Literature DB >> 12786312

Solution of the time-dependent diffusion equation for layered diffusive media by the eigenfunction method.

Fabrizio Martelli1, Angelo Sassaroli, Samuele Del Bianco, Yukio Yamada, Giovanni Zaccanti.   

Abstract

An exact solution of the time-dependent diffusion equation for the case of a two- and a three-layered finite diffusive medium is proposed. The method is based on the decomposition of the fluence rate in a series of eigenfunctions and upon the solution of the consequent transcendental equation for the eigenvalues obtained from the boundary conditions. Comparisons among the solution of the diffusion equation and the results of Monte Carlo simulations show the correctness of the proposed model.

Year:  2003        PMID： 12786312     DOI： 10.1103/PhysRevE.67.056623

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN： 1539-3755


  7 in total

1.  Double-layer estimation of intra- and extracerebral hemoglobin concentration with a time-resolved system.

Authors:  Louis Gagnon; Claudine Gauthier; Rick D Hoge; Frédéric Lesage; Juliette Selb; David A Boas
Journal:  J Biomed Opt       Date:  2008 Sep-Oct       Impact factor: 3.170

2.  Prolonged monitoring of cerebral blood flow and autoregulation with diffuse correlation spectroscopy in neurocritical care patients.

Authors:  Juliette Selb; Kuan-Cheng Wu; Jason Sutin; Pei-Yi Ivy Lin; Parisa Farzam; Sophia Bechek; Apeksha Shenoy; Aman B Patel; David A Boas; Maria Angela Franceschini; Eric S Rosenthal
Journal:  Neurophotonics       Date:  2018-11-13       Impact factor: 3.593

3.  Perturbation theory for the diffusion equation by use of the moments of the generalized temporal point-spread function. III. Frequency-domain and time-domain results.

Authors:  Angelo Sassaroli; Fabrizio Martelli; Sergio Fantini
Journal:  J Opt Soc Am A Opt Image Sci Vis       Date:  2010-07-01       Impact factor: 2.129

4.  Reliable recovery of the optical properties of multi-layer turbid media by iteratively using a layered diffusion model at multiple source-detector separations.

Authors:  Yu-Kai Liao; Sheng-Hao Tseng
Journal:  Biomed Opt Express       Date:  2014-02-27       Impact factor: 3.732

5.  Transcranial Optical Monitoring of Cerebral Hemodynamics in Acute Stroke Patients during Mechanical Thrombectomy.

Authors:  Rodrigo M Forti; Christopher G Favilla; Jeffrey M Cochran; Wesley B Baker; John A Detre; Scott E Kasner; Michael T Mullen; Steven R Messé; W Andrew Kofke; Ramani Balu; David Kung; Bryan A Pukenas; Neda I Sedora-Roman; Robert W Hurst; Omar A Choudhri; Rickson C Mesquita; Arjun G Yodh
Journal:  J Stroke Cerebrovasc Dis       Date:  2019-04-08       Impact factor: 2.136

6.  Optical characterization of two-layered turbid media for non-invasive, absolute oximetry in cerebral and extracerebral tissue.

Authors:  Bertan Hallacoglu; Angelo Sassaroli; Sergio Fantini
Journal:  PLoS One       Date:  2013-05-21       Impact factor: 3.240

7.  There's plenty of light at the bottom: statistics of photon penetration depth in random media.

Authors:  Fabrizio Martelli; Tiziano Binzoni; Antonio Pifferi; Lorenzo Spinelli; Andrea Farina; Alessandro Torricelli
Journal:  Sci Rep       Date:  2016-06-03       Impact factor: 4.379
  7 in total

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