A new, region-based mathematical model of the urine concentrating mechanism of the rat renal medulla was used to investigate the significance of transport and structural properties revealed in anatomic studies.
A. Layton
semanticscholar +1 more source
Equivalence of the modified Villain formulation and the dual Hamiltonian method in the duality of the XY-plaquette model [PDF]
Regarding the duality of the XY-plaquette model in the $2+1d$ system, We compared and discussed the equivalence and difference between the modified Villain formulation, recently introduced by Gorantla et al. to study duality in exotic field theories such as fracton theory, and the standard Villain formulation and dual Hamiltonian method we introduced ...
arxiv
Medical Image Denoising by Improved Kuan Filter
This paper focuses on the issue of speckle noise and its suppression. Firstly, the multiplicative speckle noise model and its mathematical formulation are introduced. Then, certain de-noising methods are described together with possible improvements.
Radek Benes, Kamil Riha
doaj +1 more source
Coupling Nonlinear Sigma-Matter to Yang-Mills Fields: Symmetry Breaking Patterns [PDF]
We extend the traditional formulation of Gauge Field Theory by incorporating the (non-Abelian) gauge group parameters (traditionally simple spectators) as new dynamical (nonlinear-sigma-model-type) fields.
Aldaya V+9 more
core +5 more sources
Obtaining the Gauge Invariant Kinetic Term for a SU(n)$_U$ x SU(m)$_V$ Lagrangian [PDF]
We propose a generalized way to formally obtain the gauge invariance of the kinetic part of a field Lagrangian over which a gauge transformation ruled by an $SU(n)_{U} \otimes SU(m)_{V}$ coupling symmetry is applied. As an illustrative example, we employ such a formal construction for reproducing the standard model Lagrangian.
arxiv +1 more source
Finite Pseudo-Riemannian Spectral Triples and The Standard Model [PDF]
Starting from the formulation of pseudo-Riemannian generalisation of real spectral triples we develop the data of geometries over finite-dimensional algebras with indefinite metric and their Riemannian parts. We then discuss the Standard Model spectral triple in this formalism and interpret the physical symmetry preserving the lepton number as a shadow
arxiv +1 more source
The problem of the spreading of a liquid film along a solid surface: a new mathematical formulation.
A new mathematical model is proposed for the spreading of a liquid film on a solid surface. The model is based on the standard lubrication approximation for gently sloping films (with the no-slip condition for the fluid at the solid surface) in the major
G. I. Barenblatt, E. Beretta, M. Bertsch
semanticscholar +1 more source
Inhomogeneous finitely-strained thermoplasticity with hardening by an Eulerian approach [PDF]
A standard elasto-plasto-dynamic model at finite strains based on the Lie-Liu-Kr\"oner multiplicative decomposition, formulated in rates, is here enhanced to cope with spatially inhomogeneous materials by using the reference (called also return) mapping. Also an isotropic hardening can be involved.
arxiv
Sustainability-driven model for predicting compressive strength in concrete structures
Over the past few decades, enhancing the sustainability of concrete structures has become a worldwide necessity. This study proposes a mathematical model for predicting compressive strength (CS), aiming to further the objective of designing sustainable ...
Fayez Moutassem, Mohamad Kharseh
doaj +1 more source
Modelling rapid mass movements using the shallow water equations in Cartesian coordinates [PDF]
We propose a new method to model rapid mass movements on complex topography using the shallow water equations in Cartesian coordinates. These equations are the widely used standard approximation for the flow of water in rivers and shallow lakes, but the ...
S. Hergarten, J. Robl
doaj +1 more source