[1] Gomez J.L, Bodalo A., Gomez E., Bastida J. and Maximo M.F. (2003) Two-parameter model for evaluating effectiveness factor for immobilized enzymes with reversible Michaelis–Menten kinetics. Chemical Engineering Science, 58, 4287-4290.
[2] Manjon A., Iborra J.L., Gomez J.L., Gomez E., Bastida J. and Bodalo A. (1987), Evaluation of the effectiveness factor along immobilized enzyme fixed-bed reactors: Design of a reactor with naringinase covalently immo- bilized into glycophase-coated porous glass. Biotech- nology and Bioengineering, 30, 491-497. doi:10.1002/bit.260300405
[3] Bodalo S.A., Gomez C.J.L., Gomez E., Bastida R.J. and Martinez M. E. (1993) Transient stirred-tank reactors operating with immobilized enzyme systems: Analysis and simulation models and their experimental checking. Biotechnology Progress, 9, 166-173. doi:10.1021/bp00020a008
[4] Bodalo A., Gomez J.L., Gomez E., Bastida J. and Maximo M.F. (1995) Fluidized bed reactors operating with immobilized enzyme systems: Design model and its experimental verification. Enzyme and Microbial Technology, 17, 915-922. doi:10.1016/0141-0229(94)00125-B
[5] Carnahan B., Luther H.A. and Wilkes J.O. (1969) Applied numerical methods,Wiley, New York.
[6] Villadsen J., Michelsen M.L. (1978) Solution of differential equation models by polynomial approximation. New York: Prentice-Hall,Englewood Cliffs.
[7] Lee J. and Kim D.H. (2005) An improved shooting method for computation of effectiveness factors in porous catalysts. Chemical Engineering Science, 60, 5569-5573. doi:10.1016/j.ces.2005.05.027
[8] Lyons M.E.G., Greer J.C., Fitzgerald C.A., Bannon T. and Bartlett P.N. (1996) Reaction/Diffusion with Michaelis- Menten kinetics in electroactive polymer films Part 1. The steady-state amperometric response. Analyst, 12, 1715.
[9] Lyons M.E.G., Bannon T., Hinds G. and Rebouillat S. (1998) Reaction/Diffusion with Michaelis-Menten kinetics in electroactive polymer films Part 1. The transient amperometric response. Analyst, 123, 1947. doi:10.1039/a803274b
[10] Lyons M.E.G., Murphy J., Bannon T. and Rebouillat S. (1999) Reaction, diffusion and migration in conducting polymer electrodes: Analysis of the steady-state amperometric response. Journal of Solid State Electrochemistry, 3, 154-162. doi:10.1007/s100080050142
[11] Moo-Young M. and Kobayashi T. (1972) Effectiveness factors for immobilized enzyme reactions. Canadian Journal of Chemical Engineering, 50, 162-167. doi:10.1002/cjce.5450500204
[12] Kobayashi T. and Laidler K. J. (1973) Effectiveness factor calculations for immobilized enzyme catalysts. Biochimica et Biophysica Acta, 1, 302-311.
[13] Engasser J.M. and Horvath J.C. (1973) Metabolism: interplay of membrane transport and consecutive enzymic reaction. Journal of Theoretical Biology, 42, 137-155. doi:10.1016/0022-5193(73)90153-7
[14] Marsh D.R., Lee Y.Y. and Tsao G.T. (1973) Immobilized glucoamylase on porous glass. Biotechnology and Bioengineering, 15, 483-492. doi:10.1002/bit.260150305
[15] Hamilton B.K., Cardner C.R. and Colton C.K. (1974) Effect of diffusional limitations on lineweaver-burk plots for immobilized enzymes. AIChE Journal, 20, 503-510. doi:10.1002/aic.690200310
[16] Rovito B.J. and Kittrell J.R. (1973) Film and pore diffusion studies with immobilized glucose Oxidase. Biotechnology and Bioengineering, 15, 143-161. doi:10.1002/bit.260150111
[17] Engasser J.M. (1978) The experimental results accorded quantitatively with the theory of diffusion limitation. Biochimica et Biophysica Acta, 526, 301-310.
[18] Aydogan O., Bayraktar E. and Mehmetoglu U. (2011) Determination of effective diffusion coefficient of acetophenone in carrageenan and asymmetric bioreduction in packed bed reactor. Journal of Molecular Catalysis B: Enzymatic, 72, 46-52. doi:10.1016/j.molcatb.2011.04.023
[19] Puida M., Malinauskas A., Ivanauskas F. (2011) Mode- ling of electrocatalysis at conducting polymer modified electrodes: Nonlinear current-concentration profiles. Journal of Mathematical chemistry, 49, 1151-1162. doi:10.1007/s10910-011-9802-y
[20] Marc A. and Engasser J.M. (1982) Influence of substrate and product diffusion on the heterogeneous kinetics of enzymic reversible reactions. Journal of Theoretical Biology, 94, 179-189. doi:10.1016/0022-5193(82)90339-3
[21] Goldman R., Keden O., Silman I.H., Caplan S.R. and Katchalski E. (1968) Papain-collodion membranes. I. Preparation and properties. Biochemistry, 7, 486-500. doi:10.1021/bi00842a002
[22] Engasser J.M. and Horvath C. (1974) Inhibition of bound enzymes. II. characterization of product inhibition and accumulation. Biochemistry, 133, 849-3854.
[23] Ramachandran P.A. (1975) Solution of immobilized enzyme problems by collocation methods. Biotechnology and Bioengineering, 17, 211-226. doi:10.1002/bit.260170207
[24] Liao S.J. (1992) The proposed homotopy analysis technique for the solution of nonlinear problems, Ph. D. Thesis, Shanghai Jiao Tong University, Shanghai.
[25] Awawdeh F., Jaradat H.M. and Alsayyed O. (2009) Solving System of DAEs by Homotopy Analysis. Chaos Solitons and Fractals, 42, 1422-1427. doi:10.1016/j.chaos.2009.03.057
[26] Jafari H., Chun C., Seifi S. and Saeidy M., (2009) Analytical solution for nonlinear Gas Dynamic equation by Homotopy Analysis Method. Applied Mathmatics, 4, 149-154.
[27] Sohouli A.R., Famouri M., Kimiaeifar A. and Domairry G., (2010) Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in pours media prescribed surface heat flux. Communications in Nonlinear Science and Numerical Simulation, 15, 1691-1699. doi:10.1016/j.cnsns.2009.07.015
[28] Domairry G. and Fazeli M. (2009) Homotopy analysis method to determine the fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Communications in Nonlinear Science and Numerical Simulation, 14, 489-499. doi:10.1016/j.cnsns.2007.09.007
[29] Liao S.J. (2004) On the homotopy analysis method for nonlinear problems. Applied Mathematics and Computation, 147, 499-513. doi:10.1016/S0096-3003(02)00790-7
[30] Domairry G. and Bararnia H. (2008) An Approximation of the Analytic Solution of Some Nonlinear Heat Transfer Equations: A Survey by using Homotopy Analysis Method. Advanced studies in theoretical physics, 2, 507-518.
[31] Liao S.J. (2003) Beyond Perturbation: Introduction to the Homotopy analysis method. Chapman and Hall, CRC Press, Boca Raton. doi:10.1201/9780203491164