Research works

A probabilistic approach to portfolio selection with risk-aversion coefficients estimated via logistic regression

This work presents a probabilistic risk-aversion approach to portfolio selection that combines a logistic regression-based risk assessment framework with a mixed-integer optimization algorithm with mean semi-absolute deviation (MSAD) as the risk criterion. It allows us to incorpo...

Mathematical model on the effect of primary and secondary toxicants on a biological species: occurrence of deformity

In this paper, a mathematical model is proposed and analyzed to study the effect of primary and secondary toxicants on a biological species. Here, we consider a situation that after-effect of the primary and secondary toxicants a subclass of biological species shows deformity as...

A new numerical computational method for solving nonhomogeneous time-fractional nonlinear parabolic problems in unbounded domains

‎ This paper addresses the numerical solution of nonhomogeneous time-fractional nonlinear parabolic problems defined on unbounded domains‎, ‎where challenges arise due to temporal nonlocality‎, ‎nonlinear dynamics‎, ‎and the infinite spatial extent‎. ‎To overcome these difficulti...

Inverse eigenvalue problems for composite banded tridiagonal matrices: symmetric and nonsymmetric cases

We study an inverse eigenvalue problem associated with a special class of structured matrices in both symmetric and nonsymmetric forms. In the symmetric case, the problem involves two sets of eigenpairs corresponding to the original matrix and its leading principal submatrix of o...

Barycentric rational interpolation method for fractional-order differential equation model of HIV infection of CD4$^+$T-cells

In this work we study of HIV infection dynamics through fractional-order differential equations (FDEs) that gained significant attention due to its ability to model complex biological processes with greater accuracy. The fractional-order models provide a more flexible framework b...

Robust stochastic gradient descent for linearly constrained problems via adaptive barrier amplification

Methods based on Stochastic Gradient Descent using relaxed barrier functions provide a powerful framework for linearly constrained optimization but often suffer from sensitivity to hyperparameter settings and slow recovery from infeasible regions. Our investigation reveals that t...

Analysis of the mathematical model’s stability describing the prevalence of obesity and its role in diabetes

We propose a continuous-time dynamic epidemiological model that describes the prevalence of obesity in a population and examines the relationship between weight gain and the development of diabetes‎, ‎particularly type~2 diabetes‎. We investigate both the local and global stabili...

Analysis of 2D Burger's equation using numerical and semi-analytic techniques

The effect of advective and diffusive components are studied using the 2D Burgers’ equation. The diffusive term is influenced by the Reynolds number. Spatial discretization is performed using radial basis collocation, while the temporal direction is discretized using $4^{th}$ Run...

Tension spline-quasilinearization scheme for generalized nonlinear time-fractional convection-diffusion equations

This article presents an efficient numerical technique based on non-polynomial tension spline for solving generalized nonlinear time fractional convection-diffusion equation with polynomial nonlinear convection terms. The proposed method uses non-polynomial tension spline spatial...

A fitted numerical technique for a class of singularly perturbed delay differential equations

This paper examines the applicability of a new exponentially fitted scheme on Shishkin mesh for solving a class of singularly perturbed problems in ordinary differential equations containing a small delayed term. The original delayed problem is reduced to an equivalent new proble...

Comparative semi-analytical solutions of Caputo time-fractional Fokker–Planck equations via Laplace transform–based decomposition and iterative methods

In this study, the Laplace Adomian Decomposition Method (LADM) and the Laplace Variational Iteration Method (LVIM) are employed to obtain approximate analytical solutions for both linear and nonlinear time-fractional Fokker-Planck equations (TFFPEs). These methods combine the Lap...

Adaptive-batch stochastic gradient descent for constrained optimization based on relaxed barrier functions

Stochastic Gradient Descent (SGD) is the cornerstone of large-scale optimization; however, its application to problems with a vast number of constraints remains a significant challenge. Methods based on relaxed logarithmic barrier functions have enabled the use of SGD by sampling...

Intermittent fasting in diabetic retinopathy: microbiome modulation, mechanisms, and clinical insights.

Intermittent fasting, a nonpharmacological approach, shows promise for controlling diabetic retinopathy but lacks concrete human evidence directly associating intermittent fasting with eye responses. This review highlights preclinical research insights about intermittent fasting...

The effect of network degree on bargaining:Experimental evidence from the field

We conduct an artefactual field experiment in real-existing trade networks to analyze how individual network degree affects bargaining demands and outcomes. We combine data from a bilateral bargaining experiment with data of trade networks in 24 villages in Uganda. To identify th...

Diversity, Equity, and Inclusion in Plastic Surgery in 2026: An Updated Review and New Recommendations.

BACKGROUND: The June 2023 Supreme Court decision against affirmative action and the November 2024 US election impacted American universities and companies nationwide, many of which have ended their diversity, equity, inclusion (DEI) programs. This review was undertaken to assess...

Loss of Twist impairs tentacle development and induces epithelial neoplasia in the sea anemone Nematostella vectensis.

Appendages are key features of the body plans of arthropods and vertebrates, yet little is known about appendage formation outside of bilaterians. Here, we investigate the molecular regulation underlying the formation of tentacles, the appendages in cnidarians. We find that the b...

Reconstruction-informed and multidomain deep learning for generalizable CT-free attenuation correction in SPECT myocardial perfusion imaging.

Purpose Deep learning (DL) has shown promise in enabling attenuation correction (AC) for SPECT myocardial perfusion imaging (MPI) without relying on anatomical information or CT-derived attenuation maps (ATMs). We introduce a novel reconstruction-informed and multidomain (RIMD) D...

Cerebellar Atrophy in Pediatric-Onset Opsoclonus-Myoclonus-Ataxia Syndrome: A Large International Cohort Study.

Background And Objectives Pediatric-onset opsoclonus-myoclonus-ataxia syndrome (POOMAS) is a rare, neuroinflammatory syndrome that targets the cerebellum and can cause irreversible cerebellar structural changes, namely cerebellar atrophy. We investigated the frequency of cerebell...

Contrastive Discrepancy: A label-free metric for deformable image registration supporting testing-time hyperparameter selection.

Deformable image registration (DIR) proves critical to many medical image analysis tasks, yet its reliable evaluation is fundamentally challenged by the absence of ground-truth deformations. Existing label-based metrics require costly manual annotations, while current label-free...

ER stress promoted MAMs formation and ER-Mito Ca2+ transfer: implication for fluoride-induced hippocampal neuronal injury and cognitive deficits in mice.

transfer via the IP3R1/Grp75/VDAC1 complex and provided a potential therapeutic target for the treatment of fluoride-associated neurotoxicity and neurobehavioral disorders.