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Abstract #4435

Power-Law Behaviour of the Diffusion-Weighted Signal Under Different B-Tensor Encoding Schemes

Maryam Afzali1, Santiago Aja-Fernandez1,2, and Derek K Jones1,3
1Cardiff University Brain Research Imaging Centre (CUBRIC), School of Psychology, Cardiff University, Cardiff, United Kingdom, 2Laboratorio de Procesado de Imagen, ETSI Telecomunicacion Edificio de las Nuevas Tecnologias, Campus Miguel Delibes s/n, Universidad de Valladolid, Valladolid, Spain, 3Mary MacKillop Institute for Health Research, Faculty of Health Sciences, Australian Catholic University, Melbourne, Victoria, Australia

It has been shown previously that for the linear (LTE), as well as planar tensor encoding (PTE) and in tissue with 'stick-like' geometry, the diffusion-weighted signal at high b-values follows a power-law. Specifically, the signal decays as $$$1/\sqrt{b}$$$ in LTE and $$$1/b$$$ in PTE. Here, we investigate whether power-law behaviors occur with other encodings and geometries. The results show that using an axisymmetric b-tensor a power-law only exists for stick-like geometries, using LTE and PTE. Finally, using ultra-strong gradients, we confirm –for the first time in vivo– that a power-law exists for PTE in white matter of the human brain.

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