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Journal Articles Journal of Mathematical Biology Year : 2020

Cooperativity, absolute interaction, and algebraic optimization


We consider a measure of cooperativity based on the minimal interaction required to generate an observed titration behavior. We describe the corresponding algebraic optimization problem and show how it can be solved using the nonlinear algebra tool SCIP. Moreover, we compute the minimal interactions and minimal molecules for several binding polynomials that describe the oxygen binding of various hemoglobins under different conditions. We compare their minimal interaction with the maximal slope of the Hill plot, and discuss similarities and discrepancies with a view towards the shapes of the binding curves.
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hal-02925505 , version 1 (29-08-2020)



Nidhi Kaihnsa, Yue Ren, Mohab Safey El Din, Johannes W R Martini. Cooperativity, absolute interaction, and algebraic optimization. Journal of Mathematical Biology, In press, ⟨10.1007/s00285-020-01540-8⟩. ⟨hal-02925505⟩
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