title: A mathematical model relating chromosome aberrations to cancer progression.
abstract: The main focus of this paper is to mathematically represent the dynamics of cancer evolution by studying patterns of chromosomal aberrations. A mathematical model for the progression and evolution of cancer in cultured fibroblast cells is proposed. Solution of the differential equations was performed for a continuous model by assuming variable genetic aberration pseudo reaction rate constants for each stage of cancer. Calculation of the genetic aberration pseudo reaction rate constants provides useful insight into the evolution of cancer as well as providing a tool which is possibly useful in evaluating the efficacy of various cancer treatment modalities. Lastly, this novel approach to quantifying and predicting the dynamics of cancer in an in vitro model may be extended to other forms of malignancies.
authors.affiliation: Coll. of Electr. & Comput. Eng., Wayne State Univ., Detroit, MI 48202, USA. julesdp11@yahoo.ca
authors.forename: Julia
authors.initials: J
authors.lastname: DiPierdomenico
authors.forename: Hao
authors.initials: H
authors.lastname: Ying
authors.forename: Feng
authors.initials: F
authors.lastname: Lin
authors.forename: Henry H Q
authors.initials: HH
authors.lastname: Heng
mesh_terms: D000818:Animals; D002869:Chromosome Aberrations; D002875:Chromosomes / Q000235:genetics*; D003198:Computer Simulation; D019143:Evolution, Molecular; D020022:Genetic Predisposition to Disease / Q000235:genetics; D006801:Humans; D008957:Models, Genetic; D009369:Neoplasms / Q000235:genetics*; D011230:Precancerous Conditions / Q000235:genetics*