title: Chaotic attractors in tumor growth and decay: a differential equation model.
abstract: Tumorigenesis can be modeled as a system of chaotic nonlinear differential equations. A simulation of the system is realized by converting the differential equations to difference equations. The results of the simulation show that an increase in glucose in the presence of low oxygen levels decreases tumor growth.
authors.affiliation: Health Catalyst, Salt Lake City, UT, USA, mharney1@jhu.edu.
authors.forename: Michael
authors.initials: M
authors.lastname: Harney
authors.forename: Wen-sau
authors.initials: WS
authors.lastname: Yim
mesh_terms: D000465:Algorithms; D063646:Carcinogenesis / Q000473:pathology; D019295:Computational Biology / Q000379:methods; D003198:Computer Simulation; D005947:Glucose / Q000378:metabolism; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000473:pathology*; D017711:Nonlinear Dynamics; D010100:Oxygen / Q000378:metabolism; D012984:Software; D047368:Tumor Burden
chemical_list: D005947:Glucose; D010100:Oxygen