Systems theory, thermodynamics and life: Integrated thinking across ecology, organization and biological evolution

Short- and Long-Term Evolution of Microbial Cultures: A Thermodynamic Perspective

A thermodynamic description of cell duplication reflects Odum's view of a feedback energy loop that sustains the transformation of the energy of substrates in the (higher quality) energy of new microbial cells with the dissipation of heat and the (lower quality) energy of catabolites. For a closed batch microbial culture, entropy increases during the whole growth and decay cycle, i.e., the production of entropy during the growth phase displays a rate proportional to the number of cell duplications per unit time, while during the decay phase, it depends on the death rate. Because of its high mobility, water is assumed to exhibit the same thermodynamic activity throughout the system. This assumption leads to the conclusion that an osmotic balance exists between cells and their surrounding medium, which, in a closed batch culture, can affect the rate and the extent of the microbial growth. Finally, the paper suggests a thermodynamic interpretation of the increase in fitness observed in a long-term evolution experiment (LTEE), based on the supposed exergy difference between the generating and generated cells in each duplication, which is also a measure of the "age" of the cells, i.e., aged cells die first. This produces microbial cultures richer in cells with enhanced duplication potential after the many thousand generations considered in an LTEE.

Ervin Bauer and the foundations of theoretical biology

Ervin Bauer (1890-1938) outlined the paradigm of theoretical biology in his monograph "Fundamental Principles of Biology as Pure Natural Science and their Applications in Physiology and Pathology" (1920) and further developed these ideas in his book "Theoretical Biology" (1935). In these works, he defined the foundations of theoretical biology from the perspective of biophysics and bioenergetics, formulated the principle of a sustainable non-equilibrium state, which is continuously maintained by all biological systems throughout their life, and developed original views on cell differentiation, adaptation, and evolution. In 1938, Ervin Bauer and his wife Stefánia became the victims of Stalin's Great Terror. The book of 1920 was published in 1920 in German. It outlines the main principles of Bauer's concept. Bauer's magnum opus "Theoretical Biology" (1935) was published in Russian and republished in 1967 in Hungarian (together with the monograph of 1920) and several times in Russian. Immediately after the Russian edition appeared, two chapters were also published in German translation. Only small excerpts of the book were published in English translation. Here we present a complete English translation of both books. The books contain many important ideas that remain actual today and have great potential for further development in modern concepts of the foundations of life, the structure of living matter, and evolution.

(R)evolution of Viruses: Introduction to biothermodynamics of viruses

As of 26 April 2024, the International Committee on Taxonomy of Viruses has registered 14690 virus species. Of these, only several dozen have been chemically and thermodynamically characterized. Every virus species is characterized by a specific empirical formula and thermodynamic properties - enthalpy, entropy and Gibbs energy. These physical properties are used in a mechanistic model of virus-host interactions at the cell membrane and in the cytoplasm. This review article presents empirical formulas and Gibbs energies for all major variants of SARS-CoV-2. This article also reports and suggests a mechanistic model of evolutionary changes, with the example of time evolution of SARS-CoV-2 from 2019 to 2024.

Developmental noise, entropy, and biological system condition

Developmental noise is considered as a permissible level of entropy, as a compromise between the cost and needed precision of the realization of genetic information. In terms of entropy, noise is a measure of acceptable level of disorder to ensure a reliable system operation. Developmental noise plays a role in the observed phenotypic diversity and is associated with other indicators of the biological system condition. The thermodynamic characteristic of entropy by the energy metabolism also turns out to be related to the developmental noise. Phenotypic variability is largely determined by developmental homeostasis, including both canalization (an ability to form a similar phenotype under different conditions) and developmental stability (a capability for perfect development measured by noise level). It is shown that the change in the noise level, as an expression of the certain entropy level, unlike other forms of phenotypic variability, is a reflection of a change in the system condition. Although the entropy indices of ontogeny and community under certain conditions can change simultaneously, the entropy index at the level of developmental noise proves to be a more unambiguous and universal measure of the disorder of a biological system, compared to biodiversity indices at the community level.

Size matters in metabolic scaling: Critical role of the thermodynamic efficiency of ATP synthesis and its dependence on mitochondrial H+ leak across mammalian species

In this last article of the trilogy, the unified biothermokinetic theory of ATP synthesis developed in the previous two papers is applied to a major problem in comparative physiology, biochemistry, and ecology-that of metabolic scaling as a function of body mass across species. A clear distinction is made between intraspecific and interspecific relationships in energy metabolism, clearing up confusion that had existed from the very beginning since Kleiber first proposed his mouse-to-elephant rule almost a century ago. It is shown that the overall mass exponent of basal/standard metabolic rate in the allometric relationship [Formula: see text] is composed of two parts, one emerging from the relative intraspecific constancy of the slope (b), and the other (b') arising from the interspecific variation of the mass coefficient, a(M) with body size. Quantitative analysis is shown to reveal the hidden underlying relationship followed by the interspecific mass coefficient, a(M)=P0M0.10, and a universal value of P0=3.23 watts, W is derived from empirical data on mammals from mouse to cattle. The above relationship is shown to be understood only within an evolutionary biological context, and provides a physiological explanation for Cope's rule. The analysis also helps in fundamentally understanding how variability and a diversity of scaling exponents arises in allometric relations in biology and ecology. Next, a molecular-level understanding of the scaling of metabolism across mammalian species is shown to be obtained by consideration of the thermodynamic efficiency of ATP synthesis η, taking mitochondrial proton leak as a major determinant of basal metabolic rate in biosystems. An iterative solution is obtained by solving the mathematical equations of the biothermokinetic ATP theory, and the key thermodynamic parameters, e.g. the degree of coupling q, the operative P/O ratio, and the metabolic efficiency of ATP synthesis η are quantitatively evaluated for mammals from rat to cattle. Increases in η (by ∼15%) over a 2000-fold body size range from rat to cattle, primarily arising from an ∼3-fold decrease in the mitochondrial H+ leak rate are quantified by the unified ATP theory. Biochemical and mechanistic consequences for the interpretation of basal metabolism, and the various molecular implications arising are discussed in detail. The results are extended to maximum metabolic rate, and interpreted mathematically as a limiting case of the general ATP theory. The limitations of the analysis are pointed out. In sum, a comprehensive quantitative analysis based on the unified biothermokinetic theory of ATP synthesis is shown to solve a central problem in biology, physiology, and ecology on the scaling of energy metabolism with body size.

Coupling and biological free-energy transduction processes as a bridge between physics and life: Molecular-level instantiation of Ervin Bauer's pioneering concepts in biological thermodynamics

The nonequilibrium coupled processes of oxidation and ATP synthesis in the biological process of oxidative phosphorylation (OXPHOS) are fundamental to all life on our planet. These steady-state energy transduction processes ‒ coupled by proton and anion/counter-cation concentration gradients in the OXPHOS pathway ‒ generate ∼95 % of the ATP requirement of aerobic systems for cellular function. The rapid energy cycling and homeostasis of metabolites involved in this coupling are shown to be responsible for maintenance and regulation of stable nonequilibrium states, the latter first postulated in pioneering biothermodynamics work by Ervin Bauer between 1920 and 1935. How exactly does this occur? This is shown to be answered by molecular considerations arising from Nath's torsional mechanism of ATP synthesis and two-ion theory of energy coupling developed in 25 years of research work on the subject. A fresh analysis of the biological thermodynamics of coupling that goes beyond the previous work of Stucki and others and shows how the system functions at the molecular level has been carried out. Thermodynamic parameters, such as the overall degree of coupling, q of the coupled system are evaluated for the state 4 to state 3 transition in animal mitochondria with succinate as substrate. The actual or operative P to O ratio, the efficiency of the coupled reactions, η, and the Gibbs energy dissipation, Φ have been calculated and shown to be in good agreement with experimental data. Novel mechanistic insights arising from the above have been discussed. A fourth law/principle of thermodynamics is formulated for a sub-class of physical and biological systems. The critical importance of constraints and time-varying boundary conditions for function and regulation is discussed in detail. Dynamic internal structural changes essential for torsional energy storage within the γ-subunit in a single molecule of the FOF1-ATP synthase and its transduction have been highlighted. These results provide a molecular-level instantiation of Ervin Bauer's pioneering concepts in biological thermodynamics.