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Cohomology theory for biological time series
Author(s) -
Pinčák Richard,
Kanjamapornkul Kabin,
Bartoš Erik
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5906
Subject(s) - mathematics , cohomology , knot (papermaking) , curvature , series (stratigraphy) , dirac operator , pure mathematics , algebra over a field , geometry , paleontology , chemical engineering , engineering , biology
We use Khovanov cohomology in biological time series data to model the curvature in the docking system of the co‐receptor CCR5 with Δ32 and V3 loop time series data. We use modified Dirac operator to measure the transition state in the gene expression. We provide the proof of the existence of genetic code as knot and link between the interaction of behavior field in the genetic code. We define 20 transition states in 20 types of amino acids as new types of Yang‐Mills field in the passive layer of DNA‐RNA transcription.