By Isabelle Queinnec, Sophie Tarbouriech, Germain Garcia, Silviu-Iulian Niculescu
Creating a few hyperlinks among keep an eye on suggestions and biology modeling groups in accordance with similarities in modeling, staring at and perceiving alive constructions, and studying interconnections among organic buildings and subsystems was once the most target of this quantity.
In this context, biology structures want applicable research instruments because of their constitution and hierarchy, complexity and setting interference, and we think that those features might generate fascinating study subject matters up to the mark zone. certainly, numerous works, elevating the capability impression of keep watch over advancements to deliver a few starting of solutions within the context of organic platforms, were released within the fresh years.
The proposal of this e-book used to be conceived within the context pointed out above with the target to aid in claiming the various difficulties for keep watch over researchers, beginning discussions and starting interactive debates among the keep watch over and biology groups, and, ultimately, to alert graduate scholars to the various fascinating rules on the frontier among regulate suggestions idea and biology.
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Additional resources for Biology and control theory: current challenges
33. F. Biafore and C. E. D’Attellis. Exact linearisation and control of an HIV-1 predator-prey model. In 27th Annual International Conference of the IEEE Engineering in Medecine and Biology Society, Shanghai, China, September 2005. 34. D. A. Ouattara and C. H. Moog. Identiﬁcation, linéarisation et commande optimale du modèle 3D de l’infection VIH-1. In Conférence International Francophone d’Autotmatique, CIFA 2006, Bordeaux, France, 2006. A Multiscale Model for the Selection Control of Ovulatory Follicles Nki Echenim, Fr´ed´erique Cl´ement, and Michel Sorine INRIA Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France Summary.
Description and units of the 3D model parameters. To be conform to the clinical standard we suppose that the CD4 count is in CD4/mm3 and the viral load is in copies/ml. Parameters s δ β μ k c r K Deﬁnition source of T-cells from the thymus death rate of heathy cells rate of T-cells infection death rate of infected cells rate of virions production death rate of virions maximal proliferation rate half-saturation constant Units mm−3 /day day−1 ml/day day−1 mm3 /ml/day day−1 mm−3 /day ml−1 3 Identiﬁability Check of the 3D Model We will consider the 3D model presented by equation (1) with the measured outputs y1 = T + T ∗ and y2 = V.
P (θ) is the probability to have a given solution θ. Figure 4 gives the density function of the solutions θ. The IQR (interquartile range) measures the Fig. 4. 25. 1. IQR is the interquartile range. 5. dispersion of the results around the real optimum. It will depend on the chosen precision and the convexity of J. The IQR gives an important information on the conﬁdence on the results. IQR = Q3 − Q1 , where Q1 (resp. Q3 ) is the 1st (resp. the 3rd ) quartile of the distribution. Q2 (the median) is the 2nd quartile.