Jacques Demongeot | Joseph Fourier University (original) (raw)
Papers by Jacques Demongeot
Lecture Notes in Computer Science, 1990
Our purpose is to bring together some elements of our recent theoretical approach of neural model... more Our purpose is to bring together some elements of our recent theoretical approach of neural modeling in comparison with the new multi-neuronal data available since neurophysiological optical recording got improved. In a first part we shall briefly explain the consequence of a ...
NATO ASI Series, 1991
We give in this paper the definition of a formal network and after, some information about the us... more We give in this paper the definition of a formal network and after, some information about the use of its asymptotic properties for segmenting 3D images reconstructed from parallel cross sections (such as those from Computed Tomography or Magnetic Resonance Imaging). ...
Revue d'Épidémiologie et de Santé Publique, 2010
adultes des deux régions les plus populeuses au Québec. Elle porte sur les 2037 individus ayant d... more adultes des deux régions les plus populeuses au Québec. Elle porte sur les 2037 individus ayant déclaré avoir un médecin traitant et ayant consulté pour un besoin de santé dans les six derniers mois. Des analyses en composantes principales et des classifications hiérarchiques ont été réalisées pour construire des profils d'utilisateurs, avec les variables suivantes : caractéristiques sociodémographiques, nature du besoin de santé, perceptions qu'ont les individus des services offerts par leur médecin traitant, et lieu de consultation (urgences, cabinet de médecins).
![Research paper thumbnail of [Multi-compartmental modelling and experimental design for glucose transport studies in insulin-resistant rats]](https://attachments.academia-assets.com/43830325/thumbnails/1.jpg)
](Multi-compartmental modelling and experimental design for glucose transport study in insulinresis... more Multi-compartmental modelling and experimental design for glucose transport study in insulinresistant rat. Many pathologies are associated with abnormalities of glucose metabolism or with perturbations of its transport (type 2 diabetes or insulin-resistance). The pre-diabetic state is characterised by a state of insulin-resistance, in others words a defect of glucose transport in insulin-sensible tissues, such as muscles and adipose tissues. The mathematical modelling of experimental data can be an excellent method to explore the mechanisms implied in the studied biological phenomenon. Thus, starting from a symbolic formulation like the compartmental modelling, it can be possible to develop a theoretical basis for the observation and to consider the best-adapted experiments for the study. We showed with mathematical models that [ 123 I]-6-deoxy-6-iodo-D-glucose (6-DIG), shown as a tracer of glucose transport in vitro, could point out this transport abnormality. To quantify the insulin resistance, we estimated the fractional transfer coefficients of 6-DIG from the blood to the organs. We realised many studies to lead to a satisfying model; special attention has been paid to the precision of the parameter to select the best model. The results showed that by associating experimental data obtained with 6-DIG activities and an adapted mathematical model, discriminating parameters (in and out fractional transfer coefficients) between the two groups (control and insulin-resistant rats) could be pointed out.
International Journal of Bifurcation and Chaos, 2012
McKendrick can be revisited in order to consider the colocalizations favoring interaction between... more McKendrick can be revisited in order to consider the colocalizations favoring interaction between morphogens and cells or between pathogens and hosts. The classical epidemic models suppose, for example, that the populations in interaction have a constant size and are spatially fixed during the epidemic waves, but the presently observed pandemics show that the long duration of their spread during months or years imposes to take into account the pathogens, hosts and vectors migration in epidemics, as well as the morphogens and cells diffusion in morphogenesis. That leads naturally to study the occurrence of complex spatio-temporal behaviors in dynamics of population sizes and also to consider preferential zones of interaction, i.e. the zero-diffusion sets, for respectively building anatomic frontiers and confining contagion domains. Three examples of application will be presented, the first proposing a model of Black Death spread in Europe (1348-1350), and the last ones related to two morphogenetic processes, feather morphogenesis in chicken and gastrulation in Drosophila.
Contributions to Statistics, 2015
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009
We present here some theoretical and numerical results about interval iterations. We consider fir... more We present here some theoretical and numerical results about interval iterations. We consider first an application of the interval iterations theory to the problem of entrainment in respiratory physiology for which the classical point iterations theory fails. Then, after a brief review of some of the main aspects of point iterations, we explain what is meant by the term 'interval iterations'. It consists essentially in replacing in the point iterations the function to iterate by a set-valued map. We present both theoretical and numerical aspects of this new type of iterations and we observe the dynamical behaviours encountered, such as fixed intervals and interval limit cycles. The comparison between point and interval iterations is carried out with respect to a parameter ε, which determines the thickness of a neighbourhood around the function to iterate. We will finally focus our attention on the Verhulst and Ricker functions largely used in population dynamics, which exhibit various asymptotic behaviours.
Comptes Rendus Mathematique, 2012
ABSTRACT
Comptes Rendus Mathematique, 2012
This Note deals with the mathematical notions of entropy and stability rate in interaction graphs... more This Note deals with the mathematical notions of entropy and stability rate in interaction graphs of genetic networks, in the particular context of the genetic threshold Boolean random regulatory networks (getBrens). It is proved that in certain circumstances of particular connectance, the entropy of the invariant measure of the dynamical system can be considered both as a complexity and a stability index, by exploiting the link between these two notions, fundamental to characterize the resistance of a biological system against endogenous or exogenous perturbations, as in the case of the n-switches. Examples of biological networks are then given showing the practical interest of the mathematical notions of complexity and stability in the case of the control of the morphogenesis. © 2012 Académie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Acta Biotheoretica, 2014
The problem of stability in population dynamics concerns many domains of application in demograph... more The problem of stability in population dynamics concerns many domains of application in demography, biology, mechanics and mathematics. The problem is highly generic and independent of the population considered (human, animals, molecules,…). We give in this paper some examples of population dynamics concerning nucleic acids interacting through direct nucleic binding with small or cyclic RNAs acting on mRNAs or tRNAs as translation factors or through protein complexes expressed by genes and linked to DNA as transcription factors. The networks made of these interactions between nucleic acids (considered respectively as edges and nodes of their interaction graph) are complex, but exhibit simple emergent asymptotic behaviours, when time tends to infinity, called attractors. We show that the quantity called attractor entropy plays a crucial role in the study of the stability and robustness of such genetic networks.
Mathematical Population Studies, 2005
For a unimodal growth function f having its maximum at a critical state xc, the interval bounding... more For a unimodal growth function f having its maximum at a critical state xc, the interval bounding the population size asymptotically is usually presented as being equal to [f (xc), f(xc)]. This interval however does not represent the maximum range within which the population size can vary, even asymptotically. The actual invariant interval containing the population size is equal to:
2012 26th International Conference on Advanced Information Networking and Applications Workshops, 2012
ABSTRACT
Data Revues 1631073x V350i5 6 S1631073x12000039, Mar 1, 2012
This Note deals with the mathematical notions of entropy and stability rate in interaction graphs... more This Note deals with the mathematical notions of entropy and stability rate in interaction graphs of genetic networks, in the particular context of the genetic threshold Boolean random regulatory networks (getBrens). It is proved that in certain circumstances of particular connectance, the entropy of the invariant measure of the dynamical system can be considered both as a complexity and a stability index, by exploiting the link between these two notions, fundamental to characterize the resistance of a biological system against endogenous or exogenous perturbations, as in the case of the n-switches. Examples of biological networks are then given showing the practical interest of the mathematical notions of complexity and stability in the case of the control of the morphogenesis. © 2012 Académie des sciences. Published by Elsevier Masson SAS. All rights reserved.
2011 IEEE Workshops of International Conference on Advanced Information Networking and Applications, 2011
Abstract The initial stage of gastrulation, an early stage of embryogenesis, is called invaginati... more Abstract The initial stage of gastrulation, an early stage of embryogenesis, is called invagination, or primitive streak formation. In the first part of the paper, we analyse by using image processing techniques the cell deformation and motion in he Drosophila ...
International Journal of Bifurcation and Chaos, 2012
McKendrick can be revisited in order to consider the colocalizations favoring interaction between... more McKendrick can be revisited in order to consider the colocalizations favoring interaction between morphogens and cells or between pathogens and hosts. The classical epidemic models suppose, for example, that the populations in interaction have a constant size and are spatially fixed during the epidemic waves, but the presently observed pandemics show that the long duration of their spread during months or years imposes to take into account the pathogens, hosts and vectors migration in epidemics, as well as the morphogens and cells diffusion in morphogenesis. That leads naturally to study the occurrence of complex spatio-temporal behaviors in dynamics of population sizes and also to consider preferential zones of interaction, i.e. the zero-diffusion sets, for respectively building anatomic frontiers and confining contagion domains. Three examples of application will be presented, the first proposing a model of Black Death spread in Europe (1348-1350), and the last ones related to two morphogenetic processes, feather morphogenesis in chicken and gastrulation in Drosophila.
La prévention des escarres chez le blessé médullaire, compte tenu de leur prévalence, des conséqu... more La prévention des escarres chez le blessé médullaire, compte tenu de leur prévalence, des conséquences sur la qualité de vie des personnes atteintes et des coûts de prise en charge, constitue une priorité de santé publique majeure qui n'a pas aujourd'hui de solutions thérapeutiques fiables et satisfaisantes. C'est dans ce contexte médical, sociétal et économique que nous avons mis au point un dispositif de prévention des escarres du blessé médullaire. Nous présentons ici notre démarche ergonomique de conception et d'évaluation centrée utilisateur, ainsi que les principaux résultats de ce travail. Trois étapes ont été suivies: conception participative, prototypage et évaluation en termes d'utilisabilité. Une étude de conception participative menée auprès de blessés médullaires paraplégiques a conduit à décrire le principe de fonctionnement du dispositif de suppléance perceptive tactilo-visuelle de prévention des escarres VIGI-SORE comme suit: (1) mesure en continu et en temps réel des pressions sur l'assise et le dossier du fauteuil à l'aide de capteurs ; (2) identification des zones de souffrance tissulaire à partir de l'analyse automatique des surpressions enregistrées ; (3) estimation des changements posturaux optimaux à réaliser pour soulager ces zones de souffrance à partir de la simulation informatique des cartographies de pressions associées à différentes postures ; (4) si nécessaire, retour d'information à la personne paraplégique selon les 2 modalités: une alerte (via un système de vibreur tactile au poignet ou téléphone portable) d'un risque de formation d'escarre, et une information (via affichage de messages textuels ou iconographiques sur une montre ou un écran déporté) de la distribution des pressions fessières ou d'un changement postural qui soulagerait la zone de souffrance ; (5) recueil, transmission et stockage de l'ensemble des pressions mesurées afin de constituer une base de données épidémiologiques personne-dépendante avec comme objectif une remontée des informations vers le personnel médical. Sur la base des spécifications de ce cahier des charges et de principes et recommandations ergonomiques, un prototype a été mis au point, puis évalué en termes d'utilisabilité auprès d'utilisateurs potentiels (norme ISO 9241-11). Les premiers résultats de cette évaluation ont montré que les blessés médullaires paraplégiques sont capables d'utiliser, avec efficacité, efficience et satisfaction dans le contexte d'utilisation spécifié, le dispositif VIGI-SORE pour améliorer la distribution spatiale au cours du temps de la pression exercée sur 457 les tissus mous à l'interface saillies osseuses/fauteuil en vue de prévenir la formation d'une escarre fessière. En définitive, notre démarche ergonomique centrée utilisateur a permis d'orienter les choix de conception du dispositif de prévention des escarres pour assurer une meilleure adaptation au profil/besoins/attentes des futurs utilisateurs.
European Journal of Applied Physiology, 2008
Lecture Notes in Computer Science, 1990
Our purpose is to bring together some elements of our recent theoretical approach of neural model... more Our purpose is to bring together some elements of our recent theoretical approach of neural modeling in comparison with the new multi-neuronal data available since neurophysiological optical recording got improved. In a first part we shall briefly explain the consequence of a ...
NATO ASI Series, 1991
We give in this paper the definition of a formal network and after, some information about the us... more We give in this paper the definition of a formal network and after, some information about the use of its asymptotic properties for segmenting 3D images reconstructed from parallel cross sections (such as those from Computed Tomography or Magnetic Resonance Imaging). ...
Revue d'Épidémiologie et de Santé Publique, 2010
adultes des deux régions les plus populeuses au Québec. Elle porte sur les 2037 individus ayant d... more adultes des deux régions les plus populeuses au Québec. Elle porte sur les 2037 individus ayant déclaré avoir un médecin traitant et ayant consulté pour un besoin de santé dans les six derniers mois. Des analyses en composantes principales et des classifications hiérarchiques ont été réalisées pour construire des profils d'utilisateurs, avec les variables suivantes : caractéristiques sociodémographiques, nature du besoin de santé, perceptions qu'ont les individus des services offerts par leur médecin traitant, et lieu de consultation (urgences, cabinet de médecins).
Multi-compartmental modelling and experimental design for glucose transport study in insulinresis... more Multi-compartmental modelling and experimental design for glucose transport study in insulinresistant rat. Many pathologies are associated with abnormalities of glucose metabolism or with perturbations of its transport (type 2 diabetes or insulin-resistance). The pre-diabetic state is characterised by a state of insulin-resistance, in others words a defect of glucose transport in insulin-sensible tissues, such as muscles and adipose tissues. The mathematical modelling of experimental data can be an excellent method to explore the mechanisms implied in the studied biological phenomenon. Thus, starting from a symbolic formulation like the compartmental modelling, it can be possible to develop a theoretical basis for the observation and to consider the best-adapted experiments for the study. We showed with mathematical models that [ 123 I]-6-deoxy-6-iodo-D-glucose (6-DIG), shown as a tracer of glucose transport in vitro, could point out this transport abnormality. To quantify the insulin resistance, we estimated the fractional transfer coefficients of 6-DIG from the blood to the organs. We realised many studies to lead to a satisfying model; special attention has been paid to the precision of the parameter to select the best model. The results showed that by associating experimental data obtained with 6-DIG activities and an adapted mathematical model, discriminating parameters (in and out fractional transfer coefficients) between the two groups (control and insulin-resistant rats) could be pointed out.
International Journal of Bifurcation and Chaos, 2012
McKendrick can be revisited in order to consider the colocalizations favoring interaction between... more McKendrick can be revisited in order to consider the colocalizations favoring interaction between morphogens and cells or between pathogens and hosts. The classical epidemic models suppose, for example, that the populations in interaction have a constant size and are spatially fixed during the epidemic waves, but the presently observed pandemics show that the long duration of their spread during months or years imposes to take into account the pathogens, hosts and vectors migration in epidemics, as well as the morphogens and cells diffusion in morphogenesis. That leads naturally to study the occurrence of complex spatio-temporal behaviors in dynamics of population sizes and also to consider preferential zones of interaction, i.e. the zero-diffusion sets, for respectively building anatomic frontiers and confining contagion domains. Three examples of application will be presented, the first proposing a model of Black Death spread in Europe (1348-1350), and the last ones related to two morphogenetic processes, feather morphogenesis in chicken and gastrulation in Drosophila.
Contributions to Statistics, 2015
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009
We present here some theoretical and numerical results about interval iterations. We consider fir... more We present here some theoretical and numerical results about interval iterations. We consider first an application of the interval iterations theory to the problem of entrainment in respiratory physiology for which the classical point iterations theory fails. Then, after a brief review of some of the main aspects of point iterations, we explain what is meant by the term 'interval iterations'. It consists essentially in replacing in the point iterations the function to iterate by a set-valued map. We present both theoretical and numerical aspects of this new type of iterations and we observe the dynamical behaviours encountered, such as fixed intervals and interval limit cycles. The comparison between point and interval iterations is carried out with respect to a parameter ε, which determines the thickness of a neighbourhood around the function to iterate. We will finally focus our attention on the Verhulst and Ricker functions largely used in population dynamics, which exhibit various asymptotic behaviours.
Comptes Rendus Mathematique, 2012
ABSTRACT
Comptes Rendus Mathematique, 2012
This Note deals with the mathematical notions of entropy and stability rate in interaction graphs... more This Note deals with the mathematical notions of entropy and stability rate in interaction graphs of genetic networks, in the particular context of the genetic threshold Boolean random regulatory networks (getBrens). It is proved that in certain circumstances of particular connectance, the entropy of the invariant measure of the dynamical system can be considered both as a complexity and a stability index, by exploiting the link between these two notions, fundamental to characterize the resistance of a biological system against endogenous or exogenous perturbations, as in the case of the n-switches. Examples of biological networks are then given showing the practical interest of the mathematical notions of complexity and stability in the case of the control of the morphogenesis. © 2012 Académie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Acta Biotheoretica, 2014
The problem of stability in population dynamics concerns many domains of application in demograph... more The problem of stability in population dynamics concerns many domains of application in demography, biology, mechanics and mathematics. The problem is highly generic and independent of the population considered (human, animals, molecules,…). We give in this paper some examples of population dynamics concerning nucleic acids interacting through direct nucleic binding with small or cyclic RNAs acting on mRNAs or tRNAs as translation factors or through protein complexes expressed by genes and linked to DNA as transcription factors. The networks made of these interactions between nucleic acids (considered respectively as edges and nodes of their interaction graph) are complex, but exhibit simple emergent asymptotic behaviours, when time tends to infinity, called attractors. We show that the quantity called attractor entropy plays a crucial role in the study of the stability and robustness of such genetic networks.
Mathematical Population Studies, 2005
For a unimodal growth function f having its maximum at a critical state xc, the interval bounding... more For a unimodal growth function f having its maximum at a critical state xc, the interval bounding the population size asymptotically is usually presented as being equal to [f (xc), f(xc)]. This interval however does not represent the maximum range within which the population size can vary, even asymptotically. The actual invariant interval containing the population size is equal to:
2012 26th International Conference on Advanced Information Networking and Applications Workshops, 2012
ABSTRACT
Data Revues 1631073x V350i5 6 S1631073x12000039, Mar 1, 2012
This Note deals with the mathematical notions of entropy and stability rate in interaction graphs... more This Note deals with the mathematical notions of entropy and stability rate in interaction graphs of genetic networks, in the particular context of the genetic threshold Boolean random regulatory networks (getBrens). It is proved that in certain circumstances of particular connectance, the entropy of the invariant measure of the dynamical system can be considered both as a complexity and a stability index, by exploiting the link between these two notions, fundamental to characterize the resistance of a biological system against endogenous or exogenous perturbations, as in the case of the n-switches. Examples of biological networks are then given showing the practical interest of the mathematical notions of complexity and stability in the case of the control of the morphogenesis. © 2012 Académie des sciences. Published by Elsevier Masson SAS. All rights reserved.
2011 IEEE Workshops of International Conference on Advanced Information Networking and Applications, 2011
Abstract The initial stage of gastrulation, an early stage of embryogenesis, is called invaginati... more Abstract The initial stage of gastrulation, an early stage of embryogenesis, is called invagination, or primitive streak formation. In the first part of the paper, we analyse by using image processing techniques the cell deformation and motion in he Drosophila ...
International Journal of Bifurcation and Chaos, 2012
McKendrick can be revisited in order to consider the colocalizations favoring interaction between... more McKendrick can be revisited in order to consider the colocalizations favoring interaction between morphogens and cells or between pathogens and hosts. The classical epidemic models suppose, for example, that the populations in interaction have a constant size and are spatially fixed during the epidemic waves, but the presently observed pandemics show that the long duration of their spread during months or years imposes to take into account the pathogens, hosts and vectors migration in epidemics, as well as the morphogens and cells diffusion in morphogenesis. That leads naturally to study the occurrence of complex spatio-temporal behaviors in dynamics of population sizes and also to consider preferential zones of interaction, i.e. the zero-diffusion sets, for respectively building anatomic frontiers and confining contagion domains. Three examples of application will be presented, the first proposing a model of Black Death spread in Europe (1348-1350), and the last ones related to two morphogenetic processes, feather morphogenesis in chicken and gastrulation in Drosophila.
La prévention des escarres chez le blessé médullaire, compte tenu de leur prévalence, des conséqu... more La prévention des escarres chez le blessé médullaire, compte tenu de leur prévalence, des conséquences sur la qualité de vie des personnes atteintes et des coûts de prise en charge, constitue une priorité de santé publique majeure qui n'a pas aujourd'hui de solutions thérapeutiques fiables et satisfaisantes. C'est dans ce contexte médical, sociétal et économique que nous avons mis au point un dispositif de prévention des escarres du blessé médullaire. Nous présentons ici notre démarche ergonomique de conception et d'évaluation centrée utilisateur, ainsi que les principaux résultats de ce travail. Trois étapes ont été suivies: conception participative, prototypage et évaluation en termes d'utilisabilité. Une étude de conception participative menée auprès de blessés médullaires paraplégiques a conduit à décrire le principe de fonctionnement du dispositif de suppléance perceptive tactilo-visuelle de prévention des escarres VIGI-SORE comme suit: (1) mesure en continu et en temps réel des pressions sur l'assise et le dossier du fauteuil à l'aide de capteurs ; (2) identification des zones de souffrance tissulaire à partir de l'analyse automatique des surpressions enregistrées ; (3) estimation des changements posturaux optimaux à réaliser pour soulager ces zones de souffrance à partir de la simulation informatique des cartographies de pressions associées à différentes postures ; (4) si nécessaire, retour d'information à la personne paraplégique selon les 2 modalités: une alerte (via un système de vibreur tactile au poignet ou téléphone portable) d'un risque de formation d'escarre, et une information (via affichage de messages textuels ou iconographiques sur une montre ou un écran déporté) de la distribution des pressions fessières ou d'un changement postural qui soulagerait la zone de souffrance ; (5) recueil, transmission et stockage de l'ensemble des pressions mesurées afin de constituer une base de données épidémiologiques personne-dépendante avec comme objectif une remontée des informations vers le personnel médical. Sur la base des spécifications de ce cahier des charges et de principes et recommandations ergonomiques, un prototype a été mis au point, puis évalué en termes d'utilisabilité auprès d'utilisateurs potentiels (norme ISO 9241-11). Les premiers résultats de cette évaluation ont montré que les blessés médullaires paraplégiques sont capables d'utiliser, avec efficacité, efficience et satisfaction dans le contexte d'utilisation spécifié, le dispositif VIGI-SORE pour améliorer la distribution spatiale au cours du temps de la pression exercée sur 457 les tissus mous à l'interface saillies osseuses/fauteuil en vue de prévenir la formation d'une escarre fessière. En définitive, notre démarche ergonomique centrée utilisateur a permis d'orienter les choix de conception du dispositif de prévention des escarres pour assurer une meilleure adaptation au profil/besoins/attentes des futurs utilisateurs.
European Journal of Applied Physiology, 2008