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The differentiation and screening methodology proposed
here is an efficient in vitro system
to screen and study effects of small molecules and bioagents and is an
alternative to studies that use live animals and embryos. The method is based
on engineering a stable murine embryonic stem (ES) cell line expressing lineage-specific
promoters that drive selection and reporter genes. Additionally, uniform
embryoid bodies (EBs) are used for differentiation studies that allow
synchronous differentiation. The reporter and selection marker genes are
expressed only in lineages where the promoter is functional. The differentiated
cell type can be identified by reporter gene expression and the selection
marker can be used for selective enrichment of that particular cell population.
The method described here is useful in screening small molecules or bioagents
that can differentiate stem cells into particular lineages or cell types.
Identified compounds are useful in areas such as stem cell-based regenerative
medicine and therapeutics. The method described here has been applied to
neuronal cell differentiation.
This research paper deals with the boundary and initial value problems for the Bratu-type model by using the New Improved Variational Homotopy Perturbation Method. The New Method does not require discritization, linearization or any restrictive assumption of any form in providing analytical or approximate solutions to linear and nonlinear equation without the integral related with nonlinear term. Theses virtues make it to be reliable and its efficiency is demonstrated with numerical examples.
In this work, the reducibility of
quasi-periodic systems with strong parametric excitation is studied. We first
applied a special case of
Lyapunov-Perron (L-P) transformation for time periodic system known as the Lyapunov-Floquet (L-F) transformation to
generate a dynamically equivalent system. Then, we used the quasi-periodicnear-identity transformation
to reduce this dynamically equivalent system to a constant coefficient system
by solving homological equations via harmonic balance. In this process, we
obtained the reducibility/resonance conditions that needed to be satisfied to
convert a quasi-periodic system in to a constant one. Assuming the reducibility
is possible, we obtain the L-P transformation that can transform original
quasi-periodic system into a system with constant coefficients. Two examples
are presented that show the application of this approach.