Random Permeable Barrier Model MATLAB Code

Scripts for modeling the time-varying diffusion coefficient in biological tissue.

We are sharing scripts for modeling the dependence of diffusion on diffusion time, D(t), within permeable anisotropic microstructure of biological tissue.

The random permeable barrier model (RPBM) characterizes “disordered” microstructure. RPBM has been identified as a powerful tool for describing the mezoscopic structure of muscle tissue. The model has been used in vivo for quantification of muscle myofiber diameter and sarcolemma membrane permeability, among other applications.

To learn more, see the related publication and references.

Related Publication

Novikov DS, Fieremans E, Jensen JH, Helpern JA.
Random walk with barriers.
Nat Phys. 2011 Jun 1;7(6):508-514. doi: 10.1038/nphys1936

Please cite this work if you are using the random permeable barrier model in your research.


Novikov DS, Jensen JH, Helpern JA, Fieremans E.
Revealing mesoscopic structural universality with diffusion.
Proc Natl Acad Sci USA. 2014 Apr 8;111(14):5088-93. doi: 10.1073/pnas.1316944111

Fieremans E, Lemberskiy G, Veraart J, Sigmund EE, Gyftopoulos S, Novikov DS.
In vivo measurement of membrane permeability and myofiber size in human muscle using time-dependent diffusion tensor imaging and the random permeable barrier model.
NMR Biomed. 2017 Mar;30(3). 10.1002/nbm.3612.

Sigmund EE, Novikov DS, Sui D, Ukpebor O, Baete S, Babb JS, Liu K, Feiweier T, Kwon J, McGorty K, Bencardino J, Fieremans E.
Time-dependent diffusion in skeletal muscle with the random permeable barrier model (RPBM): application to normal controls and chronic exertional compartment syndrome patients.
NMR Biomed. 2014 May;27(5):519-28.. doi: 10.1002/nbm.3087


Questions about this resource may be directed to Gregory Lemberskiy, PhD.