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SUMMARY:Andrés Ortiz-Muñoz (Santa Fe Institute)
DTSTART:20230427T150000Z
DTEND:20230427T153000Z
DTSTAMP:20260421T124126Z
UID:MoRN/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/75/">A 
 Mathematical Approach to Modeling Complex Structures and their Dynamics</a
 >\nby Andrés Ortiz-Muñoz (Santa Fe Institute) as part of Seminar on the 
 Mathematics of Reaction Networks\n\n\nAbstract\nIn this presentation\, we 
 introduce a novel mathematical approach for modeling complex structures an
 d their dynamics using the concept of meronomy. Meronomy allows for a syst
 ematic organization of the various types of parts\, or merons\, found with
 in a system and their hierarchical relationships. We define complex struct
 ures as collections of interconnected parts originating from a meronomy. T
 o connect structural theory to quantitative aspects of dynamics\, we propo
 se a notion of cardinality for meronomies. We show that the cardinalities 
 of classes of complex meronomical structures give rise to the probability 
 and combinatorial generating functions of stochastic chemical reaction net
 works.\n
LOCATION:https://researchseminars.org/talk/MoRN/75/
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