Applied Mathematicsematics

Abstract Set Theory (Notre Dame Mathematical Lectures 8) by Thoralf Skolem

By Thoralf Skolem

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Chalkboard Entities and Actions are endowed with Functional attributes (FA) that represent the values of their physical properties. For example, a molecule has a single FA, its amount (ami); how much of the molecule exists in the system. Functional sites have three properties: amount (assumed to equal to the amount of the site's parent molecule), activity (the fraction of sites in an active state), and availability (the amount of active sites). Binding sites are specialized with two additional FAs: occupancy (the fraction of sites occupied by ligand-) and bound amount (the amount of occupied sites).

The design of effective therapeutics requires a rigorous understanding of how modulation of a particular molecular entity would affect a distributed signaling system. As Chalkboard is designed to assess this issue, we suggest that use of Chalkboard modeling could facilitate the identification of appropriate pharmacogenetic therapeutic targets within Alzheimer's Disease and other human pathologies. 26 References 1. Joshi-Tope G. GM, Vastrik I, D'Eustachio P, Schmidt E, de Bono B, Jassal B, Gopinath GR, Wu GR, Matthews L, Lewis S, Birney E, Stein L.

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