Abstract
In the area of predictive microbiology, most models focus on simplicity and general applicability and can be classified as black box models with the main emphasis on the description of the macroscopic (population level) microbial behavior as a response to the environment. Their validity to describe pure cultures in simple, liquid media under moderate environmental conditions is widely illustrated and accepted. However, experiments have shown that extrapolation of these models outside the range of experimental validation is not allowed as such. In general, the applicability and robustness of existing models under a wider range of conditions and in more realistic situations can definitely be improved upon by unraveling the underlying mechanisms and incorporating intracellular (microscopic) information. Following a systems biology approach, the link between intracellular fluxes and extracellular measurements is established by techniques of metabolic flux analysis. The modeling approach presented in this chapter will lead to more accurate predictive models for more complex systems, such as cocultures and structured environments based on a top-down systems biology approach.
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References
AbuOun M, Suthers P, Jones G, Carter B, Saunders M, Maranas C, Woodward M, Anjum M (2009) Genome scale reconstruction of a Salmonella metabolic model. J Biol Chem 284(43):29,480–29488
Arsene F, Tomoyasu T, Bukaua B (2000) The heat shock response of Escherichia coli. Int J Food Microbiol 55:3–9
Balsa-Canto E, Peifer M, Banga J, Timmer J, Fleck C (2008) Hybrid optimization method with general switching strategy for parameter estimation. BMC Syst Biol 2:26–34
Baranyi J (2002) Stochastic modelling of bacterial lag phase. Int J Food Microbiol 73:203–206
Baranyi J, Pin C (2001) A parallel study on modelling bacterial growth and survival curves. J Theor Biol 210:327–336
Baranyi J, Roberts TA (1994) A dynamic approach to predicting bacterial growth in food. Int J Food Microbiol 23:277–294
Baranyi J, Ross T, McMeekin TA, Roberts TA (1996) Effects of parametrization on the performance of emperical models used in ‘predictive microbiology’. Food Microbiol 13:83–91
Baranyi J, George S, Kutalik Z (2009) Parameter estimation for the distribution of single cell lag times. J Theor Biol 259:24–30
Baumrucker B, Renfro J, Biegler L (2008) MPEC problem formulations and solution strategies with chemical engineering applications. Comput Chem Eng 32(12):2903–2913
Betts J, Huffman W (2003) Large scale parameter estimation using sparse nonlinear programming methods. SIAM J Optimiz 14:223–244
Bock H (1983) Recent advances in parameter identification techniques for ODE. In: Deuflhard P, Hairer E (eds) Numerical treatment of inverse problems in differential and integral equations. Birkhäuser, Boston, pp 95–121
Boyd S, Vandenberghe L (2004) Convex optimization. University Press, Cambridge
Boyle NR, Morgan JA (2009) Flux balance analysis of primary metabolism in Chlamydomonas reinhardtii. BMC Syst Biol 3:4
Brul S, Westerhoff H (2007) Systems biology and food science. In: Brul S, van Gerwen S, Zwietering M (eds) Modelling microorganisms in food. Woodhead, Cambridge, pp 250–288
Brul S, Mensonides FIC, Hellingwerf KJ, Teixeira de Mattos MJ (2008) Microbial systems biology: new frontiers open to predictive microbiology. Int J Food Microbiol 128(1):16–21
Buchanan RL, Whiting RC, Damert WC (1997) When is simple good enough: a comparison of the Gompertz, Baranyi, and three-phase linear models for fitting bacterial growth curves. Food Microbiol 14:313–326
Burgard A, Maranas C (2002) Optimization-based framework for inferring and testing hypothesized metabolic objective functions. Biotechnol Bioeng 82:670–677
Chung H, Bang W, Drake M (2006) Stress response of Escherichia coli. Compr Rev Food Sci Food Saf 5(3):52–64
Covert M, Schilling C, Palsson B (2001) Regulation of gene expression in flux balance models of metabolism. J Theor Biol 213:309–325
Dens E, Van Impe J (2001) On the need for another type of predictive models in structured foods. Int J Food Microbiol 64:247–260
Edwards JS, Ibarra RU, Palsson BO (2001) In silico predictions of Escherichia coli metabolic capabilities are consistent with experimental data. Nat Biotechnol 19(2):125–130
Feist AM, Palsson BO (2010) The biomass objective function. Curr Opin Microbiol 13(3):344–349
Feist AM, Henry CS, Reed JL, Krummenacker M, Joyce AR, Karp PD, Broadbelt LJ, Hatzimanikatis V, Palsson BO (2007) A genome-scale metabolic reconstruction for Escherichia coli K-12 MG1655 that accounts for 1260 ORFs and thermodynamic information. Mol Syst Biol 3:121
Geeraerd A, Herremans C, Cenens C, Van Impe J (1998) Application of artificial neural networks as a non-linear modular modeling technique to describe bacterial growth in chilled food products. Int J Food Microbiol 44:49–68
Geeraerd AH, Herremans CH, Van Impe JF (2000) Structural model requirements to describe microbial inactivation during a mild heat treatment. Int J Food Microbiol 59:185–209
Geeraerd AH, Valdramidis VP, Devlieghere F, Bernaert H, Debevere J, Van Impe JF (2004) Development of a novel approach for secondary modelling in predictive microbiology: incorporation of microbiological knowledge in black box polynomial modelling. Int J Food Microbiol 91:229–244
Gianchandani E, Chavali A, Papin J (2010) The application of flux balance analysis in systems biology. Wiley Interdiscip Rev Syst Biol Med 2(3):372–382
Haag J, Vande Wouwer A, Bogaerts P (2005) Dynamic modeling of complex biological systems: a link between metabolic and macroscopic description. Math Biosci 193:25–49
Hanly T, Henson M (2011) Dynamic flux balance modeling of microbial co-cultures for efficient batch fermentation of glucose and xylose mixtures. Biotechnol Bioeng 108(2):376–385
Hardin H, van Schuppen J (2006) System reduction of nonlinear positive systems by linearization and truncation. Posit Syst 341:431–438
Holzhutter HG (2004) The principle of flux minimization and its application to estimate stationary fluxes in metabolic networks. Eur J Biochem 271:2905–2922
Joy J, Kremling A (2010) Study of the growth of Escherichia coli on mixed substrates using dynamic flux balance analysis. In: Proceedings of the 11th IFAC Symposium on computer applications in biotechnology, Leuven, 7–10 July 2010
Kwiatkowska J, Matuszewska E, Kuczynska-Wisnik D, Laskowska E (2008) Aggregation of Escherichia coli proteins during stationary phase depends on glucose and oxygen availability. Res Microbiol 159:651–657
Liebermeister W, Bauer U, Klipp E (2005) Biochemical network models simplified by balanced truncation. FEBS J 272:4034–4043
Llaneras F, Pico J (2008) Stoichiometric modelling of cell metabolism. J Biosci Bioeng 105:1–11
Lohmann T, Bock H, Schlöder J (1992) Numerical methods for parameter estimation and optimal experiment design in chemical reaction systems. Ind Eng Chem Res 31:54–57
Mahadevan R, Edwards J, Doyle F (2002) Dynamic flux balance analysis of diauxic growth in Escherichia coli. Biophys J 83(3):1331–1340
McKellar RC (1997) A heterogeneous population model for the analysis of bacterial growth kinetics. Int J Food Microbiol 36:179–186
McKellar R (2001) Development of a dynamic continuous-discrete-continuous model describing the lag phase of individual bacterial cells. J Appl Microbiol 90:407–413
McMeekin TA, Ross T (2002) Predictive microbiology: providing a knowledge-based framework for change management. Int J Food Microbiol 78:133–153
McMeekin TA, Olley J, Ratkowsky DA, Ross T (2002) Predictive microbiology: towards the interface and beyond. Int J Food Microbiol 73:395–407
McMeekin TA, Bowman J, McQuestin O, Mellefont L, Ross T, Tamplin M (2008) The future of predictive microbiology: strategic research, innovative applications and great expectations. Int J Food Microbiol 128:2–9
Mellefont LA, Ross T (2003) The effect of abrupt shifts in temperature on the lag phase duration of Escherichia coli and Klebsiella oxytoca. Int J Food Microbiol 83:295–305
Moles C, Mendes P, Banga J (2003) Parameter estimation in biochemical pathways: a comparison of global optimization methods. Genome Res 13:2467–2474
Nikolaou M, Tam VH (2005) A new modeling approach to the effect of antimicrobial agents on heterogeneous microbial populations. J Math Biol 52:154–182
Nyström T (2004) Stationary-phase physiology. Annu Rev Microbiol 58:161–181
Ou J, Wang L, Ding X, Du J, Zhang Y, Chen H, Xu A (2004) Stationary phase protein overproduction is a fundamental capability of Escherichia coli. Biochem Biophys Res Commun 314:174–180
Panagou EZ, Tassou CC, Saravanos EKA, Nychas GJE (2007) Application of neural networks to simulate the growth profile of lactic acid bacteria in green olive fermentation. J Food Prot 70:1909–1916
Pichereau V, Hartke A, Auffray Y (2000) Starvation and osmotic stress induced multiresistances influence of extracellular compounds. Int J Food Microbiol 55:19–25
Poschet F, Vereecken KM, Geeraerd AH, Nicola¨ı BM, Van Impe JF (2005) Analysis of a novel class of predictive microbial growth models and application to coculture growth. Int J Food Microbiol 100:107–124
Pramanik J, Keasling JD (1997) Stoichiometric model of Escherichia coli metabolism: incorporation of growth-rate dependent biomass composition and mechanistic energy requirements. Biotechnol Bioeng 56(4):398–421
Prats C, Giro A, Ferrer J, Lopez D, Vives-Rego J (2008) Analysis and IbM simulation of the stages in bacterial lag phase: basis for an updated definition. J Theor Biol 252:56–68
Provost A, Bastin G, Agathos S, Schneider YJ (2006) Metabolic design of macroscopic bioreaction models: application to Chinese hamster ovary cells. Bioprocess Biosyst Eng 29:349–366
Ramakrishna R, Edwards JS, Mcculluch A, Palsson BO (2001) Flux-balance analysis of mitochondrial energy metabolism: consequences of systemic stoichiometric constraints. Am J Physiol – Regulatory, Integrative Comp Physiol 280:R695–R704
Ratkowsky DA, Olley J, McMeekin TA, Ball A (1982) Relationship between temperature and growth rate of bacterial cultures. J Bacteriol 149:1–5
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 154:1222–1226
Rees CED, Dodd CER, Gibson PT, Booth IR, Stewart GSAB (1995) The significance of bacteria in stationary phase to food microbiology. Int J Food Microbiol 28:263–275
Rodriguez-Fernandez M, Mendes P, Banga J (2006) A hybrid approach for efficient and robust parameter estimation in biochemical pathways. Biosystems 83(2–3):248–265
Ross T, Ratkowsky DA, Mellefont LA, McMeekin TA (2003) Modelling the effects of temperature, water activity, pH and lactic acid concentration on the growth rate of Escherichia coli. Int J Food Microbiol 82:33–43
Rosso L, Lobry JR, Flandrois JP (1993) An unexpected correlation between cardinal temperatures of microbial growth highlighted by a new model. J Theor Biol 162:447–463
Rosso L, Lobry JR, Bajard S, Flandrois JP (1995) Convenient model to describe the combined effects of temperature and pH on microbial growth. Appl Environ Microbiol 61:610–616
Sautour M, Dantigny P, Divies C, Bensoussan M (2001) A temperature-type model for describing the relationship between fungal growth and water activity. Int J Food Microbiol 67:63–69
Schauer K, Geginat G, Liang C, Goebel W, Dandekar T, Fuchs T (2010) Deciphering the intracellular metabolism of Listeria monocytogenes by mutant screening and modelling. BMC Genomics 11:573
Schilling C, Covert M, Famili I, Church G, Edwards J, Palsson B (2002) Genome-scale metabolic model of Helicobacter pylori 26695. J Bacteriol 184:4582–4593
Schittkowski K (2002) Numerical data fitting in dynamical systems: a practical introduction with applications and software, Applied optimization. Kluwer, Dordrecht
Schuetz R, Kuepfer L, Sauer U (2007) Systematic evaluation of objective functions for predicting intracellular fluxes in Escherichia coli. Mol Syst Biol 3:119
Skandamis PN, Davies KW, McClure PJ, Koutsoumanis K, Tassou C (2002) A vitalistic approach for non-thermal inactivation of pathogens in traditional Greek salads. Food Microbiol 19:405–421
Standaert AR, Francois K, Devlieghere F, Debevere J, Van Impe JF, Geeraerd AH (2007) Modeling individual cell lag time distributions for Listeria monocytogenes. Risk Anal 27:241–254
Swinnen IAM, Bernaerts K, Gysemans K, Van Impe JF (2005) Quantifying microbial lag phenomena due to a sudden rise in temperature: a systematic macroscopic study. Int J Food Microbiol 100:85–96
Theys TE, Geeraerd AH, Devlieghere F, Van Impe JF (2009) Extracting information on the evolution of living-and dead-cell fractions of Salmonella Typhimurium colonies in gelatin gels based on microscopic images and plate-count data. Lett Appl Microbiol 49:39–45
Tjoa I, Biegler L (1991) Simultaneous solution and optimization strategies for parameter estimation of differential-algebraic equation systems. Ind Eng Chem Res 30:376–385
Vadasz P, Vadasz AS (2007) Biological implications from an autonomous version of Baranyi and Roberts growth model. Int J Food Microbiol 114:357–365
Van Derlinden E, Bernaerts K, Van Impe JF (2009) Unraveling E. coli dynamics close to the maximum growth temperature through heterogeneous modeling. Lett Appl Microbiol 49(6):659–665
Van Derlinden E, Bernaerts K, Van Impe J (2010) Quantifying the heterogeneous heat response of E. coli under dynamic temperatures. J Appl Microbiol 108(4):1123–1135
Van Impe JF, Poschet F, Geeraerd AH, Vereecken KM (2005) Towards a novel class of predictive microbial growth models. Int J Food Microbiol 100:97–105
Varma A, Boesch B, Palsson B (1993) Biochemical production capabilities of Escherichia coli. Biotechnol Bioeng 42:59–73
Yuk HG, Marshall DL (2003) Heat adaptation alters Escherichia coli O157:H7 membrane lipid composition and verotoxin production. Appl Environ Microbiol 69(9):5115–5119
Zagaris A, Kaper H, Kaper T (2004) Analysis of the computational singular perturbation reduction method for chemical kinetics. J Nonlinear Sci 14:59–91
Zinser ER, Kolter R (2004) Escherichia coli evolution during stationary phase. Res Microbiol 155:328–336
Zobeley J, Lebiedz D, Kammerer J, Ishmurzin A, Kummer U (2005) A new time dependent complexity reduction method for biochemical systems. Trans Comput Syst Biol vol LNBI 3880:90–110
Zwietering M, Jongenburger I, Rombouts F, van’t Riet K (1990) Modeling of the bacterial growth curve. Appl Environ Microbiol 56:1875–1881
Acknowledgments
This research was supported in part by Project PFV/10/002 (Center of Excellence OPTEC Optimization in Engineering) and OT/10/035 of the KU Leuven Research Fund, Project KP/09/005 (SCORES4CHEM) of the KU Leuven Industrial Research Fund, Project FWOG-08-00360 of the Research Foundation-Flanders, and the Belgian Program on Interuniversity Poles of Attraction, initiated by the Belgian Federal Science Policy Office. J.F. Van Impe holds the chair in Safety Engineering sponsored by the Belgian Chemistry and Life Sciences Federation Essenscia. D. Vercammen was supported by a doctoral grant of the Agency for Innovation through Science and Technology (IWT).
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Vercammen, D., Van Derlinden, E., Logist, F., Van Impe, J.F. (2013). Developing Next-Generation Predictive Models: Systems Biology Approach. In: Yanniotis, S., Taoukis, P., Stoforos, N., Karathanos, V. (eds) Advances in Food Process Engineering Research and Applications. Food Engineering Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-7906-2_27
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