A monte carlo analysis of the depolymerization of linear and
branched polisaccharides by single and/or multiple attack
mechanism by endo- and exo-amylases

Piotr Wojciechowski* and Iwona Grad**

* Institute of Chemical Engineering & Heat Equipment, Wrocław University of Technology
Norwida 4/6, Wrocław 50-373, Poland

** Institute of Organic Chemistry, Biochemistry & Biotechnology, Wrocław University of Technology
Wybrzeże Wyspiańskiego 27, Wrocław 50-370, Poland


A computer program for simulation the process of amylolitic hydrolysis of starch had been developed. It is based on Monte Carlo method and iteration kinetic model, which predictes productive and non-productive amylase complex with substrates [1]. It describes both multienzymatic and multisubstrate reaction simulating the “real” concentration of all participles versus time of the depolimerization reaction (Fig. 1). Number of substrates, intermediate products and end products are limited only by computer memory. We assumed that “proper” substrates for amylases are glucoside linkages in starch molecules [2]. Presented computer program includes:

The model was tested on experimental data obtained for a -, b - and glucoamylases. For more information please visit the web site on the following Internet address: http://www.iic.pwr.wroc.pl/~siechu/bio/index.html.

Figure 1

Figure 1. Comparison of experimental data (shown as squares) with computer simulation (dashed line) for a -amylase from Bacillus subtilis and commercial potato starch (cE=7.3 mg/ml, cS0 = 2.48 mg/ml). Additionally shown concentration of oligosacharydes from 2 to 6 DP and intermediate products (show as continuous lines) which are not measured with standard DNS laboratory test [2].

  1. H. Nakatani, Biopolymers, 39, 665-669 (1996).
  2. A. Noworyta, P. Wojciechowski, J. Bryjak, XV Ogólnopolska Konferencja Naukowa Inżynierii Chemicznej i Procesowej, 4, 160-165, Gdańsk (1995).
  3. Z. L. Nikolov et al., Biotech. Bioeng., 34, 694-704 (1989).