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in project group im doing some in which I definately need your help.

Basically what Im 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 resistence 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

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# Logistic growth model for cell proliferation with agents

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