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Article
The Driving Mechanism for Unidirectional Blood Flow in the Tubular Embryonic Heart
The embryonic heart of vertebrate embryos, including humans, has a tubular thick-wall structure when it first starts to beat. The tubular embryonic heart (TEH) does not have valves, and yet, it produces an eff...
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Article
Fully coupled fluid–structure interaction model of congenital bicuspid aortic valves: effect of asymmetry on hemodynamics
A bicuspid aortic valve (BAV) is a congenital cardiac disorder where the valve consists of only two cusps instead of three, as in a normal tricuspid valve (TAV). Although 97 % of BAVs include asymmetric cusps,...
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Chapter
In Praise of the Gram Matrix
We use the Gram matrix to prove that the largest number of points in R d such that the distance between all pairs is an odd integer (the square root of an odd integer...
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Article
A fluid–structure interaction model of the aortic valve with coaptation and compliant aortic root
While aortic valve root compliance and leaflet coaptation have significant influence on valve closure, their implications have not yet been fully evaluated. The present study developed a full fluid–structure i...
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Article
Equipartite polytopes
A polytope P with 2n vertices is called equipartite if for any partition of its vertex set into two equal-size sets V 1 and V 2, there is an isometry of the polytop...
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Article
Open AccessAn experimental and numerical study of the flow and mass transfer in a model of the wearable artificial kidney dialyzer
Published studies of the past decades have established that mass transfer across the dialyzer membrane is governed by diffusion, convection and osmosis. While the former is independent of the pressure in the l...
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Article
Numerical Simulation of the Airflow Across Trees in a Windbreak
The flow across a three-dimensional (3-D) windbreak comprising individual cypress trees is studied to establish the significance and extent of the 3-D flow patterns. The cypress tree is modelled as a solid cyl...
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Article
The Odd-Distance Plane Graph
The vertices of the odd-distance graph are the points of the plane ℝ2. Two points are connected by an edge if their Euclidean distance is an odd integer. We prove that the chromatic number of this graph is at lea...
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Article
Equipartite graphs
A graph G of even order is weakly equipartite if for any partition of its vertex set into subsets V 1 and V 2 of equal size the induced subgraphs G[V ...
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Article
The Hemodynamics of the Berlin Pulsatile VAD and the Role of its MHV Configuration
The 3D flow in a model of the Berlin ventricular assist device (VAD) chamber with monoleaflet valves placed in S-shape conduits was simulated numerically. The blood flow dynamics were described in terms of flo...
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Article
Contactless Bio-Impedance Monitoring Technique for Brain Cryosurgery in a 3D Head Model1
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Article
The Air-Conditioning Capacity of the Human Nose
The nose is the front line defender of the respiratory system. Unsteady simulations in three-dimensional models have been developed to study transport patterns in the human nose and its overall air-conditionin...
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Article
The Prism Over the Middle-levels Graph is Hamiltonian
Let B k be the bipartite graph defined by the subsets of {1,…,2k + 1} of size k and k + 1. We prove that the prism over B ...
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Article
A Three-Dimensional Numerical Fluid Dynamic Model of Antigen–Antibody Surface Adsorption on Piezoelectric Immunosensors
A piezoelectric crystal is a unit that changes its frequency in parallel with a change in its mass. This characteristic is exploited in designing flow cell-based immunosensors for detecting the concentration o...
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Article
Induced Current Impedance Technique for Monitoring Brain Cryosurgery in a Two-Dimensional Model of the Head
A fast and robust finite volume solver of the two-dimensional induced current electrical impedance forward problem was developed. The numerical solver was validated by comparison with an existing analytical so...
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Article
On the Effect of Pipe Boundary Layer Growth on the Formation of a Laminar Vortex Ring Generated by a Piston/Cylinder Arrangement
The growth of a boundary layer at the nozzle wall during laminar vortex ring formation by a nozzle flow generator (piston/cylinder arrangement) is analysed theoretically and numerically and used for modelling ...
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Article
A Computational Fluid Dynamic Model of Antigen–Antibody Surface Adsorption on a Piezoelectric Immunosensor
A novel computational fluid dynamic model describing the antigen–antibody binding on an electrode surface is presented. It was assumed that the adsorption rate of the antibody sample is dependent upon the flow...
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Chapter and Conference Paper
The Evolution of Hairpin Vortices in Shear Flows
The evolution of artificially generated localized disturbances having the shape of hairpins, in laminar axisymmetric rotating shear flows, is experimentally [1] and numerically investigated. The results are co...
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Chapter
In Praise of the Gram Matrix
We use the Gram matrix to prove that the largest number of points in R d such that the distance between all pairs is an odd integer (the square root of an odd i...
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Chapter and Conference Paper
The generalized alternating direction multi-zone implicit method