8-: 3dm5p

r=L3

3 4π

A = 4π r 2 A = 4π L2 3

9 16π 2

Asp = 4.836 L2

Asp < Acy < Acu

1 r=L 3 2π

Acy 2

A = 2π r + 2π rh V = π r 2h A = 2π r 2 +

2V r

  1 A = L2  2π 3 + 2 3 2π  4π 2  

Acy = 5.536 L2

4 V = π r3 3 4 L3 = π r 3 3

Asp

= 1.145

Acu = 1.241 Asp

Acu = 1.08 Acy

V 2 = 537.5 cm3 A = 365.96 cm2

A = 2π r 2 +

2V r

V

V=

Ar − π r3 2

A = 358.882

V = 179.441r − π r 3

r = 4.3634 cm

V1 < V2

A2

V2

A1 A1= A 2

A = 365.96 cm2

V2 = 537.509 cm3

A2 = 358.882 cm2

V1 = 521.982 cm2

A1= 358.882 cm2

V 2 = 537.509 cm3 537.5 cm3 A 2< A V2

Asp < Acy < Acu

Asp Acy

Acu

V1 V1 < V2

V2 V1

A2

A1 V1 < V2

A1= A2

CSte,0 CSuc,0 run 3 3 No. [mol/m ] [mol/m ] [units/m3-particle] 2-1 0.5 20 312.4×106 0.5 40 312.4×106 2-2 2-3 1.0 20 312.4×106 2-4 0.5 20 171.1×106

run

CSte,0

CSuc,0

CFru,0

CGlu,0

CE,0

N.

[mol/m3]

[mol/m ]

1-1

0.5

20

0

0

2.0×105

1-2

0.5

40

0

0

2.0×105

1-3

1.0

20

0

0

2.0×105

1-4

0.5

20

0

0

4.0×105

1-5

0.5

20

40

0

2.0×105

1-6

0.5

20

0

40

2.0×105

o

3

3

[mol/m ]

3

[mol/m ]

[units/m3]

Wp [g] 1.0 1.0 1.0 1.0

CE

υSte = Vmh ( − K1 CSte CSuc + K 5 CFSte ) / σ υ FSte = Vmh ( K1 CSte CSuc − K 5 CFSte ) / σ υSuc = Vmh ( − K1 CSte CSuc − CSuc ) / σ υ Fru = Vmh ( K 5 CFSte − CSuc ) / σ υGlu = Vmh ( K1 CSte CSuc + CSuc ) / σ

{

σ = K mh K1 K 2 CSte CSuc + K1 (CFru / K I,Fru + CGlu / K I,Glu + 1)CSte +CSuc / K mh + K 3 CFSte + K 4 CSuc CSuc +CFru / K I,Fru + CGlu / K I,Glu + 1

}

3

3 sugar conc.[mol/m ] stev. conc.[mol/m ]

exp. calc. stev fru-ste

1.0

1.0 CSte,0 = 0.5 mol/m3

3

CSte,0 = 1.0 mol/m 3 CSuc,0 = 20 mol/m 5 3 CE,0 = 2.0 x 10 unit/m

3

CSuc,0 = 20 mol/m 5 3 CE,0 = 2.0 x 10 unit/m

0.5

0 60

suc fru glu

40

exp. calc.

0.5

0 60 40 20

20

0

0 0

5

10 15 20 25 time[h]

0

5

10 15 20 25 time[h]

partition coefficients

constants K1 K2 K3 K4 K5 KI,Fru KI,Glu Kmh Vmax

estimated values 5.41 × 10-2 [m3 mol-1] 6.74 [m3 mol-1] 0.53 [m3 14.0 [m6 7.18 [ – ] 8.57 [mol 1.04 [mol 8.75 [mol 1.71 × 10-4 [mol

mol-1] mol-2] m-3] m-3] m-3] units-1

s-1]

estimated values

HSte, (HFSte)

1.30

[m3-particle m-3-liquid]

HSuc, HFru, HGlu,

1.02

[m3-particle m-3-liquid]

Módulos

Base de Conocimientos

Comunicación Módulo BC Aprendizaje

Decisión Reglas Operativo

Modelo Matemático

e(t ) = y (t ) − â (t − 1)T * Y (t − 1)

â (t ) = â (t − 1) + (U C / MSY ) * e(t ) * Y (t − 1) U C → Coeficiente de Actualizacion = 0.0055 MSY → Varianza de la Señal =

y (t ) = a1 (t ) * y (t − 1) + ... + a p (t ) * y (t − p ) + x(t ) = a (t )T * Y (t − 1) + x(t )

1 N

N

∑Y t =1

t

2