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Immunotoxins are molecules designed to specifically kill cancer cells without damaging healthy noncancerous cells. Immunotoxins must accumulate inside cancer cells before they can be effective.

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Immunotoxins are molecules designed to specifically kill cancer cells without damaging healthy noncancerous cells. Immunotoxins must accumulate inside cancer cells before they can be effective. A start-up biotech company has discovered a new immunotoxin. The company is trying to raise venture capital. You are trying to decide if you should invest your millions. The start-up company provides the following data. The immunotoxin enters the typical cancer cell at a rate of 62,000 molecules per hour. Some of the immunotoxin is degraded inside the cancer cell by enzymes. The rate of degradation is estimated to be 2700 (1 - 2-0.36molecules degraded per hour, where t is time in hours since the cancer cell was first exposed to the immunotoxin. The cancer cell also spits out some of the immunotoxin; the rate of immunotoxin leaving the cancer cell is estimated to be 57,000 molecules per hour. You find independent scientific literature that indicates that for an immunotoxin to successfully kill a cancer cell, there must be an accumulation of at least 30,000 immunotoxin molecules inside the cell after 8 hours. Should you invest

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