A coupled SPH-DEM approach to model the interactions between multiple red blood cells in motion in capillaries

Red blood cells (RBCs) are the most common type of blood cells in the blood and 99% of the blood cells are RBCs. During the circulation of blood in the cardiovascular network, RBCs squeeze through the tiny blood vessels (capillaries). They exhibit various types of motions and deformed shapes, when flowing through these capillaries with diameters varying between 5 10 µm. RBCs occupy about 45 % of the whole blood volume and the interaction between the RBCs directly influences on the motion and the deformation of the RBCs. However, most of the previous numerical studies have explored the motion and deformation of a single RBC when the interaction between RBCs has been neglected. In this study, motion and deformation of two 2D (two-dimensional) RBCs in capillaries are comprehensively explored using a coupled smoothed particle hydrodynamics (SPH) and discrete element method (DEM) model. In order to clearly model the interactions between RBCs, only two RBCs are considered in this study even though blood with RBCs is continuously flowing through the blood vessels. A spring network based on the DEM is employed to model the viscoelastic membrane of the RBC while the inside and outside fluid of RBC is modelled by SPH. The effect of the initial distance between two RBCs, membrane bending stiffness (Kb) of one RBC and undeformed diameter of one RBC on the motion and deformation of both RBCs in a uniform capillary is studied. Finally, the deformation behavior of two RBCs in a stenosed capillary is also examined. Simulation results reveal that the interaction between RBCs has significant influence on their motion and deformation.

Adolpf Molling, Janet Krakauer nee McColl, Hymie Joachim and Thomas Krakauer (l-r); Weggis, Switzerland Portraits Groups

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A couple stress model of blood flow in the microcirculation

A simple mathematical model depicting blood flow in the capillary is developed with an emphasis on the permeability property of the blood vessel based on Starling's hypothesis. In this study the effect of inertia has been neglected in comparison with the viscosity on the basis of the smallness of the Reynolds number of the flow in the capillary. The capillary blood vessel is approximated by a circular cylindrical tube with a permeable wall. The blood is represented by a couple stress fluid. With such an ideal model the velocity and pressure fields are determined. It is shown that an increase in the couple stress parameter increases the resistance to the flow and thereby decreases the volume rate flow. A comparison of the results with those of the Newtonian case has also been made.

Unidentified girls class seated at desks in classroom Institutions; Educational; Schools; Portraits; Groups

"Chanukah" written on blackboard at rear left of classroom

Unidentified girls class Institutions; Educational; Schools; Portraits; Groups

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Arno Nadel (2nd from right) with undentified men listening to new recordings; Berlin Portraits; Groups; Men

Verso: "Listening to new recordings. Berlin 1932"

Numerical modelling of deformation behaviour of red blood cells in microvessels using the coupled SPH-DEM method

This thesis developed an advanced computational model to investigate the motion and deformation properties of red blood cells in capillaries. The novel model is based on the meshfree particle methods and is capable of modelling the large deformation of red blood cells moving through blood vessels. The developed model was employed to simulate the deformation behaviour of healthy and malaria infected red blood cells as well as the motion of red blood cells in stenosed capillaries.

Basel Zionist Congress attendees Portraits; Groups

John D. Hope's grandfather's grandmother attended this conference

Genome-wide association study identifies novel genetic variants contributing to variation in blood metabolite levels

Metabolites are small molecules involved in cellular metabolism, which can be detected in biological samples using metabolomic techniques. Here we present the results of genome-wide association and meta-analyses for variation in the blood serum levels of 129 metabolites as measured by the Biocrates metabolomic platform. In a discovery sample of 7,478 individuals of European descent, we find 4,068 genome- and metabolome-wide significant (Z-test, P<1.09 × 10−9) associations between single-nucleotide polymorphisms (SNPs) and metabolites, involving 59 independent SNPs and 85 metabolites. Five of the fifty-nine independent SNPs are new for serum metabolite levels, and were followed-up for replication in an independent sample (N=1,182). The novel SNPs are located in or near genes encoding metabolite transporter proteins or enzymes (SLC22A16, ARG1, AGPS and ACSL1) that have demonstrated biomedical or pharmaceutical importance. The further characterization of genetic influences on metabolic phenotypes is important for progress in biological and medical research.

Guests at Sophie Oppenheimer's 70th birthday celebration Portraits Groups

Handwritten on verso: (top l-r) Heinz Marcus, Hilde Marcus, Heinz Ascher, Else Stern, Gerhard Ascher, Hattie Wallerstein, Kurt Stern, Paula Stern, Lula Ascher and Hilde Marcus; (second row l-r) Otto Oppenheimer, Heinrich Ascher, Julius Stern, David Wallerstein, Max Marcus, Alex Goldschmidt and Ernst Oppenheimer; (third row l-r) Rose, Hans Oppenheimer, Gertrud Ascher, Oma Oppenheimer, Emma, Martha, Lene, Lucy, Hans, Lore; (front row l-r) Margot Ascher, Heinz Ascher, Golda Ascher, Edith Goldschmidt, Irma Ascher, Lotti Goldschmidt, Gretl Oppenheimer and Ilse Oppenheimer

Outdoor group portrait of Marga Abel, Franzche Wolf, Miss Mahler, Margot Frank and Else Hirschfeld; Bad Kissingen Portraits Groups Women

Handwritten caption: Wir tragen nur Bemberg-Seidenstruempfe! (We wear only Bemberg silk stockings!)

Gathering in the home of Dr. Alfred Stern and his wife Lotte nee Wallerstein; Paula Wallerstein nee Molling; Rheydt, Germany. Portraits Groups

Dr. Alfred Stern probably standing far left; Paula Wallerstein nee Molling seated in center

Leo Baeck with unidentified soldiers Military; World War I; Portraits Groups

Center May 2000

Albert and Elsa Einstein on the beach with Walter Adams; Santa Barbara, California Portraits; Groups

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