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Peer Reviewed
See detailMathematical modelling of atrophic non-union and its treatment
Geris, Liesbet ULg; Vander Sloten, Jos; VanOosterwyck, Hans

in Proceedings of the International symposium on Biomechanics and Biology of Bone Healing (2008)

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See detailA mathematical modelling of bloom of the coccolithophore Emiliania huxleyi in a mesocosm experiment
Joassin, Pascal ULg; Delille, Bruno ULg; Soetaert, Karline et al

Poster (2008, July 23)

A dynamic model has been developed to represent biogeochemical variables and processes observed during a bloom of Emiliania huxleyi coccolithophore. This bloom was induced in a mesocosm experiment during ... [more ▼]

A dynamic model has been developed to represent biogeochemical variables and processes observed during a bloom of Emiliania huxleyi coccolithophore. This bloom was induced in a mesocosm experiment during which the ecosystem development was followed over a period of 23-days through changes in various biogeochemical parameters such as inorganic nutrients (nitrate, ammonium and phosphate), total alkalinity (TA), dissolved inorganic carbon (DIC), partial pressure of carbon dioxide (pCO2), dissolved oxygen (O2), photosynthetic pigments, particulate organic carbon (POC), dissolved organic carbon (DOC), Transparent Exopolymer Particles (TEP), primary production, and calcification. This dynamic model is based on unbalanced algal growth and balanced bacterial growth. In order to adequately reproduce the observations, the model includes an explicit description of phosphorus cycling, calcification, TEP production and an enhanced mortality due to viral lysis. The model represented carbon, nitrogen and phosphorus fluxes observed in the mesocosms. Modelled profiles of algal biomass and final concentrations of DIC and nutrients are in agreement with the experimental observations. [less ▲]

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See detailA mathematical modelling of bloom of the coccolithophore Emiliania huxleyi in a mesocosm experiment
Joassin, Pascal ULg; Delille, Bruno ULg; Soetaert, K. et al

in Biogeosciences Discussions (2008), 5

A dynamic model has been developed to represent biogeochemical variables and processes observed during a bloom of Emiliania huxleyi coccolithophore. This bloom was induced in a mesocosm experiment during ... [more ▼]

A dynamic model has been developed to represent biogeochemical variables and processes observed during a bloom of Emiliania huxleyi coccolithophore. This bloom was induced in a mesocosm experiment during which the ecosystem development was followed over a period of 23-days through changes in various biogeochemical parameters such as inorganic nutrients (nitrate, ammonium and phosphate), total alkalinity (TA), dissolved inorganic carbon (DIC), partial pressure of CO[SUB]2[/SUB] (pCO[SUB]2[/SUB]), dissolved oxygen (O[SUB]2[/SUB]), photosynthetic pigments, particulate organic carbon (POC), dissolved organic carbon (DOC), Transparent Exopolymer Particles (TEP), primary production, and calcification. This dynamic model is based on unbalanced algal growth and balanced bacterial growth. In order to adequately reproduce the observations, the model includes an explicit description of phosphorus cycling, calcification, TEP production and an enhanced mortality due to viral lysis. The model represented carbon, nitrogen and phosphorus fluxes observed in the mesocosms. Modelled profiles of algal biomass and final concentrations of DIC and nutrients are in agreement with the experimental observations. [less ▲]

Detailed reference viewed: 36 (8 ULg)
Peer Reviewed
See detailMathematical modelling of bone regeneration during fracture healing
Geris, Liesbet ULg; VanderSloten@mech.kuleuven.be, Jos; VanOosterwyck, Hans

in proceedings of the OPTEC Topical Workshop on Parameter Estimation in Differential Equations (2008)

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See detailMathematical modelling of bone regeneration including angiogenesis: design of treatment strategies for atrophic non-unions
Geris, Liesbet ULg; Vander Sloten, Jos; Van Oosterwyck, Hans

in Proceedings of the 54th Annual Meeting of the Orthopaedic Research Society (2008)

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See detailMathematical modelling of cell aggregates for bone tissue engineering using continuum methods
Geris, Liesbet ULg; Clarke, T.; Ashbourn, J.

in Middleton, J.; Jacobs, C.; Walker, B. (Eds.) et al 9th International symposium on Computer Methods in Biomechanics and Biomedical Engineering (2010)

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See detailMathematical modelling of growth factor induced bone regeneration: importance of angiogenesis
Van Oosterwyck, Hans; Vander Sloten, Jos; Geris, Liesbet ULg

in Tissue Engineering (2007)

Detailed reference viewed: 7 (0 ULg)
Peer Reviewed
See detailMathematical modelling of semi-rigid joints in steel structures
Maquoi, René ULg; Jaspart, Jean-Pierre ULg

in Inzenyrski Stavby 2 (1988)

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See detailMathematical Modelling of TNF induced apoptosis and anti-apoptotic crosstalk in mammalian cells
Sauter, T.; Schliemann, Monica ULg; Eißing, T. et al

Poster (2005)

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See detailMathematical modelling of TNF- induced anti-apoptotic signalling pathways in mammalian cells based on dynamic and quantitative experiments
Schliemann, Monica ULg; Eißing, Thomas; Scheurich, Peter et al

in Proc. 2nd Foundations of Systems Biology in Engineering FOSBE 2007 (2007, September)

2nd Foundations of Systems Biology in Engineering FOSBE 2007

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See detailMathematical models in intensive care units
Desaive, Thomas ULg

Scientific conference (2012, October 22)

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See detailMathematical multi-scale model of the cardiovascular system including mitral valve dynamics. Application to ischemic mitral insufficiency
Paeme, Sabine ULg; Moorhead, Katherine; Chase, J. Geoffrey et al

in BioMedical Engineering OnLine (2011), 10(1), 86

Valve dysfunction is a common cardiovascular pathology. Despite significant clinical research, there is little formal study of how valve dysfunction affects overall circulatory dynamics. Validated models ... [more ▼]

Valve dysfunction is a common cardiovascular pathology. Despite significant clinical research, there is little formal study of how valve dysfunction affects overall circulatory dynamics. Validated models would offer the ability to better understand these dynamics and thus optimize diagnosis, as well as surgical and other interventions. A cardiovascular and circulatory system (CVS) model has already been validated in silico, and in several animal model studies. It accounts for valve dynamics using Heaviside functions to simulate a physiologically accurate “open on pressure, close on flow” law. However, it does not consider real-time valve opening dynamics and therefore does not fully capture valve dysfunction, particularly where the dysfunction involves partial closure. This research describes an updated version of this previous closed-loop CVS model that includes the progressive opening of the mitral valve, and is defined over the full cardiac cycle. Simulations of the cardiovascular system with healthy mitral valve are performed, and, the global hemodynamic behaviour is studied compared with previously validated results. The error between resulting pressure-volume (PV) loops of already validated CVS model and the new CVS model that includes the progressive opening of the mitral valve is assessed and remains within typical measurement error and variability. Simulations of ischemic mitral insufficiency are also performed. Pressure-Volume loops, transmitral flow evolution and mitral valve aperture area evolution follow reported measurements in shape, amplitude and trends. The resulting cardiovascular system model including mitral valve dynamics provides a foundation for clinical validation and the study of valvular dysfunction in vivo. The overall models and results could readily be generalised to other cardiac valves. [less ▲]

Detailed reference viewed: 65 (28 ULg)
See detailMathematical Programming Methods for Constrained Optimization: Dual Methods
Fleury, Claude ULg

in Progress in Astronautics and Aeronautics (1993), 150

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Peer Reviewed
See detailMathematical symbolism : a feature responsible for superficial approaches ?
Fagnant, Annick ULg

in Cockburn, A. D.; Nordi, E. (Eds.) Proceedings of the 26th annual conference of the international group for the psychology of mathematics education (2002)

Detailed reference viewed: 29 (3 ULg)
See detailMathematical visualisation of the general circulation
Nihoul, Jacques ULg; Djenidi, Salim ULg; Deleersnijder, Eric

in Pichot, Georges (Ed.) Proceedings of the North Sea Symposium (1989)

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See detailMathematical visualization of general circulation fields in the Northern Bering Sea
Nihoul, Jacques ULg; Djenidi, Salim ULg; Deleersnijder, Eric et al

Conference (1989)

Detailed reference viewed: 2 (1 ULg)
See detailMathematical visualization of the Anadyr Western Boundary Current and the associated frontal structures in the Northern Bering Sea
Nihoul, Jacques ULg; Djenidi, Salim ULg; Deleersnijder, Eric et al

in EOS : Transactions, American Geophysical Union (1990), 71(2), 189

Detailed reference viewed: 3 (0 ULg)