Speaker: Nour Khoudari (Purdue University)
Title: Quantifying Topological Features and Irregularities in Zebrafish Skin Patterns
Zoom Link: https://illinois.zoom.us/j/84907159401?pwd=JboBtq30vntVuEpj8s3yYfAdwlb258.1
Abstract: Topological data analysis techniques can be used to explore emergent behaviors and provide new insights into multi-agent biological systems. An important tool in topological data analysis is persistent homology. It can capture information about connectivity, loops, and voids, through different types of filtration like Vietoris-rips, sweeping plane, and cubical complexes. Each could enable the detection of meaningful patterns in high-dimensional or noisy data sets. As an application, we investigate skin pattern formation in zebrafish, which exhibit distinctive black and gold pigment patterns arising from interactions between different cell types. In some cases, these patterns are disrupted. To analyze and quantify these variations, we develop a topological data analysis framework, allowing us to extract meaningful biological insights from pattern structures.
The Midwest Mathematical Biology Seminar will be a series of virtual talks on mathematical biology featuring speakers from the Midwest region and beyond. All areas of mathematical biology will be represented in the seminar series, and a goal for this seminar is to build connections and foster research collaborations.
More information - https://sites.google.com/view/midwest-mathbio-seminar/home
Tiffany Leighton
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