22 citations · 202 across the 36 of their papers we have counts for
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Physarum Inspired Dynamics to Solve Semi-Definite Programs
Yuan Gao, Hamidreza Kamkari, Andreas Karrenbauer +2
Physarum Polycephalum is a slime mold that can solve shortest path problems. A mathematical model based on Physarum's behavior, known as the Physarum Directed Dynamics, can solve p…
Revisit of macroscopic dynamics for some non-equilibrium chemical reactions from a Hamiltonian viewpoint
Yuan Gao, Jian-Guo Liu
Most biochemical reactions in living cells are open systems interacting with environment through chemostats to exchange both energy and materials. At a mesoscopic scale, the number…
Random walk approximation for irreversible drift-diffusion process on manifold: ergodicity, unconditional stability and convergence
Yuan Gao, Jian-Guo Liu
Irreversible drift-diffusion processes are very common in biochemical reactions. They have a non-equilibrium stationary state (invariant measure) which does not satisfy detailed ba…
Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: derivations and computations
Yuan Gao, Jian-Guo Liu
We study spreading of a droplet, with insoluble surfactant covering its capillary surface, on a textured substrate. In this process, the surfactant-dependent surface tension domina…