Abstract
Catalysts, artificially or naturally generated, are often considered to be important factors in numerous chemical processes. Although each catalyst can act under its own characteristics, the efficiency of chemical interactions can be enhanced by a balanced combination of different catalysts. On the other hand, many game-theoretical results have been widely applied to seek the optimal or balanced state for efficiency regulation, resource control, portfolio allocation, and behavior simulation in modern academic literature. Based on game-theoretical approaches under actual chemical and biochemical environments, this article aims to analyze, construct, simulate, and derive the most efficient optimal or balanced combinations for a group of catalysts with different conditions and actions. In this article, a power index is proposed by simultaneously focusing on the factors and its active levels. In order to analyze the accuracy and rationality of this power index, we adopt usual axioms to offer some characterizations. In conjunction with the constructed game-theoretical results that are related to chemical and biochemical environments, this article further analyzes, verifies, and demonstrates the validity, accuracy, feasibility, plausibility, and applicability of the combination of catalysts with different conditions and actions.
Highlights
Catalysts, artificially or naturally generated, are often considered to be important factors in numerous chemical processes
Ntana et al [5] described key steps in protein synthesis and secretion that may limit the production efficiency in Aspergillus systems and present genetic engineering approaches and bioprocessing strategies that have been adopted in order to improve recombinant protein titers and expand the potential of Aspergilli as competitive production platforms; single-atom catalysts (SACs), consisting of metals atomically dispersed on a support, are considered as advanced materials bridging homogeneous and heterogeneous catalysis, representing the catalysis at the limit
It is demonstrated that the main advantage of the multi-choice level-individual index (MLII) and related characterization is that the MLII of a multi-choice TU circumstance absolutely exists and it generates an exact effect for a given factor reacting at a given active level that is different from the usual viewpoint with multi-choice TU circumstances, which determines a type of global effect for a given factor by collecting the distinctions of this factor among its all active levels
Summary
Artificially or naturally generated, are often considered to be important factors in numerous chemical processes. The selected examples that were collected the advances related to the application of the sequential use of enzymes in natural or genetically modified combination; the study, due to Malgas and Pletschke [4] showed that using the activity of endo-mannanases displayed with model substrates is a poor predictor of their activity and synergism on complex lignocelluloses. Ntana et al [5] described key steps in protein synthesis and secretion that may limit the production efficiency in Aspergillus systems and present genetic engineering approaches and bioprocessing strategies that have been adopted in order to improve recombinant protein titers and expand the potential of Aspergilli as competitive production platforms; single-atom catalysts (SACs), consisting of metals atomically dispersed on a support, are considered as advanced materials bridging homogeneous and heterogeneous catalysis, representing the catalysis at the limit. The study of Pérez-Mayoral et al [6] summarized the most recent advances in terms of both synthetic strategies of producing porous carbon-derived SACs and its application to green synthesis of highly valuable compounds, an area in which the homogeneous catalysts are classically used
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