Departament de Física de la Matèria Condensada, Facultat de Física, Universitat de Barcelona, Diagonal 645, E-08028 Barcelona, Spain.
Centre de Recerca Matemàtica, Edifici C, Campus de Bellaterra, 08193 Bellaterra, Barcelona, Spain and Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain and Barcelona Graduate School of Mathematics (BGSMath), Barcelona, Spain.
Soft Matter. 2017 Apr 19;13(16):3042-3047. doi: 10.1039/c6sm02412b.
We introduce a new framework to study the non-Newtonian behaviour of fluids at the microscale based on the analysis of front advancement. We apply this methodology to study the non-linear rheology of blood in microchannels. We carry out experiments in which the non-linear viscosity of blood samples is quantified at different haematocrits and ages. Under these conditions, blood exhibits a power-law dependence on the shear rate. In order to analyse our experimental data, we put forward a scaling theory which allows us to define an adhesion scaling number. This theory yields a scaling behaviour of the viscosity expressed as a function of the adhesion capillary number. By applying this scaling theory to samples of different ages, we are able to quantify how the characteristic adhesion energy varies as time progresses. This connection between microscopic and mesoscopic properties allows us to estimate quantitatively the change in the cell-cell adhesion energies as the sample ages.
我们介绍了一种新的框架，基于前沿推进分析来研究微尺度下流体的非牛顿行为。我们将这种方法应用于研究微通道中血液的非线性流变学。我们进行了实验，在不同的血球比容和年龄下定量测量了血液样本的非线性粘度。在这些条件下，血液表现出对剪切率的幂律依赖性。为了分析我们的实验数据，我们提出了一个标度理论，该理论允许我们定义一个附着标度数。该理论给出了一个粘度的标度行为，它表示为一个函数的附着力毛细管数。通过将这种标度理论应用于不同年龄的样本，我们能够定量地量化特征附着能随时间的变化。这种微观和介观性质之间的联系使我们能够定量估计样本老化时细胞间附着能的变化。
