Mathematics of Ions in Channels and Solutions: Stochastic Derivations, Direct, Variational and Inverse Solutions that fit Data
Mathematics of Molecular Biology
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1. Mathematics of Molecular Biolo…
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2. A few atoms make a BIG Differe…
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3. General Theme Mathematics of M…
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4. How does it work?
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5. Ion Channels are the Valves of…
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6. Ion Channels are Biological De…
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7. Channels are Selective Molecul…
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8. Different Types of Channels us…
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9. Multi-Scale Issues are Always …
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10. Thousands of Molecular Biologi…
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11. SINGLE isolated RyR Channels
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12. Channel Structure Does Not Cha…
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13. Where to start?
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14. Atomic Scale Engineering
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15. Uncalibrated Simulations will …
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16. Where to start?
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17. Reduced Models are Needed
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18. Biology is Easier than Physics
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19. Multi-scale Engineering is MUC…
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20. Reduced models exist
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21. Inverse Problems
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22. Bioengineers: this is reverse …
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23. Ill posed problems
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24. Inverse Problems: many answers…
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25. Molecular Dynamics usually yie…
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26. Crowded Ions and Side Chains
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27. Ions are Crowded
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28. Crowded Active Sites in 573 En…
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29. EC2: TRANSFERASES
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30. Everything Interacts with Ever…
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31. Stochastic PDE and Field Theor…
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32. Always start with Trajectories
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33. From Trajectories to Probabili…
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34. Trajectories in Condensed Phas…
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35. Theory of Stochastic Processes
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36. Langevin Equations Bulk Soluti…
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37. Electric Force
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38. Sum the traqjectories
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39. More Math Many papers
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40. Device Equation
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41. Conditional PNP
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42. Probability and Conditional Pr…
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43. Conditioning and Correlations
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44. Kirchoff's Current Law
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45. Science, not Mathematics
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46. Everything Interacts
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47. Poisson-Nernst-Planck
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48. Semiconductor Equations
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49. Counting at low resolution giv…
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50. Solution of PNP Equation
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51. Solution was actually DERIVED
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52. Solution of PNP Equation
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53. Solution of Langevin Equation
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54. Solution of Langevin Equation
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55. Overwhelming effoect of Correl…
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56. Classical Chemistry ignores Co…
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57. Theory of Ideal Gases
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58. Generalization of 'Law' of Mas…
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59. The Law of Mass Action
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60. Law of Mass Action
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61. Nothing is Ideal!
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62. Highly Compressible Plasma
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63. Ionic Solutions are Complex Fl…
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64. Everything is hidden
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65. Law of Mass Action
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66. Macroscopic Models are True IN…
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67. Inconsistent with Conservation…
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68. All BIOLOGY OCCURS IN CHARGED …
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69. Inconsistent Treatments
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