Abstract
The determination of bacteriophage growth parameters, such as adsorption constant, latent period, and burst size, is essential for the proper design of bacteriophage production and the estimation of the efficacy of bacteriophage therapy. As they are dependent on the physiological state and cultivation conditions bacteria, they should be preferably determined in a non-invasive way. We propose a method that allows their determination under cultivation conditions. It is based on the cultivation of bacteria in a chemostat, the injection of bacteriophages, and monitoring of their concentration over a certain period. Phage growth parameters are determined by fitting a mathematical model to experimental data. E. coli–T4 system was investigated for various dilution rates covering a broad range of bacteria physiological states. Results were used for a prediction of bacteriophages and bacteria steady-state concentrations in a cellstat. A close match was found when adsorption of bacteriophages to the lysed cells was considered in the cellstat, while this mechanism can be neglected in the chemostat. Trends and values for burst size and latent period were consistent with literature data, demonstrating an increase in the burst size and decrease of the latent period with an increase of bacteria-specific growth rate (from 19 to 81 bacteriophage particles per cell and 89 to 29.8 min for a specific growth rate between 0.072 and 0.96 h−1, respectively). Adsorption constant also showed an increase with a specific growth rate increase (from 2.8E-10 to 4.0E-09 mL min−1), in contrast to chemostat literature data, probably due to its determination within the bioreactor. The proposed method also allowed estimation of latent period distribution. While its value for high-specific growth rates was determined to be constant of around 6 min, an increase of over an order of magnitude was found for the lowest specific growth rate, probably as a consequence of higher variability within bacteria population.
Key Points
• A method for determination of phage growth parameters under cultivating conditions was developed.
• The method was successfully tested on E. coli and T4 bacteriophage system comparing chemostat and cellstat values.
• Adsorption to lysed cells was found to be important for cellstat experiment but can be neglected in the chemostat.
• The determined burst size and latent period dependence on the bacterial physiological state was consistent with literature data, while differences were found for adsorption constant.
• Latent period distribution significantly increases for low bacteria–specific growth rates.




Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.References
Adams MH (1959) Bacteriophages. Interscience publishers, Inc., New York
Aminov R, Caplin J, Nino C, Coffey A, Cooper I, De Vos D, Doskar J, Friman V-P, Kurtboke I, Pantucek R, Pirnay JP, Resch G, Rohde C, Sybesma W, Wittmann J (2017) Application of bacteriophages. Microbiol Aust 38:63–66. https://doi.org/10.1071/MA17029
Aviram I, Rabinovitch A (2008) Dynamical types of bacteria and bacteriophages interaction: shielding by debris. J Theor Biol 251:121–136. https://doi.org/10.1016/j.jtbi.2007.11.003
Bayer ME (1968) Adsorption of bacteriophages to adhesions between wall and membrane of Escherichia coli. J Virol 2:346–356
Beretta E, Kuang Y (2001) Modeling and analysis of a marine bacteriophage infection with latency period. Nonlinear Anal Real World Appl 2:35–74. https://doi.org/10.1016/S0362-546X(99)00285-0
Brenner S, Champe SP, Streisinger G, Barnett L (1962) On the interaction of adsorption cofactors with bacteriophages T2 and T4. Virology 17:30–39. https://doi.org/10.1016/0042-6822(62)90078-8
Bull JJ, Millstein J, Orcutt J, Wichman HA (2006) Evolutionary feedback mediated through population density, illustrated with viruses in chemostats. Am Nat 167. https://doi.org/10.1086/499374
Bull JJ, Christensen KA, Scott C, Jack BR, Crandall CJ, Krone SM (2018) Phage-bacterial dynamics with spatial structure: self organization around phage sinks can promote increased cell densities. Antibiotics (Basel) 7. https://doi.org/10.3390/antibiotics7010008
Calsina À, Rivaud JJ (2014) A size structured model for bacteria-phages interaction. Nonlinear Anal Real World Appl 15:100–117. https://doi.org/10.1016/j.nonrwa.2013.06.004
Chen Y, Batra H, Dong J, Chen C, Rao VB, Tao P (2019) Genetic engineering of bacteriophages against infectious diseases. Front Microbiol 10. https://doi.org/10.3389/fmicb.2019.00954
Dakheel KH, Rahim RA, Neela VK, Al-Obaidi JR, Hun TG, Isa MNM, Yusoff K (2019) Genomic analyses of two novel biofilm-degrading methicillin-resistant Staphylococcus aureus phages. BMC Microbiol 19:114. https://doi.org/10.1186/s12866-019-1484-9
Delbrück M (1940a) Adsorption of bacteriophage under various physiological conditions of the host. J Gen Physiol 23:631–642
Delbrück M (1940b) The growth of bacteriophage and lysis of the host. J Gen Physiol 23:643–660. https://doi.org/10.1085/jgp.23.5.643
Delbrück M (1945) The burst size distribution in the growth of bacterial viruses (bacteriophage). J Bacteriol 50:131–135
Domingo-Calap P, Delgado-Martínez J (2018) Bacteriophages: protagonists of a post-antibiotic era. Antibiotics 7. https://doi.org/10.3390/antibiotics7030066
Ellis EL, Delbrück M (1939) The growth of bacteriophage. J Gen Physiol 22:365–384. https://doi.org/10.1085/jgp.22.3.365
Fernández L, Gutiérrez D, García P, Rodríguez A (2019) The perfect bacteriophage for therapeutic applications—a quick guide. Antibiotics (Basel) 8. https://doi.org/10.3390/antibiotics8030126
Fister S, Robben C, Witte AK, Schoder D, Wagner M, Rossmanith P (2016) Influence of environmental factors on phage–bacteria interaction and on the efficacy and infectivity of phage P100. Front Microbiol 7:1152. https://doi.org/10.3389/fmicb.2016.01152
Fogler HS (2005) Elements of chemical reaction engineering, Fourth edn. Prentice Hall, New Jersey
Furfaro LL, Payne MS, Chang BJ (2018) Bacteriophage therapy: clinical trials and regulatory hurdles. Front Cell Infect Microbiol 8:376. https://doi.org/10.3389/fcimb.2018.00376
Gáspár S, Rontó G, Müller G (1979) Determination of the biological parameters of bacterium-phage complexes. Z Allg Mikrobiol 19:163–169
Golec P, Karczewska-Golec J, Voigt B, Albrecht D, Schweder T, Hecker M, We G, Łos M (2013) Proteomic profiles and kinetics of development of bacteriophage T4 and its rI and rIII mutants in slowly growing Escherichia coli. J Gen Virol 94:896–905. https://doi.org/10.1099/vir.0.048686-0896048686
Golec P, Karczewska-Golec J, Łoś M, Węgrzyn G (2014) Bacteriophage T4 can produce progeny virions in extremely slowly growing Escherichia coli host: comparison of a mathematical model with the experimental data. FEMS Microbiol Lett 351:156–161. https://doi.org/10.1111/1574-6968.12372
González-Cabaleiro R, Mitchell AM, Smith W, Wipat A, Ofiteru ID (2017) Heterogeneity in pure microbial systems: experimental measurements and modeling. Front Microbiol 8. https://doi.org/10.3389/fmicb.2017.01813
Hadas H, Einav M, Fishov I, Zaritsky A (1997) Bacteriophage T4 development depends on the physiology of its host Escherichia coli. Microbiology 143:179–185. https://doi.org/10.1099/00221287-143-1-179
Hershey AD, Chase M (1952) Independent functions of viral protein and nucleic acid in growth of bacteriophage. J Gen Physiol 36:39–56. https://doi.org/10.1085/jgp.36.1.39
Hoskisson PA, Hobbs G (2005) Continuous culture – making a comeback? Microbiology 151:3153–3159. https://doi.org/10.1099/mic.0.27924-0
Husimi Y, Nishigaki K, Kinoshita Y, Tanaka T (1982) Cellstat-a continuous culture system of a bacteriophage for the study of the mutation rate and the selection process of the DNA level. Rev Sci Instrum 53:517–522
Hyman P, Abedon ST (2009) Practical methods for determining phage growth parameters. In: Clokie MRJ, Kropinski AM (eds) Bacteriophages: methods and protocols, Vol 1: isolation, characterization, and interactions. Humana Press, New York, pp 175–202
Jamal M, Bukhari SMAUS, Andleeb S, Ali M, Raza S, Nawaz MA, Hussain T, Rahman SU, Shah SSA (2019) Bacteriophages: an overview of the control strategies against multiple bacterial infections in different fields. J Basic Microbiol 59:123–133. https://doi.org/10.1002/jobm.201800412
Jurač K, Nabergoj D, Podgornik A (2019) Bacteriophage production processes. Appl Microbiol Biotechnol 103:685–694. https://doi.org/10.1007/s00253-018-9527-y
Kropinski AM (2009) Measurement of the rate of attachment of bacteriophage to cells. In: Clokie MRJ, Kropinski AM (eds) Bacteriophages: methods and protocols, Vol 1: isolation, characterization, and interactions. Humana Press, New York, pp 151–155
Kropinski AM, Mazzocco A, Waddell TE, Lingohr E, Johnson RP (2009) Enumeration of bacteriophages by double agar overlay plaque assay. In: Clokie MRJ, Kropinski AM (eds) Bacteriophages: methods and protocols, Vol 1: isolation, characterization, and interactions. Humana Press, pp 69–76
Krysiak-Baltyn K, Martin GJO, Stickland AD, Scales PJ, Gras SL (2016) Computational models of populations of bacteria and lytic phage. Crit Rev Microbiol 42:942–968. https://doi.org/10.3109/1040841X.2015.1114466
Moye ZD, Woolston J, Sulakvelidze A (2018) Bacteriophage applications for food production and processing. Viruses 10. https://doi.org/10.3390/v10040205
Nabergoj D, Kuzmić N, Drakslar B, Podgornik A (2018a) Effect of dilution rate on productivity of continuous bacteriophage production in cellstat. Appl Microbiol Biotechnol 102:3649–3661. https://doi.org/10.1007/s00253-018-8893-9
Nabergoj D, Modic P, Podgornik A (2018b) Effect of bacterial growth rate on bacteriophage population growth rate. Microbiologyopen 7:e00558. https://doi.org/10.1002/mbo3.558
Novick A, Szilard L (1950) Description of the chemostat. Science 112:715–716. https://doi.org/10.1126/science.112.2920.715
Principi N, Silvestri E, Esposito S (2019) Advantages and limitations of bacteriophages for the treatment of bacterial infections. Front Pharmacol 10. https://doi.org/10.3389/fphar.2019.00513
Quiberoni A, Reinheimer JA (1998) Physicochemical characterization of phage adsorption to Lactobacillus helveticus ATCC 15807 cells. J Appl Microbiol 85:762–768. https://doi.org/10.1111/j.1365-2672.1998.00591.x
Rabinovitch A, Hadas H, Einav M, Melamed Z, Zaritsky A (1999) Model for bacteriophage T4 Ddevelopment in Escherichia coli. J Bacteriol 181:1677–1683
Rabinovitch A, Fishov I, Hadas H, Einav M, Zaritsky A (2002) Bacteriophage T4 development in Escherichia coli is growth rate dependent. J Theor Biol 216:1–4. https://doi.org/10.1006/jtbi.2002.2543
Rabinovitch A, Aviram I, Zaritsky A (2003) Bacterial debris-an ecological mechanism for coexistence of bacteria and their viruses. J Theor Biol 224:377–383. https://doi.org/10.1016/s0022-5193(03)00174-7
Rezaeinejad S, Ivanov V (2011) Heterogeneity of Escherichia coli population by respiratory activity and membrane potential of cells during growth and long-term starvation. Microbiol Res 166:129–135. https://doi.org/10.1016/j.micres.2010.01.007
Rohde C, Wittmann J, Kutter E (2018) Bacteriophages: a therapy concept against multi-drug-resistant bacteria. Surg Infect 19:737–744. https://doi.org/10.1089/sur.2018.184
Santos SB, Carvalho C, Azeredo J, Ferreira EC (2014) Population dynamics of a Salmonella lytic phage and its host: implications of the host bacterial growth rate in modelling. PLoS One 9:e102507. https://doi.org/10.1371/journal.pone.0102507
Singh S, Singh SK, Chowdhury I, Singh R (2017) Understanding the mechanism of bacterial biofilms resistance to antimicrobial agents. Open Microbiol J 11:53–62. https://doi.org/10.2174/1874285801711010053
Smith HL, Thieme HR (2012) Persistence of bacteria and phages in a chemostat. J Math Biol 64:951–979. https://doi.org/10.1007/s00285-011-0434-4
Storms ZJ, Brown T, Cooper DG, Sauvageau D, Leask RL (2013) Impact of the cell life-cycle on bacteriophage T4 infection. FEMS Microbiol Lett 353:63–68. https://doi.org/10.1111/1574-6968.12402
Sutton S (2011) Accuracy of plate counts. J Valid Technol 17: 42-46
Sutton S (2012) The limitations of CFU: compliance to CGMP requires good science. J GXP Compliance 16:74–80
Takumi K, Takeoka A, Kinouchi T, Kawata T (1985) Solubilization and partial properties of receptor substance for bacteriophage alpha 2 induced from Clostridium botulinum type A 190L. Microbiol Immunol 29:1185–1195. https://doi.org/10.1111/j.1348-0421.1985.tb00908.x
Vandamme EJ, Mortelmans K (2019) A century of bacteriophage research and applications: impacts on biotechnology, health, ecology and the economy! J Chem Technol Biotechnol 94:323–342. https://doi.org/10.1002/jctb.5810
Watanabe K, Takesue S, Ishibashi K (1977) Reversibility of the adsorption of bacteriophage PL-1 to the cell walls isolated from Lactobacillus casei. J Gen Virol 34:189–194. https://doi.org/10.1099/0022-1317-34-1-189
World Health Organization (2018) Antibiotic resistance. https://www.who.int/news-room/fact-sheets/detail/antibiotic-resistance. Accessed 9 January 2020
You L, Suthers PF, Yin J (2002) Effects of Escherichia coli physiology on growth of phage T7 in vivo and in silico. J Bacteriol 184:1888–1894. https://doi.org/10.1128/JB.184.7.1888-1894.2002
Zeng L, Golding I (2011) Following cell-fate in E. coli after infection by phage lambda. J Vis Exp 56:e3363. https://doi.org/10.3791/3363
Funding
This work was co-funded by the European Regional Development Fund and Slovenian Ministry of Education, Science and Sport (project BioPharm.Si) and project IMBI co-financed by European Regional Development Fund, Interreg V-A Italy-Slovenia programme 2014-2020.
Author information
Authors and Affiliations
Contributions
KŠ and AP contributed to the design of the research. KŠ carried out the experiments and performed the numerical calculations. Both KŠ and AP authors discussed the results and contributed to the manuscript. AP prepared final version of the manuscript.
Corresponding author
Ethics declarations
This article does not contain any studies with human participants or animals performed by any of the authors.
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Electronic supplementary material
ESM 1
(PDF 307 kb)
Rights and permissions
About this article
Cite this article
Šivec, K., Podgornik, A. Determination of bacteriophage growth parameters under cultivating conditions. Appl Microbiol Biotechnol 104, 8949–8960 (2020). https://doi.org/10.1007/s00253-020-10866-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00253-020-10866-8


