Skip to Main content Skip to Navigation
Journal articles

Mathematical models of radiation action on living cells: From the target theory to the modern approaches. A historical and critical review

Abstract : Cell survival is conventionally defined as the capability of irradiated cells to produce colonies. It is quantified by the clonogenic assays that consist in determining the number of colonies resulting from a known number of irradiated cells. Several mathematical models were proposed to describe the survival curves, notably from the target theory. The Linear-Quadratic (LQ) model, which is to date the most frequently used model in radiobiology and radiotherapy, dominates all the other models by its robust- ness and simplicity. Its usefulness is particularly important because the ratio of the values of the adjustable parameters, α and β, on which it is based, predicts the occurrence of post-irradiation tissue reactions. However, the biological interpretation of these parameters is still unknown.Throughout this review, we revisit and discuss historically, mathematically and biologically, the different models of the radiation action by providing clues for resolving the enigma of the LQ model.
Document type :
Journal articles
Complete list of metadata

https://hal.inria.fr/hal-01382777
Contributor : Laurent Pujo-Menjouet <>
Submitted on : Wednesday, December 7, 2016 - 2:22:16 PM
Last modification on : Monday, June 14, 2021 - 1:58:06 PM
Long-term archiving on: : Tuesday, March 21, 2017 - 11:15:36 AM

Identifiers

Citation

Larry Bodgi, Aurélien Canet, Laurent Pujo-Menjouet, Annick Lesne, Jean-Marc Victor, et al.. Mathematical models of radiation action on living cells: From the target theory to the modern approaches. A historical and critical review. Journal of Theoretical Biology, Elsevier, 2016, 394, pp.93 - 101. ⟨10.1016/j.jtbi.2016.01.018⟩. ⟨hal-01382777⟩

Share

Metrics

Record views

1192

Files downloads

1740