We propose in this article to compare the efficiency of two chemotherapeutic schedules: the traditional and the metronomic. For this, we develop a new mathematical model describing the growth dynamics of tumor and endothelial cells as well as the impact of molecules as oxygen or vascular endothelial growth factor on this dynamics. The model construction: biological assumptions, description of t...

We present two stability results in this paper. We rst obtain suucient conn ditions for the continuity of optimal values and solutions of convex programs in general vector spaces, as well as some types of robustness of some sub-optimal solutions. We then use these results in order to establish a new result in stochastic dynamic control of discrete event systems (known as constrained Markov Deci...

The problem of the late accretion phase of the evolution of an axisymmetric, isothermal magnetic disk surrounding a forming star has been formulated in a companion paper. The “central sink approximation” is used to circumvent the problem of describing the evolution inside the opaque central region for densities greater than 10 cm and radii smaller than a few AUs. Only the electrons are assumed ...

We analyze arbitrary order linear finite volume transport schemes and show asymptotic stability in L and L∞ for odd order schemes in dimension one. It gives sharp fractional order estimates of convergence for BV solutions. It shows odd order finite volume advection schemes are better than even order finite volume schemes. Therefore the Gibbs phenomena is controled for odd order finite volume sc...

The problem of generating optimal sagittal reference gaits in bipedal walking is addressed. In our study the single-support phase during which the biped reaches its highest instability will be considered. The approach developed allows for a fully dynamic model of the biped, and is based on minimizing the integral of quadratic joint actuating torques. Impactless and non-sliding heel-touch will b...

Porous hydroxyapatite spheres were prepared by a modified gelcasting method producing a ceramic prosthesis with controled porosity. The spheres are approximately 2.2 cm in diameter with a relatively homogeneous pore size distribution from 10 to 40 microm in diameter. The samples were characterized by X-ray powder diffractometry (XRD) and Fourier transform infra-red spectroscopy (FTIR) to identi...

A neural network is presented that stores spatio-temporal patterns (synnre-chains) in associative networks of spiking neurons and replays them at a controlable speed. An implicit equation is derived and solved numerically which relates the average speed to the network parameters. The replay speed can be controled by unspeciic background signals and also depends on the number of co-activated syn...

We try to show that Discriminant Analysis can be considered as a branch of Statistical Decision Theory when viewed from a Bayesian approach. First we present the necessary measure theory results, next we briefly outline the foundations of Bayesian Inference before developing Discriminant Analysis as an application of Bayesian Estimation. Our approach renders Discriminant Analysis more flexible ...