Q.If a tissue has at a given time 1024 cells, how many cycles of mitosis had the original parental single cell undergone?

Since mitosis doubles the cell number with every division, the number of divisions the original cell went through can be found by counting how many doublings are needed to reach the observed total.

• Starting from a single parental cell, each mitotic cycle doubles the number of cells present.
• After 1 cycle: 2 cells. After 2 cycles: 4 cells. After 3 cycles: 8 cells. Continuing this doubling pattern up to 10 cycles gives 1024 cells. …

Mitosis is an equational division: a single parent cell splits into two daughter cells, each identical to the parent in chromosome content. If those daughter cells go on to divide again, and their daughters divide again, and so on, the total number of cells in the resulting tissue doubles with every completed cycle.

Starting from a single cell and doubling repeatedly:

• After 1 division: 2 cells
• After 2 divisions: 4 cells
• After 3 divisions: 8 cells
• After 4 divisions: 16 cells
• ...continuing this pattern, the cell count after n divisions is 2 raised to the power n. …

Method: Find n such that 2^n equals the final cell count

1. Mitosis doubles cell number each cycle, starting from 1 cell: 2^n cells after n cycles. …