Abstract
A formalism for simulating coupled metabolic and electrophysiological processes is presented. The resulting chemical kinetic and electrophysiological equations are solved numerically to create a cell simulator. Metabolic features of this simulator were adapted from Karyote, a multi-compartment biochemical cell modeling simulator. We present the mathematical formalism and its computational implementation as an integrated electrophysiological-metabolic model. Applications to Geobacter sulfurreducens in the environment and in a fuel cell are discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bakker BM, Michels PA, Opperdoes FR, Westerhoff HV (1997) Glycolysis in bloodstream form Trypanosoma brucei can be understood in terms of the kinetics of the glycolytic enzymes. J Biol Chem 272:3207–3215
Cortassa S, Aon MA (1994) Metabolic control analysis of glycolysis and branching to ethanol production in chemostat cultures of Saccharomyces cerevisiae under carbon, nitrogen, or phosphate limitations. Enzyme Microb Technol 16:761–770
Galazzo JL, Bailey JE (1990) Fermentation pathway kinetics and metabolic flux control in suspended and immobilized Saccharomyces cerevisiae. Enzyme Microb Technol 12:162–173
Garfinkel D, Frenkel RA, Garfinkel L (1968) Simulation of the detailed regulation of glycolysis in a heart supernatant preparation. Comput Biomed Res 2:68–91
Baier G, Muller M, Orsnes H (2002) Excitable spatio-temporal chaos in a model of glycolysis. J Phys Chem 106:3275–3282
Bakker BM, Mensonides FI, Teusink B, van Hoek P, Michels PA, Westerhoff HV (2000) Compartmentation protects trypanosomes from the dangerous design of glycolysis. Proc Natl Acad Sci U S A 97:2087–2092
Eisenthal R, Cornish-Bowden A (1998) Prospects for antiparasitic drugs: the case of Trypanosoma brucei, the causative agent of African sleeping sickness. J Biol Chem 273:5500–5505
Teusink B, Passarge J, Reijenga CA, Esgalhado E, van der Weijden CC, Schepper M, Walsh MC, Bakker BM, van Dam K, Westerhoff HV, Snoep JL (2000) Can yeast glycolysis be understood in terms of in vitro kinetics of the constituent enzymes? Testing biochemistry. Eur J Biochem 267:5313–5329
Zamamiri AM, Birol G, Hjortsø MA (2001) Multiple stable states and hysterisis in continuous, oscillating cultures of budding yeast. Biotechnol Bioeng 73:305–312
Navid A, Ortoleva PJ (2004) Simulated complex dynamics of glycolysis in the protozoan parasite Trypanosoma brucei. J Theor Biol 228:449–458
Weitzke EL, Ortoleva PJ (2003) Simulating cellular dynamics through a coupled transcription, translation, metabolic model. Comput Biol Chem 27:469–481
Jaffe LF (1979) Control of development by ionic currents. Soc Gen Physiol Ser 33:199–231
Ortoleva P (1981) Developmental bioelectricity. In: Illinger KH (ed) Biological effects of nonionizing radiation. American Chemical Society, Washington, DC, pp 163–212
Adebodun F, Post JFM (1993) 19F NMR studies of changes in membrane potential and intracellular volume during dexamethasone-induced apoptosis in human leukemic cell lines. J Cell Physiol 154:199–206
London RE, Gabel SA (1989) Determination of membrane potential and cell volume by 19F NMR using trifluoroacetate and trifluoroacetamide probes. Biochemistry 28:2378–2382
Miller PGG (1984) Alternate pathways in protozoan energy metabolism. Parasitology 82:23–25
Courtemanche M, Ramirez RJ, Nattel S (1998) Ionic mechanisms underlying human atrial action potential properties: insights from a mathematical model. Am J Physiol 275:H301–H321
Virgilio L, Bookchin RM (1986) Volume, pH, and ion-content regulation in human red cells: analysis of transient behavior with an integrated model. J Membr Biol 92:57–74
Hille B (2001) Ion channels of excitable membranes, 3rd edn. Sinauer Associates, Sunderland
Bashford CL, Pasternak CA (1985) Plasma membrane potential of neutrophils generated by the Na+-pump. Biochim Biophys Acta 817:174–180
Olschewski A, Hong Z, Nelson DP, Weir EK (2002) Graded response of K+ current, membrane potential, and [Ca2+]i to hypoxia in pulmonary arterial smooth muscle. Am J Physiol Lung Cell Mol Physiol 283:L1143–L1150
Leppanen L, Stys PK (1997) Ion transport and membrane potential in CNS myelinated axons II. Effects of metabolic inhibition. J Neurophysiol 78:2095–2107
Yasui K, Liu W, Opthof T, Kada K, Lee JK, Kamiya K, Kodama I (2001) I(f) current and spontaneous activity in mouse embryonic ventricular myocytes. Circ Res 88:536–542
Terasawa K, Nakajima T, Iida H, Iwasawa K, Oonuma H, Jo T, Morita T, Nakamura F, Fujimori Y, Toyo-oka T, Nagai R (2002) Nonselective cation currents regulate membrane potential of rabbit coronary arterial cell: modulation by lysophosphatidylcholine. Circulation 106:3111–3119
Oghalai JS, Zhao HB, Kutz JW, Brownell WE (2000) Voltage- and tension-dependent lipid mobility in the outer hair cell plasma membrane. Science 287:658–661
Poberaj I, Rupnik M, Kreft M, Sikdar SK, Zorec R (2002) Modeling excess retrieval in rat melanotroph membrane capacitance records. Biophys J 82:226–232
Inoue I, Tsutsui I, Abbott NJ, Brown ER (2002) Ionic currents in isolated and in situ squid Schwann cells. J Physiol 541:769–778
Saimi Y, Martinac B, Delcour AH, Minorsky PV, Gustin MC, Culbertson MR, Adler J, Kung C (1992) Patch clamp studies of microbial ion channels. Methods Enzymol 207:681–691
Nolan PD, Vooerheis HP (2000) Factors that determine the plasma-membrane potential in bloodstream forms of Trypanosoma brucei. Eur J Biochem 267:4615–4623
Damper PD, Epstein W (1981) Role of the membrane potential in bacterial resistance to aminoglycoside antibiotics. Antimicrob Agents Chemother 20:803–808
Bernstein J (1902) Untersuchungen Zur Thermodynamik der Bioelectrichen Strome. Pfluegers Arch 92:521–562
Berstein J (1912) Elektrobiologie. F. Vieweg, Braunschweig
Goldman DE (1943) Potential, impedance, and rectification in membranes. J Gen Physiol 27:37–60
Hodgkin A, Huxley A (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol 117:500–544
Fontus, MWA (2007) Simulating the electrometabolome. Ph.D Thesis, Indiana University, Bloomington. 141 p.
Brown PN, Byrne GD, Hindmarsh AC (1989) VODE: a variable coefficient ODE solver. SIAM J Sci Stat Comput 10:1038–1051
Byrne GD, Hindmarsh AC (1975) A polyalgorithm for the numerical solution of ordinary differential equations. ACM Trans Math Softw 1:71–96
Byrne GD, Hindmarsh AC (1976) EPISODEB: an experimental package for the integration of systems of ordinary differential equations with banded Jacobians. LLNL Report UCID/30132
Hindmarsh AC (1983) ODEPACK, a systematized collection of ODE solvers in Scientific Computing. In: R.S. Stepleman et al. (eds.) (vol. 1 of IMACS Transactions on Scientific Computation): North-Holland, Amsterdam, pp. 55–64.
Hindmarsh AC, Byrne GD (1977) EPISODE: an effective package for the integration of systems of ordinary differential equations. LLNL Report UCID/30112 1
Jackson KR, Sacks-Davis R (1980) An alternative implementation of variable step-size multistep formulas for stiff ODEs. ACM Trans Math Softw 6:295–318
Picioreanu C, van Loosdrecht MC, Katuri KP, Scott K, Head IM (2008) Mathematical model for microbial fuel cells with anodic biofilms and anaerobic digestion. Water Sci Technol 57:965–971
Logan BE, Hamelers B, Rozendal R, Schröder U, Keller J, Freguia S, Aelterman P, Verstraete W, Rabaey K (2006) Microbial fuel cells: methodology and technology. Environ Sci Technol 40:5181–5192
Cord-Ruwisch R, Lovley DR, Schink B (1998) Growth of Geobacter sulfurreducens with acetate in syntrophic cooperation with hydrogen-oxidizing anaerobic partners. Appl Environ Microbiol 64:2232
Reguera G, Nevin KP, Nicoll JS, Covalla SF, Woodard TL, Lovley DR (2006) Biofilm and nanowire production leads to increased current in Geobacter sulfurreducens fuel cells. Appl Environ Microbiol 72:7345
Renard F, Gratier JP, Ortoleva P, Brosse E, Bazin B (1998) Self organization during reactive fluid flow in a porous medium. Geophys Res Lett 25:385–388
Bond RD, Lovley DR (2000) Electricity production by Geobacter sulfurreducens attached to electrodes. Appl Environ Microbiol 69:1548–1555
Doodoroff M, Stanier RY (1959) Role of poly-beta-hydroxybutyric acid in aerobic gram-negative bacteria. Nature 183:1440–1442
Forsyth WG, Hayward AC, Roberts JB (1958) Occurrence of poly-beta-hydroxybutyric acid in aerobic gram-negative bacteria. Nature 182:800–801
Lemoigne M (1927) Etudes sur l’autolyse microbienne. Origine de l’acide-oxybutyrique form’e par autolyse. Ann Inst Pasteur 41:148–165
Lemoigne M, Girard H (1943) Reserves lipidiques beta-hydroxybutyriques chez Azobacter chroococcum. C R Acad Sci Paris 217:557–558
Morris MB, Roberts JB (1959) A group of pseudomonads able to synthesize poly-beta-hydroxybutyric acid. Nature 183:1538–1539
Stanier RY (1961) Photosynthetic mechanism in bacteria and plants: development of a unitary concept. Bacteriol Rev 25:1–17
Tavano CL, Donahue TJ (2006) Development of the bacterial photosynthetic apparatus. Curr Opin Microbiol 9:625–631
Freguia S, Rabaey K, Yuan Z, Keller J (2007) Electron and carbon balances in microbial fuel cells reveal temporary bacterial storage behavior during electricity generation. Environ Sci Technol 41:2915–2921
Sayyed-Ahmad A, Tuncay K, Ortoleva PJ (2003) Toward automated cell model development through information theory. J Phys Chem A 107:10554–10565
Sayyed-Ahmad A, Tuncay K, Ortoleva PJ (2007) Transcriptional regulatory network refinement and quantification through kinetic modeling, gene expression microarray data and information theory. BMC Bioinformatics 8:20
Larter R, Ortoleva P (1981) A theoretical basis for self-electrophoresis. J Theor Biol 88:599–630
Larter R, Ortoleva P (1982) A study of instability to electrical symmetry-breaking in unicellular systems. J Theor Biol 96:175–200
Acknowledgments
This work was funded in part by the Undergraduate Medical Academy at Prairie View A&M University, and the Indiana University College of Arts and Sciences through the Center for Cell and Virus Theory.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media, LLC
About this protocol
Cite this protocol
Fontus, M., Ortoleva, P. (2012). Electrophysiological-Metabolic Modeling of Microbes: Applications in Fuel Cells and Environment Analysis. In: Navid, A. (eds) Microbial Systems Biology. Methods in Molecular Biology, vol 881. Humana Press, Totowa, NJ. https://doi.org/10.1007/978-1-61779-827-6_14
Download citation
DOI: https://doi.org/10.1007/978-1-61779-827-6_14
Published:
Publisher Name: Humana Press, Totowa, NJ
Print ISBN: 978-1-61779-826-9
Online ISBN: 978-1-61779-827-6
eBook Packages: Springer Protocols