Efficient implementations of a Born Series for computing photoacoustic field from a collection of erythrocytes

Numerical implementation of the Born series procedure is a computationally expensive task. Various computational strategies have been adopted and tested in this work for fast execution of the convergent Born series (CBS) algorithm for solving inhomogeneous Helmholtz equation in the context of biomed...

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Main Authors: Ujjal Mandal, Navroop Singh, Kartikay Singh, Vinit Nana Hagone, Jagpreet Singh, Anshu S. Anand, Ben T. Cox, Ratan K. Saha
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:Photoacoustics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2213597925000473
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author Ujjal Mandal
Navroop Singh
Kartikay Singh
Vinit Nana Hagone
Jagpreet Singh
Anshu S. Anand
Ben T. Cox
Ratan K. Saha
author_facet Ujjal Mandal
Navroop Singh
Kartikay Singh
Vinit Nana Hagone
Jagpreet Singh
Anshu S. Anand
Ben T. Cox
Ratan K. Saha
author_sort Ujjal Mandal
collection DOAJ
description Numerical implementation of the Born series procedure is a computationally expensive task. Various computational strategies have been adopted and tested in this work for fast execution of the convergent Born series (CBS) algorithm for solving inhomogeneous Helmholtz equation in the context of biomedical photoacoustics (PAs). The PA field estimated by the CBS method for a solid circular disk approximating a red blood cell exhibits excellent agreement with the analytical result. It is observed that PA pressure map for a collection of red blood cells (mimicking blood) retains the signature of multiple scattering of acoustic waves by the acoustically inhomogeneous PA sources. The developed numerical tool realizing the CBS algorithm compatible with systems having multiple graphics processing units can be utilized further for accurate and fast estimation of the PA field for large tissue media.
format Article
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issn 2213-5979
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publishDate 2025-06-01
publisher Elsevier
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series Photoacoustics
spelling doaj-art-a256c54345d74c69845fb571da9e5c052025-08-20T02:19:47ZengElsevierPhotoacoustics2213-59792025-06-014310072410.1016/j.pacs.2025.100724Efficient implementations of a Born Series for computing photoacoustic field from a collection of erythrocytesUjjal Mandal0Navroop Singh1Kartikay Singh2Vinit Nana Hagone3Jagpreet Singh4Anshu S. Anand5Ben T. Cox6Ratan K. Saha7Department of Applied Sciences, Indian Institute of Information Technology Allahabad, Jhalwa, Prayagraj, 211015, Uttar Pradesh, IndiaDepartment of Computer Science and Engineering, Indian Institute of Technology Ropar, Street 29, Ropar, 140001, Punjab, IndiaDepartment of Computer Science and Engineering, Indian Institute of Technology Ropar, Street 29, Ropar, 140001, Punjab, IndiaDepartment of Computer Science and Engineering, Indian Institute of Technology Ropar, Street 29, Ropar, 140001, Punjab, IndiaDepartment of Computer Science and Engineering, Indian Institute of Technology Ropar, Street 29, Ropar, 140001, Punjab, IndiaDepartment of Information Technology, Indian Institute of Information Technology Allahabad, Jhalwa, Prayagraj, 211015, Uttar Pradesh, IndiaDepartment of Medical Physics and Biomedical Engineering, University College London, Gower Street, London, WC1E 6BT, UKDepartment of Applied Sciences, Indian Institute of Information Technology Allahabad, Jhalwa, Prayagraj, 211015, Uttar Pradesh, India; Corresponding author.Numerical implementation of the Born series procedure is a computationally expensive task. Various computational strategies have been adopted and tested in this work for fast execution of the convergent Born series (CBS) algorithm for solving inhomogeneous Helmholtz equation in the context of biomedical photoacoustics (PAs). The PA field estimated by the CBS method for a solid circular disk approximating a red blood cell exhibits excellent agreement with the analytical result. It is observed that PA pressure map for a collection of red blood cells (mimicking blood) retains the signature of multiple scattering of acoustic waves by the acoustically inhomogeneous PA sources. The developed numerical tool realizing the CBS algorithm compatible with systems having multiple graphics processing units can be utilized further for accurate and fast estimation of the PA field for large tissue media.http://www.sciencedirect.com/science/article/pii/S2213597925000473Helmholtz equationGreen’s functionConvergent Born seriesMultiple scatteringMulti-thread/parallel computationGPU computation
spellingShingle Ujjal Mandal
Navroop Singh
Kartikay Singh
Vinit Nana Hagone
Jagpreet Singh
Anshu S. Anand
Ben T. Cox
Ratan K. Saha
Efficient implementations of a Born Series for computing photoacoustic field from a collection of erythrocytes
Photoacoustics
Helmholtz equation
Green’s function
Convergent Born series
Multiple scattering
Multi-thread/parallel computation
GPU computation
title Efficient implementations of a Born Series for computing photoacoustic field from a collection of erythrocytes
title_full Efficient implementations of a Born Series for computing photoacoustic field from a collection of erythrocytes
title_fullStr Efficient implementations of a Born Series for computing photoacoustic field from a collection of erythrocytes
title_full_unstemmed Efficient implementations of a Born Series for computing photoacoustic field from a collection of erythrocytes
title_short Efficient implementations of a Born Series for computing photoacoustic field from a collection of erythrocytes
title_sort efficient implementations of a born series for computing photoacoustic field from a collection of erythrocytes
topic Helmholtz equation
Green’s function
Convergent Born series
Multiple scattering
Multi-thread/parallel computation
GPU computation
url http://www.sciencedirect.com/science/article/pii/S2213597925000473
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