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