Schematic drawing of relationships among the various dimensions as predicted by the Length and Volume models

Subpopulations of cells of equal length or volume at birth and at division are shown as Gaussian distributions with similar coefficients of variation; correlations are represented in the form of regression lines. For the total population, the regression lines are projected onto the appropriate D–V or D–L planes. (a) In the Length model, length L is kept constant at two cell-cycle events L₁ and L₂. This leads to two volume-subpopulations (solid bell-shaped curves) in which the correlation between D and V is positive, as indicated by the two heavy convex curves. In length-subpopulations of cells of the same volume (dashed bell-shaped curves), there is a negative correlation between D and L (short dashed lines at L₁ and L₂). In the total population, the negative correlation between D and L is represented by the heavy sloping straight line projected onto the D–L plane. The positive correlation between D and V is shown by the long dashed concave line projected onto the D–V plane. (b) In the Volume model, V is kept constant at two cell-cycle events indicated by V₁ and V₂. This leads to two length-subpopulations (solid bell-shaped curves) in which the correlation between D and L is negative, as indicated by the two heavy concave curves. In the volume-subpopulations of cells of the same length (dashed bell-shaped curves), there is a positive correlation between D and V (short dashed lines at V₁ and V₂). In the total population, the negative correlation between D and L is shown by the long dashed concave line projected onto the D–L plane. The lack of correlation between D and V is represented by the heavy horizontal line projected onto the D–V plane. The curvature of each non-linear regression line is displayed with its correct sign, but magnitudes have been exaggerated for purposes of illustration. Slopes are not to scale.

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