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Liv t a. Liv t. Liv. +. •= ∫. ∫. )( )( )( )( 0. 0 b t. C. dttfC a t. C dtt. C. Kid t a. Kid t. Kid. ′+. •′= ∫. ∫. )( )( )( )( 0. 0 b. tC t. C a ba t. C dtt. C a a t. C dtt. C. Liv. Kid. Liv.
dCi / dt = dCe / dt + dCm / dt

dCe / dt = k1Cp + k 2 Ce + k 3 Ce dCm / dt = k 3 Ce

T

Ce(T ) = k1e −( k 2 + K 3 )T ∫ Cp ⋅ e ( k2 +k3 )t dt 0

τ

T

0

0

Cm (τ ) = k1k 2 ∫ [e − ( k2 + k3 )T ∫ Cp ⋅ e ( k2 + k3 )t dt ]dT

t

∫C 0

Liv

(t )dt

CLiv (t )

t

∫C 0

Liv

(t )dt

CLiv (t )

t

∫C 0

Kid

(t )dt

CKid (t )

∫ =a•

t

fCa (t )dt

0

CLiv (t )

∫ = a′ •

t

0

fCa (t )dt CKid (t )

+b

+ b′

t

=

a ∫0 CKid (t )dt ab′ C (t ) • + ( ) • Kid + b a′ CLiv (t ) a′ CLiv (t )