Consequently, utilizing the conditions (C2), (C5), (C6), and Lemma 2.8, we obtain lim_{ntoinfty}|x_{n+1}-x_{n}|=0.
Elastodynamic Green's function has been derived by employing the compatibility conditions and utilizing the symmetry conditions at the loaded cross section.
Therefore, multiple cyclic iterations utilizing the convergence condition expressed as (25) can solve this problem and improve the robustness of the GSC system consequently.
Research designed to improve GBM culture conditions has shown that GSCs can be readily cultured as spheres, utilizing the same conditions as for normal neural stem cells (Hemmati et al., 2003, Ignatova et al., 2002, Singh et al., 2003).
Utilizing the initial conditions from Eq. (52), it becomes s α L [ y ] = 1 s − L [ y 2 ] (56).
Based on the solutions, linear algebraic equations about the state variables only at the inner and outer spherical surfaces are derived by utilizing the continuity conditions at each interface.
Furthermore, numerous trafficking-deficient LQT2 mutants with abnormalities of the C-terminus can be rescued by utilizing the aforementioned conditions.
All qRT-PCR reactions were run using an Applied Biosytems 7500 Fast Real-Time PCR System utilizing the following conditions: 1 cycle: 2 min 50°C, 1 cycle: 10 min 95°C, 40 cycles: 15 sec 95°C, 1 min 60°C.
The resulting cDNA was utilized for qRT-PCR with SsoFast Eva Green Supermix (BioRad) utilizing the following conditions: 95°C for 3 min, 35 cycles (95°C for 30 s, 55°C for 30 s, 72°C for 40 s), and 72°C for 5 min.
