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