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math.AP2017★ 6 cited
Quasi-steady state reduction for the Michaelis-Menten reaction-diffusion system
Martin Frank, Christian Lax, Sebastian Walcher +1
The Michaelis-Menten mechanism is probably the best known model for an enzyme-catalyzed reaction. For spatially homogeneous concentrations, QSS reductions are well known, but this…
math.AP2008★ 5 cited
Smooth Homogenization of Heat Equations on Tubular Neighborhoods
O. Wittich
We consider the heat equation with Dirichlet boundary conditions on the tubular neighborhood of a closed Riemannian submanifold. We show that, as the tube diameter tends to zero, a…
math.AP2008
L2-Homogenization of Heat Equations on Tubular Neighborhoods
O. Wittich
We consider the heat equation with Dirichlet boundary conditions on the tubular neighborhood of a closed Riemannian submanifold. We show that, as the tube radius decreases, the sem…