Concerted control of Escherichia coli cell division

Significance The decisional process controlling cell division is a long-standing question in biology, but the answers were traditionally hindered by limited statistics on single cells. Contemporary experimental tools overcome this problem, but this progress must be combined with new theoretical tools to approach the data. This work introduces a quantitative method for estimating the variables controlling division rate and uses it to construct a minimal model from large-scale dynamic data on the size of dividing Escherichia coli cells. Cell size is found to be an important control variable of cell division, but not the sole one. Conversely, a description where division rate is determined jointly by cell size and time into the cell cycle reproduces well the available measurements. The coordination of cell growth and division is a long-standing problem in biology. Focusing on Escherichia coli in steady growth, we quantify cell division control using a stochastic model, by inferring the division rate as a function of the observable parameters from large empirical datasets of dividing cells. We find that (i) cells have mechanisms to control their size, (ii) size control is effected by changes in the doubling time, rather than in the single-cell elongation rate, (iii) the division rate increases steeply with cell size for small cells, and saturates for larger cells. Importantly, (iv) the current size is not the only variable controlling cell division, but the time spent in the cell cycle appears to play a role, and (v) common tests of cell size control may fail when such concerted control is in place. Our analysis illustrates the mechanisms of cell division control in E. coli. The phenomenological framework presented is sufficiently general to be widely applicable and opens the way for rigorous tests of molecular cell-cycle models.

[1]  Andrea Rinaldo,et al.  Scaling body size fluctuations , 2013, Proceedings of the National Academy of Sciences.

[2]  M. Kirschner,et al.  Dynamics extracted from fixed cells reveal feedback linking cell growth to cell cycle , 2013, Nature.

[3]  Alexander J. F. Egan,et al.  The physiology of bacterial cell division , 2013, Annals of the New York Academy of Sciences.

[4]  D. Sherratt,et al.  Chromosome replication and segregation in bacteria. , 2012, Annual review of genetics.

[5]  Sungmin Son,et al.  Direct observation of mammalian cell growth and size regulation , 2012, Nature Methods.

[6]  J. Skotheim,et al.  Cell Size Control in Yeast , 2012, Current Biology.

[7]  P. Levin,et al.  Cell Size Control in Bacteria , 2012, Current Biology.

[8]  Attila Csikász-Nagy,et al.  The critical size is set at a single-cell level by growth rate to attain homeostasis and adaptation , 2012, Nature Communications.

[9]  Matthew A. A. Grant,et al.  DnaA and the timing of chromosome replication in Es-cherichia coli as a function of growth rate , 2011, BMC Systems Biology.

[10]  J. Travis Mysteries of the cell. , 2011, Science.

[11]  M. Leslie Mysteries of the cell. How does a cell know its size? , 2011, Science.

[12]  Tatiana A. Engel,et al.  Stationary Size Distributions of Growing Cells with Binary and Multiple Cell Division , 2011 .

[13]  Uri Alon,et al.  Fifty years after Jacob and Monod: what are the unanswered questions in molecular biology? , 2011, Molecular cell.

[14]  T. Yomo,et al.  Origin of lognormal-like distributions with a common width in a growth and division process. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Andrew Wright,et al.  Robust Growth of Escherichia coli , 2010, Current Biology.

[16]  William H. Grover,et al.  Using buoyant mass to measure the growth of single cells , 2010, Nature Methods.

[17]  W. Margolin,et al.  Sculpting the Bacterial Cell , 2009, Current Biology.

[18]  M. Kirschner,et al.  Cell Growth and Size Homeostasis in Proliferating Animal Cells , 2009, Science.

[19]  M. Tyers,et al.  The rate of cell growth is governed by cell cycle stage. , 2009, Genes & development.

[20]  Frederick R. Cross,et al.  The effects of molecular noise and size control on variability in the budding yeast cell cycle , 2007, Nature.

[21]  N. Kleckner,et al.  Chromosome and Replisome Dynamics in E. coli: Loss of Sister Cohesion Triggers Global Chromosome Movement and Mediates Chromosome Segregation , 2005, Cell.

[22]  Kenji Yasuda,et al.  Single-cell growth and division dynamics showing epigenetic correlations. , 2005, The Analyst.

[23]  W. Donachie,et al.  Coupling the initiation of chromosome replication to cell size in Escherichia coli. , 2003, Current opinion in microbiology.

[24]  B. Novák,et al.  The size control of fission yeast revisited. , 1996, Journal of cell science.

[25]  J. Tyson,et al.  Sloppy size control of the cell division cycle. , 1986, Journal of theoretical biology.

[26]  A. Wheals Size control models of Saccharomyces cerevisiae cell proliferation , 1982, Molecular and cellular biology.

[27]  G. I. Bell,et al.  Cell growth and division. IV. Determination of volume growth rate and division probability. , 1969, Biophysical journal.

[28]  P. Painter,et al.  Mathematics of microbial populations. , 1968, Annual review of microbiology.

[29]  D. F. Petersen,et al.  Cell growth and division. II. Experimental studies of cell volume distributions in mammalian suspension cultures. , 1967, Biophysical journal.

[30]  A. L. Koch,et al.  Growth, cell and nuclear divisions in some bacteria. , 1962, Journal of general microbiology.