Phenotypic spandrel: absolute discrimination and ligand antagonism
Paul Fran\c{c}ois, Mathieu Hemery, Kyle A. Johnson, Laura N. Saunders

TL;DR
This paper explores the fundamental nature of biochemical discrimination, revealing that ligand antagonism is a universal by-product of specific discrimination mechanisms, with implications for immune and endocrine signaling.
Contribution
It provides a mathematical characterization of discrimination and demonstrates that antagonism is a generic consequence of specific detection, contrasting with traditional proofreading models.
Findings
Antagonism is a universal feature of specific discrimination mechanisms.
A simple model shows antagonism strength is linearly related to distance from threshold.
Traditional proofreading models predict vanishing antagonism far from detection threshold.
Abstract
We consider the general problem of sensitive and specific discrimination between biochemical species. An important instance is immune discrimination between self and not-self, where it is also observed experimentally that ligands just below discrimination threshold negatively impact response, a phenomenon called antagonism. We characterize mathematically the generic properties of such discrimination, first relating it to biochemical adaptation. Then, based on basic biochemical rules, we establish that, surprisingly, antagonism is a generic consequence of any strictly specific discrimination made independently from ligand concentration. Thus antagonism constitutes a "phenotypic spandrel": a phenotype existing as a necessary by-product of another phenotype. We exhibit a simple analytic model of discrimination displaying antagonism, where antagonism strength is linear in distance from…
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