One of the extremely urgent tasks that bioinformatics is now addressing is to find genetic rules and mathemati...
Neng-Zhi Jin Zi-Xian Liu Wen-Yuan Qiu (Department of Chemistry,State Key Laboratory of Applied Organic Chemistry,Lanzhou University,Lanzhou 730000,P.R.China)
A new methodology for understanding the construction of polyhedral links has been developed on the basis of the Platonic and Archimedean solids by using our method of the ‘three-cross-curve and dou- ble-twist-line covering’. There are five classes of polyhedral links that can be explored: the tetrahedral and truncated tetrahedral links; the hexahedral and truncated hexahedral links; the dodecahedral and truncated dodecahedral links; the truncated octahedral and icosahedral links. Our results show that the tetrahedral and truncated tetrahedral links have T symmetry; the hexahedral and truncated hexahedral links, as well as the truncated octahedral links, O symmetry; the dodecahedral and truncated dodeca- hedral links, as well as the truncated icosahedral links, I symmetry, respectively. This study provides further insight into the molecular design, as well as theoretical characterization, of the DNA and protein catenanes.
Repetitive sequences make up a significant fraction of almost any genome,and an important and still open quest...
Zi-Xian Liu Neng-Zhi Jin Mao-Yi Li Wen-Yuan Qiu (Department of Chemistry,State Key Laboratory of Applied Organic Chemistry,Lanzhou University,Lanzhou 730000,P.R.China)