Model Mathematics

\frac{\partial}{\partial time} (q) = kf1 r c + kr3 u ⅇ^{\frac{gamma Fb}{kb_theta}} - (kf3 q l + kr1 + kc p q)

\frac{\partial}{\partial time} (s) = kf2 r l + kr4 u ⅇ^{\frac{gamma Fb}{kb_theta}} - (kf4 s c + kr2 s ⅇ^{\frac{gamma Fb}{kb_theta}} + kc p s)

\frac{\partial}{\partial time} (u) = kf3 q l + kf4 s c - (kr3 u ⅇ^{\frac{gamma Fb}{kb_theta}} + kr4 u ⅇ^{\frac{gamma Fb}{kb_theta}} + kc p s)

\frac{\partial}{\partial time} (s_) = kc p u + kc p s + kf2 r_l - (kr2 s_ⅇ^{\frac{gamma Fb}{kb_theta}})

\frac{\partial}{\partial time} (r_) = kc p r + kc p q - (kr2 s_ⅇ^{\frac{gamma Fb}{kb_theta}} + kf2 r_l)

\frac{\partial}{\partial time} (c_) = kc p c + kc p q + kc p u

RT = r + q + s + u + r_+ s_

LT = 1.0 + s + u + s_

CT = c + q + u + c_

Fb = \frac{FT}{Ae (u + s + s_)}