A closed form solution of convective mass transfer model for intracellular calcium response of endothelial cells.
A model incorporating some of the mechanical and biochemical factors underlying clot formation and dissolution in flowing blood.
A modified van der Pol equation with delay in a description of the heart action
In this paper, a modified van der Pol equation is considered as a description of the heart action. This model has a number of interesting properties allowing reconstruction of phenomena observed in physiological experiments as well as in Holter electrocardiographic recordings. Our aim is to study periodic solutions of the modified van der Pol equation and take into consideration the influence of feedback and delay which occur in the normal heart action mode as well as in pathological modes. Usage...
A numerical investigation of heat transfer cardiac output measurements.
A study of the stationary reactive flow of a fluid cofined in -dimensional domains with holes using fixed point theory.
An anisotropic constitutive equation for the stress tensor of blood based on mixture theory.
Asymptotic analysis of blood flow in stented arteries: time dependency and direct simulations***
This work aims to extend in two distinct directions results recently obtained in [10]. In a first step we focus on the possible extension of our results to the time dependent case. Whereas in the second part some preliminary numerical simulations aim to give orders of magnitudes in terms of numerical costs of direct 3D simulations. We consider, in the first part, the time dependent rough problem for a simplified heat equation in a straight channel that mimics the axial...
Blind deconvolution of the aortic pressure waveform using the Malliavin calculus.
Boundary-layer type solutions for initial platelet activation and deposition.
Development of a species-specific model of cerebral hemodynamics.
Diffusion models of multicomponent mixtures in the lung*
In this work, we are interested in two different diffusion models for multicomponent mixtures. We numerically recover experimental results underlining the inadequacy of the usual Fick diffusion model, and the importance of using the Maxwell-Stefan model in various situations. This model nonlinearly couples the mole fractions and the fluxes of each component of the mixture. We then consider a subregion of the lower part of the lung, in which we compare...
Dynamics of Biomembranes: Effect of the Bulk Fluid
We derive a biomembrane model consisting of a fluid enclosed by a lipid membrane. The membrane is characterized by its Canham-Helfrich energy (Willmore energy with area constraint) and acts as a boundary force on the Navier-Stokes system modeling an incompressible fluid. We give a concise description of the model and of the associated numerical scheme. We provide numerical simulations with emphasis on the comparisons between different types of flow:...
Effects of Poiseuille flow on peristaltic transport.
Exact solution of convective mass transfer model for calcium response of endothelium.
Finite difference methods for coupled flow interaction transport models.
Flow in an elastic tube subject to prescribed forcing: A model of umbilical venous flow.
Fluid-retention side-effects of the chemotherapy-supportive treatment interleukin-11: mathematical modelling of putative underlying mechanisms.
Geometric dynamics of calcium oscillations ODEs systems.
Hematologic Disorders and Bone Marrow–Peripheral Blood Dynamics
Hematologic disorders such as the myelodysplastic syndromes (MDS) are discussed. The lingering controversies related to various diseases are highlighted. A simple biomathematical model of bone marrow - peripheral blood dynamics in the normal state is proposed and used to investigate cell behavior in normal hematopoiesis from a mathematical viewpoint. Analysis of the steady state and properties of the model are used to make postulations about the...
Mathematical and computer modelling of mechanisms regulating blood flow at microcirculation level [Abstract of thesis]