A Mathematical Model for the Effect of Low-Dose Radiation on the G2/M Transition

Bull Math Biol. 2019 Oct;81(10):3998-4021. doi: 10.1007/s11538-019-00645-6. Epub 2019 Aug 7.

Abstract

We develop a mathematical model to study the immediate effect of low-dose radiation on the G2 checkpoint and the G2/M transition of the cell cycle via a radiation pathway (the ATM-Chk2 pathway) of an individual mammalian cell. The model consists of a system of nonlinear differential equations describing the dynamics of a network of regulatory proteins that play key roles in the G2/M transition, cell cycle oscillations, and the radiation pathway. We simulate the application of a single pulse of low-dose radiation at different intensities ([Formula: see text] 0-0.4 Gy) and times during the latter part of the G2-phase. We use bifurcation analysis to characterize the effect of radiation on the G2/M transition via the ATM-Chk2 pathway. We show that radiation between 0.1 and 0.3 Gy can delay the G2/M transition, and radiation higher than 0.3 Gy can fully activate the G2 checkpoint. Also, our results show that radiation can be low enough to neither delay the G2/M transition nor activate the G2 checkpoint ([Formula: see text] 0.1 Gy). Our model supports the idea that the cell response to radiation during G2-phase explains hyper-radiosensitivity and increased radioresistance (HRS/IRR) observed at low dose.

Keywords: ATM; Cell cycle modelling; Cell physiology; Chk2; G2 checkpoint; G2/M transition; HRS; IRR; Ionizing radiation; Radiation pathway; Regulatory dynamics.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Animals
  • Ataxia Telangiectasia Mutated Proteins / metabolism
  • Cell Proliferation / physiology
  • Cell Proliferation / radiation effects
  • Cell Survival / physiology
  • Cell Survival / radiation effects
  • Checkpoint Kinase 2 / metabolism
  • Dose-Response Relationship, Radiation
  • G2 Phase Cell Cycle Checkpoints / physiology
  • G2 Phase Cell Cycle Checkpoints / radiation effects*
  • Humans
  • Mathematical Concepts
  • Models, Biological*
  • Nonlinear Dynamics
  • Radiation Tolerance / physiology

Substances

  • Checkpoint Kinase 2
  • Ataxia Telangiectasia Mutated Proteins