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

Christoph Kirsch1, Daniel Fehr1, Samuel Babity2

  • 1Institute of Computational Physics, Zurich University of Applied Sciences (ZHAW), Technikumstrasse 9, Winterthur, 8400, Switzerland.

Drug Delivery and Translational Research
|February 11, 2022
PubMed
Summary

This study introduces a new mathematical model for objectively quantifying dermal lymphatic clearance using near-infrared (NIR) fluorescent tracers. The clearance-diffusion model accurately calculates tracer half-life, even with significant dermal diffusion, improving early disease diagnosis.

Keywords:
DiffusionFluorescenceIntradermal administrationLymphatic drainage

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Area of Science:

  • Biomedical Imaging
  • Mathematical Modeling
  • Dermal Physiology

Background:

  • Accurate lymphatic dermal clearance assessment is crucial for early diagnosis of disabling diseases.
  • Current methods use a mono-exponential model, neglecting tracer diffusion and spatial information, leading to subjective measurements.
  • Near-infrared (NIR) fluorescent tracers are vital for quantitative lymphatic assessment.

Purpose of the Study:

  • To develop and validate a novel mathematical model for objective quantification of dermal clearance.
  • To incorporate tracer diffusion within the dermis into clearance calculations.
  • To improve the accuracy of half-life value determination for NIR fluorescent tracers.

Main Methods:

  • Development of a two-parameter "clearance-diffusion" mathematical model.
  • Testing the model's performance against a traditional mono-exponential model.
  • Objective quantification of dermal clearance by considering spatial information and diffusion.

Main Results:

  • The novel clearance-diffusion model provides objective quantification of dermal clearance.
  • The mono-exponential model is suitable only when dermal diffusion is low.
  • The clearance-diffusion model significantly outperforms the traditional model when substantial dermal diffusion occurs, enabling accurate half-life calculations.

Conclusions:

  • The clearance-diffusion model offers a simple yet powerful tool for objective dermal clearance assessment.
  • This model enhances the accuracy of half-life calculations, particularly in cases with significant tracer diffusion.
  • Improved quantitative assessment of lymphatic function can aid in the early diagnosis of various diseases.