Análise Estatística
Foi realizada estatística descritiva dos dados obtidos dos comprimentos dos corpos vertebrais. Para a análise pelo método de elementos finitos foi verificada a instabilidade numérica, avaliada pela diminuição do tamanho do elemento, pelo refinamento da malha; a solução foi considerada convergente quando a variação de resultados analíticos sequenciais era menor que 3% (HSU et al., 2005).
RESULTS
As VMS nas superfícies do osso, P1 e P2 e as MiPS nas superfícies do osso em relação aos grupos estudados estão representados na figura 5.
Equivalent von Mises stress
Observou-se que as tensões totais médias geradas foram 51,7%, 72,7% e 57,1% maiores no GII que em GI, respectivamente no corpo vertebral, em P1 e em P2. Observou-se maior concentração de tensão de forma geral em todas as superfícies dos corpos vertebrais no GII. Nesse grupo, as superfícies que receberam maior tensão foram a superfície cranial de C6 e caudal de C5 (Figuras 6, 7 e 8). A avaliação individual sobre as superfícies de P1 demostrou que no GI e GII, a superfície caudal da placa vertical recebeu maior tensão quando comparado com as demais superfícies (Figuras 6, 7 e 8). Para P2, na maioria dos testes a superfície cranial da placa vertical sofreu maior tensão de forma geral e essa tensão foi focalizada especificamente na superfície articular côncava, que fica em total contato com P1 (Figuras 6, 7 e 8).
A avaliação das VMS nas superfícies dos parafusos foram avaliadas especificamente para o GI, sendo possível observar que as tensões foram superiores na porção cranial dos parafusos na interface placa-parafuso. De modo geral, as tensões totais médias geradas no osso, P1 e P2 foram superiores no GII quando comparado com o GI (Tabela 2 e 3).
Minimum Principal Stress
Para a MiPS, a avaliação revelou valores de tensão de compressão maiores no GII quando comparado com o GI para todas as superfícies avaliadas nos corpos vertebrais, sendo as maiores diferenças encontradas nas superfícies caudal de C5 e cranial de C6 (Figura 5A, 6, 7 e 8). A avaliação geral em relação às forças aplicadas também revelou valores maiores no GII, com grande discrepância em relação ao GI, (Tabela 4).
Statistical Analysis Descriptive statistics was held on the data obtained from the lengths of the vertebral bodies. For the analysis by the finite element method was verified numerical instability, evaluated by reducing the size of the element, by mesh refinement; the solution was considered convergent when analytical results sequential variation was less than 3% (HSU et al., 2005).RESULTS The VMS on the surfaces of the bone, P1 and P2 and the MiPS bone surfaces in relation to groups are represented in Figure 5. Equivalent von Mises stress It was observed that the total average voltages generated were 51.7%, 72.7% and 57.1% larger in GII to in GI, respectively in the vertebral body, in P1 and P2. The highest concentration was observed overall voltage on all surfaces of the vertebral bodies in the GII. In this group, the areas that received higher voltage were the cranial surface of C6 and C5 flow (figures 6, 7 and 8). The individual assessment on P1 showed that surfaces in GI and GII, the caudal surface of vertical plate received higher voltage when compared with the other areas (figures 6, 7 and 8). For P2, in most tests the cranial surface of the vertical plate suffered higher voltage in General and that tension was focused specifically on concave articular surface, which is in full contact with P1 (figures 6, 7 and 8). The evaluation of VMS on the surfaces of the screws have been evaluated specifically for the GI, being possible to see that the tensions were superior in the cranial portion of the screws in the plate-screw. In General, the total average voltages generated in the bone, P1 and P2 were superior in GII when compared with the GI (table 2 and 3).Minimum Principal StressFor MiPS, the evaluation revealed higher compression pressure values in GII when compared with the GI for all surfaces evaluated in the vertebral bodies, being the biggest differences found on the surfaces of flow C5 and C6 cranial (figure 5A, 6, 7 and 8). The overall assessment in relation to forces applied also revealed higher values on the GII, with great discrepancy in relation to the GI, (table 4).
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Statistical analysis
Descriptive statistics of the data lengths of the vertebral bodies. For the analysis by finite element method was verified numerical instability, measured by the decrease in the size of the element, the refinement of the mesh; the solution is convergent when the variation of sequential analytical results were less than 3% (Hsu et al., 2005).
RESULTS
The VMS in bone surfaces P1 and P2 and mips on bone surfaces in relation to the groups are shown in figure 5.
Equivalent von Mises stress
was observed that the average total generated voltages were 51.7%, 72.7% and 57.1% higher than in GI GII, respectively in the vertebral body, P1 and P2 . There was a higher concentration of general tension on all surfaces of the vertebral bodies GII. In this group, more tensioned surfaces were cranial and caudal surface C5 C6 (Figures 6, 7 and 8). The individual assessment of surfaces P1 has shown that in GI and GII, the surface flow of the vertical plate received higher voltage when compared to other surfaces (Figures 6, 7 and 8). P2, in most tests the cranial surface of the vertical plate suffered higher voltage generally and this tension was focused specifically on the joint surface concave, which is in full contact with P1 (Figures 6, 7 and 8).
The evaluation of VMS the surfaces of the screws were evaluated specifically for GI, and observed that the tensions were higher in the cranial portion of the screws in the plate-screw interface. In general, the average total stress generated in the bone, P1 and P2 were higher in GII when compared to the GI (Table 2 and 3).
Minimum Main Stress
to the MIPS, the assessment demonstrated higher compressive strain values GII when compared to the GI for all surfaces evaluated vertebral bodies with the largest differences in surfaces flow cranial C5 and C6 (Figure 5A, 6, 7 and 8). The overall assessment of the forces applied also showed higher values in the GII, with great discrepancy from the GI (Table 4).
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Statistical analysis.Was carried out descriptive statistics of data obtained of the lengths of the vertebral bodies. For the analysis, finite element method was verified the numerical instability, as assessed by decreasing element size, the refinement of the mesh, the solution was considered converged when the variation of analytical results sequential was smaller than 3% (Hsu et al., 2005).ResultsThe VMS on the surfaces of the bone, P1 and P2 and the MIPs on the surfaces of the bone in relation to the groups studied are shown in Figure 5.Equivalent von Mises stress.It was observed that the total average voltages generated were 51.7%, 72.7% and 57.1% higher in the GII in IM, respectively in the vertebral body, P1 and P2. There was a greater concentration of tension in general on all the surfaces of the vertebral bodies in the GII. In this group, the areas receiving greater tension were the cranial surface of C6 and C5 flow (figures 6, 7 and 8). The individual evaluation on the surfaces of P1 showed that the no GI and GII, the surface flow from the vertical plate has received greater tension when compared with the other areas (figures 6, 7 and 8). For P2, in the majority of the cranial surface of vertical plate tests in general suffered greater tension and the tension was focused specifically on the articular surface concave, which is in full contact with the P1 (figures 6, 7 and 8).The evaluation of VMS on the surfaces of the bolts were assessed specifically for GI, it is possible to observe that the stresses were higher in the cranial portion of the screws in the screw plate interface. In general, the tensions generated in the total average bone, P1 and P2 were higher in the GII when compared with IM (Table 2 and 3).Minimum principal stress.For the MIPs, the evaluation showed values of compressive stress greater in GII when compared with IM for all surfaces as assessed in the vertebral bodies, and the major differences on the surfaces of C5 and C6 cranial to caudal (Figure 5a, 6, 7 and 8). The general evaluation in relation to the applied forces also showed higher values in the GII, with great discrepancy in relation to the im (Table 4).
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