Paun Maria-Alexandra, Paun Vladimir-Alexandru, Paun Viorel-Puiu
School of Engineering, Swiss Federal Institute of Technology (EPFL), 1015 Lausanne, Switzerland.
Division Radio Monitoring and Equipment, Section Market Access and Conformity, Federal Office of Communications (OFCOM), 2501 Bienne, Switzerland.
Gels. 2022 Oct 16;8(10):661. doi: 10.3390/gels8100661.
A suite of four drug deliverance formulations grounded on 5-fluorouracil enclosed in a chitosan-founded intercellular substance was produced by 3,7-dimethyl-2,6-octadienal with in situ hydrogelation. The formulations have been examined from a morphological and structural point of view by Fourier transform infrared (FTIR) spectroscopy and microscopy with polarized light, respectively. The polarized optical microscopy (POM) pictures of the three representative formulations obtained were investigated by fractal analysis. The fractal dimension and lacunarity of each of them were thus calculated. In this paper, a novel theoretical method for mathematically describing medicament deliverance dynamics in the context of the polymeric medicament constitution limit has been advanced. Assuming that the polymeric drug motion unfolds only on the so-called non-differentiable curves (considered mathematically multifractal curves), it looks like in a one-dimensional hydrodynamic movement within a multifractal formalism, the drug-release physics models are provided by isochronous kinetics, but at a scale of resolution necessarily non-differentiable.
通过3,7 - 二甲基 - 2,6 - 辛二烯醛原位水凝胶化制备了一组四种基于包裹在壳聚糖基细胞间物质中的5 - 氟尿嘧啶的药物递送制剂。分别通过傅里叶变换红外（FTIR）光谱和偏光显微镜从形态和结构角度对这些制剂进行了研究。对获得的三种代表性制剂的偏光显微镜（POM）图片进行了分形分析。由此计算出它们各自的分形维数和空隙率。本文提出了一种新的理论方法，用于在聚合物药物构成极限的背景下数学描述药物递送动力学。假设聚合物药物运动仅在所谓的不可微曲线上展开（数学上视为多重分形曲线），这类似于多重分形形式主义中的一维流体动力学运动，药物释放物理模型由等时动力学提供，但在必然不可微的分辨率尺度上。
