Multifractal Analysis of Microvascular Morphology and Remodeling | Dr. Daniel Gould

Dr. Daniel Gould co-authored this research published in Microcirculation, examining new methods for measuring and understanding the complex structure of microvascular networks. The publication was completed during his work in bioengineering at Rice University and Baylor College of Medicine.

Traditional measurements such as vessel diameter and density can describe certain aspects of blood vessel structure, but they may not fully capture the complexity of microvascular networks, particularly when those networks do not follow a clear hierarchical pattern.

The researchers evaluated multifractal analysis and lacunarity as additional tools for quantitatively assessing microvascular morphology. These mathematical approaches make it possible to characterize differences in the organization, complexity, and spatial distribution of blood vessels.

Using an automated image-processing approach, the team analyzed vascular networks across several tissues and examined the hyaloid vasculature during remodeling. The analysis demonstrated measurable structural differences between vascular networks in tissues including the kidney, cortex, skin, and thigh muscle.

The findings showed that multifractal and lacunarity measurements could complement conventional vascular measurements and provide additional information about how microvascular networks are organized and how their architecture changes over time.

The research contributes to the development of more sophisticated methods for studying vascular biology, providing quantitative tools that can help researchers evaluate microvascular development, remodeling, and tissue-specific vascular patterns.