10 citations · 27 across the 12 of their papers we have counts for
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math.CT2023
Structures on Categories of Polynomials
Brandon T. Shapiro, David I. Spivak
We define the monoidal category of polynomials under composition in any category with finite limits, including both cartesian and vertical morphisms…
math.CT2023
All Concepts are
Owen Lynch, Brandon T. Shapiro, David I. Spivak
We show that the double category of comonoids in the category of polynomial functors (previously shown by Ahman-Uustalu and Garner to be equivalent to th…
q-bio.MN2023★ 5 cited
A compositional account of motifs, mechanisms, and dynamics in biochemical regulatory networks
Rebekah Aduddell, James Fairbanks, Amit Kumar +3
Regulatory networks depict promoting or inhibiting interactions between molecules in a biochemical system. We introduce a category-theoretic formalism for regulatory networks, usin…