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Physarum polycephalum

Physarum polycephalum. 1cm. Physarum polycephalum. Solving maze. Discrete Form. Discrete Form. Discrete Form. Start point Goal. Pressure. Length. Conductivity. Flux. Electric Pressure. Electric Resistance. Electric Current. Modeling of the flux of the sol. Pressure. Length.

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Physarum polycephalum

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  1. Physarum polycephalum 1cm

  2. Physarum polycephalum

  3. Solving maze

  4. Discrete Form

  5. Discrete Form

  6. Discrete Form Start point Goal Pressure Length Conductivity Flux

  7. Electric Pressure Electric Resistance Electric Current Modeling of the flux of the sol Pressure Length Conductivity Flux

  8. Kirchhoff law

  9. Electric sources FS FS

  10. Modeling of the tube growth :degenerate rate (constant)

  11. Model equations Flux of sol Tube growth

  12. T shape vessel The tube at dead end disappears

  13. Ring shape vessel Stable equilibrium point Unstable equilibrium point Only shortest tube remains

  14. Ring shape vessel Stable equilibrium point Unstable equilibrium point Both tubes remain

  15. Solving Maze

  16. Solving Maze スタート ゴール

  17. Solving Maze スタート ゴール

  18. Apply for road navigation system START GOAL

  19. Summary • We can reproduce the adaptive network of the true slime mold. • “Physarum Solver” can find the shortest path. Current Work • Simulation with many food sources

  20. That’s all. Thank you very much!!

  21. Apply for road navigation system START GOAL

  22. food Ex 2. Shortest path on Weighted graph food

  23. Ex 2. Shortest path on Weighted graph

  24. Ex 2. Shortest path on Weighted graph

  25. Solving Maze Does physarum have enough intelligence to solve the maze? START GOAL

  26. Shortest Path From Seattle to Houston

  27. Ex. 3 Path choice vessel Physarum food

  28. Model Equation One(Short) Both Model of Tube Growth

  29. Both tubes remain Stable equilibrium point Unstable equilibrium point Simulation Result

  30. Almost all tube remain 数値シミュレーション

  31. Simulation Result

  32. One tube remains (chose by initial condition ) Stable equilibrium point Unstable equilibrium point Simulation Result

  33. One tube remains (chose by initial condition ) 数値シミュレーション

  34. Simulation Result Both One(Short) Both One(initial condition) Model of Tube Growth

  35. Model Equation

  36. Simulation Result with each Number of the tube Flux

  37. Both tubes remain Simulation Result

  38. Application

  39. Application

  40. Thank you for your attention!!

  41. Modeling of the flux of the sol Poiseuille Flow

  42. Ex 2. Shortest path on Weighted graph

  43. One tube remains Simulation Result

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