Skip to main content

Table 2 The Differential Equations

From: Serotonin synthesis, release and reuptake in terminals: a mathematical model

d [ b h 2 ] d t = V TPH ( t r p , b h 4 , e 5 h t ) V DRR ( b h 2 , NADPH , b h 4 , NADP ) (7)
d [ b h 4 ] d t = V DRR ( b h 2 , NADPH , b h 4 , NADP ) V TPH ( t r p , b h 4 , e 5 h t ) (8)
d [ t r p ] d t = V t r p i n ( b t r p ) V TPH ( t r p , b h 4 , e 5 h t ) V t r p - p o o l ( t r p , t r p p o o l ) (9)
d [ 5 h t p ] d t = V TPH ( t r p , b h 4 , e 5 h t ) V AADC ( 5 h t p ) (10)
d [ c 5 h t ] d t = V AADC ( 5 h t p ) V MAT ( c 5 h t , v 5 h t ) + f l u o x ( t ) V SERT ( e 5 h t ) V c 5 h t c a t a b ( c 5 h t ) (11)
d [ v 5 h t ] d t = V MAT ( c 5 h t , v 5 h t ) r e l e a s e ( e 5 h t ) f i r e ( t ) v 5 h t (12)
d [ e 5 h t ] d t = r e l e a s e ( e 5 h t ) f i r e ( t ) v 5 h t f l u o x ( t ) V S E R T ( e 5 h t ) V e 5 h t c a t a b ( e 5 h t ) V r e m ( e 5 h t ) (13)
d [ 5 h i a a ] d t = V c 5 h t c a t a b ( c 5 h t ) + V e 5 h t c a t a b ( e 5 h t ) k h i a a c a t a b .5 h i a a (14)
d [ t r p p o o l ] d t = V t r p p o o l ( t r p , t r p p o o l ) k t r p p o o l c a t a b t r p p o o l (15)