Averaging Principle and Diffusion Approximation for Switching Processes

A coupled radiative transfer and diffusion approximation model for the solution of the forward problem and the a-priori fluorophore distribution estimation in fluorescence imaging

10.1117/12.808116 ◽

2009 ◽

Author(s):

D. Gorpas ◽

D. Yova ◽

K. Politopoulos

Keyword(s):

Radiative Transfer ◽

Fluorescence Imaging ◽

Diffusion Approximation ◽

A Priori ◽

Forward Problem ◽

Approximation Model ◽

Distribution Estimation ◽

On Stochastic Calculus and Diffusion Approximation to Markov Processes

Chaos and Complex Systems ◽

10.1007/978-3-642-33914-1_31 ◽

2013 ◽

pp. 239-243

Author(s):

Gabriel V. Orman ◽

Irinel Radomir

Keyword(s):

Markov Processes ◽

Diffusion Approximation ◽

Stochastic Calculus ◽

The radiative transfer equations: Existence of solutions and diffusion approximation under accretivity assumptions — A survey

Transport Theory and Statistical Physics ◽

10.1080/00411458708204308 ◽

1987 ◽

Vol 16 (4-6) ◽

pp. 637-652 ◽

Cited By ~ 1

Author(s):

C. Bardos ◽

F. Golse ◽

B. Perthame

Keyword(s):

Radiative Transfer ◽

Diffusion Approximation ◽

Existence Of Solutions ◽

Transfer Equations ◽

Radiative Transfer Equations ◽

Dual coupled radiative transfer equation and diffusion approximation for the solution of the forward problem in fluorescence molecular imaging

10.1117/12.907811 ◽

2012 ◽

Author(s):

Dimitris Gorpas ◽

Stefan Andersson-Engels

Keyword(s):

Molecular Imaging ◽

Radiative Transfer ◽

Diffusion Approximation ◽

Transfer Equation ◽

Forward Problem ◽

And Diffusion ◽

Fluorescence Molecular Imaging

Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drv066 ◽

2016 ◽

Vol 36 (4) ◽

pp. 1536-1569 ◽

Cited By ~ 3

Author(s):

V. Bonnaillie-Noël ◽

J. A. Carrillo ◽

T. Goudon ◽

G. A. Pavliotis

Keyword(s):

Numerical Calculation ◽

Diffusion Approximation ◽

Diffusion Coefficients ◽

Kinetic Equations ◽

A three-dimensional finite elements approach for the coupled radiative transfer equation and diffusion approximation modeling in fluorescence imaging

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/j.jqsrt.2009.11.006 ◽

2010 ◽

Vol 111 (4) ◽

pp. 553-568 ◽

Cited By ~ 19

Author(s):

Dimitris Gorpas ◽

Dido Yova ◽

Konstantinos Politopoulos

Keyword(s):

Finite Elements ◽

Radiative Transfer ◽

Fluorescence Imaging ◽

Diffusion Approximation ◽

Transfer Equation ◽

Three Dimensional ◽

Coupled radiative transfer equation and diffusion approximation model for photon migration in turbid medium with low-scattering and non-scattering regions

Physics in Medicine and Biology ◽

10.1088/0031-9155/50/20/011 ◽

2005 ◽

Vol 50 (20) ◽

pp. 4913-4930 ◽

Cited By ~ 68

Author(s):

Tanja Tarvainen ◽

Marko Vauhkonen ◽

Ville Kolehmainen ◽

Simon R Arridge ◽

Jari P Kaipio

Keyword(s):

Radiative Transfer ◽

Diffusion Approximation ◽

Transfer Equation ◽

Turbid Medium ◽

Photon Migration ◽

Approximation Model ◽

On the Poisson Equation and Diffusion Approximation. I

The Annals of Probability ◽

10.1214/aop/1015345596 ◽

2001 ◽

Vol 29 (3) ◽

pp. 1061-1085 ◽

Cited By ~ 92

Author(s):

Yu. Veretennikov ◽

E. Pardoux

Keyword(s):

Poisson Equation ◽

Diffusion Approximation ◽

The Poisson Equation ◽

Finite element model for the coupled radiative transfer equation and diffusion approximation

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1451 ◽

2005 ◽

Vol 65 (3) ◽

pp. 383-405 ◽

Cited By ~ 37

Author(s):

T. Tarvainen ◽

M. Vauhkonen ◽

V. Kolehmainen ◽

J. P. Kaipio

Keyword(s):

Finite Element ◽

Radiative Transfer ◽

Finite Element Model ◽

Diffusion Approximation ◽

Transfer Equation ◽

Element Model ◽