Modelling a Dynamic Magneto-Agglutination Bioassay

Robert R Hughes; Aaron S Fishman; Kathryn  Lamb-Riddell; Valentina Sleigh Muñoz; Alan R Champneys; Janice Kiely; Richard W Luxton

doi:10.1016/j.bios.2022.114745

Modelling a Dynamic Magneto-Agglutination Bioassay

Robert R Hughes
, Aaron S Fishman
, Kathryn Lamb-Riddell
, Valentina Sleigh Muñoz
, Alan R Champneys
, Janice Kiely
, Richard W Luxton

Ultrasonics and Non-destructive Testing (UNDT)

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (Scopus)

Abstract

The process of developing an end-to-end model of a magneto-immunoassay is described, simulating the agglutination effect due to the specific binding of bacteria to paramagnetic particles. After establishing the properties of the dose-specific agglutination through direct imaging, a microfluidic assay was used to demonstrate changes in the magnetophoretic transport dynamics of agglutinated clusters via transient inductive magentometer measurements. End-to-end mathematical modelling is used to establish the physical processes underlying the assay. First, a modification of the Becker--Döring nucleation kinetic equations is used to establish a relationship between analyte dose and average cluster size. Next, Stokes flow equations are used to establish a relationship between cluster size and speed of motion within the fluid chamber. This predicts a cluster-size dynamic profile of concentration of PMPs versus time when the magnetic field is switched between the two actuated magnets. Finally, inductive modelling is carried out to predict the response of the magnetometer circuit in response to the dynamics of magnetic clusters. The predictions of this model are shown to agree well with the results of experiments, and to predict the shape of the dose-response curve.

Original language	English
Article number	114745
Number of pages	10
Journal	Biosensors and Bioelectronics
Volume	222
Early online date	28 Sept 2022
DOIs	https://doi.org/10.1016/j.bios.2022.114745
Publication status	Published - 15 Feb 2023

Bibliographical note

Funding Information:
Researchers at the University of the West of England acknowledge the support of the NIHR i4i programme (II-LB-0417-20004). Dr Hughes would like to acknowledge the training from BristolBridge (grant number EP/ M027546/1) under the Engineering and Physical Sciences Research Council (EPSRC-https://epsrc.ukri.org/) Bridging the Gaps between the Engineering and Physical Sciences and Antimicrobial Resistance cross-council AMR initiative.

Funding Information:
Researchers at the University of the West of England acknowledge the support of the NIHR i4i programme (II-LB-0417-20004). Dr Hughes would like to acknowledge the training from BristolBridge (grant number EP/ M027546/1) under the Engineering and Physical Sciences Research Council (EPSRC- https://epsrc.ukri.org/ ) Bridging the Gaps between the Engineering and Physical Sciences and Antimicrobial Resistance cross-council AMR initiative.

Publisher Copyright:
© 2022 The Authors

Research Groups and Themes

Engineering Mathematics Research Group

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10.1016/j.bios.2022.114745Licence: CC BY

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Cite this

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title = "Modelling a Dynamic Magneto-Agglutination Bioassay",

abstract = "The process of developing an end-to-end model of a magneto-immunoassay is described, simulating the agglutination effect due to the specific binding of bacteria to paramagnetic particles. After establishing the properties of the dose-specific agglutination through direct imaging, a microfluidic assay was used to demonstrate changes in the magnetophoretic transport dynamics of agglutinated clusters via transient inductive magentometer measurements. End-to-end mathematical modelling is used to establish the physical processes underlying the assay. First, a modification of the Becker--D{\"o}ring nucleation kinetic equations is used to establish a relationship between analyte dose and average cluster size. Next, Stokes flow equations are used to establish a relationship between cluster size and speed of motion within the fluid chamber. This predicts a cluster-size dynamic profile of concentration of PMPs versus time when the magnetic field is switched between the two actuated magnets. Finally, inductive modelling is carried out to predict the response of the magnetometer circuit in response to the dynamics of magnetic clusters. The predictions of this model are shown to agree well with the results of experiments, and to predict the shape of the dose-response curve. ",

author = "Hughes, \{Robert R\} and Fishman, \{Aaron S\} and Kathryn Lamb-Riddell and \{Sleigh Mu{\~n}oz\}, Valentina and Champneys, \{Alan R\} and Janice Kiely and Luxton, \{Richard W\}",

note = "Funding Information: Researchers at the University of the West of England acknowledge the support of the NIHR i4i programme (II-LB-0417-20004). Dr Hughes would like to acknowledge the training from BristolBridge (grant number EP/ M027546/1) under the Engineering and Physical Sciences Research Council (EPSRC-https://epsrc.ukri.org/) Bridging the Gaps between the Engineering and Physical Sciences and Antimicrobial Resistance cross-council AMR initiative. Funding Information: Researchers at the University of the West of England acknowledge the support of the NIHR i4i programme (II-LB-0417-20004). Dr Hughes would like to acknowledge the training from BristolBridge (grant number EP/ M027546/1) under the Engineering and Physical Sciences Research Council (EPSRC- https://epsrc.ukri.org/ ) Bridging the Gaps between the Engineering and Physical Sciences and Antimicrobial Resistance cross-council AMR initiative. Publisher Copyright: {\textcopyright} 2022 The Authors",

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AU - Champneys, Alan R

AU - Kiely, Janice

AU - Luxton, Richard W

N1 - Funding Information: Researchers at the University of the West of England acknowledge the support of the NIHR i4i programme (II-LB-0417-20004). Dr Hughes would like to acknowledge the training from BristolBridge (grant number EP/ M027546/1) under the Engineering and Physical Sciences Research Council (EPSRC-https://epsrc.ukri.org/) Bridging the Gaps between the Engineering and Physical Sciences and Antimicrobial Resistance cross-council AMR initiative. Funding Information: Researchers at the University of the West of England acknowledge the support of the NIHR i4i programme (II-LB-0417-20004). Dr Hughes would like to acknowledge the training from BristolBridge (grant number EP/ M027546/1) under the Engineering and Physical Sciences Research Council (EPSRC- https://epsrc.ukri.org/ ) Bridging the Gaps between the Engineering and Physical Sciences and Antimicrobial Resistance cross-council AMR initiative. Publisher Copyright: © 2022 The Authors

PY - 2023/2/15

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N2 - The process of developing an end-to-end model of a magneto-immunoassay is described, simulating the agglutination effect due to the specific binding of bacteria to paramagnetic particles. After establishing the properties of the dose-specific agglutination through direct imaging, a microfluidic assay was used to demonstrate changes in the magnetophoretic transport dynamics of agglutinated clusters via transient inductive magentometer measurements. End-to-end mathematical modelling is used to establish the physical processes underlying the assay. First, a modification of the Becker--Döring nucleation kinetic equations is used to establish a relationship between analyte dose and average cluster size. Next, Stokes flow equations are used to establish a relationship between cluster size and speed of motion within the fluid chamber. This predicts a cluster-size dynamic profile of concentration of PMPs versus time when the magnetic field is switched between the two actuated magnets. Finally, inductive modelling is carried out to predict the response of the magnetometer circuit in response to the dynamics of magnetic clusters. The predictions of this model are shown to agree well with the results of experiments, and to predict the shape of the dose-response curve.

AB - The process of developing an end-to-end model of a magneto-immunoassay is described, simulating the agglutination effect due to the specific binding of bacteria to paramagnetic particles. After establishing the properties of the dose-specific agglutination through direct imaging, a microfluidic assay was used to demonstrate changes in the magnetophoretic transport dynamics of agglutinated clusters via transient inductive magentometer measurements. End-to-end mathematical modelling is used to establish the physical processes underlying the assay. First, a modification of the Becker--Döring nucleation kinetic equations is used to establish a relationship between analyte dose and average cluster size. Next, Stokes flow equations are used to establish a relationship between cluster size and speed of motion within the fluid chamber. This predicts a cluster-size dynamic profile of concentration of PMPs versus time when the magnetic field is switched between the two actuated magnets. Finally, inductive modelling is carried out to predict the response of the magnetometer circuit in response to the dynamics of magnetic clusters. The predictions of this model are shown to agree well with the results of experiments, and to predict the shape of the dose-response curve.

U2 - 10.1016/j.bios.2022.114745

DO - 10.1016/j.bios.2022.114745

M3 - Article (Academic Journal)

C2 - 36502714

SN - 0956-5663

VL - 222

JO - Biosensors and Bioelectronics

JF - Biosensors and Bioelectronics

M1 - 114745

ER -

Modelling a Dynamic Magneto-Agglutination Bioassay

Abstract

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