Deterministic vs. Stochastic Models

The Two Equations Used to Model Gene Expression

Determinisic
A deterministic equation uses a rate equation to describe the transcription and translation of genes. Deterministic equations are characterized as behaving predictably, more specifically a single input will consitently produce the same output. Returning to one of the Collins graphs, the blue line represents the deterministic model and the red line represents the stochastic model.

Stochastic
Stochastic models take into account the "randomness" of transcription and translation by utilizing variables for the formation and decay of single molecules and multi-component complexes.

Here is a visual representation of a stochastic model. Nodes represent states of molecular complexes while arrows represent binding of transcriptional, translational and degredation proteins.

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