2006/07/03 by Naoto Morikawa, Morikawa, Naoto
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #14-3-3 protein interactions #52B99 #92D20 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Metric Geometry (math.MG) #Microtubule and mitosis dynamics #Protein Structure and Dynamics #cs.DM #math.CO #math.MG #msc:52B99 #msc:92D20
paper · pdf · doi:10.48550/arxiv.math/0607051
15 pages, 6 figures
arxiv created 2006/07/03 · openalex publication_date 2006/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper proposes a new mathematical framework that can be applied to biological problems such as analysis of the structures of proteins and protein complexes. In particular, it gives a new method for encoding the three-dimensional structure of a protein into a binary sequence, where proteins are approximated by a folded tetrahedron sequence. It also gives a new algebraic framework for describing molecular complexes and their interactions. For simplicity, we shall explain the framework in the case of two-dimensional objects. Then, the binary code of a plane curve is obtained as the ``second derivative'' of the curve and ``fusion and fission'' of closed trajectories is described algebraically.