The Center for Mathematical Biology is the focal point for interdisciplinary

research in mathematics and biology at the University of Pennsylvania.

research in mathematics and biology at the University of Pennsylvania.

## Events

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Elena F. Koslover
(University of California San Diego)

Navigating the Maze: Transport through Intracellular Networks

Show/Hide Abstract
Eukaryotic cells contain a variety of complex morphologies that can substantially alter the transport, distribution, and encounter kinetics of particles. In this talk, we will focus on transport within tubular network structures, employing mathematical results and simulations, together with quantitative analysis of imaging data, to explore the impact of network morphology on transport. We will begin by considering diffusive particle movement through looped organelle networks formed by the endoplasmic reticulum (ER) and mitochondria. We show that global search times on such networks can be approximated based on total network edge length and loop number, and that the heterogeneity of network structures can result in reaction hot-spots. A potential role of ER network architecture in modulating local calcium release kinetics will be discussed. We then turn to consider the distribution of punctate organelles in the branched tree networks found in dendritic projections of neuronal cells. Specifically, mitochondrial distributions in Drosophila sensory dendrites are found to exhibit two robust features: a distal enhancement of mitochondrial density, and an equitable distribution of mitochondria between asymmetric sister subtrees. Simple scaling laws for dendritic branch width and mitochondrial transport are shown to account for both of these features. Overall, physical modeling of disparate cellular systems highlights the importance of intracellular network morphology in determining particle distribution within the cell.

04:00 PM -
DRL 2C8

## MATHEMATICAL BIOLOGY

The Center runs a roughly biweekly seminar series in which we invite researchers in mathematical biology to give a lecture, from around the country and beyond. Many of these seminar speakers are also long-term visitors to Penn, who will interact with a broad range of researchers across campus.

### OUR FELLOWS

The Simons Postdoctoral Fellows work in the general area of mathematical biology. Each Fellow is mentored by two advisors, typically one affiliated with the Department of Mathematics and another with the Department of Biology.