From local Reactions to Global Emergence: Sheaf-theoretic Insights into Prebiotic Chemical Evolution | Chapter 4 | Chemistry and Biochemistry: Research Progress Vol. 9

 

The emergence of life required isolated prebiotic chemical reactions to integrate into coordinated systems, yet how this transition occurred across early Earth's diverse environments remains unclear. We present a mathematical framework using sheaf theory to model how local chemical processes in distinct microenvironments could have scaled to create global biochemical networks.

 

We systematically characterised ten prebiotic microenvironments—including hydrothermal vents, mineral surfaces, lipid membranes, and ice eutectic phases—using formal concept analysis to identify twelve key physicochemical attributes such as polar solvents, mineral catalysis, and redox gradients. These attributes define a topological space where microenvironments share common properties from open sets, allowing us to apply sheaf-theoretic methods.

 

Our sheaf construction shows that physicochemical attributes act as selective "carriers" that are active only in specific microenvironmental combinations. The locality and glueing conditions of the sheaf theory model how chemical processes maintain internal consistency while integrating across overlapping niches. This reveals hierarchical structures showing how attributes propagate across scales, with hydrothermal vents, mineral surfaces, and lipid membranes emerging as critical hubs concentrating multiple catalytic and compartmentalising properties.

 

These findings suggest prebiotic chemical evolution emerged not from a single optimal environment, but from the integration of disparate microenvironments, each contributing specialised conditions that collectively enabled complex biochemical networks. Our framework provides mathematical rigour for understanding prebiotic chemistry's spatial and functional organisation, offering predictive insights into which environmental combinations most likely facilitated life's origin.

 

 

Author(s) Details

Javier Burgos Salcedo
Facultad de Ingeniería, Fundación Universitaria San Mateo y Corporación Para la Investigación y la Innovación CIINAS, Colombia.

 

Please see the book here :- https://doi.org/10.9734/bpi/cbrp/v9/6861

 

Study on Ultimate Human Evolution: Cooperation of Cerebral and Five-fingernail Development | Chapter 3 | New Visions in Biological Science Vol. 3

Because these values are determined from whole genome sequences and are independent of genome size and species, the contents of the four DNA nucleotides were standardised to explore biological evolution. First, the cytosine (C) content estimated from the entire mitochondrial genome was found to indicate biological evolution. The reason why humans (Homo sapiens), whose mitochondrial C concentration is not the highest among the organisms studied, are the most advanced organism has also been investigated. The pileated woodpecker (Dryocopus pileatus) had the highest C content (0.347) of all the creatures studied, which led to the development of wings, which allowed for free dimensional behaviour in the sky. Cuvier's dwarf caiman (Paleosuchus palpebrosus) has the highest C content of any reptile (0.340), as well as hard skin to protect itself from predators and a powerful jaw to catch meal. Orangutans (Pongo abelii and P. pygmaeus) had the highest C content among mammalian mitochondrial genomes (0.327 and 0.324, respectively). Humans (Homo sapiens) had a C content of 0.313, while chimps (Pan troglodytes and P. paniscus) and gorillas (Gorilla gorilla) had C contents of 0.307–0.308. The monkeys with the highest mitochondrial C content have distinct physical features that are adaptations to tree-dwelling because they allow them to avoid ground predators and gather fruit. Their hand anatomy, in example, consists of five nails-covered fingers, and the functional and geometrical locations of the thumb relative to the other fingers are critical for grasping objects like branches. Furthermore, human mental growth may play a role in biological evolution. Thus, although human genetic structure does not always reflect this, the interaction of manipulating finger function and cerebral development resulted in the most complex biological evolution.

Author (S) Details

Kenji Sorimachi

Bioscience Laboratory, Environmental Engineering, Co. Ltd., Takasaki, Gunma, Japan.

View Book :- https://stm.bookpi.org/NVBS-V3/article/view/3932