On distinguishability among cell-division models based on population and single-cell-level distributions

Vikas; Rahul Marathe; Anjan Roy

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arXiv · 2510.24169

On distinguishability among cell-division models based on population and single-cell-level distributions

Vikas·Rahul Marathe·Anjan Roy

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Abstract

It is well known that the different cell-division models, such as Timer, Sizer, and Adder, can be distinguished based on the correlations between different single-cell-level quantities such as birth-size, division-time, division-size, and division-added-size. Here, we show that other statistical properties of these quantities can also be used to distinguish between them. Additionally, the statistical relationships and different correlation patterns can also differentiate between the different types of single-cell growth, such as linear and exponential. Further, we demonstrate that various population-level distributions, such as age, size, and added-size distributions, are indistinguishable across different models of cell division despite them having different division rules and correlation patterns. Moreover, this indistinguishability is robust to stochasticity in growth rate and holds for both exponential and linear growth. Finally, we show that our theoretical predictions are corroborated by simulations and supported by existing single-cell experimental data.

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Vikas, Rahul Marathe, Anjan Roy. 2025-10-28. On distinguishability among cell-division models based on population and single-cell-level distributions. https://arxiv.org/abs/2510.24169

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