A Mathematical Model Relating Chromosome Aberrations to Cancer Progression

Author

DiPierdomenico, Julia ; Ying, Hao ; Lin, Feng ; Heng, Henry H Q

Author_Institution

Coll. of Electr. & Comput. Eng., Wayne State Univ., Detroit, MI

fYear

2006

fDate

Aug. 30 2006-Sept. 3 2006

Firstpage

2028

Lastpage

2031

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

Keywords

cancer; cellular biophysics; differential equations; evolution (biological); genetics; patient treatment; physiological models; tumours; cancer evolution dynamics; cancer progression; cancer treatment modality efficacy; chromosome aberration patterns; continuous model; cultured fibroblast cells; differential equations; genetic aberration pseudo reaction rate constants; mathematical model; Biological cells; Biological system modeling; Cancer; Evolution (biology); Genetics; Kinetic theory; Mathematical model; Metastasis; Neoplasms; Predictive models;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering in Medicine and Biology Society, 2006. EMBS '06. 28th Annual International Conference of the IEEE

Conference_Location

New York, NY

ISSN

1557-170X

Print_ISBN

1-4244-0032-5

Electronic_ISBN

1557-170X

Type

conf

DOI

10.1109/IEMBS.2006.260468

Filename

4462183