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.

Original language	English
Article number	e104054
Journal	PLoS ONE
Volume	9
Issue number	8
ISSN	1932-6203
DOIs	https://doi.org/10.1371/journal.pone.0104054
Publication status	Published - 14 Aug 2014

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title = "Model Study of the Pressure Build-Up during Subcutaneous Injection",

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.",

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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.

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JO - PLoS Computational Biology

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Model Study of the Pressure Build-Up during Subcutaneous Injection

Abstract

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