Seirin-Lee Sungrim
Department of Mathematical and Life Sciences, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima, 739-8530, Japan.
JST PRESTO, 4-1-8 Honcho, Kawaguchi, Saitama, 332-0012, Japan.
Dev Growth Differ. 2017 Jun;59(5):396-404. doi: 10.1111/dgd.12377. Epub 2017 Jul 6.
Pattern formation during development is one of the elegant self-organized phenomena that allow cells to regulate their functions. At all levels, from DNA to a tissue or organ, many developmental processes include the determination of cellular functions through pattern formation. To elucidate the mechanism underlying pattern formation, numerous mathematical models have been developed and applied. However, model simplification has resulted in the role of domains not being seriously considered in pattern formation. Here, we introduce a novel application of the phase-field method for analysis of chromatin dynamics, and a mathematical approach that includes domain information into a biochemical model of pattern formation. Using this new modeling method, here, we consider the role of nuclear and cellular cell shapes on pattern formation.
发育过程中的模式形成是细胞能够调节其功能的优雅自组织现象之一。在从DNA到组织或器官的所有层面上,许多发育过程都包括通过模式形成来确定细胞功能。为了阐明模式形成的潜在机制,人们已经开发并应用了众多数学模型。然而,模型简化导致在模式形成中未认真考虑结构域的作用。在此,我们介绍相场法在染色质动力学分析中的一种新应用,以及一种将结构域信息纳入模式形成生化模型的数学方法。利用这种新的建模方法,我们在此考虑细胞核和细胞形状在模式形成中的作用。