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The aim of our modeling approach is the formal description of the biosensor system. We look from an engineering viewpoint and want to create a technical specification for our device similar to the specifications often found in electrical engineering.

The basis for the mathematical formulation has to be an abstract representation. The underlying network we used for our modeling tasks is structured as follows:

Another aspect we want to consider with a computational model are the benefits for both the model and the biological system. Through several iterations of analyses of the computational model and data generation with the biological system, we can verify the model and find interesting characteristics of the biological system.

Model equations

In essence, the computational model consists of the following three equations. The all specify the concentrations for the key components of the system: (1) for the active receptor (ligand-receptor-complex), (2) for the repressor protein and (3) for the reporter protein.

This approach combines the transcription and translation processes into a single production process. There is also only one degradation process. Through this simplification, the number of parameters is reduced to 8.


General behavior

sensitivity analysis



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