find the general solution. (b) Suppose that x1s0d x0 and x2s0d 0. What is the solution to this initial-value problem?
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