Gene Expression Thermodynamic Interpretation

In the equations above fisM and fisp respectively represent the chemical potentials of the substrates out of which RNA and proteins are made. On the other hand, Pym and pyp are the chemical potentials of the final products into which RNA and proteins are degraded. 

Although we did not smdy the dynamics of gene regulation when the promoter is regulated, we do can compute the heat dissipation rate. The reason is that, as we have seen, promoter regulation is a process that complies with chemical equilibrium, and so does not contribute to the heat dissipation rate. Therefore, we only need to take into account the effect of repressors on transcription to obtain  

Here we employed all previous techniques and results to analyze different models for gene expression. We started with very simple toy models, but soon taekled more realistic and more complex models. By progressively increasing the complexity of the models we could understand the consequence of each newly incorporated feature, and learn how to deal with the resulting mathematical complexity. After finishing this chapter the reader is expected to have a more than superficial understanding of the dynamics and thermodynamics of gene expression. But also, he/she is expected to be able to use the results in this chapter as an example of how to use the concepts and results introduced in previous chapter to study all kinds of biochemical systems. 

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