Fractal Open Problems in Cancer Research, Medicine, Biomedicine, Clinical Sciences, and Dentistry
Abstract:
Fractal dimension is an important concept in various fields of science and mathematics, particularly in the study of complex systems and geometrical patterns. Fractal dimension is significant in understanding complex structures, measuring Complexity. In physics, fractal dimensions are used to study various phenomena, including the distribution of galaxies in the universe, phase transitions, and patterns in chaotic systems. Understanding these dimensions helps in making predictions and understanding underlying processes. On another different note, fractal dimension can be applied in environmental studies, such as analyzing the patterns of vegetation, fractal characteristics of river networks, and the distribution of pollutants in complex ecosystems. This helps in modeling and managing natural resources more effectively. In the field of computer science and image processing, fractal dimensions are used to analyze and compress images. Fractals can describe the textures and patterns found in images, which can lead to better image compression algorithms and enhancements in image recognition technologies. Fractal analysis is employed in finance to study market behavior and stock price movements. The fractal dimension can help analyze market volatility and predict trends by capturing the complex behaviours of financial systems. In biology, fractals are used to model various structures like blood vessels, neural networks, and the branching of trees. Fractal analysis can aid in understanding biological growth patterns and pathological changes, such as tumor growth. Fractals have inspired art and architecture by introducing concepts of self-similarity and complexity. Artists and architects use fractal patterns to create visually appealing designs that resonate with natural forms and structures. Overall, the importance of fractal dimension lies in its ability to bridge disciplines, providing insights into complex systems and offering tools for better analysis and understanding of natural and artificial structures. The current exposition provides a plethora of numerous potential fractal open problems to establish a next generation research platform combing fractal oncology, fractal biomedicine, fractal medicine and fractal clinical sciences.
