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New J Phys. 2018 Mar;20(3):035004. doi: 10.1088/1367-2630/aab197. Epub 2018 Mar 29.

Using stochastic cell division and death to probe minimal units of cellular replication.

Author information

1
Simons Centre for the Study of Living Machines, National Centre for Biological Sciences, TIFR, Bangalore, India.
2
Birla Institute of Technology and Science, Pilani, India.
3
thattai@ncbs.res.in.

Abstract

The invariant cell initiation mass measured in bacterial growth experiments has been interpreted as a minimal unit of cellular replication. Here we argue that the existence of such minimal units induces a coupling between the rates of stochastic cell division and death. To probe this coupling we tracked live and dead cells in Escherichia coli populations treated with a ribosome-targeting antibiotic. We find that the growth exponent from macroscopic cell growth or decay measurements can be represented as the difference of microscopic first-order cell division and death rates. The boundary between cell growth and decay, at which the number of live cells remains constant over time, occurs at the minimal inhibitory concentration (MIC) of the antibiotic. This state appears macroscopically static but is microscopically dynamic: division and death rates exactly cancel at MIC but each is remarkably high, reaching 60% of the antibiotic-free division rate. A stochastic model of cells as collections of minimal replicating units we term 'widgets' reproduces both steady-state and transient features of our experiments. Sub-cellular fluctuations of widget numbers stochastically drive each new daughter cell to one of two alternate fates, division or death. First-order division or death rates emerge as eigenvalues of a stationary Markov process, and can be expressed in terms of the widget's molecular properties. High division and death rates at MIC arise due to low mean and high relative fluctuations of widget number. Isolating cells at the threshold of irreversible death might allow molecular characterization of this minimal replication unit.

KEYWORDS:

antibiotic resistance; bacterial growth laws; self replication; stochastic models

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