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POST_IDEAS.md

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fix hessian notebook

the three formalisms for modeling stochastic chemical reactions:

  • SSA / Gillespie / Kinetic Monte Carlo
  • Master Equation
  • Chemical Langevin

integration vs solving an ODE numerically

identifiability analysis (practical, theoretical,...)

Fitting SDEs to data

can you learn from the wiggles? estimating kinetic parameters from mean and variance (higher moments)

how many moments do you need to disentangle a mixture of gaussians? of distributions from any family? Are moments even the right statistic to compute from a sample?

how do floats work?

multiplying and dividing pdfs / RVs

estimating probability densities by kernel density estimation

logarithms are scalar multiples of one another

table of concentrations to copy number per cell (just multiply by the volume of a typical cell). Variance as a function of cell size?

mutual information of continuous variables how do you evaluate mutual information between two continuous sets, with relatively sparse observations?

"The name of the wind": PDE visualizations, and how you can describe these phenomena

How do you make a spline that fits some points? You have constraints on the derivatives. Do you just solve a linear system?

noise processes in PCR + HTS