THERMAL SCIENCE
International Scientific Journal
THERMODYNAMICS OF BACTERIA-PHAGE INTERACTIONS T4 AND LAMBDA BACTERIOPHAGES, AND E. COLI CAN COEXIST IN NATURAL ECOSYSTEMS DUE TO THE RATIO OF THEIR GIBBS ENERGIES OF BIOSYNTHESIS
ABSTRACT
The model of T4 phage, Lambda phage, and E. coli is often used in research on virus-host interactions. This paper reports for the first time the thermodynamic driving force of biosynthesis, catabolism and metabolism for the three organisms, on the M9 medium. Moreover, the influence of activities of nutrients and metabolic products is analyzed. All three organisms were found to have very similar Gibbs energies of metabolism. Moreover, since they share the same catabolism, their Gibbs energies of catabolism are identical. However, Gibbs energies of biosynthesis differ. The calculated thermodynamic properties have been used to explain the coexistence of both bacteria and phages in a dynamic equilibrium in natural ecosystems.
KEYWORDS
PAPER SUBMITTED: 2022-10-04
PAPER REVISED: 2022-11-25
PAPER ACCEPTED: 2022-12-02
PUBLISHED ONLINE: 2023-02-25
THERMAL SCIENCE YEAR
2023, VOLUME
27, ISSUE
Issue 1, PAGES [411 - 431]
- Von Bertalanffy, L., The Theory of Open Systems in Physics and Biology. Science, 111 (1950), 2872, pp. 23-29
- Von Bertalanffy, L., General System Theory: Foundations, Development, Applications, George Braziller Inc., New York, USA, 1971
- Wimmer, E., The Test-Tube Synthesis of a Chemical Called Poliovirus. The Simple Synthesis of a Virus has Far-Reaching Societal Implications, EMBO reports, 7 (2006), Spec No., pp. S3-S9
- Von Stockar, U., Live Cells as Open Non-Equilibrium Systems, in: Biothermodynamics: The Role of Thermodynamics in Biochemical Engineering, EPFL Press, Lausanne, Switzerland, 2013, pp. 475-534
- Popovic, M., Thermodynamic Properties of Microorganisms: Determination and Analysis of Enthalpy, Entropy, and Gibbs Free Energy of Biomass, Cells and Colonies of 32 Microorganism Species, Heliyon, 5 (2019), 6, e01950
- Von Stockar, U., Biothermodynamics of Live Cells: Energy Dissipation and Heat Generation in Cellular Structures, in: Biothermodynamics: The Role of Thermodynamics in Biochemical Engineering, EPFL Press, Lausanne, Switzerland, 2013, pp. 475-534
- Ozilgen, M., Sorguven, E., Biothermodynamics: Principles and Applications, CRC Press, Boca Raton, Fla., USA, 2017
- Sandler, S. I., Chemical, Biochemical, and Engineering Thermodynamics, 5th ed., Wiley, Hoboken, N. J., USA, 2017
- Mahmoudabadi, G., et al., Energetic Cost of Building a Virus, PNAS, 114 (2017), 22, pp. E4324-E4333
- Yildiz, C., Ozilgen, M., Species-Specific Biological Energy Storage and Reuse, Energy Storage, 4 (2022), 6, e382
- Popovic, M., et al., Elemental Composition, Heat Capacity from 2 to 300 K and Derived Thermodynamic Functions of 5 Microorganism Species, J of Biotechnology, 331 (2021), Apr., pp. 99-107
- Molla, A., et al., Cell-Free, De Novo Synthesis of Poliovirus, Science, 254 (1991), 5038 pp. 1647-1651
- Popovic, M., Popovic, M., Strain Wars: Competitive Interactions Between SARS-Cov-2 Strains are Explained by Gibbs Energy of Antigen-Receptor Binding, Microbial Risk Analysis, 21 (2022), 100202
- Popovic, M., Strain Wars 2: Binding Constants, Enthalpies, Entropies, Gibbs Energies and Rates of Binding of SARS-CoV-2 Variants, Virology, 570 (2022), May, pp. 35-44
- Popovic, M., Strain wars 3: Differences in Infectivity and Pathogenicity Between Delta and Omicron Strains of SARS-CoV-2 can be Explained by Thermodynamic and Kinetic Parameters of Binding and Growth, Microbial Risk Analysis, 22 (2022), 100217
- Popovic, M., Atom Counting Method for Determining Elemental Composition of Viruses and its Applications in Biothermodynamics and Environmental Science, Computational Biology and Chemistry, 96 (2022), 107621
- Popovic, M., Strain Wars 4: Darwinian Evolution Through Gibbs' Glasses: Gibbs Energies of Binding and Growth Explain Evolution of SARS-CoV-2 from Hu-1 to BA.2, Virology, 575 (2022), Oct., pp. 36-42
- Popovic, M., Strain Wars 5: Gibbs Energies of Binding of BA.1 Through BA.4 Variants of SARS-CoV-2, Microbial Risk Analysis, 22 (2022), 100231
- Popovic, M., Beyond COVID-19: Do Biothermodynamic Properties Allow Predicting the Future Evolution of SARS-CoV-2 Variants?. Microbial Risk Analysis, 22 (2022), 100232
- Popovic, M., Formulas for Death and Life: Chemical Composition and Biothermodynamic Properties of Monkeypox (MPV, MPXV, HMPXV) and Vaccinia (VACV) viruses, Thermal Science, 26 (2022), 6A, pp. 4855-4868
- Popovic, M., Why doesn't Ebola Virus Cause Pandemics Like SARS-CoV-2? Microbial Risk Analysis, 22 (2022), 100236
- Simsek, B., et al., How Much Energy is Stored in SARS‐CoV‐2 and its Structural Elements? Energy Storage, 4 (2022), 2, e298
- Popovic, M., Minceva, M., Coinfection and Interference Phenomena are the Results of Multiple Thermodynamic Competitive Interactions, Microorganisms, 9 (2021), 10, 2060
- Maskow, T., et al., Calorimetric Real Time Monitoring of Lambda Prophage Induction, Journal of Virological Methods, 168 (2010), 1-2, pp. 126-132
- Guosheng, L., et al., Study on Interaction Between T4 Phage and Escherichia coli B by Microcalorimetric Method, Journal of Virological Methods, 112 (2003), 1-2, pp. 137-143
- Popovic, M., Minceva, M., A Thermodynamic Insight Into Viral Infections: Do Viruses in a Lytic Cycle Hijack Cell Metabolism Due to Their Low Gibbs Energy?, Heliyon, 6 (2003), 5, e03933
- Lavoisier, A. L., de Laplace, P. S., Memoir on Heat Read to the Royal Academy of Sciences, 28 june 1783, Obesity Research, 2 (1994), 2, pp. 189-202
- Muller, I., A History of Thermodynamics: The Doctrine of Energy and Entropy, Springer, Berlin, 2010
- Boltzmann, L., The Second Law of Thermodynamics, in: Theoretical Physics and Philosophical Problems, (ed., McGuinnes, B.,), D. Riedel Publishing Company, Boston, Mass., USA, 1974
- Popovic, M., Research in Entropy Wonderland: A Review of the Entropy Concept, Thermal Science, 22 (2018), 2, pp. 1163-1178
- Schrodinger, E., What is Life? The Physical Aspect of the Living Cell, Cambridge University Press, Cambridge, UK, 1944
- Glansdorff, P., Prigogine, I., Thermodynamic Theory of Structure, Stability and Fluctuations, Hoboken, Wiley, N. J., USA, 1971
- Prigogine, I., Wiame, J. M., Biology and Thermodynamics of Irreversible Phenomena (in French), Experientia, 2 (1946), Nov., pp. 451-453
- Prigogine, I., Thermodynamic Study of Irreversible Phenomena (in French), Dunod, Paris, 1947
- Prigogine, I., Nobel Lecture: Time, Structure and Fluctuations, Available at: www.nobelprize.org/prizes/chemistry/1977/prigogine/lecture/, 1977
- Popovic, M., Living Organisms from Prigogine's Perspective: An Opportunity to Introduce Students to Biological Entropy Balance, Journal of Biological Education, 52 (2018), 3, pp. 294-300
- Morowitz, H., The Emergence of Complexity, Complexity, 1 (1995), 1, pp. 4-5
- Morowitz, H. J., Beginnings of Cellular Life: Metabolism Recapitulates Biogenesis, Yale University Press, New Haven, Conn., USA, 1992
- Morowitz, H. J., Energy Flow in Biology: Biological Organization as a Problem in Thermal Physics, Academic Press, New York, USA, 1968
- Morowitz, H. J., Some Order-Disorder Considerations in Living Systems, Bulletin of Mathematical Biophysics, 17 (1955), June, pp. 81-86
- Morowitz, H. J., et al., The Origin of Intermediary Metabolism, Proceedings of the National Academy of Sciences, 97 (2000), 14, pp. 7704-7708
- Morowitz, H. J., et al., The Chemical Logic of a Minimum Protocell, Origins Life Evol Biosphere, 18 (1988), Sept., pp. 281-287
- von Stockar, U., Liu, J., Does Microbial Life Always Feed on Negative Entropy? Thermodynamic Analysis of Microbial Growth, Biochimica et Biophysica Acta, 1412 (1999), 3, pp. 191-211
- Von Stockar, U., et al., Thermodynamics of Microbial Growth and Metabolism: An Analysis of the Current Situation, Journal of Biotechnology, 121 (2006), 4, pp. 517-533
- von Stockar, U., et al., Can Microbial Growth Yield be Estimated Using Simple Thermodynamic Analogies to Technical Processes?. Chem. Eng. and Pro.: Pro. Intensification, 47 (2008), 6, pp. 980-990
- Patino, R., et al., A Study of the Growth for the Microalga Chlorella Vulgaris by Photo-Bio-Calorimetry and other On-Line and Off-Line Techniques, Biotechnology and Bioengineering, 96 (2007), 4, pp. 757-767
- Von Stockar, U., Marison, I. W., The Definition of Energetic Growth Efficiencies for Aerobic and Anaerobic Microbial Growth and their Determination by Calorimetry and by Other Means, Thermochimica Acta, 229 (1993), Dec., pp. 157-172
- Liu, J. S., et al., Microbial Growth by a Net Heat Up‐Take: A Calorimetric and Thermodynamic Study on Acetotrophic Methanogenesis by Methanosarcina Barkeri, Biotechnology and Bioengineering, 75 (2001), 2, pp. 170-180
- Hansen, L. D., et al., Transformation of Matter in Living Organisms During Growth and Evolution, Biophysical Chemistry, 271 (2021), 106550
- Hansen, L. D., et al., Laws of Evolution Parallel the Laws of Thermodynamics, The Journal of Chemical Thermodynamics, 124 (2018), Sept., pp. 141-148
- Hansen, L. D., et al., Biological Calorimetry and the Thermodynamics of the Origination and Evolution of Life, Pure and Applied Chemistry, 81 (2009), 10, pp. 1843-1855
- Lucia, U., Grisolia, G., How Life Works a Continuous Seebeck-Peltier Transition in Cell Membrane?. Entropy, 22 (2020), 9, 960
- Lucia, U., Bioengineering Thermodynamics of Biological Cells, Theoretical Biology & Medical Modelling, 12 (2015), 29
- Lucia, U., et al., A Thermoeconomic Indicator for the Sustainable Development with Social Considerations, Environ Dev Sustain, 24 (2022), May, pp. 2022-2036
- Grisolia, G., et al., The Education Index in the Context of Sustainability: Thermo-Economic Considerations, Frontiers in Physics, 10 (2022), Aug., 800
- Lucia, U., Grisolia, G., The Gouy-Stodola Theorem from Irreversibility to Sustainability the Thermodynamic Human Development Index, Sustainability, 13 (2021), 7, 3995
- Maskow, T., et al., What Heat is Telling us About Microbial Conversions in Nature and Technology: from Chip- to Megacalorimetry, Microbial Biotechnology, 3 (2010), 3, pp. 269-284
- Maskow, T., Paufler, S., What does Calorimetry and Thermodynamics of Living Cells Tell Us?. Methods, 76 (2015), Apr., pp. 3-10
- Maskow, T., Harms, H., Real Time Insights Into Bioprocesses Using Calorimetry: State of the Art and Potential, Engineering in Life Sciences, 6 (2006), 3, pp. 266-277
- Maskow, T., von Stockar, U., How Reliable are Thermodynamic Feasibility Statements of Biochemical Pathways?. Biotechnology and Bioengineering, 92 (2005), 2, pp. 223-230
- Maskow, T., Miniaturization of Calorimetry: Strengths and Weaknesses for Bioprocess Monitoring, in: Biothermodynamics: The Role of Thermodynamics in Biochemical Engineering, (ed. von Stockar, U.,), EPFL Press, Lausanne, Switzerland, 2013, pp. 423-442
- Korth, B., et al., Precious Data from Tiny Samples: Revealing the Correlation Between Energy Content and the Chemical Oxygen Demand of Municipal Wastewater by Micro-Bomb Combustion Calorimetry, Frontiers in Energy Research, 9 (2021), 705800
- Fricke, C., et al., Rapid Calorimetric Detection of Bacterial Contamination: Influence of the Cultivation Technique, Frontiers in Microbiology, 10 (2019), Nov., 2530
- Barros, N., et al., The Effect of Extreme Temperatures on Soil Organic Matter Decomposition from Atlantic Oak Forest Ecosystems, Iscience, 24 (2021), 12, 103527
- Barros, N., Thermodynamics of Soil Microbial Metabolism: Applications and Functions, Applied Sciences, 11 (2021), 11, 4962
- Barros, N., et al., Thermodynamics of Soil Organic Matter Decomposition in Semi-Natural Oak (Quercus) Woodland in Southwest Ireland, Oikos, 129 (2020), 11, pp. 1632-1644
- Barros, N., et al., Factors Influencing the Calorespirometric Ratios of Soil Microbial Metabolism, Soil Biology and Biochemistry, 92 (2016). Jan., pp. 221-229
- Xu, J., et al., Exploring the Potential of Microcalorimetry to Study Soil Microbial Metabolic Diversity, Journal of Thermal Analysis and Calorimetry, 127 (201), 2, pp. 1457-1465
- Berg, J. M., et al., Biochemistry, 5th ed.. Freeman, New York, USA, (Section 14.1, Metabolism Is Composed of Many Coupled, Interconnecting Reactions, 2002
- Gale, P., Using Thermodynamic Equilibrium Models to Predict the Effect of Antiviral Agents on Infectivity: Theoretical Application to SARS-CoV-2 and Other Viruses, Microbial Risk Analysis, 21 (2022), 100198
- Gale, P., How Virus Size and Attachment Parameters Affect the Temperature Sensitivity of Virus Binding to Host Cells: Predictions of a Thermodynamic Model for Arboviruses and HIV, Microbial Risk Analysis, 15 (2020), 100104
- Gale, P., Towards a Thermodynamic Mechanistic Model for the Effect of Temperature on Arthropod Vector Competence for Transmission of Arboviruses, Microbial Risk Analysis, 12 (2019), Aug., pp. 27-43
- Gale, P., Using Thermodynamic Parameters to Calibrate a Mechanistic Dose-Response for Infection of a Host by a Virus, Microbial risk analysis, 8 (2018), Apr., pp. 1-13
- Lucia, U., et al., Thermodynamics and SARS-CoV-2: Neurological Effects in Post-Covid 19 Syndrome. Atti della Accademia Peloritana dei Pericolanti, 99 (2021), 2, A3
- Lucia, U., et al., Seebeck-Like Effect in SARS-CoV-2 Bio-Thermodynamics, Atti della Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche, Matematiche e Naturali, 98 (2020), 2, 6
- Lucia, U., et al., Entropy-Based Pandemics Forecasting, Frontiers in Physics, 8 (2020), 274
- Kaniadakis, G., et al., The κ-Statistics Approach to Epidemiology, Scientific Reports, 10 (2020), 1, 19949
- Privalov, P. L., Microcalorimetry of Macromolecules: The Physical Basis of Biological Structures, John Wiley & Sons, Hoboken, N. J., USA, 2012
- Sarge, S. M., et al., Calorimetry: Fundamentals, Instrumentation and Applications, John Wiley & Sons, Hoboken, N, J., USA, 2014
- Bauer, D. W., et al., Exploring the Balance between DNA Pressure and Capsid Stability in Herpesviruses and Phages, Journal of Virology, 89 (2015), 18, pp. 9288-9298
- Bauer, D. W., Evilevitch, A., Influence of Internal DNA Pressure on Stability and Infectivity of Phage λ, Journal of Molecular Biology, 427 (2015), 20, pp. 3189-3200
- Li, D., et al., Ionic Switch Controls the DNA State in Phage λ, Nucleic Acids Research, 43 (2015), 13, pp. 6348-6358
- Evilevitch, A.,The Mobility of Packaged Phage Genome Controls Ejection Dynamics, eLife, 7 (2018), Sept., e37345
- Chakraborty, S., et al., Mechanistic Insight into the Structure and Dynamics of Entangled and Hydrated λ-Phage DNA, The Journal of Physical Chemistry. A, 116 (2012), 17, pp. 4274-4284
- Petsong, K., et al., Optimization of Wall Material for Phage Encapsulation via Freeze-Drying and Antimicrobial Efficacy of Microencapsulated Phage against Salmonella, Journal of Food Science and Technology, 58 (2021), 5, pp. 1937-1946
- Chang, R. Y. K., et al., Storage Stability of Inhalable Phage Powders Containing Lactose at Ambient Conditions, International Journal of Pharmaceutics, 560 (2019), Apr., pp. 11-18
- Zhang, Y., et al., The Stabilizing Excipients in Dry State Therapeutic Phage Formulations, AAPS PharmSciTech, 21 (2020), 4, 133
- Leung, S. S., et al., Production of Inhalation Phage Powders Using Spray Freeze Drying and Spray Drying Techniques for Treatment of Respiratory Infections, Pharmaceutical Research, 33 (2016), 6, pp. 1486-1496
- Malik, D. J., Bacteriophage Encapsulation Using Spray Drying for Phage Therapy, Current Issues in Molecular Biology, 40 (2021), pp. 303-316
- Lerchner, J., et al., Chip-Calorimetric Evaluation of the Efficacy of Antibiotics and Bacteriophages Against Bacteria on a Minute-Timescale, J. of Therm. Ana. and Calorimetry, 104 (2011), 1, pp. 31-36
- Morais, F. M., et al., Chip-Calorimetric Monitoring of Biofilm Eradication with Bacteriophages Reveals an Unexpected Infection-Related Heat Profile, J. of Therm. Ana. and Cal., 115 (2014), 3, pp. 2203-2210
- Tkhilaishvili, T., et al., Real-Time Assessment of Bacteriophage T3-Derived Antimicrobial Activity Against Planktonic and Biofilm-Embedded Escherichia Coli by Isothermal Microcalorimetry, Research in Microbiology, 169 (2018), 9, pp. 515-521
- Wang, L., et al., Bacteriophage-Antibiotic Combinations Against Ciprofloxacin/Ceftriaxone-Resistant Escherichia Coli in Vitro and in an Experimental Galleria Mellonella Model, International Journal of Antimicrobial Agents, 56 (2020), 6, 106200
- Tkhilaishvili, T., et al., Using Bacteriophages as a Trojan Horse to the Killing of Dual-Species Biofilm Formed by Pseudomonas Aeruginosa and Methicillin Resistant Staphylococcus Aureus, Frontiers in Microbiology, 11 (2020), 695
- Tkhilaishvili, T., et al., Antibacterial Efficacy of Two Commercially Available Bacteriophage Formulations, Staphylococcal Bacteriophage and PYO Bacteriophage, Against Methicillin-Resistant Staphylococcus aureus: Prevention and Eradication of Biofilm Formation and Control of a Systemic Infection of Galleria mellonella Larvae, Frontiers in Microbiology, 11 (2020), 110
- Tkhilaishvili, T., et al., Bacteriophage Sb-1 Enhances Antibiotic Activity Against Biofilm, Degrades Exopolysaccharide Matrix And Targets Persisters of Staphylococcus Aureus, International Journal of Antimicrobial Agents, 52 (2018), 6, pp. 842-853
- Tkhilaishvili, T., et al., Simultaneous and Sequential Applications of Phages and Ciprofloxacin in Killing Mixed-Species Biofilm of Pseudomonas Aeruginosa and Staphylococcus Aureus, in: Orthopaedic Proceedings, The British Editorial Society of Bone & Joint Surgery, London, UK, Vol. 100, No. Suppl. 17, pp. 65-65, 2018
- Mariana, F., Chip-Calorimetric Monitoring and Biothermodynamic Analysis of Biofilm Growth and Interactions with Chemical and Biological Agents, Ph. D. thesis, Technical University of Dresden, Dresden, Germany, 2015
- Qiu, X., Heat Induced Capsid Disassembly and DNA Release of Bacteriophage λ, PloS one, 7 (2012), 7, e39793
- Chang, R. Y. K., et al., Inhalable Bacteriophage Powders: Glass Transition Temperature and Bioactivity Stabilization, Bioengineering & Translational Medicine, 5 (2020), 2, e10159
- Boggione, D. M. G., et al., Preparation of Polyvinyl Alcohol Hydrogel Containing Bacteriophage and Its Evaluation for Potential Use in the Healing of Skin Wounds, Journal of Drug Delivery Science and Technology, 63 (2021), 102484
- Heselpoth, R. D., et al., Quantitative Analysis of the Thermal Stability of the Gamma Phage Endolysin Plyg: A Biophysical and Kinetic Approach to Assaying Therapeutic Potential, Virology, 477 (2015), Mar., pp. 125-132
- Xu, J., et al., An Enhanced Bioindicator for Calorimetric Monitoring of Prophage-Activating Chemicals in the Trace Concentration Range, Engineering in Life Sciences, 18 (2018), 7, pp. 475-483
- Kurochkina, L. P., et al., Expression and Functional Characterization of the First Bacteriophage-Encoded Chaperonin, Journal of Virology, 86 (2012), 18, pp. 10103-10111
- Lee, S. J., et al., Residues of Escherichia coli Thioredoxin Critical for Interaction with Phage T7 DNA Polymerase to Increase Processivity, The FASEB Journal, 31 (2017), S1, 592-3
- Plotka, M., et al., Biochemical Characterization and Validation of a Catalytic Site of a Highly Thermostable Ts2631 Endolysin from the Thermus Scotoductus Phage vB_Tsc2631, PloS one, 10 (2015), 9, e0137374
- Lee, J.-M., et al., Improvement of High Affinity and Selectivity on Biosensors Using Genetically Engineered Phage by Binding Isotherm Screening, Viruses, 11 (2019), 3, 248
- Popovic, M., Minceva, M., Thermodynamic Insight Into Viral Infections 2: Empirical Formulas, Molecular Compositions and Thermodynamic Properties of SARS, MERS and SARS-CoV-2 (COVID-19) Viruses, Heliyon, 6 (2020), 9, e04943
- Patel, S. A., Erickson, L. E., Estimation of Heats of Combustion of Biomass from Elemental Analysis Using Available Electron Concepts, Biotechnology and Bioengineering, 23 (1981), 9, pp. 2051-2067
- Battley E. H., A Theoretical Study of the Thermodynamics of Microbial Growth Using Saccharomyces Cerevisiae and a Different Free Energy Equation, The Quarterly Review of Biology, 88 (2013), 2, pp. 69-96
- Battley, E. H., An Empirical Method for Estimating the Entropy of Formation and the Absolute Entropy of Dried Microbial Biomass for use in Studies on the Thermodynamics of Microbial Growth, Thermochimica Acta, 326 (1999), 1-2, pp. 7-15
- Battley, E. H., The Development of Direct and Indirect Methods for the Study of the Thermodynamics of Microbial Growth. Thermochimica Acta, 309 (1998), 1-2, pp. 17-37
- Battley, E. H., On the Enthalpy of Formation of Escherichia coli K‐12 cells, Biotechnology and Bioengineering, 39 (1992), 1, pp. 5-12
- Bauer, S., Ziv, E., Dense Growth of Aerobic Bacteria in a Bench‐Scale Fermentor, Biotechnology and Bioengineering, 18 (1976), 1, pp. 81-94
- Geerlof, A., M9 Mineral Medium, Helmholtz Center Munich, available at: www.helmholtz-muenchen.de/fileadmin/PEPF/Protocols/M9-medium_150510.pdf, 2010
- ***, Cold Spring Harbor Protocols, M9 Minimal Medium (standard), Cold Spring Harbor Laboratory, available at: doi.org/10.1101/pdb.rec12295, 2022
- Xing, W., et al., Oxygen Solubility, Diffusion Coefficient, and Solution Viscosity, in: Rotating Electrode Methods and Oxygen Reduction Electrocatalysts, Elsevier, Amsterdam, The Netherlands, 2014, pp. 1-31
- Atkins, P. W., de Paula, J., Physical Chemistry for the Life Sciences, 2nd ed., W. H. Freeman and Company, New York, USA, 2011
- Atkins, P. W., de Paula, J., Physical Chemistry: Thermodynamics, Structure, and Change, 10th ed., W. H. Freeman and Company, New York, USA, 2014
- Rard, J. A., Wolery, T. J., The Standard Chemical-Thermodynamic Properties of Phosphorus and Some of its Key Compounds and Aqueous Species: An Evaluation of Differences between the Previous Recommendations of NBS/NIST and CODATA, J. of Solution Chem., 36 (2007), 11-12, pp. 1585-1599
- Kielland, J., Individual Activity Coefficients of Ions in Aqueous Solutions, Journal of the American Chemical Society, 59 (1937), 9, pp. 1675-1678
- Skoog, D. A., et al., Fundamentals of Analytical Chemistry, 9th ed., Cengage Learning, Boston, Mass., USA, 2013
- Popovic, M., Omicron BA.2.75 Sublineage (Centaurus) Follows the Expectations of the Evolution Theory: Less Negative Gibbs Energy of Biosynthesis Indicates Decreased Pathogenicity, Microbiology Research, 13 (2022), 4, pp. 937-952
- Heijnen, J. J., A Thermodynamic Approach to the Black Box Model, in:, Biothermodynamics: The Role of Thermodynamics in Biochemical Engineering, (ed. Urs von Stockar), EPFL Press, Lausanne, Switzerland, 2013, pp. 443-473
- Heijnen, J. J., Van Dijken, J. P., In Search of a Thermodynamic Description of Biomass Yields for the Chemotrophic Growth of Microorganisms, Biotechnology and Bioengineering, 39 (1992), 8, pp. 833-858
- Liu, J. S., et al., A Comparison of Various Gibbs Energy Dissipation Correlations for Predicting Microbial Growth Yields, Thermochimica Acta, 458 (2007), 1-2, pp. 38-46
- Roels, J. A., Energetics and Kinetics in Biotechnology, Elsevier, Amsterdam, The Netherlands, 1983
- Von Stockar, U., et al., Thermodynamic Analysis of Metabolic Pathways, in: Biothermodynamics: the Role of Thermodynamics in Biochemical Engineering, (ed. von Stockar, U.,) EPFL Press, Lausanne, Switzerland, 2013, pp. 581-604
- Popovic, M., et al., Thermodynamics of Hydrolysis of Cellulose to Glucose from 0 to 100 C°: Cellulosic Biofuel Applications and Climate Change Implications, The Journal of Chemical Thermodynamics, 128 (2019), Jan., pp. 244-250
- Popovic, M., Biothermodynamic Key Opens the Door of Life Sciences: Bridging the Gap between Biology and Thermodynamics, Preprints, doi.org/10.20944/preprints202210.0326.v1, 2022
- Popovic, M., Biothermodynamics of Viruses from Absolute Zero (1950) To - Virothermodynamics (2020), Vaccines, 10 (2022), 12, 2112
- Demirel, Y., Nonequilibrium Thermodynamics: Transport and Rate Processes in Physical, Chemical and Biological Systems, 3rd ed., Elsevier, Amsterdam, The Netherlands, 2014
- Hellingwerf, K. J., et al., Energetics of Microbial Growth: An Analysis of the Relationship Between Growth and its Mechanistic Basis by Mosaic Non‐Equilibrium Thermodynamics, FEMS Microbiology Letters, 15 (1982), 1, pp. 7-17
- Westerhoff, H. V., et al., Thermodynamics of Growth. Non-Equilibrium Thermodynamics of Bacterial Growth: The Phenomenological and the Mosaic Approach, Biochimica et Biophysica Acta (BBA) - Reviews on Bioenergetics, 683 (1982), 3-4, pp. 181-220
- De Paepe, M., Petit, M. A., Phage Predation: Killing the killers, eLife, 3 (2014), e04168
- Jover, L. F., et al., The Elemental Composition of Virus Particles: Implications for Marine Biogeochemical Cycles, Nature Reviews. Microbiology, 12 (2014), 7, pp. 519-528