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p_n(t) = p_{nr}(0) + (\tau_n / \gamma_n)  \cdot  q_n(t)  - \gamma_n^{-1} \cdot Q_n (t) + \gamma_n^{-1} \cdot  
 \sum_{m \neq n}f_{nm}  \ Q_m(t) \left 
 -  \frac{B_o - R_s \, B_g}{1- R_s \, R_v} \cdot  \, Q^{\uparrow}_O + \frac{ B_g - R_v \, B_o}{1- R_s \, R_v} \cdot \, \left( Q^{\downarrow}_G - Q^{\uparrow}_G + Q^{\downarrow}_{GCAP} \right) + B_w \, \left( Q^{\downarrow}_W - Q^{\uparrow}_W + Q^{\downarrow}_{WAQ} \right)  \ \right]
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Q_m(t) =  \int_0^t q_m(t) \, dt

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