Browsing Department of Mathematics and Statistics by College/Dept "American University of Sharjah"
Now showing items 1-16 of 16
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Assessing test suites of extended finite state machines against model and code based faults
(John Wiley & Sons, 2021)Tests can be derived from extended finite state machine (EFSM) specifications considering the coverage of single-transfer faults, all transitions using a transition tour, all-uses, edge-pair, and prime path with side trip. ... -
Effects of mechano-electrical feedback on the onset of alternans: A computational study
(AIP, 2019-06)Cardiac alternans is a heart rhythm instability that is associated with cardiac arrhythmias and may lead to sudden cardiac death. The onset of this instability, which is linked to period-doubling bifurcation and may be a ... -
Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue
(Elsevier, 2022-04)Electrocardiology models are nonlinear reaction–diffusion type systems, where the numerical simulation requires extremely fine meshes to accurately compute the heart’s electrical activity. Anisotropic mesh adaptation methods ... -
Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model
(Elsevier, 2021-01)It is well known that numerical simulations of the cardiac monodomain model require fine mesh resolution, which increases the computational resources required. In this paper, we construct three operator-splitting alternating ... -
Embedding and global stability in periodic 2-dimensional maps of mixed monotonicity
(Elsevier, 2022-02)In this paper, we consider nonautonomous second order difference equations of the form xn+1 = F(n, xn, xn−1), where F is p-periodic in its first component, non-decreasing in its second component and non-increasing in its ... -
Joshi’s Split Tree for Option Pricing
(MDPI, 2020)In a thorough study of binomial trees, Joshi introduced the split tree as a two-phase binomial tree designed to minimize oscillations, and demonstrated empirically its outstanding performance when applied to pricing American ... -
Liposomal Encapsulation of Chemotherapeutics Agents Combined with the Use of Ultrasound in Cancer Treatment
(American Scientific Publishers, 2023-07)Ultrasound (US) has numerous uses in the medical field, including imaging, tumor ablation, and lithotripsy; another interesting application of US in cancer therapy is as an external trigger in targeted drug delivery. ... -
Maximum principles and overdetermined problems for Hessian equations
(ISTE Group, 2021)In this article we investigate some Hessian type equations. Our main aim is to derive new maximum principles for some suitable P-functions, in the sense of L.E. Payne, that is for some appropriate functional combinations ... -
A mixed finite element method for nonlinear radiation–conduction equations in optically thick anisotropic media
(Elsevier, 2023-09)We propose a new mixed finite element formulation for solving radiation–conduction heat transfer in optically thick anisotropic media. At this optical regime, the integro-differential equations for radiative transfer can ... -
Modeling of the In Vitro Release Kinetics of Sonosensitive Targeted Liposomes
(MDPI, 2022-12-05)Targeted liposomes triggered by ultrasound are a promising drug delivery system as they potentially improve the clinical outcomes of chemotherapy while reducing associated side effects. In this work, a comprehensive model ... -
Numerical modelling of hyperbolic phase change problems: Application to continuous casting
(Elsevier, 2023-03)Heat diffusion processes are generally modeled based on Fourier’s law to estimate how the temperature propagates inside a body. This type of modeling leads to a parabolic partial differential equation, which predicts an ... -
A projection scheme for phase change problems with convection
(Elseiver, 2022-01)Numerical modeling of phase change problems with convection is known to be computationally expensive. The main challenge comes from the coupling between Navier–Stokes and heat energy equations. In this paper, we develop a ... -
Ramsey numbers of partial order graphs (comparability graphs) and implications in ring theory
(De Gruyter, 2020)For a partially ordered set(A, ≤), letGA be the simple, undirected graph with vertex set A such that two vertices a ≠ ∈ b A are adjacent if either a ≤ b or b a ≤ . We call GA the partial order graph or comparability graph ... -
The role of vigilance on a discrete-time predator-prey model
(American Institute of Mathematical Sciences, 2022)The change of behaviors of prey in the form of vigilance significantly affects the dynamics of a predator-prey system. In this paper, we consider a discrete-time predator-prey model, where the vigilance of prey acts as a ... -
A Simulation Study of the Role of Mechanical Stretch in Arrhythmogenesis during Cardiac Alternans
(Biophysical Society, 2021-01)The deformation of the heart tissue due to the contraction can modulate the excitation, a phenomenon referred to as mechanoelectrical feedback (MEF), via stretch-activated channels. The effects of MEF on the electrophysiology ... -
Weighted multimodal family of distributions with sine and cosine weight functions
(Cell Press, 2020)In this paper, the moment of various types of sine and cosine functions are derived for any random variable. For an arbitrary even probability density function, the sine and cosine moments are used to define new families ...