In this article, a new version of the generalized F-expansion method is proposed enabling to obtain exact solutions Biswas-Arshed equation and Boussinesq defined by Atangana’s beta-derivative. First, introduced, then, nonlinear fractional differential equations expressed with beta-derivative are given. When results examined, it seen that single, combined, mixed Jacobi elliptic function obtained...

Isolates of mesenchymal stromal cells (MSCs) contain a mixed cell population of stem cells, multipotent and unipotent progenitors, and differentiated cells. It is speculated that the useful subpopulation for tissue engineering and cell therapy will be the multipotent progenitor cells or the stem cells. The colony forming unit-fibroblast (CFU-F) assay is an in vitro assay for clonogenicity, whic...

A Fibonacci expansion of a nonnegative integer n is an expression of n as a sum of Fibonacci numbers Fk with k > 2. It may be thought of as a partition of n into Fibonacci parts. The most commonly studied such expansion is the unique one in which the parts are all distinct and no two consecutive Fibonacci numbers appear. C. G. Lekkerkerker first showed this expansion was unique in 1952 [5]. The...

SPA-1 (signal-induced proliferation associated gene-1) functions as a suppressor of myeloid leukemia by negatively regulating Rap1 signaling in hematopoietic progenitor cells (HPCs). Herein, we showed that transplantation of HPCs expressing farnesylated C3G (C3G-F), a Rap1 guanine nucleotide exchange factor, resulted in a marked expansion of thymocytes bearing unique phenotypes (CD4/CD8 double ...

Series representations of the form f(f)-IE 2 a,,kv(t-n)e2n'k' for bounded signals f(t) are studied, as are conditions on the unit function v(r), such that the coefficients a,, k reveal the energy content of f(t) in the time interval n-(l/2) < t I n +(1/2) and frequency interval 2m(k-(l/2)) I w I 2n(k +(1/2)). These conditions turn out to he 1) orthogonal&y, i.e., if n=k=O otherwise and 2) integ...

Many verification algorithms use an expansion f(x) ∈ f(x̃) + S · (x−x̃), f : Rn → Rn for x ∈ X, where the set of matrices S is usually computed as a gradient or by means of slopes. In the following, an expansion scheme is described which frequently yields sharper inclusions for S. This allows also to compute sharper inclusions for the range of f over a domain. Roughly speaking, f has to be given ...

Cell movement and cytokinesis are facilitated by contractile forces generated by the molecular motor, non-muscle myosin II (NMII). NMII molecules form a filament (NMII-F) through interactions of their C-terminal rod domains, positioning groups of N-terminal motor domains on opposite sides. The NMII motors then bind and pull actin filaments toward the NMII-F, thus driving contraction. Inside of ...

We show here using time-lapse video tapes that cytoplasmic streaming causes nuclear migration along the anterior-posterior axis (axial expansion) in the early syncytial embryo of Drosophila melanogaster. Using confocal microscopy and labeled phalloidin we explore the distribution of F-actin during axial expansion. We find that a network of F-actin fibers fills the cytoplasm in the embryo. This ...