Identification of critical parameters of cell transition from the state of proliferation to the state of differentiation

Abstract

This paper describes by mathematical modeling changes in the genetic control of cell in a state of proliferation and differentiation. It was constructed seventeen response surfaces for each of the speed rate constants that characterize the transformations in these systems. Based on the constructed models, it was revealed which of the parameters make the largest contribution to the value of each of the constants and which para­meters have the greatest influence on the proliferation and differentiation of cells. It was established that the greatest contribution to the rate of reaction constant of changes in the genetic controlling systems in cells in the state of proliferation have histone genes and cyclin-dependent kinases, and a little less the genes – stimulators of proliferation and transcription factors; in cells in a state of differentiation – inhibitors of cyclin-dependent kinases, and equally transcription factors, cell cycle genes, gene transcription, structural genes and hyperpolarization of the cell membrane. As result, we got data that the value concentration of cyclin – dependent kinases and inhibitors of cyclin – dependent kinases in the cell is the trigger that determines whether a cell proliferate or differentiate.

Keywords

• response surface
• mathematical modeling
• genetic control
• proliferation
• differentiation