放射性活度计算器 — 公式
## Cell Doubling Time
During exponential growth, cells divide at a constant rate. The doubling time is the time required for the population to double.
### Formulas
**Growth rate: k = ln(Nt/N0) / t**
**Doubling time: td = ln(2) / k**
**Generations: n = ln(Nt/N0) / ln(2)**
These formulas assume exponential (log-phase) growth without nutrient limitation or inhibition.
During exponential growth, cells divide at a constant rate. The doubling time is the time required for the population to double.
### Formulas
**Growth rate: k = ln(Nt/N0) / t**
**Doubling time: td = ln(2) / k**
**Generations: n = ln(Nt/N0) / ln(2)**
These formulas assume exponential (log-phase) growth without nutrient limitation or inhibition.
计算示例
A culture grows from 100,000 to 800,000 cells in 24 hours.
- k = ln(800000/100000) / 24 = ln(8) / 24 = 2.079 / 24 = 0.0866 h⁻¹
- td = ln(2) / 0.0866 = 0.693 / 0.0866 = 8.00 hours
- Generations = ln(8) / ln(2) = 3.00 doublings