The estimates of metal-ligand equilibrium constants at 25°C and 1 bar were made using multiple linear free energy relationships in accordance with the metal-coordinating properties of ligands such as denticity, identity of electron donor group, inductive effects and steric hindrance. Analogous relationships were made to estimated metal-ligand complexation entropy that facilitated calculation of equilibrium constants up to 125°C using the van’t Hoff equation. These estimates were made for over 250 ligands that include carboxylic acids, phenols, inorganic acids, amino acids, peptides and proteins.
The stability constants mentioned above were used to obtain metal speciation in several microbial growth media including past bioavailability studies and compositions listed on the DSMZ website. Speciation calculations were also carried out for several metals in blood plasma and cerebrospinal fluid that include metals present at over micromolar abundance (sodium, potassium, calcium, magnesium, iron, copper and zinc) and metals of therapeutic or toxic potential (like gallium, rhodium and bismuth). Metal speciation was found to be considerably dependent on pH and chelator concentration that can help in the selection of appropriate ligands for gallium & rhodium based anticancer drugs and zinc-based antidiabetics. It was found that methanobactin can considerably alter copper speciation and is therefore a suitable agent for the treatment of Wilson Disease. Additionally, bismuth neurotoxicity was attributed to the low transferrin concentration in cerebrospinal fluid and the predominance of aqueous bismuth trihydroxide. These results demonstrate that metal speciation calculations using thermodynamic modeling can be extremely useful for understanding metal bioavailability in microbes and human bodily fluids.
Sulfur oxidation is a process that is seen a wide variety of places. One particular place is Yellowstone national park where an abundance of hot springs are present. These acidic and hot places are prime locations for sulfur oxidation to occur. At a very basic level this is thought of as Sulfur, oxygen, and water forming sulfate and hydrogen. Many other reactions occur when an organism performs these processes, and many enzymes are used for this. This paper aimed to create, balance, and analyze the reactions involved in the paper Sulfur Oxidation in the Acidophilic Autotrophic Acidithiobacillus spp. (Wang et al., 2019) Once these reactions were balanced thermodynamic properties were found to evaluate the Gibbs Free Energy of these reactions. This allowed for a unique energy-based view of how this web of reactions relate to each other.
Through the application of the approach, microbiological interactions in serpentinized fluids were found to be more complex than anticipated. Serpentinized fluids are hyperalkaline and pH is often considered the driving parameter of microbial diversity, however hydrogenotrophic community composition varies in hyperalkaline fluids with similar pH. The composition of hydrogenotrophic communities in serpentinized fluids were found to correspond to the availability of the electron acceptor for hydrogenotrophic redox reactions. Specifically, hydrogenotrophic community composition transitions from being dominated by the hydrogenotrophic methanogen genus, Methanobacterium, when the concentration of sulfate is less than ~10 μm. Above ~10 μm, sulfate reducers are most abundant. Additionally, Methanobacterium was found to co-occur with the protist genus, Cyclidium, in serpentinized fluids. Species of Cyclidium are anaerobic and known to have methanogen endosymbionts. Therefore, Cyclidium may supply inorganic carbon evolved from fermentation to Methanobacterium, thereby mitigating pH dependent inorganic carbon limitation.
This approach also revealed possible biological mechanisms for methane oxidation in Yellowstone hot springs. Measurable rates of biological methane oxidation in hot spring sediments are likely associated with methanotrophs of the phylum, Verrucomicrobia, and the class, Alphaproteobacteria. Additionally, rates were measurable where known methanotrophs were not detected. At some of these sites, archaeal ammonia oxidizer taxa were detected. Ammonia oxidizers have been shown to be capable of methane oxidation in other systems and may be an alternative mechanism for methanotrophy in Yellowstone hot springs. At the remaining sites, uncharacterized microbial lineages may be capable of carrying out methane oxidation in Yellowstone hot springs.
Extreme events, a type of collective behavior in complex networked dynamical systems, often can have catastrophic consequences. To develop effective strategies to control extreme events is of fundamental importance and practical interest. Utilizing transportation dynamics on complex networks as a prototypical setting, we find that making the network “mobile” can effectively suppress extreme events. A striking, resonance-like phenomenon is uncovered, where an optimal degree of mobility exists for which the probability of extreme events is minimized. We derive an analytic theory to understand the mechanism of control at a detailed and quantitative level, and validate the theory numerically. Implications of our finding to current areas such as cybersecurity are discussed.
The relation between flux and fluctuation is fundamental to complex physical systems that support and transport flows. A recently obtained law predicts monotonous enhancement of fluctuation as the average flux is increased, which in principle is valid but only for large systems. For realistic complex systems of small sizes, this law breaks down when both the average flux and fluctuation become large. Here we demonstrate the failure of this law in small systems using real data and model complex networked systems, derive analytically a modified flux-fluctuation law, and validate it through computations of a large number of complex networked systems. Our law is more general in that its predictions agree with numerics and it reduces naturally to the previous law in the limit of large system size, leading to new insights into the flow dynamics in small-size complex systems with significant implications for the statistical and scaling behaviors of small systems, a topic of great recent interest.
We develop a general framework to analyze the controllability of multiplex networks using multiple-relation networks and multiple-layer networks with interlayer couplings as two classes of prototypical systems. In the former, networks associated with different physical variables share the same set of nodes and in the latter, diffusion processes take place. We find that, for a multiple-relation network, a layer exists that dominantly determines the controllability of the whole network and, for a multiple-layer network, a small fraction of the interconnections can enhance the controllability remarkably. Our theory is generally applicable to other types of multiplex networks as well, leading to significant insights into the control of complex network systems with diverse structures and interacting patterns.
Mesoscopic Interactions and Species Coexistence in Evolutionary Game Dynamics of Cyclic Competitions
Evolutionary dynamical models for cyclic competitions of three species (e.g., rock, paper, and scissors, or RPS) provide a paradigm, at the microscopic level of individual interactions, to address many issues in coexistence and biodiversity. Real ecosystems often involve competitions among more than three species. By extending the RPS game model to five (rock-paper-scissors-lizard-Spock, or RPSLS) mobile species, we uncover a fundamental type of mesoscopic interactions among subgroups of species. In particular, competitions at the microscopic level lead to the emergence of various local groups in different regions of the space, each involving three species. It is the interactions among the groups that fundamentally determine how many species can coexist. In fact, as the mobility is increased from zero, two transitions can occur: one from a five- to a three-species coexistence state and another from the latter to a uniform, single-species state. We develop a mean-field theory to show that, in order to understand the first transition, group interactions at the mesoscopic scale must be taken into account. Our findings suggest, more broadly, the importance of mesoscopic interactions in coexistence of great many species.
Dynamical systems based on the minority game (MG) have been a paradigm for gaining significant insights into a variety of social and biological behaviors. Recently, a grouping phenomenon has been unveiled in MG systems of multiple resources (strategies) in which the strategies spontaneously break into an even number of groups, each exhibiting an identical oscillation pattern in the attendance of game players. Here we report our finding of spontaneous breakup of resources into three groups, each exhibiting period-three oscillations. An analysis is developed to understand the emergence of the striking phenomenon of triple grouping and period-three oscillations. In the presence of random disturbances, the triple-group/period-three state becomes transient, and we obtain explicit formula for the average transient lifetime using two methods of approximation. Our finding indicates that, period-three oscillation, regarded as one of the most fundamental behaviors in smooth nonlinear dynamical systems, can also occur in much more complex, evolutionary-game dynamical systems. Our result also provides a plausible insight for the occurrence of triple grouping observed, for example, in the U.S. housing market.