Transition to Chaos in the Kinetic Model of Cellulose Hydrolysis Under Enzyme Biosynthesis Control

TL;DR

This paper models cellulose hydrolysis with enzyme biosynthesis control, revealing complex dynamics including bifurcations, limit cycles, and strange attractors in an open biochemical system.

Contribution

It introduces a kinetic model incorporating enzyme biosynthesis control and analyzes its chaotic behavior and bifurcations.

Findings

Identification of limit cycles and bifurcations in the system

Discovery of strange attractor in the hydrolysis process

Demonstration of chaotic dynamics under open conditions

Abstract

In the paper the kinetic model of the biochemical process of cellulose hydrolysis with cell application is presented. The model includes enzyme biosynthesis control and is open conditions it represents the dynamical system in the preturbulent regime. The limit cycle and its five consequence bifurcations of the doubling-period type are found. Also the limit regime of the system - the strange attractor - is presented.