### Abstract

Language | English |
---|---|

Pages | 156-168 |

Number of pages | 13 |

Journal | Mathematics and Computers in Simulation |

Volume | 151 |

Early online date | 19 Mar 2016 |

DOIs | |

Publication status | Published - 30 Sep 2018 |

### Fingerprint

### Keywords

- linear quadratic relation
- survival curves
- dose fractionation
- structured population theory
- parameter estimation

### Cite this

*Mathematics and Computers in Simulation*,

*151*, 156-168. https://doi.org/10.1016/j.matcom.2016.02.007

}

*Mathematics and Computers in Simulation*, vol. 151, pp. 156-168. https://doi.org/10.1016/j.matcom.2016.02.007

**A mechanistic model of high dose irradiation damage.** / Siam, F.M.; Grinfeld, M.; Bahar, A.; Rahman, H.A.; Ahmad, H.; Johar, F.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A mechanistic model of high dose irradiation damage

AU - Siam, F.M.

AU - Grinfeld, M.

AU - Bahar, A.

AU - Rahman, H.A.

AU - Ahmad, H.

AU - Johar, F.

PY - 2018/9/30

Y1 - 2018/9/30

N2 - The main goal of our study is to develop a realistic mechanistic model of the effect of ionizing radiation on DNA in mammalian cells. We consider a population of cells structured by the number of DNA double strand breaks due to radiation. Using the system of linear differential equation, the model describes the evolution of the irradiated population of cells in time. The work is in three parts. First, we consider the effect of a single dose of radiation, while in the second part we work on the model parameter estimation using Nelder–Mead simplex algorithm which allows us to relate the clinically useful parameters of the LQ relation to aspects of cellular activity that can be manipulated experimentally. In the third part, we deal with cell killing effects of fractioned doses of radiation. Using MATLAB, we observed the cell survival fractions can be well approximated by the Linear–Quadratic relation and also show fewer cell will die if the dose is fractionated in two or more fractions

AB - The main goal of our study is to develop a realistic mechanistic model of the effect of ionizing radiation on DNA in mammalian cells. We consider a population of cells structured by the number of DNA double strand breaks due to radiation. Using the system of linear differential equation, the model describes the evolution of the irradiated population of cells in time. The work is in three parts. First, we consider the effect of a single dose of radiation, while in the second part we work on the model parameter estimation using Nelder–Mead simplex algorithm which allows us to relate the clinically useful parameters of the LQ relation to aspects of cellular activity that can be manipulated experimentally. In the third part, we deal with cell killing effects of fractioned doses of radiation. Using MATLAB, we observed the cell survival fractions can be well approximated by the Linear–Quadratic relation and also show fewer cell will die if the dose is fractionated in two or more fractions

KW - linear quadratic relation

KW - survival curves

KW - dose fractionation

KW - structured population theory

KW - parameter estimation

U2 - 10.1016/j.matcom.2016.02.007

DO - 10.1016/j.matcom.2016.02.007

M3 - Article

VL - 151

SP - 156

EP - 168

JO - Mathematics and Computers in Simulation

T2 - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

SN - 0378-4754

ER -