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