이온교환 크로마토그래피를 해석하고자 비선형 흡착식인 Langmuir 흡착모델과 물질전달저항이 고려된 기공확산모델을 근거로 모델식을 유도하였다. 유도된 모델식은 중앙차분법을 적용하여 음함수 Euler방법으로 풀이하였으며, 수치모사에 필요한 매개변수들을 추정, 매개변수들이 용출곡선과 용출시간에 미치는 영향을 조사하였다. 축방향 ...
이온교환 크로마토그래피를 해석하고자 비선형 흡착식인 Langmuir 흡착모델과 물질전달저항이 고려된 기공확산모델을 근거로 모델식을 유도하였다. 유도된 모델식은 중앙차분법을 적용하여 음함수 Euler방법으로 풀이하였으며, 수치모사에 필요한 매개변수들을 추정, 매개변수들이 용출곡선과 용출시간에 미치는 영향을 조사하였다. 축방향 분산계수가 증가할수록 용출시간은 빨랐으나 용출곡선에서 tailing이 발생하였고, 경막물질전달계수는 용출시간에 거의 영향을 미치지 않았으며, 칼럼의 공극율은 용출곡선 모양에 많은 영향을 미쳐 공극율이 증가하면 용출곡선이 넓어지면서, 잔류시간이 느려짐을 알 수 있었다. 추정한 매개변수를 제안된 모델식에 적용하여, CM-Sepharose FF로 충진된 이온교환 크로마토그래피에 의한 ε-Poly-L-lysine 분리를 수치적으로 잘 모사할 수 있었다.
이온교환 크로마토그래피를 해석하고자 비선형 흡착식인 Langmuir 흡착모델과 물질전달저항이 고려된 기공확산모델을 근거로 모델식을 유도하였다. 유도된 모델식은 중앙차분법을 적용하여 음함수 Euler방법으로 풀이하였으며, 수치모사에 필요한 매개변수들을 추정, 매개변수들이 용출곡선과 용출시간에 미치는 영향을 조사하였다. 축방향 분산계수가 증가할수록 용출시간은 빨랐으나 용출곡선에서 tailing이 발생하였고, 경막물질전달계수는 용출시간에 거의 영향을 미치지 않았으며, 칼럼의 공극율은 용출곡선 모양에 많은 영향을 미쳐 공극율이 증가하면 용출곡선이 넓어지면서, 잔류시간이 느려짐을 알 수 있었다. 추정한 매개변수를 제안된 모델식에 적용하여, CM-Sepharose FF로 충진된 이온교환 크로마토그래피에 의한 ε-Poly-L-lysine 분리를 수치적으로 잘 모사할 수 있었다.
To analyze ion exchange chromatographies, a mathematical model was derived. This model is based on the Langmuir adsorption equation, that is a nonlinear adsorption equation, and a pore diffusion model including a mass transfer coefficient. The model equations were solved by an implicit Euler method ...
To analyze ion exchange chromatographies, a mathematical model was derived. This model is based on the Langmuir adsorption equation, that is a nonlinear adsorption equation, and a pore diffusion model including a mass transfer coefficient. The model equations were solved by an implicit Euler method after discretizing them using a central finite difference method. Some model parameters were estimated and the effect of these parameters on elution curve and retention time were investigated. As a axial dispersion coefficient increased, retention time appeared earlier and tailing occurred in the elution curve. Thin-film mass transfer coefficient has slightly affected on retention time. However, column bed void fraction had strongly affected the shape of elution curve. It was found that if bed void fraction decreased, elution curve became broad and retention time increased. By applying the estimated parameters to the model, the ε-Poly-L-lysine separation by an ion exchange chromatography packed with CM-Sepharose FF could be numerically simulated.
To analyze ion exchange chromatographies, a mathematical model was derived. This model is based on the Langmuir adsorption equation, that is a nonlinear adsorption equation, and a pore diffusion model including a mass transfer coefficient. The model equations were solved by an implicit Euler method after discretizing them using a central finite difference method. Some model parameters were estimated and the effect of these parameters on elution curve and retention time were investigated. As a axial dispersion coefficient increased, retention time appeared earlier and tailing occurred in the elution curve. Thin-film mass transfer coefficient has slightly affected on retention time. However, column bed void fraction had strongly affected the shape of elution curve. It was found that if bed void fraction decreased, elution curve became broad and retention time increased. By applying the estimated parameters to the model, the ε-Poly-L-lysine separation by an ion exchange chromatography packed with CM-Sepharose FF could be numerically simulated.
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