Mathematical model of bone remodeling Essay Example | Topics and Well Written Essays - 3000 words

Mathematical model of bone remodeling - Essay Example In the humans’ body, some auto-crine and paracrine parameters ruled the bone reconstruction process for the bone’s good. For the regulation of the cell types,according to the theory that whether the cell has the nuclear envelope, which is the boundary of the nucleus, the cell can be divided into prokaryotic and eukaryotic cells (Manolagas et al 1995, page 34). It’s noted that, the prokaryotic cells and eukaryotic can be separated like that. First, it’s the pro-karyotic cells where the cells are smaller, no nuclear envelope, without nucleolus, without form-ing the nucleus; secondly, the eukaryotic cells where the cells are larger, and it have the nuclear envelope, nucleolus, a true nucleus; thirdly, the prokaryotes, which is comprised by prokaryotic cells constitute biological. Fourthly, the eukaryotes, which is from eukaryotic cells constitute biological. Bifurcations math’s theory According to Manologas (1995) bifurcations studies the characteristics of the bifurca-tion fact and its mechanism of the math theory. Bifurcation fact is a math fact which has all kinds of performance in nature. One parameter of the system is the continuity changing to a critical value, and the system’s global state.For instance, the qualitative properties of topological properties, will change suddenly for some full determination of the nonlinear system. This critical value is called the parameter, the bifurcation value or branch value. The reason why the researchers find this intriguing is that their cause is not in a bifurcation but in a change of the inactive-state concentrations in some bones with complications such as their not being firm. (Manolagas, 1995, pages 67). The systems theory has many strong tools to check and analyze the bifurcations. Researchers found a lot of math models for the regulation of bone reconstruction for the bifurcation properties in the presen t practice. These kinds of tools could be used for understanding the reasons for some kind of complications if it is found they have some relationship with it. Hence, the common models can give a broad prospect of the dynamics of the system, and it offers convenience to the specific models. More significantly, the analysis of the common model discovers dynamical instabilities that are very much related to pathologies of bone reconstruction. In summary, they used the common modeling ways and it permits analyzing models in which the kinetics is not constrained to the specific math functions. The assumption being put forward in the present time produces and extends to the 3D models are quiet if that assumption doesn’t exist; we are shown that it is in two-parameter models with the proposed structure, where the firmness of the inactive state demands that the actions of OPG control over those of RANKL.Those results show that osteoblast precursors have a significant effect on the d ynamics and it ought to be taken into consideration in models. For human kind, the bone reconstruction process is influenced by some different parameters to maintain the bone balance. When the balance is broken, it may result into some different kinds of bone complications , for instance osteoporosis and Paget’s sickness of bone(Di Bernard, Feigin, Hogan & Homer,1999, page 1890). Paget’s sickness is common in the nipples of the elderly females and the surrounding skin, malignant tumors,