Department of Mathematics and Statistics
Work by the faculty and students of the Department of Mathematics and Statistics
Recent Submissions
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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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 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 ... -
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. ... -
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 ... -
Graph of Linear Transformations Over R
(Springer, 2022-12-01)In this paper, we study a connection between graph theory and linear transformations of finite dimensional vector spaces over R (the set of all real numbers). Let Rm, Rn be finite vector spaces over R, and let L be the set ... -
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 ... -
Fractional Integrodifferentiation and Toeplitz Operators with Vertical Symbols
(Birkhäuser, 2020)We consider the so-called vertical Toeplitz operators on the weighted Bergman space over the half plane. The terminology “vertical” is motivated by the fact that if a is a symbol of such Toeplitz operator, then a(z) depends ... -
On the powers of quasihomogeneous Toeplitz operators
(Springer, 2021)In this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem ... -
A Numerical Investigation of the Buckling of Doubly Clamped Nano-Actuators Governed by an Integro-Differential Equation
(Springer, 2022)In this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem ... -
On 1-absorbing primary ideals of commutative rings
(World Scientific, 2019-04-30)Let R be a commutative ring with nonzero identity. In this paper, we introduce the concept of 1-absorbing primary ideals in commutative rings. A proper ideal I of R is called a 1-absorbing primary ideal of R if whenever ... -
On Weakly 1-Absorbing Primary Ideals of Commutative Rings
(World Scientific, 2022)Let R be a commutative ring with 1 ≠ 0. In this paper, we introduce the concept of weakly 1-absorbing primary ideal which is a generalization of 1-absorbing primary ideal. A proper ideal I of R is called a weakly 1-absorbing ... -
On n-semiprimary ideals and n-pseudo valuation domains
(Taylor and Francis, 2020-08-14) -
The n-zero-divisor graph of a commutative semigroup
(Taylor and Francis, 2022-04-16)Let S be a (multiplicative) commutative semigroup with 0, Z(S) the set of zero-divisors of S, and n a positive integer. The zero-divisor graph of S is the (simple) graph Γ(S) with vertices Z(S) ∗ = Z(S) \ {0}, and distinct ... -
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. ...