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