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An Algorithm for Analyzing the Spatial Distribution of the Evolutionary Development Processes

Moradi, Davoud | 2020

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 53098 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Foroughmand-Araabi, Mohammad Hadi
  7. Abstract:
  8. Evolutionary processes are the process of change in one or more physical and heritable characteristics that result from the occurrence of genetic changes (beneficial, harmful, or neutral) over time, and ultimately from generation to generation, depending on natural selection. Cancer is a genetic disease that occurs as a result of an evolutionary process by the somatic cells and examining the spatial characteristics of cancer can help understanding it. It is also important to examine the spatial configuration of cells considering their access to limiting factors such as nutrients and adequate space. In addition, paying attention to the gene expression, individually and collectively, will help to better understand cancer. Also due to the effect of genetic diversity in a cancerous tissue in its respond to treatment; the study of the spatial configuration can be considered more important. Due to its diversified regions, prostate cancer is a unique case study for spatial distribution analysis. In this dissertation, with the help of the wide gene expression data, we examine the forms of evolutionary processes, and try to categorize them and see what patterns they make. In this dissertation, we examined the spatial data of prostate cancer, and by examining the gene expression of several samples through tumor, we identified genes that are significantly more common in cancerous/normal areas and examined the distribution of these genes, showing that the majority of genes in cancerous areas have a distribution pattern similar to fractal (such as Koch snowflake) or quasi-fractal (like the Mandelbrot set) shapes. In this study, we took a step towards producing a statistical test that could be used to identify the distribution of genes as specific patterns
  9. Keywords:
  10. Cancer ; Prostate Cancer ; Spatial Distribution ; Evolutionary Process ; Fractals

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