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Each incubation only contains a single CYP at an effective abundance of 100%.
The effective abundance a* can be interpreted as a threshold for efficient Ag presentation.
Since the frequency at which a given Ag is presented depends on its effective abundance, this minimum number of MHC-peptide complexes can be translated into an effective abundance threshold a* (see Methods).
Because the probability of targeting an Ag depends on its effective abundance, changes in Ag abundances modify targeting probabilities.
Specifically, let us suppose that the effective abundance of antigen A i experiences a k-fold increase.
For a given self-Ag, the probability of being targeted is proportional to its effective abundance and conditional to not being tolerated.
Similar(32)
In analogy to the molar fractions in Chemistry, effective abundances were normalized so that they added up to one.
Rather, the model predicts a maximum reaction risk for self-Ags whose effective abundances lie around a particular value a max.
Accordingly, only those Ags with effective abundances greater than a* are presented efficiently and induce an adaptive response, whereas Ags with sub-threshold abundance can still be presented but they do not produce a response.
According to our model, the IS is not equally sensitive to changes in all self-Ags but rather, to those Ags whose basal effective abundances lie around a max.
Note that when peripheral tolerance comes into play, the riskiest self-Ags shift from those with effective abundances around a max to those around the presentation threshold a*, for which the probability of being erroneously targeted is lower.
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