How Can a Mathematical Formula be Set Up for Tumor Cell Growth?

[Purgum]

If a tumor cell grows with rate m, and dies with rate n (m>n), their population number is P, after tme t, how can set up a mathematical fomuler for growth ? If i also have data from 100 patients, is it useful ?
Thanks

 

[quetzalcoatl9]

If a tumor cell grows with rate m, and dies with rate n (m>n), their population number is P, after tme t, how can set up a mathematical fomuler for growth ? If i also have data from 100 patients, is it useful ?
Thanks

the logistic equation:

http://en.wikipedia.org/wiki/Logistic_function

 

[ravenprp]

for your question. To set up a mathematical formula for the growth of tumor cells, we can use the following equation:

P(t) = P0 * e^(mt) - (P0 - P0 * e^(mt)) * e^(nt)

Where P(t) is the population number of cancer cells at time t, P0 is the initial population number, m is the growth rate, and n is the death rate. This equation takes into account both the growth and death of the cancer cells over time.

Having data from 100 patients can be useful in understanding the growth and progression of the tumor cells. By analyzing the data, we can determine the average growth and death rates, as well as any patterns or trends in the growth of the tumor cells. This information can be used to develop more accurate mathematical models and potentially improve treatment strategies for cancer patients. Additionally, studying the data from multiple patients can also help us identify any factors that may affect the growth of tumor cells, such as age, lifestyle habits, or genetics. Overall, having data from 100 patients can provide valuable insights into the growth of cancer cells and aid in the development of effective treatment plans.