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