부산대학교 도서관

Summary: ``The information contained in DNA is encoded in a doublehelix formed by two antiparallel and complementary sequences ofnucleotides, which are stabilized by hydrogen bonds. At physiologicalconditions, each nucleobase possesses three main characteristics;molecular structure, functional group, and orientation in the doublehelix. These properties produce steric constraints that allow onlycomplementary interactions between nucleobase pairs to form double ortriple hydrogen bonds. In this work, a mathematical model is proposedto describe the pairing interactions between nucleobases according totheir physicochemical properties (structure, functional group andorientation). The results suggest that stable hydrogen bonds derivedfrom nucleobase interactions can be represented by a set of 4 hermitianmatrices and a Clifford Algebra $Cl(4,0)$. Moreover, it is shown thatthe allowed interactions between pairs of nucleobases enable theformulation of an exclusion principle between the states of theobservables. Finally, the mathematical representation of the hydrogenbonding between complementary nucleobases suggests a preferentialorientation (chirality), which could be associated with the majorgroove in the double helix structure of B-DNA.''