Multiscale modeling Diffusion limit Biot system Navier-Stokes system Finite elements Coulomb friction Age-structured PDE Cell dynamics Apparent diffusion coefficient Diffusion encoding gradient Elastodynamics Flow convexity Amplitude equation Cross diffusion Asymptotic expansion Product integration method Agent-based models Prions Euler characteristic HWI inequality Homogenization Bloch-Torrey equation Kinetic formulation Dynamical core Cardiac diffusion imaging Diffusion magnetic resonance imaging Mass redistribution method Compressible flows Finite volume scheme Cauchy problem Energy dissipation Cancer Dynamics Stochastic partial differential equations Asymptotic convergence Viscoelasticity Navier-Stokes equations Traveling waves Asymptotic analysis Contact problem Fixed-stress iterative coupling Bergman kernel Stability Harmonic limit Hematopoiesis Nitsche's method Convergence Hematopoietic stem cells Delay differential-difference system Linear elasticity Entropy Variational inequality Fredholm integral equation Chronotherapy Cell population dynamics Solvability conditions Spectral stability Prion Plasma physics Dispersion relationship Traveling wave Shallow water equations Differential equations Blood coagulation Partial differential equations Circadian clock Stokes equations Hamiltonian dynamics Abbreviated action integral Transport equations Finite volumes History-dependent boundary condition Immune response Tresca’s friction law Contact Hele-Shaw Finite element Finite element method Cell cycle Entropy method Unilateral contact Fracture propagation 92C37 Hopf bifurcation Geophysical fluid dynamics Blow-up Energy conservation Alzheimer Mixed finite elements Elasticity Cellular differentiation Data completion Delay differential equations Existence of pulses Numerical simulations Error bounds Kinetic equation Clot growth Anti-diffusive method Kinetic equations