I am seeking statistical support for the following bacterial growth time series.
In the lab, we have cell cultures growing in bioreactors. Every day we measure the concentration in mmol-1 of a set of metabolites and amino acids in the media with a cell culture analyser.
Some metabolites are consumed by the cells and some are produced during the time-course of the culture. Along with this, we also count the number of cells every day to calculate the cell growth dynamics.
We wish to assess the relationship between the consumption or production of any of these compounds and cell growth. For example, if the consumption of a specific metabolite from the media has a significant effect on increasing the cell count and would assist media formulation.
One measurement per day is taken over four consecutive days from multiple bioreactors.
What kind of analysis is would be appropriate?