Applied Math Seminar
The Applied Math Seminar hosts a wide range of talks in fields such as applied analysis, mathematical biology, fluid dynamics and electromagnetics, numerical computation, etc.
The seminar usually meets at 2:30pm on Fridays in room 1302 of Warren Weaver Hall.
Please email oneil@cims.nyu.edu with suggestions for speakers. If you would like to be added to the mailing list, please send an email to cims-ams+subscribe@nyu.edu from the address at which you wish to receive announcements.
Seminar Organizer(s): Mike O'Neil
Upcoming Events
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Friday, January 23, 20262:30PM, Warren Weaver Hall 1302
Mechanical feedback and pattern formation in growing microbial communities
Scott Weady, Center for Computational Biology, Flatiron InstituteSynopsis:
The structure of microbial communities inherently reflects the mechanics of their environment. In particular, mechanical feedback between growth, stress, and transport can drive instabilities and patterning across scales. In this talk, I present a mathematical framework for understanding how mechanical feedback shapes the morphology of growing microbial communities. We first consider a model bacterial colony growing atop a frictional substrate in which individual cell growth and division is inhibited by collective growth-induced stresses. Particle simulations show the spontaneous emergence of concentric ring patterns in cell size, and a multiscale continuum theory linking single-cell stress responses to collective mechanics shows this patterning arises from stress accumulated over many cell cycles. Next, we consider a colony growing atop a viscous fluid and fueled by the consumption of a suspended nutrient. Here fluid flow is generated by both growth-induced stresses at the surface and nutrient-dependent density gradients in the bulk. Reformulating this problem as an integro-differential equation, we establish a condition for the morphological instability of axisymmetric colonies which reveals a competition between stabilizing growth stresses and destabilizing buoyant flows. These results show how mechanical feedback between growth and stress governs the structure and morphology of growing biological systems.
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Friday, January 30, 20262:30PM, Warren Weaver Hall 1302
TBD
Boyce Griffith, UNC -
Friday, February 6, 20262:30PM, Warren Weaver Hall 1302
TBD
Mattia Serra, UC San Diego -
Monday, February 23, 20263:45PM, Warren Weaver Hall 1302
TBD
Rebecca Willett, U. Chicago -
Friday, April 17, 20262:30PM, Warren Weaver Hall 1302
TBD
Oleg Kirillov, Northumbria University