## Archive for the 'mathematiques de la diffusion des tissues' Category

### matlab .m; random walk

Routines for simulating paths of stochastic processes: random walk, Poisson process, Brownian motion and their multidimensional versions, as well as birth-and-death processes, branching and reproduction models. See

http://www.math.uu.se/research/telecom/software/

2002; birthdeath.m, bm3plot.m, brownian.m, galtonwatson.m, moran.m, poisson2d.m, poisson3d.m, poissonjp.m, poissonti.m, ranwalk2d.m, ranwalk3d.m, ranwalk.m, README, rw3plot.m

comment: Intuitive, but not the most efficient way of programming.

Ref.

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a 2-Dimensional Random Walk process program in matlab.

comment: A couple remarks for this homework solution:
– several (most!) variables are never used (T,s,t, mx,my,mr)
– explain what the input variable n is in the help, because not « any value of time n » is valid. (it can be a positive integer only!)
– add an error check for that in the code
– The help can be improved. Explain what the user may expect (a plot!).
– why not return both X and Y?
– Have you actually typed « help two_D_Rand_walk »? What you get is not very informative for the user, isn’t it? Or do you want a lot of emails 😉

Ref.

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http://ocw.mit.edu/OcwWeb/Biological-Engineering/20-011JSpring-2004/Simulations/

# Simulations

MATLAB® software is required to run the .m and .fig files in this section.Resources

Monte Carlo (PDF)

Matlab Tutorial (PDF)

PCR simulator

pcr_sim.m (M)
Replicate a certain number of starting copies of DNA for several cycles. Try different probabilities of replication to get different histograms showing how much DNA is produced over many trials.

pcr_sim.fig (FIG)
Put this in the same directory as pcr_sim.m to be able to run « pcr_sim » from the matlab prompt.

Random Walk – 2D with 2 Particles (M)
Look at how these simulations work and try making your own 3D random walk or have your particle trace out a trajectory in Matlab.

Lab

Random Walk – 2D (M)

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———-tutorial of Matlab (first approach for dummies) , exemple walk 1D:

web.mit.edu/14.451/www/Matlab_Tutorial.pdf

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Publicités

### matlab .dll Monte Carlo Simulation for Photon Migration Inside Biological Tissue

Monte Carlo Simulation for Photon Migration Inside Biological Tissue (version 1.3)

The main part of the program is done by a .DLL windows library. Source not provided. If you want to do calculations, then the program is excellent. If you want to see source code, then the program is poor.

### DOT diffuse optical tomography

Diffuse optical tomography (DOT) uses near infrared light to generate images or signals of the body. The technique is sensitive to the optocal absorption of some components of the body, such as oxy-hemoglobin and deoxy-hemoglobin.

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