Whack-A-Mole (WAM) Model Simulator

The simulator solves a following differential equation: $\frac{F(t)}{dt} = A(t) - B(t) F(t)$ where, $A(t) = a_0 + a_1 d(t)$ $B(t) = b_0 + b_1 d(t)$

Notation	Description
$t$	Time (hour)
$F(t)$	Mutation frequency at $t$
$A(t)$	Increasing rate of mutation frequency $t$
$B(t)$	Decreasing rate of mutation frequency $t$
$a_0$	Increasing rate of mutation occurred in natural environment (1/hour)
$a_1$	Increasing rate of mutation correspnding to radiation dose (1/Gy)
$b_0$	Decreasing rate occurred in natural environment (1/hour)
$b_1$	Decreasing rate caused by radiation (1/Gy)
$d(t)$	Dose rate at $t$ (Gy/hour)

See http://radi.rirc.kyoto-u.ac.jp/wam/en/index.html for more details.

Publications

Manabe, Y., Ichikawa, K., & Bando, M. (2012). A mathematical model for estimating biological damage caused by radiation. Journal of the Physical Society of Japan, 81(10), 104004.
Manabe, Y., & Bando, M. (2013). Comparison of data on mutation frequencies of mice caused by radiation with low dose model. Journal of the Physical Society of Japan, 82(9), 94004.
Nakamura, I., Manabe, Y., & Bando, M. (2014). Reaction rate theory of radiation exposure and scaling hypothesis in mutation frequency. Journal of the Physical Society of Japan, 83(11), 114003.
Manabe, Y., Wada, T., Tsunoyama, Y., Nakajima, H., Nakamura, I., & Bando, M. (2015). Whack-a-mole model: towards a unified description of biological effects caused by radiation exposure. Journal of the Physical Society of Japan, 84(4), 44002.
Wada, T., Manabe, Y., Nakamura, I., Tsunoyama, Y., Nakajima, H., & Bando, M. (2016). Dose and dose-rate dependence of mutation frequency under long-term exposure–a new look at DDREF from WAM model. Journal of Nuclear Science and Technology, 53(11), 1824–1830.
Bando, M., Wada, T., & Manabe, Y. (2017). From DDREF to EDR - what the history of LNT indicates. In 4th International Symposium on the System of Radiological Protection, 2nd European Radiological Protection Research Week (p. 57).
Tsunoyama, Y., Suzuki, K., Masugi-Tokita, M., Nakajima, H., Manabe, Y., Wada, T., & Bando, M. (2019). Verification of a dose rate-responsive dynamic equilibrium model on radiation-induced mutation frequencies in mice. International Journal of Radiation Biology, (just-accepted), 1–19.