• Chinese Optics Letters
  • Vol. 14, Issue 7, 071702 (2016)
Lin Zhang1, Chuangjian Cai1, Yanlu Lv1, and Jianwen Luo1、2、*
Author Affiliations
  • 1Department of Biomedical Engineering, Tsinghua University, Beijing 100084, China
  • 2Center for Biomedical Imaging Research, Tsinghua University, Beijing 100084, China
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    DOI: 10.3788/COL201614.071702 Cite this Article Set citation alerts
    Lin Zhang, Chuangjian Cai, Yanlu Lv, Jianwen Luo. Early-photon guided reconstruction method for time-domain fluorescence lifetime tomography[J]. Chinese Optics Letters, 2016, 14(7): 071702 Copy Citation Text show less

    Abstract

    A reconstruction method guided by early-photon fluorescence yield tomography is proposed for time-domain fluorescence lifetime tomography (FLT) in this study. The method employs the early-arriving photons to reconstruct a fluorescence yield map, which is utilized as a priori information to reconstruct the FLT via all the photons along the temporal-point spread functions. Phantom experiments demonstrate that, compared with the method using all the photons for reconstruction of fluorescence yield and lifetime maps, the proposed method can achieve higher spatial resolution and reduced crosstalk between different targets without sacrificing the quantification accuracy of lifetime and contrast between heterogeneous targets.
    D(r)c2Φx,m2(r,t)t+1c(3D(r)μa+1)Φx,m(r,t)t+μaΦx,m(r,t)·[D(r)Φx,m(r,t)]=sx,m(r,t),(1)

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    {Φm(rd,rs,t)=Ωw(r,rd,rs,t)*exp(tτ(r))η(r)τ(r)d3rw(r,rd,rs,t)=Gm(r,rd,t)*Φx(rs,r,t),(2)

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    {Φm(rd,rs,tgate)=ΩWn(r,rd,rs,tgate)η(r)d3rWn(r,rd,rs,tgate)=[w(r,rd,rs,t)*exp(t/τ0)]t=tgateΦx(rs,r,tgate).(3)

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    Rη=argminη0WneRηΦme22+λIη22,(4)

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    0tΦm(rd,rs,t)dt=ΩW(r,rd,rs,t)η(r)d3rΩw(r,rd,rs,t)*exp(tΓ(r))η(r)d3r,(5)

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    Rϕm(rd,rs,t)Ym(rd,rs,t)=Ωw(r,rd,rs,t)*exp(tΓ(r))Rη(r)d3r,(6)

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    Ym(rd,rs,t)=Ym(rd,rs,t)/Ym(rd,rs,tend)×Rϕm(rd,rs,tend).(7)

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    RΦ=f(Γ).(8)

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    RΦi=f(Γ)i=n=1NvΔVRη(n)[w(n,di,si,t)*exp(t·Γ(n))]t=ti.(9)

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    RΦi=n=1NvΔVRη(n)Γ(n)[w(n,di,si,t)*exp(t·Γ(n))]t=ti.(10)

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    Γ=argminΓ>0(f(Γ)RΦ22+αΓ22+β),(11)

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    Lin Zhang, Chuangjian Cai, Yanlu Lv, Jianwen Luo. Early-photon guided reconstruction method for time-domain fluorescence lifetime tomography[J]. Chinese Optics Letters, 2016, 14(7): 071702
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