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

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