32 citations · 36 across the 4 of their papers we have counts for
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Quantum Diffusion in the Strong Tunneling Regime
Nisarga Paul, Ariel Amir
We study the spread of a quantum-mechanical wavepacket in a noisy environment, modeled using a tight-binding Hamiltonian. Despite the coherent dynamics, the fluctuating environment…
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…