Cancerous cell lacks normal biological growth regulation and can divide continuously. Assume single mouse skin cell is cancerous and its mitotic cell cycle (time for cell to divide once) is 20 hours. Number of cells at time t grows according to exponential model.
(a) Determine the formula C(t) for number of cancerous skin cells after t hours
(b) Suppose the typical mouse skin cell is spherical of radius 50 × 10?4 cm.
Compute combined volume V(t) of all cancerous skin cells after t hours. When will volume of cancerous cells be 1 cm3?