In search of a thermodynamic description of biomass yields for the chemotrophic growth of microorganisms

Correlations for the prediction of biomass yields are valuable, and many proposals based on a number of parameters (Y(ATP), Y(Ave), eta(o), Y(c), Gibbs energy efficiencies, and enthalpy efficiencies) have been published. This article critically examines the properties of the proposed parameters with respect to the general applicability to chemotrophic growth systems, a clear relation to the Second Law of Thermodynamics, the absence of intrinsic problems, and a requirement of only black box information. It appears that none of the proposed parameters satisfies all these requirements. Particularly, the various energetic efficiency parameters suffer from major intrinsic problems. However, this article will show that the Gibbs energy dissipation per amount of produced biomass (kJ/C-mod) is a parameter which satisfies the requirements without having intrinsic problems. A simple correlation is found which provides the Gibbs energy dissipation/C-mol biomass as a function of the nature of the C-source (expressed as the carbon chain length and the degree of reduction). This dissipation appears to be nearly independent of the nature of the electron acceptor (e.g., O(2), No(3) (-), fermentation). Hence, a single correlation can describe a very wide range of microbial growth systems. In this respect, Gibbs energy dissipation is much more useful than heat production/C-mol biomass, which is strongly dependent on the electron acceptor used. Evidence is presented that even a net heat-uptake can occur in certain growth systems.The correlation of Gibbs energy dissipation thus obtained shows that dissipation/C-mol biomass increases for C-sources with smaller chain length (C(6) --> C(1)), and increases for both higher and lower degrees of reduction than 4. It appears that the dissipation/C-mol biomass can be regarded as a simple thermodynamic measure of the amount of biochemical "work" required to convert the carbon source into biomass by the proper irreversible carbon-carbon coupling and oxidation/reduction reactions. This is supported by the good correlation between the theoretical ATP requirement for biomass formation on different C-sources and the dissipation values (kJ/C-mol biomass) found. The established correlation for the Gibbs energy dissipation allows the prediction of the chemotrophic biomass yield on substrate with an error of 13% in the yield range 0.01 to 0.80 C-mol biomass/(C)-mol substrate for aerobic/anaerobic/denitrifying growth systems.     

Thermodynamics of microbial growth and metabolism: an analysis of the current situation

This paper attempts to review in how far thermodynamic analysis can be used to understand and predict the performance of microorganisms with respect to growth and bio-product synthesis. In the first part, a simple thermodynamic model of microbial growth is developed which explains the relationship between the driving force for growth in terms of Gibbs energy dissipation and biomass yield. From the currently available literature, it appears that the Gibbs energy dissipation per C-mol of biomass grown, which represents the driving force for chemotrophic growth, may have been adapted by evolutionary processes to strike a reasonable compromise between metabolic rate and growth efficiency. Based on empirical correlations of the C-molar Gibbs energy dissipation, the wide variety of biomass yields observed in nature can be explained and roughly predicted. This type of analysis may be highly useful in environmental applications, where such wide variations occur. It is however not able to predict biomass yields in very complex systems such as mammalian cells nor is it able to predict or to assess bio-product or recombinant protein yields. For this purpose, a much more sophisticated treatment that accounts for individual metabolic pathways separately is required. Based on glycolysis as a test example, it is shown in the last part that simple thermodynamic analysis leads to erroneous conclusions even in well-known, simple cases. Potential sources for errors have been analyzed and can be used to identify the most important needs for future research.     

How Geobacteraceae may dominate subsurface biodegradation: physiology of Geobacter metallireducens in slow-growth habitat-simulating retentostats

Geobacteraceae dominate many iron-reducing subsurface environments and are associated with biodegradation of organic pollutants. In order to enhance the understanding of the environmental role played by Geobacteraceae , the physiology of Geobacter metallireducens was investigated at the low growth rates found in its subsurface habitat. Cultivation in retentostats (a continuous culturing device with biomass retention) under electron acceptor and electron donor limitation enabled growth rates as low as 0.0008 h⁻¹. The maximum growth yield was between 0.05 and 0.09 C-mol biomass per C-mol acetate and comparable to that observed in batch experiments. Maintenance energy demand is among the lowest reported for heterotrophic bacteria, under both acetate and AQDS limitation. The cells were able to use alternative electron acceptors directly, without requiring de novo protein synthesis. We discuss how the extremely low maintenance energy demand and the ability to readily use alternative electron acceptors may help Geobacter species to become ubiquitous and dominant microorganisms in many iron-reducing subsurface settings.     

Energetics of syntrophic propionate oxidation in defined batch and chemostat cocultures

Propionate consumption was studied in syntrophic batch and chemostat cocultures of Syntrophobacter fumaroxidans and Methanospirillum hungatei. The Gibbs free energy available for the H(2)-consuming methanogens was <-20 kJ mol of CH(4)(-1) and thus allowed the synthesis of 1/3 mol of ATP per reaction. The Gibbs free energy available for the propionate oxidizer, on the other hand, was usually >-10 kJ mol of propionate(-1). Nevertheless, the syntrophic coculture grew in the chemostat at steady-state rates of 0.04 to 0. 07 day(-1) and produced maximum biomass yields of 2.6 g mol of propionate(-1) and 7.6 g mol of CH(4)(-1) for S. fumaroxidans and M. hungatei, respectively. The energy efficiency for syntrophic growth of S. fumaroxidans, i.e., the biomass produced per unit of available Gibbs free energy was comparable to a theoretical growth yield of 5 to 12 g mol of ATP(-1). However, a lower growth efficiency was observed when sulfate served as an additional electron acceptor, suggesting inefficient energy conservation in the presence of sulfate. The maintenance Gibbs free energy determined from the maintenance coefficient of syntrophically grown S. fumaroxidans was surprisingly low (0.14 kJ h(-1) mol of biomass C(-1)) compared to the theoretical value. On the other hand, the Gibbs free-energy dissipation per mole of biomass C produced was much higher than expected. We conclude that the small Gibbs free energy available in many methanogenic environments is sufficient for syntrophic propionate oxidizers to survive on a Gibbs free energy that is much lower than that theoretically predicted.     

Does microbial life always feed on negative entropy? Thermodynamic analysis of microbial growth.

Schr?dinger stated in his landmark book, What is Life?, that life feeds on negative entropy. In this contribution, the validity of this statement is discussed through a careful thermodynamic analysis of microbial growth processes. In principle, both feeding on negative entropy, i.e. yielding products of higher entropy than the substrates, and generating heat can be used by microorganisms to rid themselves of internal entropy production resulting from maintenance and growth processes. Literature data are reviewed in order to compare these two mechanisms. It is shown that entropy-neutral, entropy-driven, and entropy-retarded growth exist. The analysis of some particularly interesting microorganisms shows that enthalpy-retarded microbial growth may also exist, which would signify a net uptake of heat during growth. However, the existence of endothermic life has never been demonstrated in a calorimeter. The internal entropy production in live cells also reflects itself in the Gibbs energy dissipation accompanying growth, which is related quantitatively to the biomass yield. An empirical correlation of the Gibbs energy dissipation in terms of the physico-chemical nature of the growth substrate has been proposed in the literature and can be used to predict the biomass yield approximately. The ratio of enthalpy change and Gibbs energy change can also be predicted since it is shown to be approximately equal to the same ratio of the relevant catabolic process alone.     

A new thermodynamically based correlation of chemotrophic biomass yields

A new, generally applicable, thermodynamically based method is proposed to provide an estimation of the biomass yield on arbitrary organic and inorganic substrates. Aerobic, anaerobic, denitrifying growth systems with and without reversed electrontransport are covered. The biomass yield can be estimated with only 15% error in a very wide range of microbial growth systems and biomass yields (0.01–0.80 C-mol/(C)-mol). This method is based on the use of Gibbs energy dissipared per C-mol produced biomass (designated as D _infS ^sup01 /r_Ax) as the central parameter. Moreover the insufficiency of other methods based on Y_ATP, Y_Ave, ₀, Y_C and enthalpy or Gibbs energy efficiencies is shortly discussed. Also it appeared to be possible to understand the obtained correlation of D _infS ^sup01 /r_Ax in general biochemical terms.     

Anaerobic Growth of Microorganisms with Chlorate as an Electron Acceptor

The ability of microorganisms to use chlorate (ClO₃^-) as an electron acceptor for respiration under anaerobic conditions was studied in batch and continuous tests. Complex microbial communities were cultivated anaerobically in defined media containing chlorate, all essential minerals, and acetate as the sole energy and carbon source. It was shown that chlorate was reduced to chloride, while acetate was oxidized to carbon dioxide and water and used as the carbon source for synthesis of new biomass. A biomass yield of 1.9 to 3.8 g of volatile suspended solids per equivalent of available electrons was obtained, showing that anaerobic growth with chlorate as an electron acceptor gives a high energy yield. This indicates that microbial reduction of chlorate to chloride in anaerobic systems is coupled with electron transport phosphorylation.     

Microbial growth by a net heat up-take: a calorimetric and thermodynamic study on acetotrophic methanogenesis by Methanosarcina barkeri

To answer the intriguing question whether or not endothermic microbial growth exists, and in particular, to verify Heijnen and van Dijken's prediction (1992), acetotrophic methanogen, Methanosarcina barkeri, has been cultivated in a highly sensitive bench-scale calorimeter (an improved Bio-RC1 reaction calorimeter) in a pH auxostat fashion. A growth yield of 0.043 C-mol C-mol(-1) has been obtained and a cell density as high as 3 g L(-1) was attained. Heat uptake during growth has indeed been quantitatively measured with calorimetry, resulting in a heat yield of +145 kJ C-mol(-1). Thermodynamics of the growth of acetotrophic methanogens was analyzed in detail. The changes in Gibbs energy, enthalpy, and entropy during growth of M. barkeri were compared with some typical aerobic and anaerobic growth processes of different microorganisms on various substrates. In the growth of M. barkeri on acetate, the retarding effect of the positive enthalpy change on the driving force of growth is overcompensated by the large positive entropy change, resulting from converting one organic molecule (acetic acid) to two gaseous products, CH(4) and CO(2). Both the enthalpy and the entropy increases are due partially to the transition of these two products into the gaseous phase. The thermodynamic role of this phase transition for the growth process is analyzed. Microbial growth characterized by enthalpy increase and correspondingly by a large increase in entropy may be called enthalpy-retarded growth.     

Growth kinetics of glucose-limited petunia hybrida cells in chemostat cultures: Determination of experimental values for growth and maintenance parameters

With glucose-limited continuous cultures of Petunia hybrida six steady states were obtained at specific growth rates varying from 0.0035 to 0.012 h(-1) (corresponding with culture residence times varying from 285 to 85 h). The macromolecular and the elemental biomass composition which were determined in four steady states showed no major differences over the range of growth rates examined. During all six steady states specific subtrate and oxygen consumption as well as biomass and extracellular product formation rates were monitored. Moreover the specific activities of the mitochondrial cytochrome and alternative pathway were determined and used to estimate specific adenosine triphosphate (ATP) production rates. Data thus obtained were used in the determination of maintenance and true growth yield parameters. For the maintenance on glucose and ATP values of 0.0070 C-mol/C-mol/h and 0.034 mol/C-mol/h were obtained, respectively. True yields of biomass on glucose and ATP were 0.50 C-mol/C-mol and 0.28 C-mol/mol, respectively. (c) 1995 John Wiley & Sons, Inc.     

Metabolomic analyses show that electron donor and acceptor ratios control anaerobic electron transfer pathways in Shewanella oneidensis

This study investigated the physiological impact of changing electron donor–acceptor ratios on electron transfer pathways in the metabolically flexible subsurface bacterium Shewanella oneidensis, using batch and chemostat cultures, with an azo dye (ramazol black B) as the model electron acceptor. Altering the growth rate did result in changes in biomass yield, but not in other key physiological parameters including the total cytochrome content of the cells, the production of extracellular flavin redox shuttles or the potential of the organism to reduce the azo dye. Dramatic increases in the ability to reduce the dye were noted when cells were grown under conditions of electron acceptor (fumarate) limitation, although the yields of extracellular redox mediators (flavins) were similar under conditions of electron donor (lactate) or acceptor limitation. FT-IR spectroscopy confirmed shifts in the metabolic fingerprints of cells grown under these contrasting conditions, while spectrophotometric analyses supported a critical role for c-type cytochromes, expressed at maximal concentrations under conditions of electron acceptor limitation. Finally, key intracellular metabolites were quantified in batch experiments at various electron donor and acceptor ratios and analysed using discriminant analysis and a Bayesian network to construct a central metabolic pathway model for cells grown under conditions of electron donor or acceptor limitation. These results have identified key mechanisms involved in controlling electron transfer in Shewanella species, and have highlighted strategies to maximise reductive activity for a range of bioprocesses.     

Determination of the maximum product yield from glucoamylase-producing Aspergillus niger grown in the recycling fermentor

Aspergillus niger has been grown in glucose- and maltose-limited recycling cultures to determine the maximum growth yield, the maximum product yield for glucoamylase production, and the maintenance requirements at very slow specific growth rates. Using the linear equation for substrate utilization, and using the experimental data from both recycling experiments, both the maximum growth yield, Y_xsm, and the maximum product yield, Y_psm, could be determined. The values estimated were 157 g biomass per mol maltose for Y_xsm and 100 g protein per mol maltose for Y_psm. Expressed on a C₁-basis these values are 0.52 and 0.36 C-mole per C-mol for respectively Y_xsm and Y_psm. The found value for Y_psm is half the value found for alkaline serine protease production in Bacillus lichoniformis, and it can be concluded that formation of extracellular protein is more energy consuming in filamentous fungi than in prokaryotic organisms. Maintenance requirements are no significant factor during growth of Aspergillus niger, and reported maintenance requirements are most probably due to differentiation.     

Energetics of Syntrophic Propionate Oxidation in Defined Batch and Chemostat Cocultures

Propionate consumption was studied in syntrophic batch and chemostat cocultures of Syntrophobacter fumaroxidans and Methanospirillum hungatei. The Gibbs free energy available for the H₂-consuming methanogens was <−20 kJ mol of CH₄⁻¹ and thus allowed the synthesis of 1/3 mol of ATP per reaction. The Gibbs free energy available for the propionate oxidizer, on the other hand, was usually >−10 kJ mol of propionate⁻¹. Nevertheless, the syntrophic coculture grew in the chemostat at steady-state rates of 0.04 to 0.07 day⁻¹ and produced maximum biomass yields of 2.6 g mol of propionate⁻¹ and 7.6 g mol of CH₄⁻¹ for S. fumaroxidans and M. hungatei, respectively. The energy efficiency for syntrophic growth of S. fumaroxidans, i.e., the biomass produced per unit of available Gibbs free energy was comparable to a theoretical growth yield of 5 to 12 g mol of ATP⁻¹. However, a lower growth efficiency was observed when sulfate served as an additional electron acceptor, suggesting inefficient energy conservation in the presence of sulfate. The maintenance Gibbs free energy determined from the maintenance coefficient of syntrophically grown S. fumaroxidans was surprisingly low (0.14 kJ h⁻¹ mol of biomass C⁻¹) compared to the theoretical value. On the other hand, the Gibbs free-energy dissipation per mole of biomass C produced was much higher than expected. We conclude that the small Gibbs free energy available in many methanogenic environments is sufficient for syntrophic propionate oxidizers to survive on a Gibbs free energy that is much lower than that theoretically predicted.