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