Hæmodynamical simulations using one‐dimensional (1D) computational models exhibit
many of the features of the systemic circulation under normal and diseased conditions …

This review is devoted to recent developments in blood flow modelling. It begins with the
discussion of blood rheology and its non-Newtonian properties. After that we will present …

This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …

We present a global, closed‐loop, multiscale mathematical model for the human circulation
including the arterial system, the venous system, the heart, the pulmonary circulation and the …

In this paper a new, simple and universal formulation of the HLLEM Riemann solver (RS) is
proposed that works for general conservative and non-conservative systems of hyperbolic …

In some previous works, the authors have introduced a strategy to develop well-balanced
high-order numerical methods for nonconservative hyperbolic systems in the framework of …

In this paper we propose a simple, robust and accurate nonlinear a posteriori stabilization of
the Discontinuous Galerkin (DG) finite element method for the solution of nonlinear …

In this chapter we describe a general methodology for developing high-order well-balanced
schemes for hyperbolic system with nonconservative products and/or source terms. We …

We present a well‐balanced, high‐order non‐linear numerical scheme for solving a
hyperbolic system that models one‐dimensional flow in blood vessels with variable …

Abstract Behind Medicine (M) is Physiology (P), behind Physiology is Physics (P) and
behind Physics is always Mathematics (M), for which I expect that the symmetry of the …