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2412.16705

Exploring the Multifractal Behavior of the Human Genome T2T-CHM13v2.0: Graphical Representations and Cytogenetics

Yulián A. Álvarez-Ballesteros, Mario A. Quiroz-Juarez, José L. Del-Rio-Correa, Adrian M. Escobar-Ruiz

incompletemedium confidence
Category
math.DS
Journal tier
Specialist/Solid
Processed
Sep 28, 2025, 12:56 AM

Audit review

The paper’s core claims are plausible and internally consistent with standard CGR/multifractal practice and with the qualitative findings it reports (e.g., chr9 and chrY showing the widest spectra; MC(12) ≈ 2% error; BGR better at high-q, MC better at low-q; MC cannot reproduce fixed stripe-like patterns) . However, the paper does not fully specify key quantitative procedures (e.g., the discrete estimator for τ(q) from the two resolutions 4^10 and 4^12, or the exact formula for the “average percentage error” used to claim 2%) despite defining the continuum relations (Eqs. 5–7) and drawing aggregate conclusions . The candidate model solution precisely fills many methodological gaps (two-scale τ estimator, treatment of q<0 zeros, explicit E(model) definition, FCGR/k-mer equivalence), but it does not execute the computations or report numbers. Net: the paper is under-specified for reproducibility, and the model is a rigorous protocol without results—both are incomplete.

Referee report (LaTeX)

\textbf{Recommendation:} major revisions

\textbf{Journal Tier:} specialist/solid

\textbf{Justification:}

Interesting and timely application of CGR/multifractal analysis to the T2T-CHM13 assembly plus Y, with coherent qualitative findings and informative visualizations. Nonetheless, key quantitative procedures (discrete τ estimator across scales; precise error metric definition; handling of q<0 zeros; scale-matching between assembly and chromosomes) are under-specified, and the claims about coding/CpG separation and cytogenetic band correspondence rest on qualitative inspection rather than statistical tests. These issues are fixable with added methodological detail and minimal statistical validation.