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Cell cycle models and mother-daughter correlation.

G Hejblum1, D Costagliola, A J Valleron

  • 1Unité de Recherches sur les Peptides Neutrodigestifs et le Diabète, INSERM U-55, Hopital St-Antoine, Paris, France.

Journal of Theoretical Biology
|March 21, 1988
PubMed
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This study introduces a mathematical method to predict mother-daughter cell cycle correlations from models. It explains how variations in G1 phase duration can influence these correlations, reconciling experimental discrepancies.

Area of Science:

  • Cell biology
  • Mathematical modeling
  • Quantitative biology

Background:

  • Cell cycle duration (Tc) variability is experimentally measured using features like mother-daughter correlation.
  • Contradictory experimental results (positive, null, negative) for mother-daughter correlation pose challenges for unified cell cycle modeling.
  • Mathematical models aim to provide a general view of cell cycle control.

Purpose of the Study:

  • To present a method for deriving predicted mother-daughter cell cycle correlations from mathematical models.
  • To enable comparison of model-predicted correlations with experimental data.
  • To investigate the influence of model parameters on correlation values.

Main Methods:

  • Developed a method to calculate predicted mother-daughter Tc correlations from analytical model expressions.

Related Experiment Videos

  • Utilized exact calculation for linear combinations of parameters.
  • Employed Taylor series expansion for approximate correlation calculations.
  • Applied the method to Koch's Growth Controlled model and Cooper's Continuum model.

    • Main Results:

    • The method successfully predicts mother-daughter Tc correlations for different models.
    • Koch's model consistently yields negative correlations.
    • Differences in mean G1 phase duration explain variations in the sign of the correlation in Cooper's model.
    • The method is applicable to other correlations, such as sibling cell Tc correlations.

    Conclusions:

    • The proposed method provides a framework for reconciling theoretical predictions with experimental observations of cell cycle duration correlations.
    • Model-specific parameters, like G1 phase duration, are crucial for understanding the sign and magnitude of mother-daughter correlations.
    • This approach can advance the development of unified theories of cell cycle control.