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Subsequently, a multi-stage model for the successive reduction of titanium oxides to titanium is proposed.

To coordinate access of BESS and renewable energy, a multi-stage model is employed in this paper.

We develop test statistics for comparing K waiting time distributions from a multi-stage model in which censoring and waiting times may be dependent upon the transition history in the multi-stage model.

Furthermore, the full-scale model is reformulated as a multi-stage model based on Duhamel's theorem to reduce the computational cost.

The multi-stage model combines the three separate solutions in a sequential way, i.e., the inner solution for the short-time scale, the conventional infinite line-source solution for the intermediate time scale, and the outer solution for the long-time scale.

Thus, in this multi-stage model, loss of Arf accelerates tumor formation, at least in part, via facilitating the angiogenic switch.

We constructed a multi-stage model in which the first-stage amplification was approximately 100 (AF∼100) so that the initial ligand slope Lslope = 0.001 µm−1 was transformed into a slope of a1 that was approximately 0.1 µm−1.

Additional analyses suggest a multi-stage model.

From results of Section 2, it follows that the stochastic multi-stage model for human colon cancer can be represented schematically by Figure 3.

The so-called multi-stage model of carcinogenesis of Armitage and Doll [ 1] was developed in part as a way of accounting for this approximately log-log variation of cancer incidence with age.

The classical Armitage-Doll multi-stage model corresponds to the case in which the intermediate cell proliferation rates G(i)(t) and the cell differentiation rates D i)(t) are all zero.

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