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Promoter activity

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Through Gene expression, Sigma factor and Mutation

Traditionally the measure of gene products (i.e. mRNA, proteins, etc.) has been the major approach of measure promoter activity. However, this method confront with two issues: the stochastic nature of the gene expression and the lack of mechanistic interpretation of the thermodynamical process involved in the promoter activation.

The actual developments in metabolomics product of developments of next-generation sequencing technologies and molecular structural analysis have enabled the development of more accurate models of the process of promoter activation (e.g. the sigma structure of the polymerase holoenzyme domains) and a better understanding of the complexities of the regulatory factors involved.

Promoter binding

The process of binding is central in determining the "strength" of promoters, that is the relative estimation of how "well" a promoter perform the expression of a gene under specific circumstances. Brewster et al., using a simple thermodynamical model based on the postulate that transcriptional activity is proportional to the probability of finding the RNA polymerase bound at the promoter, obtained predictions of the scaling of the RNA polymerase binding energy. This models support the relationship between the probability of binding and the output of gene expression

Mathematical representation of promoter binding

The problem of gene regulation could be represented mathematically as the probability of n molecules — RNAP, activators, repressors and inducers — are bound to a target regions.

To compute the probability of bound, it is needed to sum the Boltzmann weights over all possible states of P polymerase molecules

on DNA. Here in this deduction P is the effective number of RNAP molecules available for binding to the promoter.

This approach is based in statistical thermodynamics of two possible microscopic outcomes:

  1. one state where all P polymerases molecules are distributed among all the non-specific sites (sites not participating in gene expression)
  2. a promoter occupied and the remaining P-1 polymerases distributed among the non-specific sites.

The statistical weight of promoter unoccupied Z(P) is defined:

Z(P)=NNS!P!∗(NNS−P)!∗e−ENSKbT

Where the first term is the combinatorial result of taken P polymerase of NNS non-specific sites available, and the second term are the Boltzmann weights, where ENS is the energy that represents the average binding energy of RNA polymerase to the genomic background (non-specific sites).

Then, the total statistical weight Z(Ptotal), can be written as the sum of the Z(P) state and the RNA polymerase on promoter state:

Z(Ptotal)=Z(P)+Z(P−1)∗e−ESKbT

Where ES in the Z(P−1) state is the binding energy for RNA polymerase on the promoter (where the s stands for specific site).

Finally, to find the probability of a RNA polymerase to binding (Probbound ) to a specific promoter, we divide Z(P) by Z(Ptotal) which produces:

Probbound=11+NNSP∗e−ΔEKbT

Where, ΔE=ES−ENS

An important result of this model is that any transcription factor, regulator or perturbation could be introduced as a term multiplying P in the probability of binding equation. This term for any transcriptional factor (here called factor regulators) modify the probability of binding to:

Probbound=11+NNSP∗FR∗e−ΔEKbT

Where FR is the term for transcriptional factors, and it has the value of FR>1 for increase of FR<1 for decrease of the number of RNA polymerase available to bind.

This result has an important significance to represent mathematically all the possible configurations of transcriptional factor by derive different models to estimate FR (for further developments, see also ).

Eukaryotes promoter structure

The process of activation and binding in eukaryotes is different from bacteria in the way that specific DNA elements bind the factors for a functional pre-initiation complex. In bacteria there is a single polymerase, that contain catalytic subunits and a single regulatory subunits known as sigma, which transcribe for different type of genes.

In eukaryotes, the transcription is performed by three different RNA polymerase, RNA pol I for ribosomal RNAs (rRNAs), RNA polymerase II for messenger RNAs (mRNAs) and some small regulatory RNAs, and the RNA polymerase III for small RNAs such as transfer RNAs (tRNAs). The process of positioning of the RNA polymerase II and the transcriptional machinery require the recognition of a region known as "core promoter". The elements that could be found in the core promoter include the TATA element, the TFIIB recognition element (BRE), the initiator (Inr), and the downstream core promoter element (DPE). Promoters in eukaryotes contain one or more of these core promotes elements (but any of them are absolutely essential for promoter function), these elements are binding sites for subunits of the transcriptional machinery and are involve in the initiation of the transcription, but also they have some specific enhancer functions. In addition, the promoter activity in eukaryotes include some complexities in the way of how they integrate signals from distal factors with the core promoter.

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