Volume 27, Issue 18, Pages e3 (September 2017)

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Volume 27, Issue 18, Pages 2774-2783.e3 (September 2017) The Adder Phenomenon Emerges from Independent Control of Pre- and Post-Start Phases of the Budding Yeast Cell Cycle  Devon Chandler-Brown, Kurt M. Schmoller, Yonatan Winetraub, Jan M. Skotheim  Current Biology  Volume 27, Issue 18, Pages 2774-2783.e3 (September 2017) DOI: 10.1016/j.cub.2017.08.015 Copyright © 2017 Elsevier Ltd Terms and Conditions

Figure 1 Single-Cell Measurements Do Not Support a Mechanistic Adder in Budding Yeast (A) Schematic illustrating the first cell cycle of “daughter” cells. (B) Representative fluorescence and phase-contrast images highlighting key events during the cell cycle. Daughter cell segmentation is shown in white. White arrows indicate Whi5-mCherry nuclear exit marking Start. Red arrows show the growing bud/newborn daughter. Scale bars represent 10 μm. (C) Cell growth in daughter cells during the entire cell cycle as a function of birth mass (in arbitrary units, AU; n = 165). Dashed line shows fit assuming constant added mass, ΔM. (D) Post-Start growth is weakly correlated with pre-Start growth (solid line shows linear fit; R = 0.32, n = 165). Linear anticorrelation with slope −1 would be expected from an ideal mechanistic adder (dashed line). (E) Schematic illustrating proposed adder models implemented between subsequent budding events. Green indicates the mass included in each model. The table shows predictions from the bud-to-bud adder model and the model from Soifer et al. [16] for the mass at bud emergence. Mbudem. abbreviates mass at bud emergence, Mbudemergence. (F) Mass at bud emergence as a function of birth mass (n = 165). Predictions are shown for a bud-to-bud adder model (orange) and the model proposed in [16] (blue). All error bars represent binned means ± SE. See also Figure S1. Current Biology 2017 27, 2774-2783.e3DOI: (10.1016/j.cub.2017.08.015) Copyright © 2017 Elsevier Ltd Terms and Conditions

Figure 2 Pre-Start Size Control Is Recapitulated by a Model Based on a Mass-Dependent Rate of Passing Start (A) Schematic illustrating pre-Start G1 in daughter cells. Whi5-mCherry (red) nuclear exit defines passage through Start. (B) Logistic regressions identify cell size (volume or mass) as the major predictive parameter for passage through Start. Deviance measures how much of the data is not explained by the model (see STAR Methods). (C) The rate at which cells pass Start is shown as a function of cell mass (blue, ±SE). A linear fit (red) is used in the model. (D) The growth rate of daughter cells (amount of growth between two frames, 3 min) is shown as a function of cell mass (blue, ±SE). A linear fit, as expected from exponential growth, is shown in red. (E) Cell mass at Start is shown as a function of birth mass (blue, ±SD). Model prediction is shown in red (±SD; n = 165). (F) Marginal distributions of mass at Start conditioned on birth mass from (E) showing data (blue) and model (red). SD is estimated from 10,000 bootstraps of the data. See also Figure S2 and Table S1. Current Biology 2017 27, 2774-2783.e3DOI: (10.1016/j.cub.2017.08.015) Copyright © 2017 Elsevier Ltd Terms and Conditions

Figure 3 A Model for Post-Start Cell-Cycle Progression (A) Schematic illustrating post-Start cell-cycle phases in daughter cells. Whi5-mCherry (red) re-enters the nucleus prior to cell division. (B) Logistic regressions identify bud mass and cell mass at Start as the major predictive parameters for cell division (cell separation). Deviance measures how much of the data is not explained by the model (see STAR Methods). (C) The rate at which post-Start daughter cells divide as a function of bud mass (blue, ±SE; n = 165). Cells are binned according to mass at Start. A two-dimensional linear fit is used for the model (n = 165). Average cell mass at Start of cells in each bin was used to show the corresponding fit (red). (D) Cell mass at division as a function of mass at Start (blue; n = 165). Model prediction is shown in red (±SD). (E) Marginal distributions of mass at division conditioned on mass at Start from (D) showing data (blue) and model (red). SD is estimated from 10,000 bootstraps of the data. See also Figure S3 and Table S1. Current Biology 2017 27, 2774-2783.e3DOI: (10.1016/j.cub.2017.08.015) Copyright © 2017 Elsevier Ltd Terms and Conditions

Figure 4 Full Cell-Cycle Model Based on Independent Regulation of Pre- and Post-Start Periods Recapitulates Single-Cell Data (A) Schematic illustrating full cell-cycle model. Pre- and post-Start periods are defined by Whi5-mCherry nuclear export (red), bud emergence, and cell separation. (B) Cumulative distribution of cell masses in a steady-state population (blue, 95% confidence bounds) (n = 643). Model prediction is shown in red. (C) Full cell-cycle growth as a function of birth mass (blue, ±SD) (n = 165). Model prediction is shown in red (±SD). (D) Full cell-cycle model recapitulates the weak correlation between growth during the pre- and post-Start periods (red; R = 0.25, slope = 0.28, p < 1e−10). Linear fit to the data is shown in blue (±SD of the fit from 10,000 bootstraps of the data; R = 0.32, slope = 0.41, p < 1e–4). Dashed line shows the prediction of an ideal mechanistic adder. See also Figure S4. Current Biology 2017 27, 2774-2783.e3DOI: (10.1016/j.cub.2017.08.015) Copyright © 2017 Elsevier Ltd Terms and Conditions

Figure 5 Analytical Model Shows that the Adder Phenomenology Depends on Pre-Start G1 Control The rate of progression through Start as fit to data (A) results in declining growth as a function of birth mass pre-Start (E) and an adder over the full cell cycle (I). If kpre is size independent (B), proportional to cell mass (C), or weakly size dependent (D), it results in different patterns of growth pre-Start (F, G, and H, respectively). As a consequence, growth over the full cell cycle does not exhibit adder behavior, (J, K, and L, respectively). For each scenario, the same experimentally determined growth and division rates (Figure 3) are used to model the post-Start period of the cell cycle. See also Figure S5. Current Biology 2017 27, 2774-2783.e3DOI: (10.1016/j.cub.2017.08.015) Copyright © 2017 Elsevier Ltd Terms and Conditions

Figure 6 Deletion of the G1 Cyclin CLN3 Breaks the Adder (A) The rate at which cells progress through Start as a function of cell volume for wild-type (blue; n = 394) and cln3Δ (green; n = 197) cells. (B) Growth during the pre-Start period as a function of birth volume. (C) Growth during the full cell cycle as a function of birth volume. All error bars represent binned means ± SE. See also Figure S6. Current Biology 2017 27, 2774-2783.e3DOI: (10.1016/j.cub.2017.08.015) Copyright © 2017 Elsevier Ltd Terms and Conditions