Control of the Restriction Point by Rb and p21.

The Restriction Point was originally defined as the moment that cells commit to the cell cycle and was later suggested to coincide with hyperphosphorylation of the retinoblastoma protein (Rb). Current cell cycle models posit that cells exit mitosis into a pre-Restriction Point state, where they have low cyclin-dependent kinase (CDK) activity and hypophosphorylated Rb; passage through the Restriction Point then occurs in late G1. Recent single-cell studies have challenged the current paradigm, raising questions about the location of the Restriction Point and the notion that cells exit mitosis into a pre-Restriction Point state. Here, we use a variety of single-cell techniques to show that both noncancer and cancer cells bifurcate into two subpopulations after anaphase, marked by increasing vs. low CDK2 activity and hyper- vs. hypophosphorylation of Rb. Notably, subpopulations with hyper- and hypophosphorylated Rb are present within minutes after anaphase, delineating one subpopulation that never "uncrosses" the Restriction Point and continues cycling and another subpopulation that exits mitosis into an uncommitted pre-Restriction Point state. We further show that the CDK inhibitor p21 begins rising in G2 in mother cells whose daughters exit mitosis into the pre-Restriction Point, CDK2low state. Furthermore, degradation of p21 coincides with escape from the CDK2low state and passage through the Restriction Point. Together, these data support a model in which only a subset of cells returns to a pre-Restriction Point state after mitosis and where the Restriction Point is sensitive to not only mitogens, but also inherited DNA replication stress via p21.

A map of protein dynamics during cell-cycle progression and cell-cycle exit.

The cell-cycle field has identified the core regulators that drive the cell cycle, but we do not have a clear map of the dynamics of these regulators during cell-cycle progression versus cell-cycle exit. Here we use single-cell time-lapse microscopy of Cyclin-Dependent Kinase 2 (CDK2) activity followed by endpoint immunofluorescence and computational cell synchronization to determine the temporal dynamics of key cell-cycle proteins in asynchronously cycling human cells. We identify several unexpected patterns for core cell-cycle proteins in actively proliferating (CDK2-increasing) versus spontaneously quiescent (CDK2-low) cells, including Cyclin D1, the levels of which we find to be higher in spontaneously quiescent versus proliferating cells. We also identify proteins with concentrations that steadily increase or decrease the longer cells are in quiescence, suggesting the existence of a continuum of quiescence depths. Our single-cell measurements thus provide a rich resource for the field by characterizing protein dynamics during proliferation versus quiescence.

Ki67 is a Graded Rather than a Binary Marker of Proliferation versus Quiescence.

Ki67 staining is widely used as a proliferation indicator in the clinic, despite poor understanding of this protein's function or dynamics. Here, we track Ki67 levels under endogenous control in single cells over time and find that Ki67 accumulation occurs only during S, G2, and M phases. Ki67 is degraded continuously in G1 and G0 phases, regardless of the cause of entry into G0/quiescence. Consequently, the level of Ki67 during G0 and G1 in individual cells is highly heterogeneous and depends on how long an individual cell has spent in G0. Thus, Ki67 is a graded rather than a binary marker both for cell-cycle progression and time since entry into quiescence.

Extension of discrete tribocharging models to continuous size distributions.

Triboelectric charging, the phenomenon by which electrical charge is exchanged during contact between two surfaces, has been known to cause significant charge separation in granular mixtures, even between chemically identical grains. This charging is a stochastic size-dependent process resulting from random collisions between grains. The prevailing models and experimental results suggest that, in most cases, larger grains in a mixture of dielectric grains acquire a positive charge, while smaller grains charge negatively. These models are typically restricted to mixtures of two discrete grain sizes, which are not representative of most naturally occurring granular mixtures, and neglect the effect of grain size on individual charging events. We have developed a model that predicts the average charge distribution in a granular mixture, for any continuous size distribution of dielectric grains of a single material. Expanding to continuous size distributions enables the prediction of charge separation in many natural granular phenomena, including terrestrial dust storms and industrial powder handling operations. The expanded model makes predictions about the charge distribution, including specific conditions under which the usual size-dependent polarity is reversed such that larger grains charge negatively.