Featured event

Qbio Seminar Series: Gheorghe Craciun

Event Details

When: November 16, 2016, 2:00 PM

Location: 3rd Floor Orchard View Room , Discovery Building

Contact: 608-316-4401, hstampfli@wisc.edu

Gheorghe Craciun

Gheorghe Craciun
Professor
Mathematics
University of Wisconsin–Madison

Persistence, permanence, and homeostasis in biological interaction networks

Chronic diseases, such as hypertension and type 2 diabetes, are often associated with the loss of some types of molecules in affected cells, and this loss can destabilize normal cellular processes. The recovery of these processes in affected cells is a potential therapeutic target.

We discuss a mathematical approach to understanding biological interaction networks, by using differential equations to model the dynamics of concentrations of various types of molecules involved in these networks. This approach may determine the biochemical interactions that are essential for cellular stability and homeostasis.

We describe mathematical properties of these networks that allow us to understand which types of biological feedbacks are essential for the stability of normal cellular processes. More specifically, we discuss the mathematical properties of “persistence” and “permanence” that are very closely related to the stability and homeostasis properties of biological interaction networks.

A similar approach may be used for analyzing the stability of other population processes, for example to determine if various animal species may coexist in an ecosystem, or if an infectious disease may become endemic.

All QBio sponsored talks take place on Wednesdays at 2:00 p.m. in the 3rd floor Orchard View room of the Discovery Building unless otherwise noted. Talks are open to the public. Access to the room is via the elevator behind Aldo’s Cafe in the Northeast corner of the building.