Biomathematics

((Draft notes))

Biomathematics includes the study of

• L-Systems (Lindenmayer) for models of plant growth
• Fractals (Bernoit Mandelbrot)
• Reaction-Diffusion systems (Alan Turing)
• Cellular automata
  • do a course in system dynamics
    • https://towardsdatascience.com/simple-but-stunning-animated-cellular-automata-in-python-c912e0c156a9
  • A cellular automaton relies on and is motivated by the principles of the living organisms in nature.
  • It consists of a grid of cells each having some state.
  • Every cell advances in time according to some mathematical function of the neighboring cells.
  • Thus, the entire automata behave like a living organism.
    • https://mathworld.wolfram.com/CellularAutomaton.html
  • https://playgameoflife.com/
  • https://www.youtube.com/watch?v=viA-HIW-2C4
  • https://www.youtube.com/watch?v=FWSR_7kZuYg
  • https://github.com/thearn/game-of-life
    • https://www.reddit.com/r/Python/comments/1z46au/fast_game_of_life_implementation_in_python_using/
• chaotic dynamics
• neural networks
• Encourage non-linear thinking:
  • [linear = scalable is efficient but vulnerable;
  • cyclic (non-linear) is reproducible and resilient. (Will Harris)
  • and natural cycles (cycles of nature):
    • carbon
    • water
    • mineral
    • microbial
    • energy