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The Emergence of Eukaryotic Cells as a Phase Transition in Evolutionary Algorithms

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A recent collective effort by prominent scientists from Mainz, Valencia, Madrid, and Zurich has resulted in a significant advancement in our understanding of evolutionary biology. Their research, published in the journal PNAS, focuses on a pivotal moment in Earth’s biological history: the emergence of the eukaryotic cell, marking a profound increase in complexity of life. Though the endosymbiotic theory has garnered broad acceptance, the vast time span since the merger of Archaea and Bacteria has contributed to the scarcity of evolutionary intermediates in the phylogenetic record, creating a so-called ‘black hole’ in our understanding. Dr. Enrique M. Muro, associated with Johannes Gutenberg University Mainz (JGU), described the study as a combination of theoretical and observational methods that quantitatively explore the genetic changes that enabled this notable rise in complexity.

Proteins and protein coding genes increase in length

The findings detailed in PNAS illustrate that distributions of protein lengths and their related genes exhibit log-normal characteristics throughout the tree of life. To reach this conclusion, the research team analyzed an extensive dataset comprising 9,913 unique proteomes and 33,627 genomes. Log-normal distributions typically emerge from multiplicative processes, leading researchers to apply Ockham’s razor in modeling the evolution of gene length as a stochastic process involving multiple genetic operators. From the hypothetical Last Universal Common Ancestor (LUCA), from which all life forms evolved, the study indicates that both average gene and protein lengths have undergone exponential changes over evolutionary time. Furthermore, a scaling-invariant mechanism of gene length increase was identified, where variance is directly correlated to average protein length. This robust dataset allowed the team to validate their theoretical predictions, establishing that average gene length is an effective indicator of organismal complexity. Dr. Bartolo Luque from the Polytechnic University of Madrid highlighted the utility of this finding, noting that knowing a species’ average protein-coding gene length allows for estimating the entire distribution of gene lengths within that species.

Analysis of average protein lengths and their corresponding gene lengths across varied species reveals that these attributes evolve concurrently in prokaryotes due to the minimal presence of non-coding sequences. However, when the average gene length surpasses 1,500 nucleotides, an intriguing decoupling occurs. The average protein length stabilizes following the emergence of eukaryotic cells, which typically average 500 amino acids at this critical juncture. In contrast, the average gene length continues to increase in eukaryotes because of the incorporation of non-coding sequences.

Algorithmic phase transition

Critical phenomena analysis suggests that a significant phase transition, akin to those observed in the physics of magnetic materials, happens at a gene length of 1,500 nucleotides, heralding the dawn of eukaryogenesis. This transition delineates two major phases of evolutionary development: the coding phase represented by prokaryotes and the non-coding phase characteristic of eukaryotes. Specific phenomena associated with this transition, such as critical slowing down, have been documented in early protists and fungi. Dr. Fernando Ballesteros from the University of Valencia affirmed these observations.

Professor Jordi Bascompte from the University of Zurich described the phase transition as algorithmic in nature. During the coding phase, in scenarios reflective of LUCA with shorter proteins, extending the length of proteins and corresponding genes was relatively straightforward. However, as protein lengths expanded, it became impractical to identify longer proteins. This growing challenge was addressed with the integration of non-coding sequences, leading to a rapid reduction in the computational complexity involved in searching for new proteins, transitioning to a non-linear process. This pivotal evolution, synchronizing transcription and splicing to occur separately from translation, is marked at the critical point of transition approximately 2.6 billion years ago.

The recent publication in PNAS not only provides crucial insights but also represents an interdisciplinary collaboration that merges computational biology, evolutionary biology, and physics. Dr. Enrique Muro emphasized its potential to engage a diverse audience and inspire further research inquiries across fields such as energy and information theory. The emergence of the eukaryotic cell is recognized as one of the most profound complexity increments in life’s evolutionary timeline, setting the stage for subsequent transformative developments such as multicellularity, the evolution of sexual reproduction, and the establishment of social organisms that have shaped life as we perceive it today.

Source
www.sciencedaily.com

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