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胃类器官构建的数学与物理基础
Mathematical and Physical Foundations of Gastric Organoid Construction
摘要
本文以胃干细胞（gastric stem cells, GSCs）为起点，建立物理模型与数学模型，阐明类器官构建与再生的统一逻辑。将GSCs状态形式化为离散命运与连续状态耦合的希尔伯特空间，用厄米算符、量子跳跃、随机微分方程、相场自由能、Potts接触能、非牛顿流体和反应扩散方程描述自身调控与周围环境的互作。进一步论述自身扩增与环境互作耦合，命运概率和自由能景观决定谱系分化，空间结构由能量最小化涌现，生长遵循扩散限制标度，最终形成类器官并具备再生能力的过程。本征函数框架受时间分辨率和测量模态限制，牛顿流体与无滑移假设需非牛顿及孔隙弹性修正，连续观测的数据量、光毒性和标记限制仍待解决。胃类器官是GSCs在物理约束与数学规律下自发涌现的开放耗散系统，再生是其稳态维持与损伤修复的功能表现。
Abstract
Starting from gastric stem cells (GSCs), this paper establishes physical and mathematical models to elucidate the unified logic of organoid construction and regeneration. The state of GSCs is formalized as a Hilbert space coupling discrete fates and continuous states, and Hermitian operators, quantum jumps, stochastic differential equations, phase-field free energy, Potts contact energy, non-Newtonian fluids, and reaction-diffusion equations are used to describe self-regulation and interactions with the surrounding environment. Furthermore, the coupling between self-amplification and environmental interactions is discussed: fate probabilities and the free-energy landscape determine lineage differentiation, spatial structure emerges from energy minimization, and growth follows diffusion-limited scaling, ultimately forming organoids with regenerative capacity. The eigenfunction framework is limited by temporal resolution and measurement modalities; the Newtonian fluid and no-slip assumptions require non-Newtonian and poroelastic corrections; and for continuous observation, data volume, phototoxicity, and labeling limitations remain to be addressed. Gastric organoids are open dissipative systems that spontaneously emerge from GSCs under physical constraints and mathematical laws, and regeneration is the functional manifestation of their homeostasis maintenance and damage repair.关键词
关键词：GSCs/类器官/物理模型/数学模型/再生Key words
Keywords: GSCs/ organoids/ physical model/ mathematical model/ regeneration引用本文复制引用
王子阳,党骏献.胃类器官构建的数学与物理基础[EB/OL].(2026-10-09)[2026-10-11].https://sinoxiv.napstic.cn/article/26332008.学科分类
生物物理学基金
大学生创新训练计划 大学生创新创业训练计划( S202610564236 )