Effect of Linearization in a WNT Signaling Model.

A nonlinear model consisting of a system of coupled ordinary differential equations (ODE), describing a biological process linked with cancer development, is linearized using Taylor series and tested against different magnitudes of input perturbations, in order to investigate the extent to which the linearization is accurate. The canonical wingless/integrated (WNT) signaling pathway is considered. The linearization procedure is described, and special considerations for linearization validity are analyzed.

Models of Models: A Translational Route for Cancer Treatment and Drug Development.

Every patient and every disease is different. Each patient therefore requires a personalized treatment approach. For technical reasons, a personalized approach is feasible for treatment strategies such as surgery, but not for drug-based therapy or drug development.

[Inertial separation of dust particles in a direct-flow field].

A description is given of a graphic-mathematical method for approximate finding the separation capacity of the forward directed flow separator. The differential equations for the movement of a particle in changeable air flow are used. The parameters of the air flow in the canal of the separator are established in a graphic way.

[Method and apparatus setup for preparing test dusts with a specified granulometric composition by air separation].

A method is developed and apparatuses constructed for the preparation of zeolite dusts for biological experiments in vivo and in vitro with dimensions under 5 micron. The method includes autogenic grinding of rocky zeolite material and air separation of the fraction under 63 micron, by means of cyclone and experimentally chosen conditions of work. The received "respirable" dust very well imitates the dust of the air from the working environment.