Stochastic Multi-Step Cell Size Homeostasis Model
Published:Dec 29, 2025 20:57
•1 min read
•ArXiv
Analysis
This paper extends the understanding of cell size homeostasis by introducing a more realistic growth model (Hill-type function) and a stochastic multi-step adder model. It provides analytical expressions for cell size distributions and demonstrates that the adder principle is preserved even with growth saturation. This is significant because it refines the existing theory and offers a more nuanced view of cell cycle regulation, potentially leading to a better understanding of cell growth and division in various biological contexts.
Key Takeaways
- •Introduces a more realistic growth model (Hill-type function) to account for growth saturation.
- •Implements a stochastic multi-step adder model to capture the sequential nature of cell division.
- •Derives analytical expressions for cell size distributions.
- •Demonstrates that the adder principle is preserved even with growth saturation.
- •Analyzes the influence of growth saturation on single-cell size statistics and population variability.
Reference
“The adder property is preserved despite changes in growth dynamics, emphasizing that the reduction in size variability is a consequence of the growth law rather than simple scaling with mean size.”