We show rigorously that, under suitable assumptions on the nonlinearity, these methods are of second order and can then be used to construct higher order methods by composition.
Therefore, we could not perform a suitable control to rigorously validate the absence of inter-Golgi transport of anterograde cargo.
The proposed approach is demonstrated by an illustrative problem where three simple models are discriminated and the parameters in the most suitable ones are estimated rigorously.
In this paper, literatures on thermal energy storage unit with phase change material has been rigorously studied to select the best suitable PCMs and materials for the design of test bench of the thermal energy storage unit.
However, this idea has not been rigorously tested, due to the lack of suitable model systems and reliable quantitative measurements of mitophagy in vivo.
In particular, it was shown that the selection of the suitable computational protocol allowed for describing rigorously the interactions that could take place, the solvent effects, and the structural changes for the monofunctional and the trifunctional versions.
The APE1 assay was rigorously optimized to yield a reproducible and robust assay, suitable for measuring inter-individual variations in the population.
Finally, it should be mentioned here that a suitable research-cum-expository article which would deal in detail, both analytically and rigorously, with each and every aspect of this situation is under preparation.'.
The nonlinear stability and convergence are rigorously analysed once the spatial differential operator is approximated by an appropriate positive semi-definite matrix under some suitable smoothness assumptions.
Accordingly, the stability, convergence and long-time behaviour are rigorously analysed once the spatial differential operator is approximated by an appropriate positive semi-definite matrix, subject to suitable temporal and spatial smoothness.
