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SUMMARY:Calina Copos (Northeastern University)
DTSTART:20261124T170000Z
DTEND:20261124T180000Z
DTSTAMP:20261115T010400Z
UID:Modeling_and_Computation/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Modeling_and
 _Computation/100/">Symmetry Breaking\, Directed Movement\, and Organized T
 issue Response from Local Interactions</a>\nby Calina Copos (Northeastern 
 University) as part of Northwestern Applied Mathematics Seminar\n\nLecture
  held in M416 Tech Northwestern Evanston IL.\n\nAbstract\nPattern formatio
 n and symmetry breaking have long been areas of interest in applied mathem
 atics. In living systems\, these questions take on additional complexities
 : molecular interactions generate dynamic intracellular structures\, indiv
 idual cells develop persistent migratory behaviors\, and populations of ce
 lls coordinate their dynamics to produce spatiotemporal patterns. A centra
 l question is how do biological systems break symmetry\, select among comp
 eting dynamical states\, and coordinate response across scales? \n\nUsing 
 cell doublets as the smallest nontrivial collective unit\, I will discuss 
 mathematical models\, computational methods\, and dynamical systems approa
 ches for investigating how local feedback\, geometry\, and confinement sha
 pe these collective dynamical states. We examine how mechanochemical inter
 actions generate directional and coordinated migration\, biases\, and how 
 nonlinear feedback and spatial coupling give rise to coherent oscillations
 \, traveling waves\, and other patterns. Extending these principles to lar
 ger cell clusters and tissues reveals emergent organization with implicati
 ons for development\, wound healing\, and limb regeneration. These example
 s illustrate how mathematical models can bridge scales and uncover princip
 les by which local interactions generate global organization.\n
LOCATION:https://researchseminars.org/talk/Modeling_and_Computation/100/
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