Zobrazeno 1 - 10
of 547
pro vyhledávání: '"Novikov, Dmitry A."'
Water diffusion gives rise to micrometer-scale sensitivity of diffusion MRI (dMRI) to cellular-level tissue structure. The advent of precision medicine and quantitative imaging hinges on revealing the information content of dMRI, and providing its pa
Externí odkaz:
http://arxiv.org/abs/2409.03010
Autor:
Ades-Aron, Benjamin, Coelho, Santiago, Lemberskiy, Gregory, Veraart, Jelle, Baete, Steven, Shepherd, Timothy M., Novikov, Dmitry S., Fieremans, Els
The clinical translation of diffusion MRI (dMRI)-derived quantitative contrasts hinges on robust reproducibility, minimizing both same-scanner and cross-scanner variability. This study evaluates the reproducibility of higher-order diffusion metrics (
Externí odkaz:
http://arxiv.org/abs/2407.18253
A linear differential operator $T=Q(z)\frac{d}{dz}+P(z)$ with polynomial coefficients defines a continuous family of Hutchinson operators when acting on the space of positive powers of linear forms. In this context, $T$ has a unique minimal Hutchinso
Externí odkaz:
http://arxiv.org/abs/2406.10963
Autor:
Coelho, Santiago, Liao, Ying, Szczepankiewicz, Filip, Veraart, Jelle, Chung, Sohae, Lui, Yvonne W., Novikov, Dmitry S., Fieremans, Els
Joint modeling of diffusion and relaxation has seen growing interest due to its potential to provide complementary information about tissue microstructure. For brain white matter, we designed an optimal diffusion-relaxometry MRI protocol that samples
Externí odkaz:
http://arxiv.org/abs/2402.17175
Publikováno v:
Phys. D 427 (2021), Paper No. 133017
Let $F\in\mathbb{C}[x,y]$ be a polynomial, $\gamma(z)\in \pi_1(F^{-1}(z))$ a non-trivial cycle in a generic fiber of $F$ and let $\omega$ be a polynomial $1$-form, thus defining a polynomial deformation $dF+\epsilon\omega=0$ of the integrable foliati
Externí odkaz:
http://arxiv.org/abs/2401.05229
Autor:
Coronado-Leija, Ricardo, Abdollahzadeh, Ali, Lee, Hong-Hsi, Coelho, Santiago, Ades-Aron, Benjamin, Liao, Ying, Salo, Raimo A., Tohka, Jussi, Sierra, Alejandra, Novikov, Dmitry S., Fieremans, Els
Biophysical modeling of diffusion MRI (dMRI) offers the exciting potential of bridging the gap between the macroscopic MRI resolution and microscopic cellular features, effectively turning the MRI scanner into a noninvasive in vivo microscope. In bra
Externí odkaz:
http://arxiv.org/abs/2310.04608
Autor:
Liao, Ying, Coelho, Santiago, Chen, Jenny, Ades-Aron, Benjamin, Pang, Michelle, Osorio, Ricardo, Shepherd, Timothy, Lui, Yvonne W., Novikov, Dmitry S., Fieremans, Els
Publikováno v:
Imaging Neuroscience, 2, 1-17, 2024
Diffusion magnetic resonance imaging offers unique in vivo sensitivity to tissue microstructure in brain white matter, which undergoes significant changes during development and is compromised in virtually every neurological disorder. Yet, the challe
Externí odkaz:
http://arxiv.org/abs/2307.16386
Autor:
Chen, Jenny, Ades-Aron, Benjamin, Lee, Hong-Hsi, Mehrin, Subah, Pang, Michelle, Novikov, Dmitry S., Veraart, Jelle, Fieremans, Els
Various diffusion MRI (dMRI) preprocessing pipelines are currently available to yield more accurate diffusion parameters. Here, we evaluated accuracy and robustness of the optimized Diffusion parameter EStImation with Gibbs and NoisE Removal (DESIGNE
Externí odkaz:
http://arxiv.org/abs/2305.14445
Bounding the number of rational points of height at most $H$ on irreducible algebraic plane curves of degree $d$ has been an intense topic of investigation since the work by Bombieri and Pila. In this paper we establish optimal dependence on $d$, by
Externí odkaz:
http://arxiv.org/abs/2302.04209
Autor:
Novikov, Dmitry, Yakovenko, Sergei
Numerous problems of analysis (real and complex) and geometry (analytic, algebraic, Diophantine e.a.) can be reduced to calculation of the ``number of solutions'' of systems of equations, defined by algebraic equalities and differential equations wit
Externí odkaz:
http://arxiv.org/abs/2302.03513