Universal principles of cell population growth follow from local contact inhibition
Year: 2026
Type: article
Abstract: Cancer cell populations often exhibit remarkably similar growth laws despite their heterogeneity. Explanations of universal cell population growth remain partly unresolved to this day. Here, we present a growth-law unification by investigating the connection between the microscopic assumptions that affect the expected contact inhibition leading to five classical tumor growth laws: exponential, radial growth, fractal growth, generalized logistic, and Gompertzian growth. All five can be seen as manifestations of a single microscopic model. Agent-based simulations substantiate our theory, and we can explain differences in growth curves in experimental data from in vitro cancer cell population growth. Thus, our framework offers a possible explanation for many mean-field laws used to empirically capture seemingly unrelated cancer or microbial growth dynamics. Our results highlight that the interplay between contact inhibition and other assumptions (e.g., well-mixed) can influence our quantitative understanding of how cancer cells grow and, in turn, how they may interact.
Source: iScience
Authors: Gregory J. Kimmel, Sadegh Marzban, Mehdi Damaghi, Arne Traulsen, Alexander R.A. Anderson, Jeffrey West, Philipp M. Altrock
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,240
OpenAlex ID: W3193295160
