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Modelling and simulation of cellulase adsorption and recycling during enzymatic hydrolysis of cellulosic materials

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Abstract

Characteristics of cellulase adsorption on cellulosic substrates and their recycling during the hydrolysis of cellulose were studied. On the basis of the experimental data, a comprehensive model was set up comprising of sub-models for the enzyme adsorption, enzymatic hydrolysis and recycling of enzymes. The model equations consist of non-linear systems of ordinary differential and algebraic equations. The model parameters were identified by means of the experimental results of Singh et al. [1] and Bader et al. [2]. The simulation results with the model corresponded well with the experimental data. Thus, the good agreement between simulated and measured process variables indicates that the model is suitable for description of cellulase adsorption and recycling during hydrolysis of cellulosic substrates.

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Abbreviations

C g/l:

cellulose concentration

CB g/l:

cellobiose concentration

cb a U/g:

specific adsorbed cellobiase

cb am U/g:

maximum specific adsorbed cellobiase

cb f U/g:

specific free cellobiase

cb t U/g:

specific total cellobiase

ce a U/g:

specific adsorbed cellulase

en a U/g:

specific adsorbed endoglucanase

en am U/g:

maximum specific adsorbed endoglucanase

en f U/g:

specific free endoglucanase

en t U/g:

specific total endoglucanase

ex a U/g:

specific adsorbed exoglucanase

ex am U/g:

maximum specific adsorbed exoglucanase

ex f U/g:

specific free exoglucanase

ex t U/g:

specific total exoglucanase

Ex f U/l:

free exoglucanase

G g/l:

glucose concentration

k c g/U h:

rate constant of cellulose hydrolysis

K CB g/l:

constant of competitive inhibition by cellobiose (cellulose hydrolysis)

k CB 1/h:

rate constant of cellobiose hydrolysis

K cb U/g:

limitation constant of cellobiase adsorption

k cb 1/h:

rate constant of cellobiase adsorption

K en U/g:

limitation constant of endoglucanase adsorption

k en 1/h:

rate constant of endoglucanase adsorption

K ex U/g:

limitation constant of exoglucanase adsorption

k ex 1/h:

rate constant of exoglucanase adsorption

K G g/l:

constant of competitive inhibition by glucose (cellulose hydrolysis)

K ICB g/l:

constant of competitive inhibition by cellobiose (cellobiose hydrolysis)

K IG g/l:

constant of competitive inhibition by glucose (cellobiose hydrolysis)

S g/l:

substrate concentration

t h:

time

U cb U/g:

specific capacity of cellobiase loading on substrate

U en U/g:

specific capacity of endoglucanase loading on substrate

U ex U/g:

specific capacity of exoglucanase loading on substrate

References

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Authors and Affiliations

  1. Institut für Technische Chemie, Universität Hannover, Callinstraße 3, 3000, Hannover 1, Federal Republic of Germany

    J. Bader, K. -H. Bellgardt, A. Singh, P. K. R. Kumar & K. Schügerl

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  1. J. Bader
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  2. K. -H. Bellgardt
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  3. A. Singh
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  4. P. K. R. Kumar
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  5. K. Schügerl
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Bader, J., Bellgardt, K.H., Singh, A. et al. Modelling and simulation of cellulase adsorption and recycling during enzymatic hydrolysis of cellulosic materials. Bioprocess Engineering 7, 235–240 (1992). https://doi.org/10.1007/BF00369552

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