• 제목/요약/키워드: Michaelis-Menten Model

검색결과 25건 처리시간 0.032초

Prediction of Continuous Reactors Performance Based on Batch Reactor Deactivation Kinetics Data of Immobilized Lipase

  • Murty, V.Ramachandra;Bhat, Jayadev;Muniswaran, P.K.A.
    • Biotechnology and Bioprocess Engineering:BBE
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    • 제7권4호
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    • pp.225-230
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    • 2002
  • Experiments on deactivation kinetics of immobilized lipase enzyme from Candida cyl-indracea were performed in stirred bath reactor using rice bran oil as the substrate and temperature as the deactivation parameter. The data were fitted In first order deactivation model. The effect of temperature on deactivation rate was represented by Arrhenius equation. Theoretical equations were developed based on pseudo-steady state approximation and Michaelis -Menten rate expression to predict the time course of conversion due to enzyme deactivation and apparent half-life of the immobilized enzyme activity in PFR and CSTH under constant feed rate polity for no diffusion limitation and diffusion limitation of first order. Stability of enzyme in these continuous reactors was predicted and factors affecting the stability were analyzed.

Analysis of Kinetic Data of Pectinases with Substrate Inhibition

  • Gummadi, Sathyanarayana-N.;Panda, T.
    • Journal of Microbiology and Biotechnology
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    • 제13권3호
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    • pp.332-337
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    • 2003
  • Enzyme kinetics data play a vital role in the design of reactors and control of processes. In the present study, kinetic studies on pectinases were carried out. Partially purified polymethylgalacturonase (PMG) and polygalacturonase (PG) were the two pectinases studied. The plot of initial rate vs. initial substrate concentration did not follow the conventional Michaelis-Menten kinetics, but substrate inhibition was observed. For PMG, maximum rate was attained at an initial pectin concentration of 3 g/l, whereas maximum rate was attained when the initial substrate concentration of 2.5 g/l of polygalacturonic acid for PG I and PG II. The kinetic data were fitted to five different kinetic models to explain the substrate inhibition effect. Among the five models tested, the combined mechanism of protective diffusion limitation of both high and inhibitory substrate concentrations (semi-empirical model) explained the inhibition data with 96-99% confidence interval.

비선형시스템 관점으로부터 세포 신호전달경로의 동역학 분석 (Dynamical Analysis of Cellular Signal Transduction Pathways with Nonlinear Systems Perspectives)

  • 김현우;조광현
    • 제어로봇시스템학회논문지
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    • 제10권12호
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    • pp.1155-1163
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    • 2004
  • Extracellular signal-regulated kinase (ERK) signaling pathway is one of the mitogen-activated protein kinase (MAPK) signal transduction pathways. This pathway is known as pivotal in many signaling networks that govern proliferation, differentiation and cell survival. The ERK signaling pathway comprises positive and negative feedback loops, depending on whether the terminal kinase stimulates or inhibits the activation of the initial level. In this paper, we attempt to model the ERK pathway by considering both of the positive and negative feedback mechanisms based on Michaelis-Menten kinetics. In addition, we propose a fraction ratio model based on the mass action law. We first develop a mathematical model of the ERK pathway with fraction ratios. Secondly, we analyze the dynamical properties of the fraction ratio model based on simulation studies. Furthermore, we propose a concept of an inhibitor, catalyst, and substrate (ICS) controller which regulates the inhibitor, catalyst, and substrate concentrations of the ERK signal transduction pathway. The ICS controller can be designed through dynamical analysis of the ERK signaling transduction pathway within limited concentration ranges.

Bio-degradation of Phenol in Wastewater by Enzyme-loaded Membrane Reactor: Numerical Approach

  • Barbieri, Giuseppe;Choi, Seung-Hak;Scura, Francesco;Mazzei, Rosalinda;Giorno, Lidietta;Drioli, Enrico;Kim, Jeong-Hoon
    • 멤브레인
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    • 제19권1호
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    • pp.72-82
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    • 2009
  • A mathematical model was written for simulating the removal of phenol from wastewater in enzyme-loaded membrane reactor (EMR). The numerical simulation program was developed so as to predict the degradation of phenol through an EMR. Numerical model proves to be effective in searching for optimal operating conditions and creating an optimal microenvironment for the biocatalyst in order to optimize productivity. In this study, several dimensionless parameters such as Thiele Modulus (${\phi}^2$, dimensionless Michaelis-Menten constant ($\xi$), Peclet number (Pe) were introduced to simplify their effects on system efficiency. In particular, the study of phenol conversion at different feed compositions shows that low phenol concentrations and high Thiele Modulus values lead to higher reactant degradation.

경쟁적 저해를 갖는 고정화 β-galactosidase 반응기의 해석 (Analysis of an Immobilized β-Galactosidase Reactor with Competitive Product Inhibition Kinetics)

  • 강병철
    • 생명과학회지
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    • 제23권12호
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    • pp.1471-1476
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    • 2013
  • Duolite A568 담체에 흡착으로 ${\beta}$-galactosidase를 고정화시켰다. 효소의 흡착되는 현상은 Freundlich 흡착 등온식을 잘 따랐다. 흡착에 관여된 파라미터인 k와 n은 각각 14.62와 1.744를 얻었다. 자유 효소와 고정화 효소의 속도식에 관여된 매개변수를 구하기 위해 초기 속도법을 실시하였다. Michaelis-Menten 상수($K_m$)는 고정화 효소가 120 mM이고 자유 효소가 79 mM 이었다. 재순환 충진층 반응기에서 갈락토스의 농도를 변화시키면서 경쟁적 저해식에 대한 영향을 조사하였다. 갈락토스에 의한 경쟁적 저해식에 대한 모델이 실험 결과와 잘 일치하였으며 $V_m$, $K_m$ 그리고 $K_I$ 값은 각각 46.3 $mmolmin^{-1}mg^{-1}$, 120 mM and 24.4 mM 이었다. 연속 충진층 반응기에서 락토스 용액의 유량을 증가시킬 때 서로 다른 락토스 농도에서 락토스의 전환율이 감소하였다. 장기 연속 조업을 통해 고정화 효소의 안정성을 평가하기 위해 11일 동안 연속적으로 반응기 운전을 실시하였다. 고정화 효소의 잔류하는 활성은 63%로 유지되었고 효소의 반감기는 15일로 밝혀졌다.

페놀분해세균인 Pseudomonas sp. EL-04J에 의한 Trichloroethylene의 공동대사 (Cometabolism of Trichloroethylene by a Phenol-Degrading Bacterium, Pseudomonae sp. EL-04J)

  • 김호성;박근태;손홍주;박성훈;이상중
    • 한국환경과학회지
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    • 제10권5호
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    • pp.359-364
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    • 2001
  • Pseudomanas sp. EL-04J was previously isolated from phenol-acclimated activated sludge. This bacterium was capable of degrading phenol and cometabolizing trichloroethylene (TCE). After precultivation in the mineral salts medium containing phenol as a sole carbon source, Pseudomonas EL-04J degraded 90% of TCE $25 \mu\textrm{M}$ within 20 hours. Thus, phenol-induced Pseudomonas sp. EL-04J cells can bdegrade TCE. Followsing a transient lag period, Pseudomonas sp. EL-04J cells degraded TCE at concentrations of at least $250 \mu\textrm{M}$ with no apparent retardation in rate, but the transformance capacity of such cells was limited and depended on the cell concentration. The degradation rate of TCE followed the Michaelis-Menten kinetic model. The maximum degradation ratio ($V_{max}$) and saturation constant ($K_{m}$) were $7nmo {\ell}/min{\cdot}mg$ cell protein and $11 \mu\textrm{M}$, respectively. Cometabolism of TCE by phenol fed experiment was evaluated in $50m {\ell}$ serum vial that contained $10m {\ell}$ of meneral sals medium supplemented with $10 \mu\textrm{M}$ TCE degradation was inhibited in the initial period of 1 mM phenol addition, but after that time Pseudomonas sp. EL-04J cells degraded TCE and showed cell growth.

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건강한 성인에서의 알코올의 집단 약물동태/약물동력에 미치는 산소의 영향 연구 (Influence of Oxygen to Population Pharmacokinetics/Pharmacodynamics of Alcohol in Healthy Volunteers)

  • 송병정;백현문;황시영;채정우;윤휘열;권광일
    • 한국임상약학회지
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    • 제27권4호
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    • pp.258-266
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    • 2017
  • Objective: To develop a population pharmacokinetics (PK)/pharmacodynamics (PD) model for alcohol in healthy volunteers and to elucidate individual characteristics to affects alcohol's PK or PD including dissolved oxygen. Methods: Following multiple intakes of total 540 mL alcohol (19.42 v/v%) to healthy volunteer, blood alcohol concentration was measured using a Breathe alcohol analyser (Lion SD-400 $Alcolmeter^{(R)}$). A sequential population PK/PD modeling was performed using NONMEM (ver 7.3). Results: Eighteen healthy volunteer were included in the study. PK model of alcohol was well explained by one-compartment model with first-order absorption and Michaelis-Menten elimination kinetics. $K_a$, V/F, $V_{max}$, $K_m$ is $8.1hr^{-1}$, 73.7 L, 9.65 g/hr, 0.041 g/L, respectively. Covariate analysis revealed that gender significantly influenced $V_{max}$ (Male vs Female, 9.65 g/hr vs 7.38 g/hr). PD model of temporary systolic blood pressure decreasing effect of alcohol was explained by biophase model with inhibitory $E_{max}$ model. $K_{e0}$, $I_{max}$, $E_0$, $IC_{50}$ were $0.23hr^{-1}$, 44.9 mmHg, 138 mmHg, 0.693 g/L, respectively. Conclusion: Model evaluation results suggested that this PK/PD model was robust and has good precision.

Chitosan 담체에 고정화된 β-galactosidase에 의한 유당 분해 특성 (Characteristics of Lactose Hydrolysis by Immobilized β-Galactosidase on Chitosan Bead)

  • 강병철
    • 생명과학회지
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    • 제21권1호
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    • pp.127-133
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    • 2011
  • ${\beta}$-galactosidase를 공유결합으로 키토산 담체에 고정화하여 고정화 효소의 특성을 조사하였다. 또한 충진층 반응기에서 연속 조업을 실시하여 공정 최적화를 실시하였다. 키토산 담체에 대한 효소 고정화 효율은 최대 75%을 나타내었다. 고정화 효소에 대한 최적의 pH는 7.0이었고 최적의 온도는 $50^{\circ}C$였다. pH와 온도의 실험 범위에서 고정화 효소가 자유 효소에 비해 넓은 분포를 보여 pH와 온도에 덜 민감하게 작용하였다. 충진층 반응기에서 고정화 효소의 운전에 대한 수학적 모델을 세우고 수치적으로 해를 구하였다. 투입되는 유당의 농도와 유량에 대해서 충진층 반응기의 출구에서 유당의 전환율을 측정하였다. 실험 결과를 경쟁적 저해 효소 반응식과 물질전달 저항을 고려한 수학적 모델의 결과와 비교하였다. 모델의 결과는 실험 결과를 5% 이내의 오차로 잘 예측하였다. 그리고 충진층 반응기의 길이에 따른 유당 전환율과 연속운전 시간에 따른 효소의 비활성화를 고려한 전환율을 모델로부터 예측하였다.

Purification and Characterization of Novel Bifunctional Xylanase, XynIII, Isolated from Aspergillus niger A-25

  • Chen Hong-Ge;Yan Xin;Liu Xin-Yu;Wang Ming-Dao;Huang Hui-Min;Jia Xin-Cheng;Wang Jin-An
    • Journal of Microbiology and Biotechnology
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    • 제16권7호
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    • pp.1132-1138
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    • 2006
  • Three types of xylanases (EC 3.2.1.8) were detected in the strain Aspergillus niger A-25, one of which, designated as XynIII, also displayed ${\beta}-(l,3-1,4)-glucanase$ (EC 3.2.1.73) activity, as determined by a zymogram analysis. XynIII was purified by ultrafiltration and ion-exchange chromatography methods. Its apparent molecular weight was about 27.9 kDa, as estimated by SDS-PAGE. The purified XynIII could hydrolyze birchwood xylan, oat spelt xylan, lichenin, and barley ${\beta}-glucan$, but not CMC, avicel cellulose, or soluble starch under the assay conditions in this study. The xylanase and ${\beta}-(l,3-1,4)-glucanase$ activities of XynIII both had a similar optimal pH and pH stability, as well as a similar optimal temperature and temperature stability. Moreover, the effects of metal ions on the two enzymatic activities were also similar. The overall hydrolytic rates of XynIII in different mixtures of xylan and lichenin coincided with those calculated using the Michaelis-Menten model when assuming the two substrates were competing for the same active site in the enzyme. Accordingly, the results indicated that XynIII is a novel bifunctional enzyme and its xylanase and ${\beta}-(l,3-1,4)-glucanase$ activities are catalyzed by the same active center.

Saturable Disposition of Taurine in the Cerebrospinal Fluid of the Rat

  • Chung, Suk-Jae
    • 한국응용약물학회:학술대회논문집
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    • 한국응용약물학회 1996년도 제4회 추계심포지움
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    • pp.99-113
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    • 1996
  • Taurine, a ${\beta}$-amino acid, plays an important role as a neuromodulator and is necessary for the normal development of the brain. Since de novo synthesis of taurine in the brain is minimal and in vivo studies suggest that taurine does not cross the blood-brain barrier, the blood-cerebrospinal fluid (CSF) barrier is likely to play a role in taurine transport between the central nervous system and the systemic circulation. Therefore, we examined in vivo elimination of taurine from the CSF in the rat to characterize in vivo kinetics of elimination for taurine from the CSF is consistent with the in vitro study. Using a stereotaxic device, cannulaes were placed into the lateral ventricle and the cisterna magna of the rat. Radio-labelled taurine and inulin (a marker of CSF flow) were injected into the lateral ventricle, and the concentrations of the labelled compounds in the CSF were monitored for up to 3 hrs in the cisterna magna. The apparent clearance of taurine from CSF was greater than the estimated CSF flow (p<0.005), indicating that there is a clearance process in addition to the CSF flow. Taurine distribution into the choroid plexus was at least 10 fold higher than that found in other brain areas (e.g., cerebellum, olfactory bulb and cortex). When unlabelled taurine was co-administered with radio-labelled taurine, the apparent clearance of the labeled taurine was reduced (p<0.01), suggesting a saturable disposition of taurine from CSF. Distribution of taurine into the choroid plexus, cerebellum, olfactory bulb and cortex was similarly diminished, indicating that the saturable uptake of taurine into these tissues is responsible for the non-linear disposition. A pharmacokinetic model involving first order elimination and saturable distribution described these data adequately. The Michaelis-Menten rate constant estimated from in vivo elimination study is similar to that obtained in the in vitro uptake experiment Collectively, our results demonstrate that taurine is transported in the choroid plexus via a taurine is cleared from the CSF via a saturable process. This process may be functionally relevant to taurine homeostasis in the brain.

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