Objective(s):Breast cancer is an important leading cause of death from cancer. Stathmin and tau proteins are regulators of cell motility, and their overexpression is associated with the progression and bad prognosis of breast cancer. Memantine, an N-methyl-D-aspartate (NMDA) receptor antagonist, is the potential inhibitor of tau protein in neurons. This study determines the effect of memantine ...

Objective(s):Alzheimer's disease (AD) is the most common age-related neurodegenerative disorder. One of the hallmarks of AD is an abnormal accumulation of fibril forms of tau protein which is known as a microtubule associated protein. In this regard, inhibition of tau aggregation has been documented to be a potent therapeutic approach in AD and tauopathies. Unfortunately, the available syntheti...

Lactation is under homeostatic control, and sustained milk stasis or weaning leads to mammary gland involution. This transition is under the control of systemic and local factors. Of all the phases of mammary gland development, involution is the least well understood. Recent epidemiological observations suggest that involution events promote breast diseases, including breast cancer. This has re...

We study k-Schur functions characterized by k-tableaux, proving combinatorial properties such as a k-Pieri rule and a k-conjugation. This new approach relies on developing the theory of k-tableaux, and includes the introduction of a weight-permuting involution on these tableaux that generalizes the Bender-Knuth involution. This work lays the groundwork needed to prove that the set of k-Schur Li...

This paper considers Darboux transformations of a bispectral operator which preserve its bispectrality. A sufficient condition for this to occur is given, and applied to the case of generalized Airy operators of arbitrary order r > 1. As a result, the bispectrality of a large family of algebras of rank r is demonstrated. An involution on these algebras is exhibited which exchanges the role of s...

The involutory dimension, if it exists, of an involution poset P := (P,≤,′ ) is the minimum cardinality of a family of linear extensions of ≤, involutory with respect to ′, whose intersection is the ordering ≤. We show that the involutory dimension of an involution poset exists iff any pair of isotropic elements are orthogonal. Some characterizations of the involutory dimension of such posets a...

A nonlocal analogue of the biharmonic operator with involution-type transformations was considered. For corresponding equation involution, we investigated solvability boundary value problems a fractional-order having derivative Hadamard-type. First, involution type were The properties matrices these investigated. As applications considered transformations, questions about problem for studied. M...

In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$  is investigated. Some new positive periodic criteria are given.  

The hermitian level of composition algebras with involution over a ring is studied. In particular, it is shown that the hermitian level of a composition algebra with standard involution over a semilocal ring, where two is invertible, is always a power of two when finite. Furthermore, any power of two can occur as the hermitian level of a composition algebra with nonstandard involution. Some bou...