Titlebook: Quantitative Approaches to Microcirculation; Mathematical Models, Andreas Linninger,Kent-Andre Mardal,Paolo Zunino Book 2024 The Editor(s)

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Mathematical Models of the Cerebral Microcirculation in Health and Pathophysiology,ange of time scales. It plays a critical role in the delivery of nutrients to tissue and the removal of metabolic waste products. Impairments to the cerebral microcirculation are implicated in many cerebrovascular and neurodegenerative diseases. Despite this, until around 15 years ago, little quanti

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Finite Element Software and Performance for Network Models with Multipliers,equirement on the flux and the 1D-0D coupling that emerges if Lagrange multipliers are introduced to impose bifurcation conditions. Although the finite element method is a natural approach to solving these problems, the implementation of mixed-domain finite element routines is generally non-trivial.

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A Fast-Fourier Preconditioned Schur Complement Method for the Simulation of Cerebrocortical Oxygen mulation of cortical oxygen supplied by an anatomically realistic microvascular network, we separate computational domains into a 1D graph representing the microvasculature and a rectangular array of 3D tissue voxels. Blood flow induces an orientation for which the vascular network is a directed acy

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Numerical Approaches for Multiphase Microfluids,ens are reviewed and critically analyzed. Specifically, . approach for fluid/fluid interaction problems is considered, as well as the . for fluid/structure interaction problems with a special accent on bio-inspired systems. On one hand, the one-fluid approach for computing multi species mixtures is

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Application of the Zenger Correction to an Elliptic PDE with Dirac Source Term,ential equation (PDE) is closely related to a mathematical model for flow processes in vascularized tissue. In order to circumvent the numerical difficulties associated with a Dirac source term a regularization technique is used, which is known as Zenger correction. Using the Zenger correction, it c