Scaling laws governing stochastic growth and division of single bacterial cells

Proceedings of the National Academy of Sciences of the United States of America

Volumn 111, Issue 45, 2014, Pages 15912-15917

  Iyer Biswas, Srividya ^a   Wright, Charles S ^a   Henry, Jonathan T ^b   Lo, Klevin ^a   Burov, Stanislav ^a   Lin, Yihan ^c   Crooks, Gavin E ^d   Crosson, Sean ^b   Dinner, Aaron R ^a,b   Scherer, Norbert F ^a,b  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^d LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

Arrhenius law; Cell to cell variability; Exponential growth; Hinshelwood cycle; Single cell dynamics

Indexed keywords

ARTICLE; BACTERIAL CELL; CAULOBACTER CRESCENTUS; CELL DIVISION; CELL GROWTH; CELL SIZE; CELLULAR DISTRIBUTION; DYNAMICS; LAW; NONHUMAN; OBSERVATIONAL STUDY; STOCHASTIC MODEL; TEMPERATURE; BIOLOGICAL MODEL; CAULOBACTER VIBRIOIDES; GROWTH, DEVELOPMENT AND AGING; PHYSIOLOGY; STATISTICS;

CAULOBACTER CRESCENTUS; CELL DIVISION; MODELS, BIOLOGICAL; STOCHASTIC PROCESSES;

EID: 84909609620     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1403232111     Document Type: Article

References (53)

1. Monod J (1949) The growth of bacterial cultures. Annu Rev Microbiol 3:371-394.
2. Schaechter M, Maaloe O, Kjeldgaard NO (1958) Dependency on medium and temperature of cell size and chemical composition during balanced grown of Salmonella typhimurium. J Gen Microbiol 19(3):592-606.
3. Donachie WD (1968) Relationship between cell size and time of initiation of DNA replication. Nature 219(5158):1077-1079.
4. Scott M, Gunderson CW, Mateescu EM, Zhang Z, Hwa T (2010) Interdependence of cell growth and gene expression: Origins and consequences. Science 330(6007):1099-1102.
5. Tzur A, Kafri R, Le Bleu VS, Lahav G, Kirschner MW (2009) Cell growth and size homeostasis in proliferating animal cells. Science 325(5937):167-171.
6. Huh D, Paulsson J (2011) Random partitioning of molecules at cell division. Proc Natl Acad Sci USA 108(36):15004-15009.
7. Lin Y, Li Y, Crosson S, Dinner AR, Scherer NF (2012) Phase resetting reveals network dynamics underlying a bacterial cell cycle. PLoS Comput Biol 8(11):e1002778.
8. Hagen SJ (2010) Exponential growth of bacteria: Constant multiplication through division. Am J Phys 78:1290-1296.
9. Scott M, Hwa T (2011) Bacterial growth laws and their applications. Curr Opin Biotechnol 22(4):559-565.
10. Velenich A, Gore J (2012) Synthetic approaches to understanding biological constraints. Curr Opin Chem Biol 16(3-4):323-328.
11. Haeusser DP, Levin PA (2008) The great divide: Coordinating cell cycle events during bacterial growth and division. Curr Opin Microbiol 11(2):94-99.
12. McMeekin T, Olley J, Ratkowsky D, Corkrey R, Ross T (2013) Predictive microbiology theory and application: Is it all about rates? Food Contr 29:290-299.
13. Halter M, Elliott JT, Hubbard JB, Tona A, Plant AL (2009) Cell volume distributions reveal cell growth rates and division times. J Theor Biol 257(1):124-130.
14. Di Talia S, Skotheim JM, Bean JM, Siggia ED, Cross FR (2007) The effects of molecular noise and size control on variability in the budding yeast cell cycle. Nature 448(7156):947-951.
15. Goldenfeld N, Woese C (2007) Biology's next revolution. Nature 445(7126):369.
16. Hawkins ED, et al. (2007) Measuring lymphocyte proliferation, survival and differentiation using CFSE time-series data. Nat Protoc 2(9):2057-2067.
17. Zhang Q, Austin RH (2012) Physics of cancer: The impact of heterogeneity. Ann Rev Condens Matter Phys 3:363-382.
18. Idema T, et al. (2013) The syncytial Drosophila embryo as a mechanically excitable medium. PLoS ONE 8(10):e77216.
19. Maheshri N, O'Shea EK (2007) Living with noisy genes: How cells function reliably with inherent variability in gene expression. Annu Rev Biophys Biomol Struct 36:413-434.
20. Schaechter M, Williamson JP, Hood J R J, Jr, Koch AL (1962) Growth, cell and nuclear divisions in some bacteria. J Gen Microbiol 29:421-434.
21. Koch AL, Schaechter M (1962) A model for statistics of the cell division process. J Gen Microbiol 29:435-454.
22. Elliott SG, McLaughlin CS (1978) Rate of macromolecular synthesis through the cell cycle of the yeast Saccharomyces cerevisiae. Proc Natl Acad Sci USA 75(9):4384-4388.
23. Cooper S (1988) Leucine uptake and protein synthesis are exponential during the division cycle of Escherichia coli B/r. J Bacteriol 170(1):436-438.
24. Godin M, et al. (2010) Using buoyant mass to measure the growth of single cells. Nat Methods 7(5):387-390.
25. Wang P, et al. (2010) Robust growth of Escherichia coli. Curr Biol 20(12):1099-1103.
26. Cooper S (1991) Bacterial Growth and Division: Biochemistry and Regulation of Prokaryotic and Eukaryotic Division Cycles (Elsevier, Amsterdam).
27. Koch A (2001) Bacterial Growth and Form (Springer, Berlin).
28. Cooper S (2006) Distinguishing between linear and exponential cell growth during the division cycle: Single-cell studies, cell-culture studies, and the object of cellcycle research. Theor Biol Med Model 3:10.
29. Ubitschek HE (1968) Linear cell growth in Escherichia coli. Biophys J 8(7):792-804.
30. Ullman G, et al. (2013) High-throughput gene expression analysis at the level of single proteins using a microfluidic turbidostat and automated cell tracking. Philos Trans R Soc Lond B Biol Sci 368(1611):20120025.
31. Helmstetter CE, Cummings DJ (1963) Bacterial synchronization by selection of cells at division. Proc Natl Acad Sci USA 50:767-774.
32. Shaw J, Payer K, Son S, Grover WH, Manalis SR (2012) A microfluidic "baby machine" for cell synchronization. Lab Chip 12(15):2656-2663.
33. Tian Y, Luo C, Ouyang Q (2013) A microfluidic synchronizer for fission yeast cells. Lab Chip 13(20):4071-4077.
34. Moffitt JR, Lee JB, Cluzel P (2012) The single-cell chemostat: An agarose-based, microfluidic device for high-throughput, single-cell studies of bacteria and bacterial communities. Lab Chip 12(8):1487-1494.
35. Locke J C W, Elowitz MB (2009) Using movies to analyse gene circuit dynamics in single cells. Nat Rev Microbiol 7(5):383-392.
36. Lin Y, Crosson S, Scherer NF (2010) Single-gene tuning of Caulobacter cell cycle period and noise, swarming motility, and surface adhesion. Mol Syst Biol 6:445.
37. Poindexter JS (1964) Biological properties and classification of the Caulobacter group. Bacteriol Rev 28:231-295.
38. Amir A (2014) Cell size regulation in bacteria. Phys Rev Lett 112:208102.
39. Ingraham JL, Maaloe O, Neidhardt FC (1983) Growth of the Bacterial Cell (Sinauer, Sunderland, MA).
40. Ratkowsky DA, Lowry RK, McMeekin TA, Stokes AN, Chandler RE (1983) Model for bacterial culture growth rate throughout the entire biokinetic temperature range. J Bacteriol 154(3):1222-1226.
41. Ratkowsky DA, Olley J, McMeekin TA, Ball A (1982) Relationship between temperature and growth rate of bacterial cultures. J Bacteriol 149(1):1-5.
42. Monod J (1942) Recherches sur la Croissance des Cultures Bactériennes (Hermann et Cie, Paris).
43. Herendeen SL, Van Bogelen RA, Neidhardt FC (1979) Levels of major proteins of Escherichia coli during growth at different temperatures. J Bacteriol 139(1):185-194.
44. Shaw MK, Marr AG, Ingraham JL (1971) Determination of the minimal temperature for growth of Escherichia coli. J Bacteriol 105(2):683-684.
45. Sizer I (1943) Effects of temperature on enzyme kinetics. Adv Enzymol Relat Subj Biochem 3:35-62.
46. Abbondanzieri EA, Shaevitz JW, Block SM (2005) Picocalorimetry of transcription by RNA polymerase. Biophys J 89(6):L61-L63.
47. Hinshelwood CN (1952) 136. On the chemical kinetics of autosynthetic systems. J Chem Soc (Resumed), pp 745-755.
48. Iyer-Biswas S, Crooks GE, Scherer NF, Dinner AR (2014) Universality in stochastic exponential growth. Phys Rev Lett 113(2):028101.
49. Furusawa C, Suzuki T, Kashiwagi A, Yomo T, Kaneko K (2005) Ubiquity of log-normal distributions in intra-cellular reaction dynamics. Biophysics (Oxf) 1:25-31.
50. Fredriksson A, Nyström T (2006) Conditional and replicative senescence in Escherichia coli. Curr Opin Microbiol 9(6):612-618.
51. Trueba FJ, Neijssel OM, Woldringh CL (1982) Generality of the growth kinetics of the average individual cell in different bacterial populations. J Bacteriol 150(3):1048-1055.
52. Brown P J B, et al. (2012) Polar growth in the Alphaproteobacterial order Rhizobiales. Proc Natl Acad Sci USA 109(5):1697-1701.
53. Curtis PD, Brun YV (2010) Getting in the loop: Regulation of development in Caulobacter crescentus. Microbiol Mol Biol Rev 74(1):13-41.