Tuyển tập các báo cáo nghiên cứu về y học được đăng trên tạp chí y học quốc tế cung cấp cho các bạn kiến thức về ngành y đề tài: "Review and application of group theory to molecular systems biology | Rietman et al. Theoretical Biology and Medical Modelling 2011 8 21 http content 8 1 21 THEORETICAL BIOLOGY AND MEDICAL MODELLING REVIEW Open Access Review and application of group theory to molecular systems biology Edward A Rietman1 2 6 Robert L Karp3 and Jack A Tuszynski4 5 Correspondence jackt@ualberta. ca department of Experimental Oncology Cross Cancer Institute 11560 University Avenue Edmonton AB T6G 1Z2 Canada Full list of author information is available at the end of the article 2 BioMed Central Abstract In this paper we provide a review of selected mathematical ideas that can help us better understand the boundary between living and non-living systems. We focus on group theory and abstract algebra applied to molecular systems biology. Throughout this paper we briefly describe possible open problems. In connection with the genetic code we propose that it may be possible to use perturbation theory to explore the adjacent possibilities in the 64-dimensional space-time manifold of the evolving genome. With regards to algebraic graph theory there are several minor open problems we discuss. In relation to network dynamics and groupoid formalism we suggest that the network graph might not be the main focus for understanding the phenotype but rather the phase space of the network dynamics. We show a simple case of a C6 network and its phase space network. We envision that the molecular network of a cell is actually a complex network of hypercycles and feedback circuits that could be better represented in a higher-dimensional space. We conjecture that targeting nodes in the molecular network that have key roles in the phase space as revealed by analysis of the automorphism decomposition might be a better way to drug discovery and treatment of cancer. 1. Introduction In 1944 Erwin Schrodinger published a series of lectures in What is Life 1 . This small book was a major inspiration for a generation of physicists to enter microbiology and biochemistry
