Applying Fibonacci Numbers to Solve Real World Problems

This paper begins by outlining the mathematics behind the Fibonacci sequence, the Golden Ratio and the Golden Spiral. It then examines specific instances of the prevalence of Fibonacci numbers in nature. Various existing mathematical models for cancer tumor growth are evaluated. I then present my own model based upon the mathematics behind cell division in multicellular organisms, deriving differential equations in terms of the Golden Ratio (φ). While this model has not been tested yet, there does seem to be a strong mathematical and biological basis for it. The paper concludes by outlining possible limitations of my proposed model and potential areas for further research. While the areas of existence Fibonacci sequence in nature and cancer tumor modeling are extensively researched, I have clearly highlighted my original contribution in formulating a mathematical model in terms of the Golden Ratio.