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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

Detailed reference viewed: 21 (2 ULg)
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

Detailed reference viewed: 39 (0 ULg)
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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: 28 (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)

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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

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See detailThe Mathematics of Peter L. Hammer (1936-2006): Graphs, Optimization, and Boolean Models
Boros, Endre; Crama, Yves ULg; De Werra, Dominique et al

in Boros, Endre; Crama, Yves; De Werra, Dominique (Eds.) et al The Mathematics of Peter L. Hammer (1936-2006): Graphs, Optimization, and Boolean Models (2011)

This volume of the Annals of Operations Research, contains a collection of papers published in memory of Peter L. Hammer. As we recall further down, Peter made substantial contributions to several areas ... [more ▼]

This volume of the Annals of Operations Research, contains a collection of papers published in memory of Peter L. Hammer. As we recall further down, Peter made substantial contributions to several areas of operations research and discretemathematics, including, in particular, mathematical programming (linear and quadratic 0–1 programming, pseudo-Boolean optimization, knapsack problems, etc.), combinatorial optimization (transportation problems, network flows, MAXSAT, simple plant location, etc.), graph theory (special classes of graphs, stability problems, and their applications), data mining and classification (Logical Analysis of Data), and, last but not least, Boolean theory (satisfiability, duality, Horn functions, threshold functions, and their applications). [less ▲]

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See detailThe Mathematics of Peter L. Hammer (1936-2006): Graphs, Optimization, and Boolean Models
Boros, Endre; Crama, Yves ULg; de Werra, Dominique et al

in Annals of Operations Research (2011), 188

This volume contains a collection of papers published in memory of Peter L. Hammer (1936-2006). Peter Hammer made substantial contributions to several areas of operations research and discrete mathematics ... [more ▼]

This volume contains a collection of papers published in memory of Peter L. Hammer (1936-2006). Peter Hammer made substantial contributions to several areas of operations research and discrete mathematics, including, in particular, mathematical programming (linear and quadratic 0--1 programming, pseudo-Boolean optimization, knapsack problems, etc.), combinatorial optimization (transportation problems, network flows, MAXSAT, simple plant location, etc.), graph theory (special classes of graphs, stability problems, and their applications), data mining and classification (Logical Analysis of Data), and, last but not least, Boolean theory (satisfiability, duality, Horn functions, threshold functions, and their applications). The volume contains 23 contributed papers along these lines. [less ▲]

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See detailMathematics of the total alkalinity–pH equation – pathway to robust and universal solution algorithms: the SolveSAPHE package v1.0.1
Munhoven, Guy ULg

in Geoscientific Model Development [=GMD] (2013), 6

The total alkalinity–pH equation, which relates total alkalinity and pH for a given set of total concentrations of the acid–base systems that contribute to total alkalinity in a given water sample, is ... [more ▼]

The total alkalinity–pH equation, which relates total alkalinity and pH for a given set of total concentrations of the acid–base systems that contribute to total alkalinity in a given water sample, is reviewed and its mathematical properties established. We prove that the equation function is strictly monotone and always has exactly one positive root. Different commonly used approximations are discussed and compared. An original method to derive appropriate initial values for the iterative solution of the cubic polynomial equation based upon carbonate-borate-alkalinity is presented. We then review different methods that have been used to solve the total alkalinity–pH equation, with a main focus on biogeochemical models. The shortcomings and limitations of these methods are made out and discussed. We then present two variants of a new, robust and universally convergent algorithm to solve the total alkalinity–pH equation. This algorithm does not require any a priori knowledge of the solution. SolveSAPHE (Solver Suite for Alkalinity-PH Equations) provides reference implementations of several variants of the new algorithm in Fortran 90, together with new implementations of other, previously published solvers. The new iterative procedure is shown to converge from any starting value to the physical solution. The extra computational cost for the convergence security is only 10–15% compared to the fastest algorithm in our test series. [less ▲]

Detailed reference viewed: 31 (4 ULg)
See detailMathematics Teaching and Learning Strategies
Crocker, R.; Glickman, V.; Levin, B. et al

Book published by OECD (2010)

Detailed reference viewed: 48 (6 ULg)
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See detailLa mathématique de la Bible
Fredericq, Léon ULg

in Revue de Belgique (1912), (20), 926-930

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See detailMathématique et Codes secrets
Pays, Isabelle ULg

Scientific conference (1993)

Detailed reference viewed: 17 (0 ULg)
See detailMathématique, quelle psychologie pour quel enseignement
Beckers, Jacqueline ULg

in Education : tribune libre (1988), 211

Detailed reference viewed: 10 (0 ULg)
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See detailMathématiques convoquées par le registre graphique au sein du cours de physique
Renkens, Céline; Henry, Valérie ULg

in Actes de la CIEAEM 66 (in press)

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See detailMathématiques Élémentaires -- Condensé
Merciadri, Luca ULg

E-print/Working paper (2009)

This document is a kind of Math. formula's form. It is majoritarly coming from a volonty of classifying these last so they are easily accessible. Firstly, this document was redacted in order to be ... [more ▼]

This document is a kind of Math. formula's form. It is majoritarly coming from a volonty of classifying these last so they are easily accessible. Firstly, this document was redacted in order to be prepared to the engineering studies (at ULg). Many sections have been added, and it is equivalent to a first-year Math. course for a scientific (who is not a mathematician). For this reason, the text has not been very developped, so this document is as short (and quick) as possible, with no need to read unnecessary sentences which would slow the reading. Principal sentences have been written, to make links, because Math. is not only formula's: speaking is a very important way to communicate ideas and to link concepts, especially in Sciences. Indeed, it would not suffice to copy formula's to redact a summary. It is important to translate them to French too, to ensure their understanding. The aim of this summary is not to assemble mathematical ``tricks.'' Indeed, it would not suffice to apply these ready-made ``recipes'' to have success with the exercises: it would be so easy, and why would there be Math. teachers? Only few proves will be made, to lighten the document; however, formula's will be admitted. Many different notations will be used for the same idea, in order to give the habit of the reader to use different notations (e.g. the notation used for the transposed of a matrix). This synthesis is not comprehensive, and does not pretend to be rigourous. Only the essential chapters and sections have been kept. When prerequisites are necessary, they are announced, even if it is sometimes not possible to develop points before others, because, on one hand, they sometimes call each other, and, on the other hand, some notions have volontarily not been given (limits computing, in Calculus). Indeed, many points are supposed to be known: this document consists only in a set of reminds! [less ▲]

Detailed reference viewed: 405 (97 ULg)