Jean-Marie Crolet

Jean-Marie Crolet
University of Franche-Comté | UFC · Institut Supérieur d'Ingénieurs de Franche-Comté – ISIFC

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59
Publications
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586
Citations

Publications

Publications (59)
Article
The bone tissue is in permanent remodeling. It adapts to the biomechanical requests by building bone tissue in the zones with strong loadings and by destroying it in the zones with weak loadings. Thanks to these regenerative properties, when a bone is fractured, the realignment and the maintenance of the member are generally enough to generate new...
Article
This paper is a contribution to a plausible explanation of the mechanotransduction phenomenon in cortical bone during its remodelling. Our contribution deals only with the mechanical processes and the biological aspects have not been taken into account. It is well known that osteoblasts are able to generate bone in a suitable bony substitute only u...
Article
Literature devoted to experimental measurements of the elastic properties of the human cortical bone gives us a relatively wide spectrum of values. This proves that the result depends on the bone itself and on the area from where the sample has been taken. Ultrasonic measurement, which is a fine technology, points out complex maps. The reason of th...
Article
Cortical bone is more and more considered as a porous medium and this induces the necessity of the determination of the physical properties associated with such a concept: the porosity and the permeability. If porosity does not present a major problem, at least for the order of magnitude, there is a difficulty for the permeability. According to exp...
Article
Cells live in a fluid environment located in a biological tissue, and the knowledge of the behavior of this fluid needs knowledge of the tissue itself. In the present study, the biological tissue is the cortical bone, which has a very complex architecture. In previous studies, a modelization of this bony structure has been made: the SiNuPrOs model...
Article
We present here a mathematical model of the human cortical bone which allows studying the mechanical behavior of this heterogeneous and complex structure knowing the properties of its basics components (collagen, hydroxyapatite (Hap) and bony fluid) and its architectural configuration. At long term it could be helpful to understand the bone remodel...
Chapter
Our last studies proposed a model of cortical bone [1], [2] with five architectural levels macroscopic, osteonal, lamellar, fibrous and fibrillar. In order to take into account the complex process of mineralisation, a new entity has been introduced, the EVMC (Elementary Volume of Mineral Content), which is made by hydroxyapatite cristals and fluid...
Article
Several modelizations have been investigated on human cortical bone in our team and we have often observed that the introduction of a new geometrical parameter induces significant perturbations on the numerical values obtained with previous models. We have therefore decided to take into account the totality of all possible parameters in a modelizat...
Article
Biomedical engineer is an international job for several reasons and it means that the knowledge of at least one foreign language is a necessity. A geographical and structural analysis of the biomedical sector concludes to the teaching of a second foreign language. But in spite of the presence of adequate means, it is not possible for us for the mom...
Article
The new mathematical model is proposed to describe the gravity-elastic deformations of the interface between two fluids in weakly deformable porous media. Instead of a cumbersome system of flow equations linked by the kinetics and dynamics conditions at the interface, the new model represents a system of PDE written explicitly with respect to the v...
Article
It is well known that long term behavior of implants depends on bone remodeling. In the absence of a model of this phenomenon, few numerical simulations take into account bone remodeling. Some laws have been proposed but they cannot be used in the essential area surrounding the implant. We propose a multi-scale approach: cortical bone is structured...
Article
Phosphogypsum is a by-product of the phosphate fertilizer industry, which is stockpiled in large quantities worldwide. It consists mainly of dihydrate gypsum but contains elevated concentrations of 226Ra and other inorganic species, which originate from the processing of phosphate rocks. 222Rn is the first decay product of 226Ra and 222Rn gas evolu...
Article
This research presents a new modelling procedure which allows the computation of the physical properties of the human cortical bone, considered as a strongly heterogeneous medium consisting of bony architecture and the physical properties of the two basic components: the collagen and the hydroxyapatite (Hap). The numerical simulations are based on...
Article
Full-text available
Radon transport in porous materials is strongly influenced by the presence of water. It is also necessary to be able to numerically control the effects of this parameter. The radon concentration and radon exhalation rate have been determined by simulation in various building materials containing an increasing water content. It has been proved that...
Article
Full-text available
This article proposes a generalized model for describing deformations of the mobile interface separating two immiscible weakly compressible fluids in a weakly deformable porous medium. It describes a gravity non-equilibrium processes, including evolution of the gravitational instability and can be reduced in two cases. This paper deals with the fir...
Article
This paper deals with a nonlinear inverse problem to determine the Neumann condition on the boundary ΓL⊂∂Ω, from measurements in the domain Ω. This condition is characterised by the width of ΓL and by the constant value of the flux on this boundary. The direct problem is the Laplacian problem corresponding to flow modelling in a confined aquifer an...
Article
Full-text available
A generalized model has been recently proposed in [3] to describe deformations of the mobile interface separating two immiscible and compressible fluids in a deformable porous medium. This paper deals with a few applications of this model in realistic situations where it can be supposed that gravity perturbations are propagating much slower than el...
Article
Many studies have been pursued in order to get tools for earthquakes prevention: among all the physical phenomena, emission of radon gas is now considered as one of the possible precursors of seisms. In this framework, the main question is the following one: from measurements of radon concentration made in a subsurface aquifer, how the processes (l...
Article
Radon transfer between a liquid phase and a gaseous phase is modelled by a Robin's condition (radon flux at the common interface is expressed as function of radon concentrations in the two phases). This condition involves two constants: Ostwald's coefficient (α) and the transfer velocity coefficient (β). Assuming the value of α is known, a method i...
Article
A new generalized model is proposed to describe deformations of the mobile interface separating two immiscible weakly compressible fluids in a weakly deformable porous medium. It describes gravity non-equilibrium processes, including evolution of the gravitational instability, and represents a system of parabolic or anti-parabolic equations.
Conference Paper
In this study we give a mathematical formulation of the phenomenon of groundwater pollution, wich is due to a non—Darcy flow in an unsaturated zone and in the presence of solute transport and of heat transfer. The obtainde model is a system of coupled partial nonlinear equations of evolution type. The principal aim of this investigation is to treat...
Chapter
Full-text available
The aim of this paper, dealing with the management of fresh water, is to present an optimal control approach for the steady flow in a rectangular aquifer there are two wells. The classical problem is a free boundary problem. After a change of variable transformation, we obtain an optimal control problem in a fixed domain, where the control appears...
Chapter
The present paper describes a numerical model, which allows to compute solute transport and biodegradation in a saturated porous media. Mathematical formulation of such processes leads to a set of non- linear partial differential equations coupled to ordinary differential equations. The transport equation is approximated by a finite volume scheme w...
Article
This paper presents a contribution to the numerical simulation of the left ventricle taking into account simultaneously the fluid flow inside the cavity and the motion of the cardiac wall. One describes mathematical tools which are useful for such a problem of fluid-structure interaction. After having written the continuous mathematical problem and...
Book
Porous media, and especially phenomena of transport in such materials, are an impor1ant field of interest for geologists, hydrogeologists, researchers in soil and fluid mechanics, petroleum and chemical engineers, physicists and scientists in many other disciplines. The development of better numerical simulation techniques in combination with the e...
Article
In a previous paper (Crolet et al., 1993, J. Biomechanics 26, 677-687), a modelling of the mechanical behavior of compact bone was presented, in which the homogenization theory was the basic tool of computation. In this simulation, approximations were used for the modelling of the lamellae and the osteons: the lamella and the osteon were divided in...
Article
One of the lastest development for sal-twater intrusion into freshwater was the model SUTRÀ. Below, a three dimensional model using the finite element method is presented. Salt water intrusion into coastal aguifer can be simulated in a confined or unconfined aquifer, with a formulation different for taking into account recharge, flux, purnping . ....
Article
One of the main difficulties encountered in the numerical simulation of the anisotropic elastic characteristics of compact bone is to account for the Haversian microstructure when determining the overall macroscopic behavior. Engineering analyses of such problems are usually based on 'homogenized approximations'. Compact bone is not exactly a compo...
Article
Among the parameters involved in a joint prosthesis failure, stress-related bone remodelling has to be taken into account. Amplitude of the mechanical stress pattern of cortical bone is dependent upon the implant stiffness. Through an animal experiment, this paper evaluates the cortical bone response to four types of metallic, intramedullary fully...
Article
Bone is a living medium which is regularly destroyed and reconstruct according various physical, chemical and biological phenomena strongly depending on mechanical behavior through several complex coupling process. We present a new model allowing the computation of the physical properties of the human cortical bone considered as strongly heterogene...

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