A mathematical model that reproduces fungal proliferation and morphological colony formation was developed on the basis of a reaction diffusion modelling approach. In this modelling, fungal life stage was separated into two, active and inactive stage, and it was assumed that active fungus moves by diffusion and reaction while generating and producing inactive fungus. The effects of temperature and humidity on fungal growth were explicitly incorporated in the reaction term of nutrient consumption/production of active fungus in this governing equation. The damping function, which reproduces the effects of temperature and humidity on fungal growth, was developed and explicitly based on the fungal index proposed by K. Abe. In order to estimate the sensitivity of the proposed numerical fungal growth model, fungal growth on the surface of building materials was analysed for four types of building materials, and the prediction results were compared with the results of WUFI-Bio and the fungal index.

中文翻译：

---

建筑材料中真菌生长与湿热传递耦合的数值预测模型

在反应扩散建模方法的基础上开发了再现真菌增殖和形态菌落形成的数学模型。在这个模型中，真菌的生命阶段分为活跃和不活跃两个阶段，假设活跃的真菌在产生和生产不活跃的真菌时通过扩散和反应移动。在这个控制方程中，温度和湿度对真菌生长的影响明确地包含在活性真菌的养分消耗/生产的反应项中。再现温度和湿度对真菌生长影响的阻尼函数是基于 K. Abe 提出的真菌指数开发的，并且明确地基于此。为了估计所提出的数值真菌生长模型的敏感性，