36 citations · 56 across the 6 of their papers we have counts for
6 papers
Criticality in the Luria-Delbrück model with an arbitrary mutation rate
Deng Pan, Jie Lin, Ariel Amir
The Luria-Delbrück model is a classic model of population dynamics with random mutations, that has been used historically to prove that random mutations drive evolution. In typical…
Active random force promotes diffusion in bacterial cytoplasm
Lingyu Meng, Yiteng Jin, Yichao Guan +2
Experiments have found that diffusion in metabolically active cells is much faster than in dormant cells, especially for large particles. However, the mechanism of this size-depend…
From single-cell variability to population growth
Jie Lin, Ariel Amir
Single-cell experiments have revealed cell-to-cell variability in generation times and growth rates for genetically identical cells. Theoretical models relating the fluctuating gen…
Optimal segregation of proteins: phase transitions and symmetry breaking
Jie Lin, Jiseon Min, Ariel Amir
Asymmetric segregation of key proteins at cell division -- be it a beneficial or deleterious protein -- is ubiquitous in unicellular organisms and often considered as an evolved tr…
Modeling cell size regulation: From single-cell level statistics to molecular mechanisms and population level effects
Po-Yi Ho, Jie Lin, Ariel Amir
Most microorganisms regulate their cell size. We review here some of the mathematical formulations of the problem of cell size regulation. We focus on coarse-grained stochastic mod…
The effects of stochasticity at the single-cell level and cell size control on the population growth
Jie Lin, Ariel Amir
Establishing a quantitative connection between the population growth rate and the generation times of single cells is a prerequisite for understanding evolutionary dynamics of micr…