Coarse-graining discrete cell-mechanics models yields dimension-dependent nonlinear diffusivity D(ρ)∝ρ^γ with γ=(β-2)/d, where β is set by the microscopic force law and d is spatial dimension.
Kouachi, Eigenvalues and eigenvectors of tridiagonal matrices, Electronic Journal of Linear 15 Algebra15, 115 (2006)
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Dimension-dependent continuum limits in tissue mechanics
Coarse-graining discrete cell-mechanics models yields dimension-dependent nonlinear diffusivity D(ρ)∝ρ^γ with γ=(β-2)/d, where β is set by the microscopic force law and d is spatial dimension.