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Emergence of population growth laws from single-cell behavior

Establish a detailed quantitative understanding of how population-level growth laws emerge from single-cell proteome allocation and division dynamics, including the precise forms of synthesis fluxes and the applicability of the first growth law at the single-cell level.

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Background

The unified growth-division framework connects sector models to division timing, but translating single-cell dynamics into population growth laws is unresolved.

Solving this open problem would bridge microscopic and macroscopic scales and strengthen predictive models.

References

Importantly, we are assuming Eq.~eq:micro, which has been largely discussed for population averages, holds for single cells. However, both the precise forms of the synthesis fluxes and the applicability of the first growth law at the single-cell level remain unresolved. In other words, a detailed understanding of the emergence of population growth laws from single cells is an open problem.

The Hands-On Growth Laws Theory Cookbook (2507.19194 - Droghetti et al., 25 Jul 2025) in Section 9, INGREDIENTS AND RECIPES