Math Biology Experiment: Analyzing Cell Turnover Rates in Different Ages

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SUMMARY

The discussion focuses on analyzing cell turnover rates at different ages, specifically comparing 0-day old and 6-week old cells. The researcher seeks to determine the appropriate mathematical model to quantify growth rates and turnover rates of cells at various ages. The age-structured population model is suggested as a potential approach to analyze the data effectively. The conversation highlights the importance of selecting the right mathematical framework to interpret biological data accurately.

PREREQUISITES
  • Understanding of mathematical modeling in biology
  • Familiarity with age-structured population models
  • Basic knowledge of cell biology and turnover rates
  • Experience with data analysis techniques
NEXT STEPS
  • Research age-structured population models in mathematical biology
  • Explore statistical methods for analyzing growth rates
  • Learn about differential equations in biological contexts
  • Investigate software tools for modeling biological data, such as R or MATLAB
USEFUL FOR

Mathematicians, biologists, and researchers interested in mathematical modeling of biological processes, particularly those studying cell growth and turnover rates.

csb
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Hi all, first of all I apologise if my question is not supposed to be in this thread.
I am a fledgling mathematician, currently doing research on math biology.
So, I have an experiment to determine the fate of cells at certain age (see attached fig). Basically, we would like to know if we could find any differences between 0-day old cell, 6-week old cell, 12-week old cell, etc. I am particularly interested in turnover rate (growth rate) of that cell.

Attached is the sample data for 0-day old and 6-week old cell. So, what kind of mathematical model should I use to quantify this data ? I know that the variable of interest here are the age of the cell and time, but I'm not sure should I use the age structured population model ?

Thanks
 

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