Division of Physical Chemistry, Lund University, Lund, Sweden.
Division of Theoretical Chemistry, Lund University, Lund, Sweden.
PLoS One. 2019 Oct 3;14(10):e0215047. doi: 10.1371/journal.pone.0215047. eCollection 2019.
The transport and distribution of charged molecules in polyelectrolyte solutions are of both fundamental and practical importance. A practical example, which is the specific subject addressed in the present paper, is the transport and distribution of charged species into cartilage. The charged species could be a contrast agent or a drug molecule involved in diagnosis or treatment of the widespread degenerative disease osteoarthritis, which leads to degradation of articular cartilage. Associated scientific issues include the rate of transport and the equilibrium concentrations of the charged species in the cartilage and the synovial fluid. To address these questions, we present results from magnetic resonance micro-imaging experiments on a model system of articular cartilage. The experiments yield temporally and spatially resolved data on the transport of a negatively charged contrast agent (charge = -2), used in medical examinations of cartilage, into a polyelectrolyte solution, which is designed to capture the electrostatic interactions in cartilage. Also presented is a theoretical analysis of the transport where the relevant differential equations are solved using finite element techniques as well as treated with approximate analytical expressions. In the analysis, non-ideal effects are included in the treatment of the mobile species in the system. This is made possible by using results from previous Monte Carlo simulations. The results demonstrate the importance of taking non-idealities into account when data from measurements of transport of charged solutes in a system with fixed charges from biological polyelectrolytes are analyzed.
荷电分子在聚电解质溶液中的输运和分布具有重要的理论和实际意义。一个实际的例子是,本论文所讨论的特定主题是荷电物质向软骨中的输运和分布。荷电物质可以是一种对比剂或一种参与诊断或治疗广泛退行性疾病骨关节炎的药物分子,骨关节炎会导致关节软骨退化。相关的科学问题包括荷电物质在软骨和滑液中的输运速率和平衡浓度。为了解决这些问题,我们展示了对关节软骨模型系统的磁共振微成像实验结果。实验提供了关于带负电荷对比剂(电荷=-2)向聚电解质溶液输运的时间和空间分辨数据,该溶液旨在捕获软骨中的静电相互作用。还提出了一种输运的理论分析,其中使用有限元技术求解相关的微分方程,并使用近似解析表达式进行处理。在分析中,考虑了非理想效应对系统中可移动物质的处理。这可以通过使用先前的蒙特卡罗模拟的结果来实现。结果表明,在分析具有生物聚电解质固定电荷的系统中荷溶质输运的测量数据时,考虑非理想性是很重要的。