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Estimation of Natural Gas Production, Import and Consumption in Brazil Based on Three Mathematical Models
Natural Gas Mathematical Modeling Logistic Model Exponential Model Model of Von Bertalanffy
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2013/3/8
A mathematical model capable of providing a forecast of future consumption and import of natural gas is essential for the planning of the Brazilian energy matrix. The aim of this study is to compare t...
C^{1,1} regularity for degenerate elliptic obstacle problems in mathematical finance
American-style option degenerate elliptic differential operator degenerate diffusion process free boundary problem Heston stochastic volatility process
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2012/6/21
The Heston stochastic volatility process is a degenerate diffusion process where the degeneracy in the diffusion coefficient is proportional to the square root of the distance to the boundary of the h...
Mathematical Modelling of Polarizing GTPases in Developing Axons
Mathematical Modelling of Polarizing GTPases Developing Axons Subcellular Processes
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2012/5/2
The aim of this paper is to contribute to the basic understanding of neuronal polarization mechanisms by developing and studying a reaction-diffusion model for protein activation and inactivation. In ...
A Mathematical Model for Estimating Biological Damage Caused by Radiation
cell density radiation protection radiation risk apoptosis mutation DNA repair mathematical model low-dose exposure irradiation rate Living object
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2012/4/20
We propose a mathematical model for estimating biological damage caused by low-dose irradiation. We understand that the Linear Non Threshold (LNT) hypothesis is realized only in the case of no recover...
A Parameter Estimation Model of G-CSF: Mathematical Model of Cyclical Neutropenia
FFT Modeling Cyclical Neutropenia Neutrophil G-CSF
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2013/1/30
We investigate the FFT (Fast Fourier Transform) model and G-CSF (granulocytecolony-stimulating factor) treatment of CN (Cyclical Neutropenia). We collect grey collies and normal dog!ˉs data from CN an...
Analysis of a mathematical model of syntrophic bacteria in a chemostat
Syntrophic relationship Mathematical modelling Coexistence Asymptotic stability Anaerobic digestion
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2011/9/23
Abstract: A mathematical model involving a syntrophic relationship between two populations of bacteria in a continuous culture is proposed. A detailed qualitative analysis is carried out. The local an...
The use of Grossone in Mathematical Programming and Operations Research
Linear Programming Simplex Method Nonlinear Programming Penalty Methods
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2011/9/22
Abstract: The concepts of infinity and infinitesimal in mathematics date back to anciens Greek and have always attracted great attention. Very recently, a new methodology has been proposed by Sergeyev...
Mathematical Modeling of Finite Quantum Systems
Finite Quantum Systems Quantum Physics High Energy Physics - Theory
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2011/10/10
Abstract: We consider the problem of quantum behavior in the finite background. Introduction of continuum or other infinities into physics leads only to technical complications without any need for th...
On some mathematical model of turbulent flow with intensive selfmixing
turbulent flow intensive selfmixing mathematical model
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2011/9/21
Abstract: Paper contains description of a new non laminar mathematical model of turbulent flow. Equations of the model are given and main conservation laws for this model are proven.
On the long-time behavior of some mathematical models for nematic liquid crystals
liquid crystals Navier-Stokes system omega-limit set
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2011/9/21
Abstract: A model describing the evolution of a liquid crystal substance in the nematic phase is investigated in terms of two basic state variables: the {\it velocity field} $\bu$ and the {\it directo...
Multiple steady states in a mathematical model for interactions between T cells and macrophages
mathematical model T cells and macrophages Cell Behavior
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2011/10/9
Abstract: The aim of this paper is to prove results about the existence and stability of multiple steady states in a system of ordinary differential equations introduced by R. Lev Bar-Or to model the ...
A Mathematical model for Astrocytes mediated LTP at Single Hippocampal Synapses
Mathematical model Astrocytes LTP Hippocampal Synapses
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2011/10/9
Abstract: Many contemporary studies have shown that astrocytes play a significant role in modulating both short and long form of synaptic plasticity. There are very few experimental models which eluci...
mizar-items: Exploring fine-grained dependencies in the Mizar Mathematical Library
Mizar Mathematical Library mizar-items Digital Libraries
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2011/10/9
Abstract: The Mizar Mathematical Library (MML) is a rich database of formalized mathematical proofs (see this http URL). Owing to its large size (it contains more than 1100 "articles" summing to nearl...
On the Mathematical Nature of Guseinov's Rearranged One-Range Addition Theorems for Slater-Type Functions
Slater-type function Addition theorem Laguerre expansion Power series
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2011/9/19
Abstract: Starting from one-range addition theorems for Slater-type functions, which are expansion in terms of complete and orthonormal functions based on the generalized Laguerre polynomials, Guseino...
On the Mathematical Nature of Guseinov's Rearranged One-Range Addition Theorems for Slater-Type Functions
Slater-type function Addition theorem Laguerre expansion Power series
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2011/8/18
Abstract: Starting from one-range addition theorems for Slater-type functions, which are expansion in terms of complete and orthonormal functions based on the generalized Laguerre polynomials, Guseino...