2011/10/02 by Wim Hordijk, Hordijk, Wim, Mike Steel +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Evolution and Genetic Dynamics #FOS: Biological sciences #Gene Regulatory Network Analysis #Origins and Evolution of Life #Populations and Evolution (q-bio.PE) #Stochastic processes and statistical mechanics #q-bio.PE
paper · pdf · doi:10.48550/arxiv.1110.0256
16 pages, 6 figures, 2 tables
openalex publication_date 2011/10/02 · arxiv created 2011/10/05 · arxiv updated 2011/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that in a particular model of catalytic reaction systems, known as the binary polymer model, there is a mathematical invariance between two versions of the model: (1) random catalysis and (2) template-based catalysis. In particular, we derive an analytical calculation that allows us to accurately predict the (observed) required level of catalysis in one version of the model from that in the other version, for a given probability of having self-sustaining autocatalytic sets exist in instances of both model versions. This provides a tractable connection between two models that have been investigated in theoretical origin-of-life studies.