Mathematics Department, United States Naval Academy, Annapolis, MD, USA.
Bull Math Biol. 2013 Sep;75(9):1612-35. doi: 10.1007/s11538-013-9861-2. Epub 2013 Jun 18.
Experimental evidence is presented on the translocation of vitamin D metabolite, 1,25-(OH)₂D₃, from the membrane to the nucleus in osteoblast progenitor cells. A mathematical model permitting traversal of the cytoplasm at either a fixed velocity or by diffusion is formulated in order to determine whether transport along the cytoskeletal tracks is more consistent with the observed spatial-temporal distribution than diffusion, and it is so found. The model includes reactions in the nucleus involving D₃ to form other compounds, such as protegerin, and thus also makes predictions of the concentrations of these compounds in various regions of the cell.
本文提供了实验证据,表明维生素 D 代谢物 1,25-(OH)₂D₃从细胞膜向成骨细胞前体细胞的核内易位。为了确定沿着细胞骨架轨道的运输是否比扩散更符合观察到的时空分布,本文构建了一个允许在固定速度或扩散下穿过细胞质的数学模型,并发现确实如此。该模型包括核内的反应,涉及 D₃形成其他化合物,如保护素,因此也对这些化合物在细胞的各个区域的浓度做出了预测。