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

18 Citations (Scopus)

919 Downloads (Pure)

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

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1371/journal.pone.0104054

journal.pone.0104054Final published version, 850 KB

Cite this

@article{f6c877659daa420a88fcd11dac7957b4,

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.",

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}",

year = "2014",

month = aug,

day = "14",

doi = "10.1371/journal.pone.0104054",

language = "English",

volume = "9",

journal = "PLoS ONE",

issn = "1932-6203",

publisher = "Public Library of Science",

number = "8",

}

TY - JOUR

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 ONE

JF - PLoS ONE

IS - 8

M1 - e104054

ER -

Model Study of the Pressure Build-Up during Subcutaneous Injection

Abstract

UN SDGs

Access to Document

Fingerprint

Cite this