Supplemental Data File: Tropical Geometry and Biochemical Reaction Networks: A Mathematical Framework for Steady-State Topology

This supplemental material provides complete proofs, detailed computational algorithms, extendedexamples, and all numerical data referenced in the main manuscript. The document is organizedas follows:• Section 2: Complete proofs of all theorems• Section 3: Extended mathematical background• Section 4: Detailed computational algorithms with pseudocode• Section 5: Additional case studies• Section 6: Complete numerical data and reproducibility information• Section 7: Software implementation details