# 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)