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Angiogenesis is a key process in the tumoral growth which allows the cancerous tissue to impact on its vasculature in order to improve the nutrient’s supply and the metastatic process. In this paper, ...
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...
Mafia (also called Werewolf) is a party game. The participants are divided into two competing groups: citizens and a mafia. The objective is to eliminate the opponent group. The game consists of two ...
In our paper arXiv: math.RA/0110333 v1 Oct 2001 we showed that the number of algebras defined by a binary operation satisfying a formally irreducible identity between two n-iterates is O e−n/16...
We introduce and analyze a phenomenological model for anti-angiogenic therapy in the treatment of metastatic cancers. It is a structured transport equation with a nonlocal boundary condition de-scrib...
Critical Point Theory in Mathematics and in Mathematical Physics。
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...
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...
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 ...
We construct a global bifurcation diagram of the plane differential system $$ {l} \dot x = x(1-x)-x y/(a+x^2), \dot y = y(\delta-\beta y/x), x(t)>0, y(t)>0, a>0, \delta>0, \beta>0, $$ which describes ...
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...
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...
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...
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...
The Applied Mathematical and Computational Sciences program is an interdisciplinary Ph.D. program in the Graduate College of the University of Iowa. It cooperates with the Departments of Mathematics, ...

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