Logistic growth model for cell proliferation with agents

[Risclab]

Hello community,

in project group I am doing some in which I definitely need your help.
Basically what I am intending to do is to examine the cell proliferation
of cell of the colorectal carcinoma. The data I will receive is from
the xCELLigence system and generates so called cell indices, basically over
a resistance measurement. These are values for approximately 72 hrs with
the intervall of 5 minues. Meaning I would have about 864 cell indices.

In addition during the experiments inhibitors or stimulators will be added
on to the cells, resulting in a change of the growth.

However for the modelling via differential equation with the logistic model,
I would further need to include parameters for the strength of the agent
and maybe taking the half-life into consideration. Such that the growth can
be identified at every time.

So basically after treatment the growth curve could show 4 characteristics
in respect to the control:
1) curve shifts on the x-axis to the right (inhibition),
2) curve shifts on the x-axis to the left (stimulation), which is basically
a delayed growth and accerlerated grwoth.
-curve shifts on the y-axis up (stimulation)
-curve shifts on the y-axis down (inhibition)
resulting in a higher and lower growth rate during a curve.

Could I now just express a value for the agent and the half-life as part of an
exponential grwoth into the equation and do I need to distinguish between
inhibitor and stimulator? Or how can i express stagnation.
I have right now no clue how to approach this task. Hope somebody can give me hint
or literature?

Cheers
Rich

 

[Risclab]

Or maybe it is possible to ignore inhibition and stimulation?
After all I only need to derive a growth factor over a certain time intervall.
The difference I could calculate in reference to the control.
In this case the logistic function should be sufficient?