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Cell therapy as a viable therapeutic strategy, has been improved for treating of neurological diseases, [1] and cancer. Many
neurological disorders, characterized by the loss of neural tissue, has been established in research. Development of cell
implantation therapy, as a real option to replace, repair and regenerative damaged brain tissue, turned out to be a very successful
one. Almost a century ago, early indentation experiments on living cells employed ?the use of glass microneedles which were
slowly inserted into many cell types to estimate viscosity? has been presented. A nanoscale operation in which an AFM (atomic
force microscopy) tip modified with a nanoneedle has been used into nucleus of living cells, [3].There exist many early clinical
trials for animal and human derived sources of tissue, which has been validated for transplantation of neural cells for rare
diseases. The aim of the work, presented could be formulated as follows: to give some mathematical models, for study of Stem
Cells Dynamics and cancer treatment too. A significant amount of models at of Hematological Diseases have been attracted the
attention of a number of researchers. Also, important and modern tools for these studies, has been established nanotechnology
and biotechnology. On the basis of nanotechnology and gold nanoparticles, have been discovered new methods and mechanisms
for treatment of cancer diseases, [3,4].
Other periodic hematological diseases (for example- cyclical neuropenia, periodic chronic myelogeneus leukemia), involve
very long periodic dynamics (weeks to months). Background and mathematical assumptions for mathematical decisions of the
hematological (blood?s cancer) diseases, has been described in the work, also. Stochastic Analytical of Tumor Stem Cells has
been analyzed as well. Following [5], we could find a simple mathematical model for investigation of the implications of the
concept, mention above. This idea, developed could be described by the fact that many tumors derive from the transformation of
normal stem cells into cancer stem cells that retain self-renewal capacity, regarding the evolution of tumors in the hematopoietic
system. A computational model for study of adult stem cells, by classical mathematics and mechanics theories has been
presented. Numerical algorithms and numerical FORTRAN programs, designed by author, have been given as well. By numerical
simulations conducted graphics, reflecting the effects of parameters of model, on the mechanical behavior of adult stem cells
has been proposed. Comparison by the experiments in literature and numerical results, obtained shows a very good agreement.
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