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math.DS2024
Global Dynamics of Ordinary Differential Equations: Wall Labelings, Conley Complexes, and Ramp Systems
Marcio Gameiro, Tomáš Gedeon, Hiroshi Kokubu +5
We introduce a combinatorial topological framework for characterizing the global dynamics of ordinary differential equations (ODEs). The approach is motivated by the study of gene…
math.DS2023
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets
Julian Fox, Breschine Cummins, Robert C. Moseley +2
The regulatory mechanisms driving progression of the yeast cell cycle appears to be comprised of an interacting network of transcription factors (TFs), cyclin-dependent kinases (CD…