# Model Mathematics

### Component: q

$∂∂timeq= kf1 ⁢ r ⁢ c + kr3 ⁢ u ⁢ⅇ gamma ⁢ Fb kb_theta - kf3 ⁢ q ⁢ l + kr1 + kc ⁢ p ⁢ q$

### Component: s

$∂∂times= kf2 ⁢ r ⁢ l + kr4 ⁢ u ⁢ⅇ gamma ⁢ Fb kb_theta - kf4 ⁢ s ⁢ c + kr2 ⁢ s ⁢ⅇ gamma ⁢ Fb kb_theta + kc ⁢ p ⁢ s$

### Component: u

$∂∂timeu= kf3 ⁢ q ⁢ l + kf4 ⁢ s ⁢ c - kr3 ⁢ u ⁢ⅇ gamma ⁢ Fb kb_theta + kr4 ⁢ u ⁢ⅇ gamma ⁢ Fb kb_theta + kc ⁢ p ⁢ s$

### Component: s_

$∂∂times_= kc ⁢ p ⁢ u + kc ⁢ p ⁢ s + kf2 ⁢ r_ ⁢ l - kr2 ⁢ s_ ⁢ⅇ gamma ⁢ Fb kb_theta$

### Component: r_

$∂∂timer_= kc ⁢ p ⁢ r + kc ⁢ p ⁢ q - kr2 ⁢ s_ ⁢ⅇ gamma ⁢ Fb kb_theta + kf2 ⁢ r_ ⁢ l$

### Component: c_

$∂∂timec_= kc ⁢ p ⁢ c + kc ⁢ p ⁢ q + kc ⁢ p ⁢ u$

### Component: RT

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

### Component: LT

$LT= 1.0 + s + u + s_$

### Component: CT

$CT= c + q + u + c_$

### Component: parameters

$Fb= FT Ae ⁢ u + s + s_$
Source
Derived from workspace Palecek, Horwitz, Lauffenburger, 1999 at changeset a02c35a6fa3a.
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