Toplam kayıt 68, listelenen: 28-47

    • The Lp -regularity properties of nonlocal wave equations and applications 

      Shakhmurov, Veli (International Journal of Mathematics, 2022)
      In this paper, the Cauchy problem for linear and nonlinear wave equations is studied. The equation involves abstract operator A in a Banach space E and convolution terms. Here, assuming enough smoothness on the initial ...
    • Mathematical model of the ventricular action potential and effects of isoproterenol-induced cardiac hypertrophy in rats 

      Şengül Ayan, Sevgi; Sırcan, Ahmet K.; Abewa, Mohamedou; Kurt, Ahmet; Dalaman, Uğur; Yaraş, Nazmi (European Biophysics Journal, 2020)
      Mathematical action potential (AP) modeling is a well-established but still-developing area of research to better understand physiological and pathological processes. In particular, changes in AP mechanisms in the isoproterenol ...
    • Mazeret/telafi sınavı çizelgeleme problemi için bir hedef programlama modeli 

      Saraç, Tuğba; Özçelik, Feristah; Erdoğan Akbulut, Hatice (Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 2020)
      Üniversitelerde ve diğer eğitim kurumlarında, sınav çakışması, sağlık problemleri vb. nedenlerle planlanan sınav dönemlerinde sınava giremeyen öğrencilere mazeret/telafi sınavları yapılmaktadır. Özellikle bu sınavlara ...
    • Model nöronların elektrokimyasal enerji tüketiminin diferansiyel denklem sistemleri kullanılarak incelenmesi 

      Şengül Ayan, Sevgi (2. Uluslararası Bilimsel Araştırmalar ve Yenilikçi Çalışmalar Sempozyumu, 2022)
      Nöronlar tarafından aksiyon potansiyeli üretimi, enerji gerektiren yoğun bir süreçtir ve nöronların sinyal iletim aktivitesini korumak için ne kadar metabolik enerjinin gerekli olduğunu belirlemek, oldukça pratik öneme ...
    • Modeling and analyzing Ca2+ channel dynamics during cardiac action potential 

      Şengül Ayan, Sevgi; Sırcan, Ahmet K.; Kurt, Ahmet; Özdoğan, Hasan (International Conference on Applied Analysis and Mathematical Modeling, 2019)
      We have studied the cardiac action potential model which consists of 26 nonlinear first-order differential equations in a detailed manner computationally. Later, it has been discussed what is the role of the Ca2+ ion channel ...
    • Neurocognitive responses to spatial design behaviors and tools among interior architecture students: a pilot study 

      Şekerci, Yaren; Kahraman, Mehmet Uğur; Özturan, Özgü; Çelik, Ertuğrul; Şengül Ayan, Sevgi (2024)
      The impact of emotions on human behavior is substantial, and the ability to recognize people’s feelings has a wide range of practical applications including education. Here, the methods and tools of education are being ...
    • The nonlinear dynamics a cancer tumor growth model and application 

      Sahmurova, Aida; Shakhmurov, Veli (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 ...
    • Nonlocal abstract Stokes equations and applications 

      Shakhmurov, Veli (9th International Congress of Fundamental and Applied Sciences (ICFAS 2022), 2022)
      In this talk, the Cauchy problem for the stationary and instationary nonlocal imcompressible abstract Stokes equations are considered. The equation involve the the convolution term and abstract operator in a Banach space ...
    • Nonlocal fractional elliptic equations and applications 

      Shakhmurov, Veli; Kurulay, Muhammet (Numerical Methods for Partial Differential Equations, 2022)
      The Lp-coercive properties of a nonlocal fractional ellip tic equation is studied. Particularly, it is proved that the fractional elliptic operator generated by this equation is sec torial in Lp space and also is a generator ...
    • A novel nonlinear dynamic model describing the spread of virus 

      Shakhmurov, Veli; Kurulay, Muhammet; Sahmurova, Aida; Gürsesli, Mustafa Can; Lanata, Antonio (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 class of Ricci quadratic Finsler metrics 

      Gabrani, Mehran; Sengelen Sevim, Esra; Ülgen, Semail (4th International Conference on Applied Engineering and Natural Sciences, 2022)
      In this paper, we study a class of Finsler warped product metrics with quadratic Ricci curvature. This class is characterized by a partial differential equation. In particular, we obtain a special class of Finsler warped ...
    • On a non-Riemannian quantity of (α, β)-metrics 

      Ülgen, Semail (Sigma Journal of Engineering and Natural Sciences, 2022)
      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 conformal curves in 2-dimensional de sitter space 

      Şimşek, Hakan; Özdemir, Mustafa (Advances in Applied Clifford Algebras, 2016)
      In this paper, we examine the pseudo-spherical curves, which are equivalent to each other under the conformal maps preserving a fixed point in the de Sitter 2-space, by using the Clifford algebra Cl 2,1. Also, we find the ...
    • On Einstein Finsler metrics 

      Ülgen, Semail; Sevim, Esra Sengelen; Hacinliyan, İrma (World Scientific Publishing Company, 2021)
      In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain ...
    • On focal curves of null Cartan curves 

      Şimşek, Hakan (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 ...
    • On Ricci-quadratic Finsler metrics 

      Sengelen Sevim, Esra; Shen, Zhongmin; Ülgen, Semail (4th International Conference on Applied Engineering and Natural Sciences, 2022)
      In this paper, the Ricci curvature is defined for sprays on a manifold and every spray with a volume form on a manifold can be deformed to a projective spray. The quadratic Ricci curvature of a projective spray is called ...
    • On some Ricci curvature tensors in Finsler geometry 

      Sengelen Sevim, Esra; Shen, Zhongmin; Ülgen, Semail (4th International Conference on Applied Engineering and Natural Sciences, 2022)
      In this paper we discuss several Ricci curvature tensors and their relationship with the Ricci curvature and some non-Riemannian quantities. By these Ricci curvature tensors, we shall have a better understanding on the ...
    • On the eigenvalues and eigenvectors of a lorentzian rotation matrix by using split quaternions 

      Özdemir, Mustafa; Erdoğdu, Melek; Şimşek, Hakan (Advances in Applied Clifford Algebras, 2014)
      In this paper, we examine eigenvalue problem of a rotation matrix in Minkowski 3 space by using split quaternions. We express the eigenvalues and the eigenvectors of a rotation matrix in term of the coefficients of the ...
    • Optimizing bus lines using genetic algorithm for public transportation 

      Batuhan, Bulut; Günay, Melih; Özgün, Kamer; Ledet, Joseph (The 6th International Conference on Smart City Applications, 2021)
      Due to increasing human population, the need for quality public transportation has also increased. This study takes stop density, stop layout, and passenger population of those stops into consideration to offer a better ...