Question-03 A type of cancer has cells that grow exponentially. The cells can double their number in 2 hours if they get nutrition from blood. But as the number of cells increase, they start forming a solid spherical tumor which does not get enough blood supply. So after some time there is no more growth at the center of the tumor and the cells start to die. dN a) The growth of the cells can be modeled by the equation = Here N is the number of cells at any time and is a constant. Assume the first cancer cell has appeared and find the value of . Tumor b) Write an equation that will describe the rate of change of tumor volume during the exponential growth given that the diameter of an individual cell is 20 microns. (Assume the overall tumor and each cell inside it are spherical After the tumor reaches a diameter of 500 microns, the cells at the center start to die, but the still take up space inside the tumor. How long will it take to reach this critical size? c)