Esophageal squamous cell carcinoma is the most predominant malignancy of the esophagus. Its histological precursors (dysplasia) emerge in the esophageal epithelium that their progression into the underlying layers leads to cancer. The epithelium is the origin of many solid cancers and, accordingly, the focus of numerous computational models. In this work, we proposed a framework to establish a two-dimensional, globally coupled map to model the epithelium dynamics. The model aims at diagnosing the early stage of dysplasia based on microscopic images of endoscopic biopsies. We used the logistic map as a black-box model for the epithelial cells. By relating between the structure and dynamic of the epithelium, we defined the coupling function and proposed a case-dependent model in which the parameters were adjusted based on fractal geometry of each pathological image. Thus, by assigning different attractors to the cells' behavior, the lattice dynamic was investigated by the Lyapunov exponent. The decreasing pattern of Lyapunov exponent variations across the epithelium thickness had reasonable performance in diagnosing the normal specimens from the low-grade dysplasia ones. The results showed that there could be a direct relationship between the structural complexity of this system and its uncertainty of dynamics. Graphical abstract The modeling process of the esophageal epithelium to classify the experimental data at normal and LGD stages.

中文翻译：

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基于整体耦合图的食管上皮建模：一种针对癌前病变诊断的方法。

食道鳞状细胞癌是食道最主要的恶性肿瘤。其组织学前体（不典型增生）出现在食管上皮中，表明它们发展为下层会导致癌症。上皮是许多实体癌的起源，因此是众多计算模型的重点。在这项工作中，我们提出了一个框架，以建立二维，全局耦合图以对上皮动力学建模。该模型旨在根据内窥镜活检的显微图像诊断发育异常的早期阶段。我们使用逻辑图谱作为上皮细胞的黑盒模型。通过上皮的结构和动力学之间的联系，我们定义了耦合函数，并提出了一个基于案例的模型，其中基于每个病理图像的分形几何来调整参数。因此，通过为细胞的行为分配不同的吸引子，利雅普诺夫指数研究了晶格动力学。Lyapunov指数变化在整个上皮厚度上的减小模式在诊断正常样本和低度不典型增生样本中具有合理的表现。结果表明，该系统的结构复杂性与其动力学不确定性之间可能存在直接关系。图形摘要食管上皮的建模过程，用于对正常和LGD阶段的实验数据进行分类。用李雅普诺夫指数研究晶格动力学。Lyapunov指数变化在整个上皮厚度上的减小模式在诊断正常样本和低度不典型增生样本中具有合理的表现。结果表明，该系统的结构复杂性与其动力学不确定性之间可能存在直接关系。图形摘要食管上皮的建模过程，用于对正常和LGD阶段的实验数据进行分类。用李雅普诺夫指数研究晶格动力学。Lyapunov指数变化在整个上皮厚度上的减小模式在诊断正常样本和低度不典型增生样本中具有合理的表现。结果表明，该系统的结构复杂性与其动力学不确定性之间可能存在直接关系。图形摘要食管上皮的建模过程，用于对正常和LGD阶段的实验数据进行分类。结果表明，该系统的结构复杂性与其动力学不确定性之间可能存在直接关系。图形摘要食管上皮的建模过程，用于对正常和LGD阶段的实验数据进行分类。结果表明，该系统的结构复杂性与其动力学不确定性之间可能存在直接关系。图形摘要食管上皮的建模过程，用于对正常和LGD阶段的实验数据进行分类。