Chen Bingyan, Fowler Alex, Bhowmick Sankha
Department of Mechanical Engineering, University of Massachusetts Dartmouth, North Dartmouth, MA 02747, USA.
J Biomech Eng. 2006 Jun;128(3):335-46. doi: 10.1115/1.2187051.
Trehalose is believed to offer desiccation protection to mammalian cells by forming stable glassy matrices. The goal of the current study was to explore the desiccation kinetics of thin films of trehalose-water solution under forced and natural convective conditions and to investigate the thermophysical state of mammalian cells at the bottom of the thin film. We developed a finite difference model based on the mass and energy conservation equations coupled to the water transport model from the cells. The boundary conditions were obtained from correlations or experimental measurements and the Gordon-Taylor equation was used to predict the glass transition temperature at every location. Results indicated that there are three distinct regimes for drying for both forced and natural convection, characterized by the slope of the moisture content plot as a function of time. Our results also indicate that the surface of the solution reached the glassy state in less than 10 min for the Reynolds (forced) numbers explored and approximately 30 min for some Rayleigh (natural convective) numbers; however, significant water was trapped at this instant. Larger drying force hastened quicker glass formation but trapped more water. The numerical model was capable of predicting the drying kinetics for the dilute region accurately, but deviated while predicting the other regimes. Based on these experimental validations of the model, the osmotic response of different cells located at the bottom of the solution with orders of magnitude difference in their membrane permeability (Lp) was predicted. The results suggested that extracellular glass formed around cells at the bottom of a trehalose-water solution by the propagation of glass into the solution; however it takes more than an order of magnitude time (approximately 7 min to >100 min for forced convective drying) to remove sufficient water to form glass around cells from the time when the first surface glass is formed. This is attributed to low diffusivity of water through the glass. In addition, the water transport from the glassy matrix could be either diffusion or Lp limited. For diffusion-limited transport, lowering the film thickness at the beginning of drying by half almost lowers the drying time by an order of magnitude. In summary, the optimal design of convective desiccation protocols requires accounting for the size of the cell, their membrane permeability (Lp) and the starting thickness of the solution.
海藻糖被认为通过形成稳定的玻璃态基质为哺乳动物细胞提供干燥保护。本研究的目的是探索海藻糖 - 水溶液薄膜在强制对流和自然对流条件下的干燥动力学,并研究薄膜底部哺乳动物细胞的热物理状态。我们基于质量和能量守恒方程以及细胞水分传输模型开发了一个有限差分模型。边界条件通过关联式或实验测量获得,并用戈登 - 泰勒方程预测每个位置的玻璃化转变温度。结果表明,对于强制对流和自然对流,干燥过程都有三个不同的阶段,其特征是水分含量随时间变化曲线的斜率。我们的结果还表明,在所研究的雷诺数(强制对流)下,溶液表面在不到10分钟内达到玻璃态,对于某些瑞利数(自然对流)则约为30分钟;然而,此时仍有大量水分被困。更大的干燥力会加速更快地形成玻璃态,但会困住更多水分。该数值模型能够准确预测稀溶液区域的干燥动力学,但在预测其他阶段时会出现偏差。基于对该模型的这些实验验证,预测了位于溶液底部、膜渗透率(Lp)相差几个数量级的不同细胞的渗透响应。结果表明,通过玻璃态向溶液中的传播,在海藻糖 - 水溶液底部的细胞周围形成了细胞外玻璃态;然而,从第一个表面玻璃态形成之时起,需要超过一个数量级的时间(强制对流干燥约7分钟至>100分钟)才能去除足够的水分以在细胞周围形成玻璃态。这归因于水在玻璃态中的低扩散率。此外,从玻璃态基质中的水分传输可能受扩散或Lp限制。对于扩散限制传输,在干燥开始时将薄膜厚度减半几乎可将干燥时间缩短一个数量级。总之,对流干燥方案的优化设计需要考虑细胞大小、它们的膜渗透率(Lp)以及溶液的起始厚度。