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