Modeling biological systems in Laplace Domain for Synthetic Biology Design
Abstract
Synthetic Biology is becoming increasing importance in the field of medicine. Synthetic biology involves the use of engineering approach to design and construct biological systems using standard interconnected biological parts. These systems are constructed using a bottom-up approach while the design of the systems takes a top-down approach. During the design stage of the engineering cycle, models of the biological systems are constructed in order to study and predict the behavior of the engineered biological systems. The aim is to improve the likelihood of obtaining the desired working systems. Models can be described using Ordinary Differential equations (ODEs). However, when the systems become more complicated, it becomes increasing difficult to model the systems using ODEs. ODEs do not allow one to visualize the inter relationship of the variables. In this paper we present a methodology based on control system theory to model such biological systems. The models will be represented in the Laplace Domain with non-linear characteristics of the systems included in the analysis.
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