MathDB3 problems
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Conjecture that the multiple futile cycle has maximally many positive steady states
Sharpness conjecture. The upper bound can be attained for suitable parameter values.
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Isolated tropical equilibration conjecture for the tropical variety
Let a biochemical reaction network be augmented with differential equations for conservation laws of its fast truncated subsystem, and solve the tropical equilibration problem for…
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Extension of isolated tropical equilibrations to Newton–Puiseux series
Consider a polynomial system depending on a small parameter, and let a tropical equilibration be a valuation vector satisfying the associated tropical balance conditions. A tropica…