Auxin concentration control of the average DNA content in cells of in vitro cultures: a theoretical model and comparison to experimental data for Allium cepa and Allium sativum

A theoretical model explaining the average DNA content in cells of in vitro cultures as a function of concentration of auxin 2,4-D in medium is provided. The model assumes influence of auxin on the functioning of the main G1/S and G2/M control points of the cell cycle. Theoretical results are compared to experimental data obtained from the callus cultures of Allium sativum and Allium cepa conducted during 18 months. Adaptation of the model to explanation of the shape of the dose–response curves is suggested and successfully verified for the example of Nicotiana tabacum cultures.