论文标题
使用高斯工艺替代物来改善重建手术设计,以捕获材料行为不确定性
Improving Reconstructive Surgery Design using Gaussian Process Surrogates to Capture Material Behavior Uncertainty
论文作者
论文摘要
伤口附近的过多负荷会产生病理疤痕和其他并发症。目前,手术室中的外科医生无法轻易测量压力。相反,外科医生依靠直觉和经验。预测计算工具是手术计划的理想候选者。有限元(FE)模拟在预测大型皮肤斑块和复杂病例的应力场方面显示了有希望,有助于鉴定并发症的潜在区域。不幸的是,这些仿真在计算上是昂贵且确定性的。但是,运行一些良好的FE模拟使我们能够创建高斯过程(GP)替代局部皮瓣的替代模型,这些模型在计算上是有效的,并且能够预测任意材料参数的压力和应变。在这里,我们为进步,旋转和换位襟翼创建了GP替代物。然后,我们使用这些替代物的预测能力进行全局灵敏度分析,最终表明纤维方向对应变场的变化具有最大的影响。然后,我们进行优化,以确定由临床准则驱动的三种不同目标的每个皮瓣的最佳光纤方向。虽然材料特性不受外科医生的控制,实际上是不确定性的来源,但外科医生实际上可以控制皮瓣的方向。因此,纤维方向是唯一可以在临床上优化的材料参数。当包括其他物质参数的不确定性时,优化任务依赖于GP代理的效率来计算不同策略的预期成本。我们提出了三种成本功能的最佳皮瓣方向,这可能有助于减少手术导致的应力,并最终减少与伤口附近过多的机械负荷相关的并发症。
Excessive loads near wounds produce pathological scarring and other complications. Presently, stress cannot easily be measured by surgeons in the operating room. Instead, surgeons rely on intuition and experience. Predictive computational tools are ideal candidates for surgery planning. Finite element (FE) simulations have shown promise in predicting stress fields on large skin patches and complex cases, helping to identify potential regions of complication. Unfortunately, these simulations are computationally expensive and deterministic. However, running a few, well-selected FE simulations allows us to create Gaussian process (GP) surrogate models of local cutaneous flaps that are computationally efficient and able to predict stress and strain for arbitrary material parameters. Here, we create GP surrogates for the advancement, rotation, and transposition flaps. We then use the predictive capability of these surrogates to perform a global sensitivity analysis, ultimately showing that fiber direction has the most significant impact on strain field variations. We then perform an optimization to determine the optimal fiber direction for each flap for three different objectives driven by clinical guidelines. While material properties are not controlled by the surgeon and are actually a source of uncertainty, the surgeon can in fact control the orientation of the flap. Therefore, fiber direction is the only material parameter that can be optimized clinically. The optimization task relies on the efficiency of the GP surrogates to calculate the expected cost of different strategies when the uncertainty of other material parameters is included. We propose optimal flap orientations for the three cost functions and that can help in reducing stress resulting from the surgery and ultimately reduce complications associated with excessive mechanical loading near wounds.