Toxin-antitoxin modules are small genetic systems that are widely present in the genomes of bacteria and archaea. Most often, the sequence contains a code for a toxin and an antitoxin protein, along with an operator region through which the expression levels of both proteins are regulated. The toxin halts cell growth, while the antitoxin forms a complex with the toxin and inhibits it. Antitoxin and toxin-antitoxin complexes with various stoichiometries bind to the operator region, thereby regulating the expression levels of both proteins. In this thesis, we will conduct a stochastic kinetic simulation of the functioning of a model toxin-antitoxin system by describing the regulation of the module's operation as a logic circuit and then study the impact of parameters on the system's functioning. In many modules, the circuit is designed so that regulation depends on the molar ratio of toxin/antitoxin, so we will compare the operation of the sistem with formal circuits with a simpler design, where expression is not dependent on the molar ratio.
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