Cogan Nicholas G, Mellers Alana P, Patel Bhavi N, Powell Brett D, Aggarwal Manu, Harper Kathleen M, Blaber Michael
Departments of Mathematics, Florida State University, Tallahassee, Florida.
Biomedical Sciences, Florida State University, Tallahassee, Florida.
Wound Repair Regen. 2018 Mar;26(2):136-143. doi: 10.1111/wrr.12634. Epub 2018 May 19.
We present a mathematical model to quantify parameters of mouse excisional wound healing from photographic data. The equation is a piecewise linear function in log scale that includes key parameters of initial wound radius (R ), an initial wound stasis phase (T ), and time to wound closure (T ); subsequently, these terms permit calculation of a latter active proliferative phase (T ), and the healing rate (HR) during this active phase. A daily photographic record of wound healing (utilizing 6 mm diameter splinted excisional wounds) permits the necessary sampling for robust parameter refinement. When implemented with an automated nonlinear fitting routine, the healing parameters are determined in an operator-independent (i.e., unbiased) manner. The model was evaluated using photographic data from a splinted excisional surgical procedure involving several different mouse cohorts. Model fitting demonstrates excellent coefficients of determination (R ) in each case. The model, thus, permits quantitation of key parameters of excisional wound healing, from initial wounding through to wound closure, from photographic data.
我们提出了一个数学模型,用于根据摄影数据量化小鼠切除伤口愈合的参数。该方程是对数尺度下的分段线性函数,包括初始伤口半径(R)、初始伤口停滞期(T)和伤口闭合时间(T)等关键参数;随后,这些项允许计算后期的活跃增殖期(T)以及该活跃期的愈合率(HR)。伤口愈合的每日摄影记录(使用直径6毫米的夹板切除伤口)为稳健的参数细化提供了必要的采样。当与自动非线性拟合程序一起实施时,愈合参数以独立于操作员(即无偏差)的方式确定。该模型使用来自涉及几个不同小鼠队列的夹板切除手术程序的摄影数据进行评估。模型拟合在每种情况下都显示出优异的决定系数(R)。因此,该模型允许从摄影数据中量化切除伤口愈合的关键参数,从初始创伤到伤口闭合。