We present a mathematical model that describes the initial stages of placental development during which trophoblast cells begin to invade the uterine tissue. We then carry out a mathematical analysis of a simpler submodel that describes the final stages of normal embryo implantation and suggests that as the timescale of interest increases, the dominant migratory mechanism of the trophoblasts sw...

Although many mathematical methods were used to analyze the neural activity under sinusoidal stimulation within linear response range in vestibular system, the reliabilities of these methods are still not reported, especially in nonlinear response range. Here we chose nonlinear least-squares algorithm (NLSA) with sinusoidal model to analyze the neural response of semicircular canal neurons (SCN...

the purpose of this paper is to studying nonlinear k-ε turbulence models and its advantages in internal combustion engines, since the standard k-ε model is incapable of representing the anisotropy of turbulence intensities and fails to express the reynolds stresses adequately in rotating flows. therefore, this model is not only incapable of expressing the anisotropy of turbulence in an engine c...

In this paper, a new mathematical model for the problem of job scheduling in virtual manufacturing cells (VMC) is presented to minimizing the completion time of all jobs. Sequence dependent setup times of machines is considered and lot-streaming is possible. In Virtual manufacturing cells, each job has a different processing path and there is a set of machines for processing each operation. The...

The ship main engine speed control system is a typical nonlinear system and it is uncertain characteristics, It is influenced by the wind, wave, flow etc. So it is difficulted to designed the diesel engine mathematical model. This paper presents a nonlinear mathematical model of ship main engine. Because the active disturbance rejection controller does not depend on the mathematical model of th...

Unfortunately, the major group of the systems in industry has nonlinear behavior and control of such processes with conventional control approaches with fixed parameters causes problems and suboptimal or unstable control results. An adaptive control is one way to how we can cope with nonlinearity of the system. This contribution compares classic adaptive control and its modification with Wiener...

air conditioning is widely applied for the improvement of standard of living in human life. this present investigation focused on the prediction of indoor air quality characteristics of air conditioned car using fuzzy logic algorithm. the conditioned space was selected and the experiments were planned as per design of experiments to study the effect of human load, fresh air supply and air veloc...

This paper presents a problem solution of the stable voltage generating in the changing terms of environment for the double-fed induction generator (DFIG). For this, in nonlinear multivariable systems, such as mathematical model of DFIG, the method of observer’s synthesis for external, parametric and structural disturbances was used. This allows, on the basis of disturbances approximation, to c...