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Statistical approaches for the analysis of dependency among neurons under noise
(MDPI, 2020)
Neuronal noise is a major factor affecting the communication between coupled neurons. In this work, we propose a statistical toolset to infer the coupling between two neurons under noise. We estimate these statistical ...
A novel nonlinear dynamic model describing the spread of virus
(MDPI, 2023)
This study proposes a nonlinear mathematical model of virus transmission. The interaction
between viruses and immune cells is investigated using phase-space analysis. Specifically, the work
focuses on the dynamics and ...
On a non-riemannian quantity of (α,β)-metrics
(Sigma Journal of Engineering and Natural Sciences, 2024)
In this paper, we study a non-Riemannian quantity χ-curvature of (α, β)-metrics, a
special class of Finsler metrics with Riemannian metric α and a 1-form β . We prove
that every (α, β)-metric has a vanishing χ-curvature ...
On focal curves of null Cartan curves
(Turkish Journal of Mathematics, 2017)
The focal curve, which is determined as the locus of centers of osculating pseudo-spheres of a null Cartan curve, is investigated in Minkowski (n+2)-space Mn+2. Moreover, a curve called acceleration focal curve of a null ...
A pilot study of ion current estimation by ANN from action potential waveforms
(Journal of Biological Physics, 2022)
Experiments using conventional experimental approaches to capture the dynamics of ion
channels are not always feasible, and even when possible and feasible, some can be timeconsuming. In this work, the ionic current–time ...
Regularity properties of nonlocal fractional differential equations and applications
(Georgian Mathematical Journal, 2022)
The regularity properties of nonlocal fractional elliptic and parabolic equations in vector-valued Besov spaces are studied. The uniform Bsp,q -separability properties and sharp resolvent estimates are obtained for abstract ...
Stability features of the dynamical system emerging in the model of the cancer growth
(2023)
In this paper, we studied phase-space analysis of a certain mathematical model of tumor growth with an immune responses and chemotherapy therapy. Mathematical modeling of this process is viewed as a potentially powerful ...
Quality properties of multipoint problem for Schrodinger equations and applications
(International Mathematical Conference on Functional Analysis in Interdisciplinary Applications 2023 (FAIA 2023), 2023)
Investigation of the effects of IMPULS Maturity model with a simulation-based analysis
(10th International Symposium onIntelligent Manufacturing and Service Systems, 2019)
Industry 4.0 enables to produce products that are complex in production in a short time and in high quality by entering factories and making our production environments smarter. Industry 4.0 is defined as the digitization ...
The nonlinear dynamics a cancer tumor growth model and application
(11th International Summit Scientific Research Congress, 2023)
In this talk, mathematical analysis of the model equations with multipoint condition, regarding dissipativity, boundedness of solutions, invariance of non-negativity, nature of equilibria, local and global stability have ...












