A mathematical modelling of Elkind recovery

-target/1-hit model in terms of simultaneous differential equations, where each step corresponds to the cells in which specific targets have been hit. The recovery effects are taken into account in the same manner as the Whack-A-Mole model, which makes dose rate an essential parameter of the model. Using the model, we reproduced the essential features of Elkind recovery, such as the reappearance of the shoulder in the survival curve, the increase of the survival rate with the number of splits, and the increase of the recovery rate with the length of the non-irradiation period.

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Publication Details

Journal
Annals of the ICRP
Published
2026-05-13
DOI
https://doi.org/10.1177/01466453251412542
Primary Topic
Mathematical Biology Tumor Growth
Type
article
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article

A mathematical modelling of Elkind recovery

T. Wada, T. Kinugawa, Y. Manabe
Annals of the ICRP
Mathematical Biology Tumor Growth
article

A mathematical modelling of Elkind recovery

T. Wada, T. Kinugawa, Y. Manabe
article en

Abstract

-target/1-hit model in terms of simultaneous differential equations, where each step corresponds to the cells in which specific targets have been hit. The recovery effects are taken into account in the same manner as the Whack-A-Mole model, which makes dose rate an essential parameter of the model. Using the model, we reproduced the essential features of Elkind recovery, such as the reappearance of the shoulder in the survival curve, the increase of the survival rate with the number of splits, and the increase of the recovery rate with the length of the non-irradiation period.

Annals of the ICRP
Institute for Environmental Sciences (JP), Kansai University (JP), The University of Osaka (JP)
Good health and well-being
Openalex Percentile: Top 6%
Mathematical Biology Tumor Growth
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