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Mathematical Models of Basal Ganglia Dynamics
Basal Ganglia Bistability delayed feedback deep brain stimulation Dopaminergic neuron Parkinson's disease Tremor
2015/1/19
Physical and biological phenomena that involve oscillations on multiple time scales attract attention of mathematicians because resulting equations include a small parameter that allows for decomposin...
Mathematical analysis on MHD pulsatile flow of blood through a rough thin-walled elastic tube
Pulsatile two-phase flow Elastic tube Phase velocity
2010/9/27
In this paper, the effect of an externally applied uniform transverse magnetic field on pulsatile flow of blood containing particles through a rough thinwalled elastic tube has been studied. The inter...
A mathematical model of social group competition with application to the growth of religious non-affiliation
sociophysics networks religion perturbation theory
2010/12/28
When groups compete for members, the resulting dynamics of human social activity may be un-
derstandable with simple mathematical models. Here, we apply techniques from dynamical systems
and perturb...
Mathematical justification of spectral/covariance techniques: On the example of arc detection
arcing faults Fourier transform power spectrum
2010/9/13
Detecting arcing faults is an important but difficult-to-solve practical problem. Many existing methods of arc detection are based upon acquiring a signal that is proportional to current and then maki...
Mathematical expectation of probabilistic metric spaces and Banach fixed point theorem
Probabilistic metric space Mathematical expectation
2010/9/14
The purpose of this article is to study the mathematical expectation of probabilistic metric space and by using the method of mathematical expectation to study the fixed point theorem of Banach in the...
A mathematical approach to solve data envelopment analysis models when data are LR fuzzy numbers
Data envelopment analysis fuzzy mathematical programming
2010/9/15
data envelopment analysis is a linear programming methodologie that has been widely used to evaluate the performance of a set of decision-making units. It requires crisp input and output data. However...
A note on smoothing mathematical programs with equilibrium constraints
Mathematical programs with equilibrium constraints；smoothing approach
2010/9/15
Mathematical programs with equilibrium constrains (MPECs) in which the constraints are defined by a parametric variational inequality are considered. Recently, nonlinear programming solvers have been ...
A mathematical model to reproduce the wave field generated by convergent lenses
convergent lenses focal phenomena conformal mapping normed monoid
2009/1/9
Geometric optic gives a good approximation to obtain the focus generated by
convergent lenses in the case that their physical characteristics do not give aberrations.
However, some refractive device...
Mathematical models and numerical simulations for the P53 ¡Mdm2 network
delay di® erential equation p53 Mdm2
2009/1/4
Guardian of the genome, p53 gene, and its partners that form
the complex network involved in apoptosis and cell cycle arrest, is put
under investigation. Some relevant mathematical models are descri...
An avian influenza mathematical model
Avian influenza mathematical model stability analysis
2010/9/13
The present mathematical model deals with the dynamics of human infection by avian influenza both in birds and in humans. Stability analysis is carried out and the behaviour of the disease is illustra...
Global Convergence of a Modified SQP Method for Mathematical Programs With Inequalities and Equalities Constraints
Nonlinear Programs Inequalities and Equalities System Sequential quadratic programming
2008/7/1
When we solve an ordinary nonlinear programming problem by the most and popular sequential quadratic programming (SQP) method, one of the difficulties that we must overcome is to ensure the consistenc...
General mathematical frame for open or closed biomembranes: Stability theory based on differential operators
biomembranes stability theory stably permissible condition
2010/9/15
Based on a few differential operators and their integral theorems on curved surfaces, the second variations of the general potential functional and various geometric quantities defined on biomembranes...
A new mathematical model for a redundancy allocation problem with mixing components redundant and choice of redundancy strategies
Redundancy Allocation Problem Reliability Series-Parallel Systems
2010/9/16
This paper presents a new mathematical model of a redundancy allocation problem with mixing components redundant in subsystems of a series-parallel system when the redundancy strategy can be chosen fo...
The Aharonov-Bohm effect: Mathematical aspects of the quantum flow
Aharonov-Bohm effect complex potentials singularities
2010/9/15
This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The scattering is qualitati...