Development of a diffusion-weighed mathematical model for intradermal drainage quantification

Kirsch, Christoph; Fehr, Daniel; Babity, Samuel; Polomska, Anna; Detmar, Michael; Bonmarin, Mathias; Brambilla, Davide

doi:10.1007/s13346-021-01114-1

Publication type:	Article in scientific journal
Type of review:	Peer review (publication)
Title:	Development of a diffusion-weighed mathematical model for intradermal drainage quantification
Authors:	Kirsch, Christoph Fehr, Daniel Babity, Samuel Polomska, Anna Detmar, Michael Bonmarin, Mathias Brambilla, Davide
et. al:	No
DOI:	10.1007/s13346-021-01114-1
Published in:	Drug Delivery and Translational Research
Volume(Issue):	12
Issue:	4
Page(s):	897
Pages to:	905
Issue Date:	2022
Publisher / Ed. Institution:	Springer
ISSN:	2190-393X 2190-3948
Language:	English
Subjects:	Lymphatic drainage; Fluorescence; Diffusion; Intradermal administration
Subject (DDC):	510: Mathematics
Abstract:	The quantitative assessment of lymphatic dermal clearance using NIR fluorescent tracers is particularly important for the early diagnosis of several potential disabling diseases. Currently, half-life values are computed using a mono-exponential mathematical model, neglecting diffusion of the tracer within the dermis after injection. The size and position of the region of interest are subjectively manually selected around the point of injection on the skin surface where the fluorescence signal intensity is averaged, neglecting any spatial information contained in the image. In this study we present and test a novel mathematical model allowing the objective quantification of dermal clearance, taking into consideration potential dermal diffusion. With only two parameters, this “clearance-diffusion” model is simple enough to be applied in a variety of settings and requires almost no prior information about the system. We demonstrate that if dermal diffusion is low, the mono-exponential approach is suitable but still lacking objectivity. However, if dermal diffusion is substantial, the clearance-diffusion model is superior and allows the accurate calculation of half-life values.
Further description:	Erworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch)
URI:	https://digitalcollection.zhaw.ch/handle/11475/24468
Fulltext version:	Published version
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Engineering
Organisational Unit:	Institute of Computational Physics (ICP)
Appears in collections:	Publikationen School of Engineering

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Kirsch, C., Fehr, D., Babity, S., Polomska, A., Detmar, M., Bonmarin, M., & Brambilla, D. (2022). Development of a diffusion-weighed mathematical model for intradermal drainage quantification. Drug Delivery and Translational Research, 12(4), 897–905. https://doi.org/10.1007/s13346-021-01114-1

Kirsch, C. et al. (2022) ‘Development of a diffusion-weighed mathematical model for intradermal drainage quantification’, Drug Delivery and Translational Research, 12(4), pp. 897–905. Available at: https://doi.org/10.1007/s13346-021-01114-1.

C. Kirsch et al., “Development of a diffusion-weighed mathematical model for intradermal drainage quantification,” Drug Delivery and Translational Research, vol. 12, no. 4, pp. 897–905, 2022, doi: 10.1007/s13346-021-01114-1.

KIRSCH, Christoph, Daniel FEHR, Samuel BABITY, Anna POLOMSKA, Michael DETMAR, Mathias BONMARIN und Davide BRAMBILLA, 2022. Development of a diffusion-weighed mathematical model for intradermal drainage quantification. Drug Delivery and Translational Research. 2022. Bd. 12, Nr. 4, S. 897–905. DOI 10.1007/s13346-021-01114-1

Kirsch, Christoph, Daniel Fehr, Samuel Babity, Anna Polomska, Michael Detmar, Mathias Bonmarin, and Davide Brambilla. 2022. “Development of a Diffusion-Weighed Mathematical Model for Intradermal Drainage Quantification.” Drug Delivery and Translational Research 12 (4): 897–905. https://doi.org/10.1007/s13346-021-01114-1.

Kirsch, Christoph, et al. “Development of a Diffusion-Weighed Mathematical Model for Intradermal Drainage Quantification.” Drug Delivery and Translational Research, vol. 12, no. 4, 2022, pp. 897–905, https://doi.org/10.1007/s13346-021-01114-1.