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Mathematical Framework for RNA - Protein Coevolution

21 September 2025   09:49 Diperbarui: 21 September 2025   09:49 27
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Ribosome as an archetypal co-adapted complex.
Ribosomes consist of ribosomal RNA and proteins functioning together as an inseparable catalytic machine. Their deep evolutionary conservation suggests that RNA--protein partnerships were present from the earliest stages, rather than emerging in isolation.

Codon--amino acid correlations.
Comparative analyses of proteomes reveal non-random associations between codon assignments, dipeptide frequencies, and protein thermostability. Such patterns imply that coding rules and protein structures co-influenced each other, leaving a coevolutionary imprint.

Fragility of partial systems.
A primitive RNA coding system without stabilizing proteins would likely degrade rapidly, while nascent peptides without a genetic template would lack reproducibility. In both cases, unsynchronized evolution would fail to sustain adaptive complexity.

Paradox of mutual necessity.
This creates a "chicken-and-egg" problem at the molecular level: proteins are needed for the translation machinery, but translation machinery is needed to produce proteins. The apparent simultaneity of their emergence is paradoxical when framed within linear evolutionary narratives.

The puzzle, therefore, is not simply which came first, but how mutually interdependent codes and structures could have stabilized together in the absence of foresight. Resolving this requires a framework that can model feedback, co-dependence, and emergent attractors in evolutionary dynamics. Complex Adaptive Systems theory provides precisely this conceptual and mathematical toolkit.

C. The promise of CAS for emergent coevolution

Complex Adaptive Systems (CAS) theory offers a natural framework for addressing the puzzle of synchronized molecular codes. Unlike linear narratives that emphasize sequential emergence, CAS emphasizes interactions, feedback, and emergent order across multiple levels of organization. Within this view, RNA and proteins are not independent entities competing for primacy, but interdependent agents embedded in a dynamic system.

Several features of CAS are directly applicable to RNA--protein coevolution:

1. Feedback-driven dynamics.
CAS formalism naturally captures mutual dependence: RNA fitness depends on protein partners, and protein fitness depends on RNA templates. This creates feedback loops that can drive the simultaneous stabilization of both systems.

2. Emergent attractors.
Rather than a single linear pathway, CAS models describe adaptive landscapes with multiple attractor basins. RNA--protein complexes, such as ribosomes or proto-enzymes, can emerge as stable attractors, where mutual compatibility reinforces persistence.

3. Epistasis and pleiotropy.
The mapping from genotype to phenotype is rarely additive. CAS explicitly models non-linear interactions, enabling the exploration of how codon assignments, dipeptide frequencies, and structural motifs reinforce or constrain each other.

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