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Repeated Medium Replacement Culture Repeated Medium Replacement Culture

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(1)

Repeated Medium Replacement Culture Repeated Medium Replacement Culture

(REPLCUL)

(REPLCUL)

(2)

Introduction Introduction

V V

R

S

0

V

R

VX VS

Final Conditions Initial Conditions

Replacement

Figure. One cycle for medium replacement culture.

•Each cycle is operated as a constant volume batch culture, in which the concentration of substrate decreases, while that of biomass increases.

VS

F

VX

F

(3)

Model

The equations are for batch culture, where the total masses are used for convenience .

μ = μ

m

S / (Ks + S)

Monod kinetics

Model Coding

RS = -RX/Y RX = U*X

U = UM*S /(KS + S)

Coding

xdot(1) = RX*V

xdot(2) = -RS*V

(4)

Model

The initial conditions

0

(1 ) (1 )

R

F

F R

f V V

VX f VX

VS f VS V S

=

= -

= - +

Coding

F = VR/V

VX = (1-F) *VXF

VS = (1-F) *VSF + VR*SO

(5)

Program I

Symbols

D Dilution rate l/h f Fraction of volume replaced - KS Saturation constant g/m3 S Substrate concentration g/m3 X Biomass concentration g/m3 V Reactor volume m3

V0 Initial volume of liquid m3

VX Biomass in reactor Kg VS Substrate in reactor Kg VR Volume replaced m3 Y Yield coefficient g/g

µ Specific growth rate l/h

Indices

F Refers to final values at end of cycle S Refers to substrate

X Refers to biomass

0 Refers to initial and inlet values

(6)

Program II

(7)

Exercises

1. Run the program, and observe the number of cycles required to reach the pseudo steady state, for which each cycle becomes identical with the next.

Experiment with the initial conditions to reduce this number.

초기값 : UM=0.8, KS=0.1, Y=0.5, tf=4, VR=5, V=10, VSF=2, VXF=3, S0=5

(8)

Exercises

2. Adjust the operation variables so that the substrate is at least 90% consumed.

Does this alter the end biomass concentration?

Is the final substrate concentration in the K

S

region? Yes

VSF= 1.0

(9)

Exercises

2. Vary K

S

to see the influence

KS= 0.1 tf = 4.0

KS= 1.0 tf = 4.0

μ = μ

m

S / (Ks + S)

(10)

Exercises

2. Vary K

S

to see the influence

μ = μ

m

S / Ks + S

KS= 5.0 tf = 4.0

KS= 5.0 tf = 10.0

(11)

Exercises 3. Experiment to see the influence of VR on the washout point.

VR= 2.0 VR= 5.0

VR= 8.0

(12)

Exercises 4. Revise the program to allow for product production, using kinetics of your choice

µ

M= 0.8

µ

M= 0.5

µ

M= 1.1

μ = μ

m

S / Ks + S

(13)

Exercises

5. Revise the program to simulate removal of medium without cells.

S0 = 0

(14)

Exercises

추가사항 #1. tf의 변화에 따른 biomass와 substrate의 변화

tf = 1.5

tf = 2.0 tf = 4.0

tf = 1.0

(15)

Exercises

추가사항 #2. VR에서의 substrate양의 변화에 따른 biomass와 substrate의 변화

S0= 3.0

S0 = 5.0 S0 = 8.0

S0 = 1.0

(16)

Conclusions

l UM=0.8, KS=0.1, Y=0.5, tf=4, VR=5, V=10, VSF=2, VXF=3, S0=5인 조건에서

biomass의 성장이 monod 식을 따른다고 가정할 때 Repeated Medium Replacement Culture(REPLCUL)는 6 cycle 정도에서 유사 정상상태가 이루어 진다.

l 상기 조건에서 초기의 VSF가 1이라도 기질이 100% 소모되고 있기 때문에 큰 영향이 없다.

l 상기 조건에서 KS값이 0.1~5.0으로 증가하게 되면 biomass가 최대점에 이르는 시 이 약1분에서 약7분으로 증가 하게된다. 즉 biomass의 성장속도가 감소됨을 확인할 수 있다.

l 상기조건에서 VR(교환되는 배지의 량)이 2가 되면 6cycle만에 유사 정상상태까지는 도 달되지 못하며, VR을 8로 늘려주면 배지의 소모는 증가하나 biomass의 생산 역시 증가 된다.

l KS값과 S의 농도가 고정되었을 경우 biomass의 성장 속도는 UM값에 비래하게 된 다.UM값이 증가되면 biomass의 성장이 더 짧은 시간안에 종결되어 더 짧은 cycle time을 가질 수 있을 것으로 생각된다.

l 기질의 공급이 중단되면 biomass는 점차 감소하게 된다.

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