Engineering professional with a background in applied mathematics and fluid mechanics.
The stumbling block in branched polymer rheology was the exponential complexity of relaxation paths. The engine’s factorisation property derives from a structural result in the theory of operadic morphisms applied to decorated tree algebras. The computational complexity reduction — from exponential to linear in the number of architectural segments — is a consequence of this algebraic structure, not an approximation.
A formal treatment is in preparation.
This research led to the development of Melt Alice — a physics-based simulation platform that reconstructs the complete molecular architecture of branched polyolefins (long-chain branching density, arm molecular weight distribution, generation profile and polydispersity) directly from standard oscillatory rheology curves (G′(ω), G″(ω)) in just a few seconds.
Melt Alice solves the long-standing inverse problem orders of magnitude faster than traditional tools such as BoB, without requiring prior knowledge of the molecular topology.