A. Jeremic, and A. Atalla
McMaster University, Hamilton, ON, Canada
In this paper, we develop a mathematical model to simulate the movement of bacteria into and within a capillary segment. Also, we model the transportation through capillary walls by means of anisotropic diffusivity that depends on the pressure difference across the capillary walls. By solving the model using COMSOL, it was possible to predict the concentration of bacteria at points within the ...
Computationally Assisted Design and Experimental Validation of a Novel ‘Flow-Focussed’ Microfluidics Chip for Generating Monodisperse Microbubbles
M. Conneely, V. Hegde, H. Rolfsnes, A. Mason, D. McLean, C. Main, F.J.D. Smith, W.H.I. McLean, P.A. Campbell
Carnegie Physics Laboratory, University of Dundee, Dundee, Scotland, United Kingdom
Division of Molecular Medicine, University of Dundee, Dundee, Scotland, United Kingdom
Whilst initially developed as a diagnostic aid to improve echogenicity in ultrasound imaging, gas-filled lipid microbubbles are now emerging as a next generation \'theranostic\' tool in the medical arena. Here, their therapeutic potential has now been realized through their unique capability to deliver molecular species such as drugs and genes by means of disrupting the cell membrane in response ...
T.C. Zhu, B. Liu, X. Liang
University of Pennsylvania, Philadelphia, PA, USA
Singlet oxygen (1O2) is the major cytotoxic agent during photodynamic therapy (PDT). A previously developed model that incorporates the diffusion equation for the light transport in tissue and the macroscopic kinetic equations for the generation of the singlet oxygen, can be used to numerically calculate the distance-dependent reacted 1O2 using finite-element method (FEM). The formula of reacted ...
D. Krapohl, S. Loeffler, A. Moser, and U.G.Hofmann
Institute for Signalprocessing, University of Luebeck, Lübeck, Germany
Institute for Neurology, University of Luebeck, Lübeck, Germany
Department of Information Technology and Media, Mid Sweden University, Sundsvall, Sweden
Deep Brain Stimulation (DBS) has been established as an effective treatment for Parkinson's disease and other movement disorders. The stimulation is currently administered using tetrode-macroelectrodes that target the Subthalamic Nucleus (STN). This often leads to side effects which bias the surrounding areas, e.g. the speech centre. Targeting a specific brain region can better be achieved with ...
K. Shahim, J-M. Drezet, J-F. Molinari, S. Momjian, and R. Sinkus
LSMX, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
LSMS, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
University Hospitals of Geneva and University of Geneva, Switzerland
Waves and Acoustics Laboratory, ESPCI, Paris, France
A numerical finite element model of one human brain is built in COMSOL in order to study a particular form of hydrocephalus, the so called Normal Pressure Hydrocephalus (NPH). The geometry of the ventricles and the skull is obtained by Magnetic Resonance Imaging (MRI) and imported in COMSOL Multiphysics. Form the mechanical point of view, the brain parenchyma is modeled as a porous medium fully ...
T. Merrill, A. La Barck, and J. Docimo
Rowan University, Glassboro, New Jersey, USA
FocalCool, LLC, Mullica Hill, New Jersey, USA
Reperfusion injury is caused by the rapid restoration of blood flow to oxygen-starved tissue. Animal studies show that intermittent periods of occlusion (also called post-conditioning) during reperfusion can limit tissue damage to vital organs such as the heart and brain. These studies suggest that the protective effects of post-conditioning relate to the dynamics of blood flow. COMSOL is being ...
Estimating Cerebral Blood Flow using Electro-mechanical Modeling and Impedance Tomography Measurements
A. Jeremic, and T. Gadkari
McMaster University, Hamilton, ON, Canada
In this paper we propose a coupled electromechanical finite element model which combines the Navier-Stokes Equations of blood flow in an immersed boundary and the resulting deformed geometry with an electromagnetic model, which describes the electric field in the presence of deformation/structure changes caused by the blood flow in arteries.We derive least-squares estimates of the pressure drop ...
O. Richter, F. Suhling, and S. Moenickes
Technische Universität Braunschweig, Germany
The spatial dynamics of the invasion of new species and genetic dispersal is studied under the presumption of rising temperature by using a coherent approach of coupled partial differential equations of the reaction diffusion type. The nonlinear reaction terms model the population dynamics, genetic exchange and competition. Temperature reaction norms of reproduction rates are conferred by a two ...
Q.A. Chaudhry, M. Hanke, and R. Morgenstern
School of Computer Science and Communication, Royal Institute of Technology, Stockholm, Sweden
Karolinska Institutet, Stockholm, Sweden
The mathematical modeling of the diffusion and reaction of toxic compounds in mammalian cells is tough task due to their very complex geometry. The heterogeneity of the cell, particularly the cytoplasm, and the variation of the cellular architecture, greatly affects the behavior of these toxic compounds. Homogenization techniques have been implemented for the numerical treatment of the model. ...
A. Chanda, A.R. Choudhury, G. Ray, K. Dasgupta, and D. Nag
Jadavpur University, Kolkata, West Bengal, India
Atherosclerosis in arteries is caused by the formation of stenosis : fatty depositions, on the artery wall. In current medicine, the practice is to observe the maximum percentage occlusion at any arbitrary cross-section and diagnose the patient on that basis, which might not always present the real picture due to non-uniformity of the stenosis thickness. The present work attempts to simulate the ...