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p_i - p(t) = \alpha \cdot Q^{\uparrow}_O(t) + \beta \cdot Q^{\uparrow}_W(t) - \gamma \cdot Q^{\downarrow}_W(t)

\alpha > 0, \quad \beta > 0, \quad \gamma > 0

V_\phi = \frac{ 1 }{ \alpha \cdot c_t}  \cdot \frac{B_o - R_s \, B_g}{1- R_s \, R_v}

\Omega^{\uparrow}_W = \frac{Q^{\uparrow}_{W,{\rm true}}}{Q^{\uparrow}_W} = \frac{\beta}{\alpha}  \cdot \frac{1}{B_w} \cdot \frac{B_o - R_s \, B_g}{1- R_s \, R_v}

\Omega^{\downarrow}_W = \frac{Q^{\downarrow}_{W, {\rm true}}}{Q^{\downarrow}_W} =\frac{\gamma}{\alpha}  \cdot \frac{1}{B_w} \cdot \frac{B_o - R_s \, B_g}{1- R_s \, R_v}