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The Dynamics Of HPV Infection and Cervical Cancer Cells in the presence of Immune Response We develop a mathematical model based on the modification of Tri Noor et al model to firm our understanding on the progression of cervical cells... more
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    • Computational and Mathematical Modeling
The Dynamics Of HPV Infection and Cervical Cancer Cells in the presence of Immune Response We develop a mathematical model based on the modification of Tri Noor et al model to firm our understanding on the progression of cervical cells... more
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We develop a mathematical model based on the modification of Tri Noor et al model to firm our understanding on the progression of cervical cells from normal cells to invasive cancer cells after infection by the Human Papillomavirus (HPV).... more
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The Dynamics Of HPV Infection and Cervical Cancer Cells in the presence of Immune Response We develop a mathematical model based on the modification of Tri Noor et al model to firm our understanding on the progression of cervical cells... more
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Using Raman microscopy, we investigated epithelial cervical cells collected from 96 women with squamous cell carcinoma (SCC) or belonging to groups I, IIa, IIID-1 and IIID-2 according to Munich III classification (IIID-1 and IIID-2... more
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      BiologyMedicineMathematical ConceptsPapillomavirus Infections
A new treatment of second-order self-similarity and asymptotic self-similarity for stationary discrete time series is given, based on the fixed points of a renormalisation operator with normalisation factors which are not assumed to be... more
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      Applied MathematicsStatisticsApplied ProbabilityFixed Point Theory
Hamel's celebrated paper is recalled on the centenary of its publication. Then the concept of Hamel basis is applied for the discussion of a recent problem of the American Mathematical Monthly.
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    • Pure Mathematics
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    • Pure Mathematics
1991 Mathematics Subject Classification. 39B82, 39B72.
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    • Pure Mathematics
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    • Pure Mathematics
In this paper, by using the ideas of the second author, we establish several intimate connections among the most simple infimum and supremum completeness properties of a generalized ordered set. That is, an arbitrary set equipped with an... more
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We give some sufficient conditions in order that the intersection convolution F * G of two relations F and G on a groupoid X be reflexive, transitive, symmetric, and anti-symmetric.
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      PsychologyCognitive ScienceApplied MathematicsMathematical Psychology
The well-known Takagi function T (x) = ∞ k=0 2 −k dist(x, Z) plays a crucial role in the theory of approximately convex functions. In order to establish the sharpness of some Bernstein-Doetsch type results for approximate convexity, we... more
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      Applied MathematicsPure MathematicsMathematical Inequalities and Applications
Representation of real or complex numbers in algebraic number systems has been investigated by several authors ([KaKor], [KaSz], [Kov], [KovMa]). A decision algorithm for this problem is presented in [KaKor], where the authors give an... more
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The discontinuous monomial functions with connected graph are characterized, and this result is used to prove that the graph of a discontinuous n-monomial function f : R → R is either connected or totally disconnected.
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      Functional Equations and InequalitiesContemporary Mathematics
By introducing an appropriate notion of generalized semiinner products on groupoids, we shall prove a simple equality which can be used to easily derive some generalized forms of the famous Schwarz inequality. In the case of groups, these... more
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A real function is called strongly $\mathbb{Q}$-dif\-fer\-en\-ti\-able if, for every real number $ h \,$, the limit of the ratio $ \left( f(x+rh) - f(x) \right) / r $ exists whenever $x$ tends to any fixed real number and $r$ tends to... more
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In this paper we prove that if a real function f satisfies the inequality [x 0 ,x 1 ,... ,x n+1 ; f ] +ϕ(x n+1 −x 0) 0 for all x 0 < x 1 < ... < x n < x n+1 with some fixed positive integer n and nonnegative function ϕ fulfilling lim h→0+... more
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      Applied MathematicsPure MathematicsMathematical Inequalities and Applications