Model Study of the Pressure Build-Up during Subcutaneous Injection

Maria Thomsen; Anier Hernandez Garcia; Joachim Mathiesen; Mette Homann Poulsen; Dan Sørensen; Lise Tarnow; Robert Krarup Feidenhans'l

doi:10.1371/journal.pone.0104054

Model Study of the Pressure Build-Up during Subcutaneous Injection

Maria Thomsen, Anier Hernandez Garcia, Joachim Mathiesen, Mette Homann Poulsen, Dan Sørensen, Lise Tarnow, Robert Krarup Feidenhans'l

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Abstract

In this study we estimate the subcutaneous tissue counter pressure during drug infusion from a series of injections of insulin in type 2 diabetic patients using a non-invasive method. We construct a model for the pressure evolution in subcutaneous tissue based on mass continuity and the flow laws of a porous medium. For equivalent injection forces we measure the change in the infusion rate between injections in air at atmospheric pressure and in tissue. From a best fit with our model, we then determine the flow permeability as well as the bulk modulus of the tissue, estimated to be of the order 10^-11- 10^-10 m² and 10⁵ Pa, respectively. The permeability is in good agreement with reported values for adipose porcine tissue. We suggest our model as a general way to estimate the pressure build-up in tissue during subcutaneous injection.

Originalsprog	Engelsk
Artikelnummer	e104054
Tidsskrift	PLoS ONE
Vol/bind	9
Udgave nummer	8
ISSN	1932-6203
DOI	https://doi.org/10.1371/journal.pone.0104054
Status	Udgivet - 14 aug. 2014

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abstract = "In this study we estimate the subcutaneous tissue counter pressure during drug infusion from a series of injections of insulin in type 2 diabetic patients using a non-invasive method. We construct a model for the pressure evolution in subcutaneous tissue based on mass continuity and the flow laws of a porous medium. For equivalent injection forces we measure the change in the infusion rate between injections in air at atmospheric pressure and in tissue. From a best fit with our model, we then determine the flow permeability as well as the bulk modulus of the tissue, estimated to be of the order 10-11- 10-10 m2 and 105 Pa, respectively. The permeability is in good agreement with reported values for adipose porcine tissue. We suggest our model as a general way to estimate the pressure build-up in tissue during subcutaneous injection.",

author = "Maria Thomsen and {Hernandez Garcia}, Anier and Joachim Mathiesen and Poulsen, {Mette Homann} and Dan S{\o}rensen and Lise Tarnow and Feidenhans'l, {Robert Krarup}",

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T1 - Model Study of the Pressure Build-Up during Subcutaneous Injection

AU - Thomsen, Maria

AU - Hernandez Garcia, Anier

AU - Mathiesen, Joachim

AU - Poulsen, Mette Homann

AU - Sørensen, Dan

AU - Tarnow, Lise

AU - Feidenhans'l, Robert Krarup

PY - 2014/8/14

Y1 - 2014/8/14

N2 - In this study we estimate the subcutaneous tissue counter pressure during drug infusion from a series of injections of insulin in type 2 diabetic patients using a non-invasive method. We construct a model for the pressure evolution in subcutaneous tissue based on mass continuity and the flow laws of a porous medium. For equivalent injection forces we measure the change in the infusion rate between injections in air at atmospheric pressure and in tissue. From a best fit with our model, we then determine the flow permeability as well as the bulk modulus of the tissue, estimated to be of the order 10-11- 10-10 m2 and 105 Pa, respectively. The permeability is in good agreement with reported values for adipose porcine tissue. We suggest our model as a general way to estimate the pressure build-up in tissue during subcutaneous injection.

AB - In this study we estimate the subcutaneous tissue counter pressure during drug infusion from a series of injections of insulin in type 2 diabetic patients using a non-invasive method. We construct a model for the pressure evolution in subcutaneous tissue based on mass continuity and the flow laws of a porous medium. For equivalent injection forces we measure the change in the infusion rate between injections in air at atmospheric pressure and in tissue. From a best fit with our model, we then determine the flow permeability as well as the bulk modulus of the tissue, estimated to be of the order 10-11- 10-10 m2 and 105 Pa, respectively. The permeability is in good agreement with reported values for adipose porcine tissue. We suggest our model as a general way to estimate the pressure build-up in tissue during subcutaneous injection.

U2 - 10.1371/journal.pone.0104054

DO - 10.1371/journal.pone.0104054

M3 - Journal article

C2 - 25122138

SN - 1932-6203

VL - 9

JO - PLoS Computational Biology

JF - PLoS Computational Biology

IS - 8

M1 - e104054

ER -

Model Study of the Pressure Build-Up during Subcutaneous Injection

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