Fabrizio Martelli

Summary

Affiliation: University of Florence
Country: Italy

Publications

  1. ncbi request reprint Perturbation model for light propagation through diffusive layered media
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze and Istituto Nazionale per la Fisica della Materia, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Phys Med Biol 50:2159-66. 2005
  2. ncbi request reprint Solution of the time-dependent diffusion equation for layered diffusive media by the eigenfunction method
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Florence, Italy
    Phys Rev E Stat Nonlin Soft Matter Phys 67:056623. 2003
  3. ncbi request reprint Procedure for retrieving the optical properties of a two-layered medium from time-resolved reflectance measurements
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze and Istituto Nazionale per la Fisica della Materia, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Opt Lett 28:1236-8. 2003
  4. pmc Perturbative forward solver software for small localized fluorophores in tissue
    F Martelli
    Dipartimento di Fisica e Astronomia dell Universit a degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Biomed Opt Express 3:26-36. 2012
  5. pmc Phantoms for diffuse optical imaging based on totally absorbing objects, part 1: Basic concepts
    Fabrizio Martelli
    Dipartimento di Fisica e Astronomia dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    J Biomed Opt 18:066014. 2013
  6. doi request reprint Retrieval procedure for time-resolved near-infrared tissue spectroscopy based on the optimal estimation method
    Fabrizio Martelli
    Dipartimento di Fisica e Astronomia dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Phys Med Biol 57:2915-29. 2012
  7. ncbi request reprint Solution of the time-dependent diffusion equation for a three-layer medium: application to study photon migration through a simplified adult head model
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Phys Med Biol 52:2827-43. 2007
  8. ncbi request reprint Phantom validation and in vivo application of an inversion procedure for retrieving the optical properties of diffusive layered media from time-resolved reflectance measurements
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze and Istituto Nazionale per la Fisica della Materia, Via G Sansone 1, 50019 Sesto Fiorentino, Florence, Italy
    Opt Lett 29:2037-9. 2004
  9. ncbi request reprint Heuristic Green's function of the time dependent radiative transfer equation for a semi-infinite medium
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Opt Express 15:18168-75. 2007
  10. doi request reprint Phantoms for diffuse optical imaging based on totally absorbing objects, part 2: experimental implementation
    Fabrizio Martelli
    Dipartimento di Fisica e Astronomia dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    J Biomed Opt 19:076011. 2014

Collaborators

Detail Information

Publications29

  1. ncbi request reprint Perturbation model for light propagation through diffusive layered media
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze and Istituto Nazionale per la Fisica della Materia, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Phys Med Biol 50:2159-66. 2005
    ..The forward solver presented in this paper can be of significant use in investigating the feasibility of real experiments, e.g. for functional imaging studies...
  2. ncbi request reprint Solution of the time-dependent diffusion equation for layered diffusive media by the eigenfunction method
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Florence, Italy
    Phys Rev E Stat Nonlin Soft Matter Phys 67:056623. 2003
    ..Comparisons among the solution of the diffusion equation and the results of Monte Carlo simulations show the correctness of the proposed model...
  3. ncbi request reprint Procedure for retrieving the optical properties of a two-layered medium from time-resolved reflectance measurements
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze and Istituto Nazionale per la Fisica della Materia, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Opt Lett 28:1236-8. 2003
    ..The inversion procedure does not require an initial guess for the unknown optical properties, but the starting value for the thickness of the first layer needs to be estimated with an error smaller than 50%...
  4. pmc Perturbative forward solver software for small localized fluorophores in tissue
    F Martelli
    Dipartimento di Fisica e Astronomia dell Universit a degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Biomed Opt Express 3:26-36. 2012
    ..With these subroutines, quantities such as reflectance, transmittance, and fluence rate can be calculated...
  5. pmc Phantoms for diffuse optical imaging based on totally absorbing objects, part 1: Basic concepts
    Fabrizio Martelli
    Dipartimento di Fisica e Astronomia dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    J Biomed Opt 18:066014. 2013
    ..The application of the equivalent black volume concept for grading different optical perturbations is demonstrated for some examples...
  6. doi request reprint Retrieval procedure for time-resolved near-infrared tissue spectroscopy based on the optimal estimation method
    Fabrizio Martelli
    Dipartimento di Fisica e Astronomia dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Phys Med Biol 57:2915-29. 2012
    ..Similarly, a more correct estimate of the errors of the forward model parameters improves the retrieval of the target parameters...
  7. ncbi request reprint Solution of the time-dependent diffusion equation for a three-layer medium: application to study photon migration through a simplified adult head model
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Phys Med Biol 52:2827-43. 2007
    ..25 mm(-1)...
  8. ncbi request reprint Phantom validation and in vivo application of an inversion procedure for retrieving the optical properties of diffusive layered media from time-resolved reflectance measurements
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze and Istituto Nazionale per la Fisica della Materia, Via G Sansone 1, 50019 Sesto Fiorentino, Florence, Italy
    Opt Lett 29:2037-9. 2004
    ..The first layer thickness could be retrieved with an error less than 50%. An example of retrieval of the optical properties of muscle from in vivo measurements during an arterial occlusion is shown...
  9. ncbi request reprint Heuristic Green's function of the time dependent radiative transfer equation for a semi-infinite medium
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Opt Express 15:18168-75. 2007
    ..Moreover the proposed solution can be useful to several research fields where the study of a transport process is fundamental...
  10. doi request reprint Phantoms for diffuse optical imaging based on totally absorbing objects, part 2: experimental implementation
    Fabrizio Martelli
    Dipartimento di Fisica e Astronomia dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    J Biomed Opt 19:076011. 2014
    ..In particular, we show that such a phantom can be used to generate any absorption perturbation by changing the volume and position of the totally absorbing inclusion...
  11. doi request reprint Fat emulsions as diffusive reference standards for tissue simulating phantoms?
    Paola Di Ninni
    Dipartimento di Fisica e Astronomia dell Università degli Studi di Firenze, Firenze, Italy
    Appl Opt 51:7176-82. 2012
    ..We have verified that this scaling property depends on the composition of the fat emulsions: If the ingredients exactly scale with the concentration then the reduced scattering coefficient almost exactly scale as well...
  12. ncbi request reprint Penetration depth of light re-emitted by a diffusive medium: theoretical and experimental investigation
    Samuele Del Bianco
    Dipartimento di Fisica, dell Università degli Studi di Firenze, Istituto Nazionale per la Fisica della Materia, Via G Sansonee, 50019 Sesto Fiorentino, Firenze, Italy
    Phys Med Biol 47:4131-44. 2002
    ..In particular, the depth reached by received photons provides overall information on the volume of the tissue actually investigated, while the mean path is strictly related to the sensitivity to local variations of absorption...
  13. ncbi request reprint Measurements of optical properties of high-density media
    Giovanni Zaccanti
    Dipartimento di Fisica dell Università degli Studi di Firenze and Istituto Nazionale per la Fisica della Materia, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Appl Opt 42:4023-30. 2003
    ..A comparison with an approximate theoretical model based on the Foldy-Twersky equation is also reported. The model provides a good description of the dependence of mu(s) on particle concentration...
  14. ncbi request reprint Effect of the refractive index mismatch on light propagation through diffusive layered media
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze and Istituto Nazionale per la Fisica della Materia, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Phys Rev E Stat Nonlin Soft Matter Phys 70:011907. 2004
    ..The solution has been validated by comparisons with the results of Monte Carlo simulations. An excellent description of light propagation is given even for a high refractive index mismatch...
  15. doi request reprint Optimal estimation reconstruction of the optical properties of a two-layered tissue phantom from time-resolved single-distance measurements
    Fabrizio Martelli
    Universita degli Studi di Firenze, Dipartimento di Fisica e Astronomia, Via G Sansone 1, Sesto Fiorentino 50019, Firenze, Italy
    J Biomed Opt 20:115001. 2015
    ..A priori information on fit parameters and fixed forward model parameters clearly improves robustness and accuracy of the inversion procedure...
  16. pmc There's plenty of light at the bottom: statistics of photon penetration depth in random media
    Fabrizio Martelli
    Universita degli Studi di Firenze, Dipartimento di Fisica e Astronomia, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Sci Rep 6:27057. 2016
    ..Validation of the theory by means of comparisons with Monte Carlo simulations is also presented. The results are of interest for many research fields such as biomedical optics, advanced microscopy and disordered photonics. ..
  17. pmc Carbon nanohorn-based nanofluids: characterization of the spectral scattering albedo
    Luca Mercatelli
    National Research Council National Institute of Optics CNR INO, Largo E, Fermi, 6, Florence, 50125, Italy
    Nanoscale Res Lett 7:96. 2012
    ..05.U- carbon/carbon-based materials; 78.67.Bf optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures, nanocrystals, nanoparticles, and nanoclusters...
  18. ncbi request reprint Method to measure the optical properties of small volumes of diffusive media
    Giovanni Zaccanti
    Dipartimento di Fisica dell Universté degli Studi di Firenze and the Istituto Nazionale per la Fisica della Materia, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Appl Opt 41:7317-24. 2002
    ..The inversion procedure is based on the solution of the diffusion equation obtained with a perturbative approach. The method has been validated with Monte Carlo results. Examples of experimental results are reported...
  19. doi request reprint Intralipid: towards a diffusive reference standard for optical tissue phantoms
    Paola Di Ninni
    Dipartimento di Fisica e Astronomia dell Università degli Studi di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Phys Med Biol 56:N21-8. 2011
    ..8 nm. These results suggest that Intralipid 20% can be the first step towards a diffusive reference standard for tissue-simulating phantoms...
  20. doi request reprint The use of India ink in tissue-simulating phantoms
    Paola Di Ninni
    Dipartimento di Fisica e Astronomia dell Università degli Studi di Firenze, Firenze, Italy
    Opt Express 18:26854-65. 2010
    ..A similar accuracy is not easily obtained with the complicated procedures necessary for measurements of absorption coefficient...
  21. pmc Absorption and scattering properties of carbon nanohorn-based nanofluids for direct sunlight absorbers
    Luca Mercatelli
    National Institute of Optics, National Council of Research, Firenze, 50125, Italy
    Nanoscale Res Lett 6:282. 2011
    ..pacs: 78.40.ri, 78.35.+c, 78.67.bf, 88.40.fh, 88.40.fr, 81.05.u...
  22. pmc Effect of dependent scattering on the optical properties of Intralipid tissue phantoms
    Paola Di Ninni
    Dipartimento di Fisica e Astronomia dell Università degli Studi di Firenze Via G Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy
    Biomed Opt Express 2:2265-78. 2011
    ..Due to the intrinsic limitations of the different techniques proposed for measuring the optical properties it seems difficult to obtain a similar accuracy for solid phantoms...
  23. ncbi request reprint Perturbation theory for the diffusion equation by use of the moments of the generalized temporal point-spread function. I. Theory
    Angelo Sassaroli
    Department of Biomedical Engineering, Bioengineering Center, Tufts University, 4 Colby Street, Medford, Massachusetts 02155, USA
    J Opt Soc Am A Opt Image Sci Vis 23:2105-18. 2006
    ..In a companion paper [J. Opt. Soc. Am. A23, 2119 (2006)] we discuss the conditions of applicability of the theory in practical cases found in diffuse optical imaging of biological tissues...
  24. ncbi request reprint Perturbation theory for the diffusion equation by use of the moments of the generalized temporal point-spread function. II. Continuous-wave results
    Angelo Sassaroli
    Department of Biomedical Engineering, Bioengineering Center, Tufts University, 4 Colby Street, Medford, Massachusetts 02155, USA
    J Opt Soc Am A Opt Image Sci Vis 23:2119-31. 2006
    ..We also provide formulas for the calculation of the moments up to the fourth order for which it is clear how lower-order moments can be used for the calculation of higher-order moments...
  25. ncbi request reprint Absorption and scattering perturbations in homogeneous and layered diffusive media probed by time-resolved reflectance at null source-detector separation
    Lorenzo Spinelli
    INFM Dipartimento di Fisica and IFN CNR, Politecnico di Milano, Piazza L da Vinci 32, I 20133 Milan, Italy
    Phys Rev E Stat Nonlin Soft Matter Phys 74:021919. 2006
    ..Exhaustive investigation in the parameters space is reported...
  26. ncbi request reprint Analytical approximate solutions of the time-domain diffusion equation in layered slabs
    Fabrizio Martelli
    Dipartimento di Fisica dell Università degli Studi di Firenze and Istituto Nazionale di Fisica della Materia, Italy
    J Opt Soc Am A Opt Image Sci Vis 19:71-80. 2002
    ....
  27. ncbi request reprint In vivo time-resolved reflectance spectroscopy of the human forehead
    Daniela Comelli
    Centre of Ultrafast and Ultraintense Optical Science, Consiglio Nazionale delle Ricerche, Istituto Nazionale de Fisica della Materia, Politecnico di Milano, Milano, Italy
    Appl Opt 46:1717-25. 2007
    ..e., scalp and skull) than to deeper layer ones (white and gray matter). In particular, for the shorter interfiber distances, the recovered values can be assumed as a good estimate of the optical properties of the first layer...
  28. ncbi request reprint Assessment of an in situ temporal calibration method for time-resolved optical tomography
    Jeremy C Hebden
    University College London, Department of Medical Physics and Bioengineering, 11 20 Capper Street, London WC1E 6JA, UK
    J Biomed Opt 8:87-92. 2003
    ..The effectiveness of the method is briefly demonstrated by imaging a solid object with tissue-equivalent optical properties...
  29. ncbi request reprint Time-resolved diffuse reflectance using small source-detector separation and fast single-photon gating
    Antonio Pifferi
    IIT, ULTRAS INFM CNR and IFN CNR, Dipartimento di Fisica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I 20133 Milan, Italy
    Phys Rev Lett 100:138101. 2008
    ..Finally, the proposed approach proved valuable to detect in vivo a task-related brain activation...