2022
DOI: 10.1101/2022.08.01.502021
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Cell size scaling laws: a unified theory

Abstract: The dimensions and compositions of cells are tightly regulated by active processes. This exquisite control is embodied in the robust scaling laws relating cell size, dry mass, and nuclear size. Despite accumulating experimental evidence, a unified theoretical framework is still lacking. Here, we show that these laws and their breakdown can be explained quantitatively by three simple, yet generic, physical constraints defining altogether the Pump and Leak model (PLM). Based on estimations, we clearly map the PL… Show more

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Cited by 8 publications
(10 citation statements)
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“…Mass density of protein and lipid in various compartments changes very little with cell size in proliferating cells ( Figures 2 , 3 ), suggesting that total metabolites are generally proportional to cell dry mass during cell growth ( Rollin, Joanny and Sens, 2022 ). However, this proportionality may not hold when protein synthesis, protein degradation, or global regulators of growth and degradation like mTOR activity are administered.…”
Section: Resultsmentioning
confidence: 99%
“…Mass density of protein and lipid in various compartments changes very little with cell size in proliferating cells ( Figures 2 , 3 ), suggesting that total metabolites are generally proportional to cell dry mass during cell growth ( Rollin, Joanny and Sens, 2022 ). However, this proportionality may not hold when protein synthesis, protein degradation, or global regulators of growth and degradation like mTOR activity are administered.…”
Section: Resultsmentioning
confidence: 99%
“…Such cell treatments may also modify the activity of different ion pumps and the composition of trapped osmolytes, including the ratio V m /V d . For example, the same mass of trapped molecules (e.g., amino acids) with the same value of V d can either be bound in large macromolecules or be mobile (larger contribution to N ) [27]. This implies that the value of V m /V d may change due to cell starvation and synchronization that alter protein synthesis rates.…”
Section: Discussionmentioning
confidence: 99%
“…We estimate the cell volume V ( t ) as proportional to the sum of all proteins, namely - V ( t ) = α ∑ P i ( t ), having α as the mean volume a single protein occupies [14]. This leads to: …”
Section: Supplementary Notesmentioning
confidence: 99%
“…We can now write the rate equations for both the ribosome number and the volume: where we assumed that the degraded ribosomes do not decrease the cell volume, as their components remain part of the cell dry mass [4]. Following the same steps as done previously (Supplementary Note 1.3), one can get an expression for the ribosome concentration: where we defined , which represents the low steady-state ribosome concentration in long times (relative to r 0 ).…”
Section: Supplementary Notesmentioning
confidence: 99%