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

Mathematical model of debone remodeling - Essay ExampleIn the humans body, some auto-crine and paracrine line of reasonings rule the bone reconstruction process for the bones good. For the rule 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). Its noned that, the prokaryotic cells and eukaryotic can be separated like that. First, its 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 maths theory According to Manologas (1995) bifurcations studies the characteristics of the bifurca-tion fact and its utensil 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 systems global state.For instance, the qualitative properties of topological properties, pass on 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 that in a change of the unchanging-state concentrations in some bones with complications such as their not world firm. (Manolagas, 1995, pages 67). The systems theory has many strong tools to check and analyze the bifurcations. Researchers put together a lot of math models for the regulation of bone reconstruction for the bifurcation properties in the present 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 frequently 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 clock produces and extends to the 3D models are quiet if that assumption doesnt 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 dynamics and it ought to be taken into con sideration 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 Pagets sickness of bone(Di Bernard, Feigin, Hogan & Homer,1999, page 1890). Pagets sickness is common in the nipples of the elderly females and the adjoin skin, malignant tumors,