### Abstract

The probability of survival of cells or viruses exposed to various forms of radiation is expressed as a function of the probability that a given cell will receive a certain number of lethal damages, the average probability that each such damage is repairable, and an upper bound on the repair capacity of each cell. All lethal damages are presumed induced as a linear function of dose. The probability of survival is found to be the product of a single exponential, which reflects inactivation by unrepairable lethal damages and dominates at low doses, and an Euler gamma function, which reflects inactivation due to repairable damages formed in excess of the upper bound on repair capacity. Computational procedures obtain stochastic parameters from published survival data for the inactivation of bacterial, yeast and mammalian cells exposed to ionizing or ultraviolet radiation, including split-dose experiments. The survival of cells exposed to photodynamic therapy is analysed assuming that lethal damages cannot be repaired, but more than one may be required for inactivation.

Original language | English (US) |
---|---|

Article number | 011 |

Pages (from-to) | 4883-4901 |

Number of pages | 19 |

Journal | Physics in Medicine and Biology |

Volume | 51 |

Issue number | 19 |

DOIs | |

State | Published - Oct 7 2006 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Radiological and Ultrasound Technology
- Radiology Nuclear Medicine and imaging

### Cite this

**Repair dependent radiation survival : A stochastic model with Euler gamma function solutions.** / Sutherland, John C.

Research output: Contribution to journal › Article

*Physics in Medicine and Biology*, vol. 51, no. 19, 011, pp. 4883-4901. https://doi.org/10.1088/0031-9155/51/19/011

}

TY - JOUR

T1 - Repair dependent radiation survival

T2 - A stochastic model with Euler gamma function solutions

AU - Sutherland, John C.

PY - 2006/10/7

Y1 - 2006/10/7

N2 - The probability of survival of cells or viruses exposed to various forms of radiation is expressed as a function of the probability that a given cell will receive a certain number of lethal damages, the average probability that each such damage is repairable, and an upper bound on the repair capacity of each cell. All lethal damages are presumed induced as a linear function of dose. The probability of survival is found to be the product of a single exponential, which reflects inactivation by unrepairable lethal damages and dominates at low doses, and an Euler gamma function, which reflects inactivation due to repairable damages formed in excess of the upper bound on repair capacity. Computational procedures obtain stochastic parameters from published survival data for the inactivation of bacterial, yeast and mammalian cells exposed to ionizing or ultraviolet radiation, including split-dose experiments. The survival of cells exposed to photodynamic therapy is analysed assuming that lethal damages cannot be repaired, but more than one may be required for inactivation.

AB - The probability of survival of cells or viruses exposed to various forms of radiation is expressed as a function of the probability that a given cell will receive a certain number of lethal damages, the average probability that each such damage is repairable, and an upper bound on the repair capacity of each cell. All lethal damages are presumed induced as a linear function of dose. The probability of survival is found to be the product of a single exponential, which reflects inactivation by unrepairable lethal damages and dominates at low doses, and an Euler gamma function, which reflects inactivation due to repairable damages formed in excess of the upper bound on repair capacity. Computational procedures obtain stochastic parameters from published survival data for the inactivation of bacterial, yeast and mammalian cells exposed to ionizing or ultraviolet radiation, including split-dose experiments. The survival of cells exposed to photodynamic therapy is analysed assuming that lethal damages cannot be repaired, but more than one may be required for inactivation.

UR - http://www.scopus.com/inward/record.url?scp=33748934353&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33748934353&partnerID=8YFLogxK

U2 - 10.1088/0031-9155/51/19/011

DO - 10.1088/0031-9155/51/19/011

M3 - Article

C2 - 16985277

AN - SCOPUS:33748934353

VL - 51

SP - 4883

EP - 4901

JO - Physics in Medicine and Biology

JF - Physics in Medicine and Biology

SN - 0031-9155

IS - 19

M1 - 011

ER -