References of "Mathematical Biosciences"
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See detailModel-based computation of total stressed blood volume from a preload reduction manoeuvre
Pironet, Antoine ULg; Desaive, Thomas ULg; Chase, J. Geoffrey et al

in Mathematical Biosciences (2015), 265(0), 28-39

Total stressed blood volume is an important parameter for both doctors and engineers. From a medical point of view, it has been associated with the success or failure of fluid therapy, a primary treatment ... [more ▼]

Total stressed blood volume is an important parameter for both doctors and engineers. From a medical point of view, it has been associated with the success or failure of fluid therapy, a primary treatment to manage acute circulatory failure. From an engineering point of view, it dictates the cardiovascular system’s behavior in changing physiological situations. Current methods to determine this parameter involve repeated phases of circulatory arrests followed by fluid administration. In this work, a more straightforward method is developed using data from a preload reduction manoeuvre. A simple six-chamber cardiovascular system model is used and its parameters are adjusted to pig experimental data. The parameter adjustment process has three steps: (1) compute nominal values for all model parameters; (2) determine the five most sensitive parameters; and (3) adjust only these five parameters. Stressed blood volume was selected by the algorithm, which emphasizes the importance of this parameter. The model was able to track experimental trends with a maximal root mean squared error of 29.2%. Computed stressed blood volume equals 486 ± 117 ml or 15.7 ± 3.6 ml/kg, which matches previous independent experiments on pigs, dogs and humans. The method proposed in this work thus provides a simple way to compute total stressed blood volume from usual hemodynamic data. [less ▲]

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See detailYakubovich’s Oscillatority of Circadian Oscillations Models
Efimov, Denis ULg; Fradkov, Alexander

in Mathematical Biosciences (2008), 216

The testing procedure of Yakubovich’s oscillatority property is presented. The procedure is applied for two models of circadian oscillations [10], [11]. Analytical conditions of these models oscillatority ... [more ▼]

The testing procedure of Yakubovich’s oscillatority property is presented. The procedure is applied for two models of circadian oscillations [10], [11]. Analytical conditions of these models oscillatority are established and bounds on oscillation amplitude are calculated. [less ▲]

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See detailModel-based identification and diagnosis of a porcine model of induced endotoxic shock with hemofiltration
Starfinger, C.; Chase, J. G.; Hann, C. E. et al

in Mathematical Biosciences (2008), 216(2), 132-139

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See detailApproximations and their consequences for dynamic modelling of signal transduction pathways
Millat, Thomas; Bullinger, Eric ULg; Rohwer, Johann et al

in Mathematical Biosciences (2007), 207(1), 40-57

Signal transduction is the process by which the cell converts one kind of signal or stimulus into another. This involves a sequence of biochemical reactions, carried out by proteins. The dynamic response ... [more ▼]

Signal transduction is the process by which the cell converts one kind of signal or stimulus into another. This involves a sequence of biochemical reactions, carried out by proteins. The dynamic response of complex cell signalling networks can be modelled and simulated in the framework of chemical kinetics. The mathematical formulation of chemical kinetics results in a system of coupled differential equations. Simplifications can arise through assumptions and approximations. The paper provides a critical discussion of frequently employed approximations in dynamic modelling of signal transduction pathways. We discuss the requirements for conservation laws, steady state approximations, and the neglect of components. We show how these approximations simplify the mathematical treatment of biochemical networks but we also demonstrate differences between the complete system (c) 2006 Elsevier Inc. All rights reserved. [less ▲]

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