Physics of Biology

Mathematical Exploration of Genetic Anomalies in BRCA1: A Revolutionary Approach

Authors: Guiffra Patrick
Comments: 6 Pages. (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)

The BRCA1 gene sequence (NG 005905.2, 81,192 bases) is analyzed using a prime number-based wav function, ψp(x) = χ(p)exp(i2πp−1x/q), to detect pathogenic mutations 185delAG and 5382insC, distinguishing them from the benign variant rs1799950. This approach leverages a spectral localization framework, utilizing the multifractal set Fq = {k ≡ p −1 mod q} to identify perturbations in autocorrelation rhythms (τ = 3, 5, 7), fractal complexity (D), and frequency spectra (peak at k = 24 mod 101). Dot-Plot simulations (EMBOSS Dotmatcher, window = 3) reveal reduced diagonals for pathogenic mutations, reflecting codon frame shifts. Autocorrelation at τ = 3 significantly decreases (e.g., from 0.95 to 0.88 for 185delAG, p < 0.05), fractal dimension drops (0.63 to 0.62 locally), and the spectral peak weakens (0.00238 to 0.00233). Unlike tumoral signatures (e.g., Signature 3), this method targets germline DNA for early detection. Conducted by an independent researcher using public data, this reproducible approach offers a novel pathway for structural DNA analysis, awaiting experimental validation via Raman spectroscopy or high-throughput sequencing.
Category: Physics of Biology