Tuyển tập các báo cáo nghiên cứu về y học được đăng trên tạp chí y học quốc tế cung cấp cho các bạn kiến thức về ngành y đề tài: " Self-organization of developing embryo using scale-invariant approach | Tiraihi et al. Theoretical Biology and Medical Modelling 2011 8 17 http content 8 1 17 THEORETICAL BIOLOGY AND MEDICAL MODELLING RESEARCH Open Access Self-organization of developing embryo using scale-invariant approach Ali Tiraihi1 Mujtaba Tiraihi2 and Taki Tiraihi3 Correspondence ttiraihi@gmail. com department of Anatomical Sciences Faculty of Medical Sciences Tarbiat Modares University Tehran Iran Full list of author information is available at the end of the article 2 BioMed Central Abstract Background Self-organization is a fundamental feature of living organisms at all hierarchical levels from molecule to organ. It has also been documented in developing embryos. Methods In this study a scale-invariant power law SIPL method has been used to study self-organization in developing embryos. The SIPL coefficient was calculated using a centro-axial skew symmetrical matrix CSSM generated by entering the components of the Cartesian coordinates for each component one CSSM was generated. A basic square matrix BSM was constructed and the determinant was calculated in order to estimate the SIPL coefficient. This was applied to developing C. elegans during early stages of embryogenesis. The power law property of the method was evaluated using the straight line and Koch curve and the results were consistent with fractal dimensions fd . Diffusion-limited aggregation DLA was used to validate the SIPL method. Results and conclusion The fractal dimensions of both the straight line and Koch curve showed consistency with the SIPL coefficients which indicated the power law behavior of the SIPL method. The results showed that the ABp sublineage had a higher SIPL coefficient than EMS indicating that ABp is more organized than EMS. The fd determined using DLA was higher in ABp than in EMS and its value was consistent with type 1 cluster formation while that in EMS was consistent with type 2. Background Self-organization is a property of the biological structure 1 and
