Exploring Chemical Reaction Networks in Science and Technology
1:04:09
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3 years ago
In recent years the study of network architectures has become increasingly important in understanding complex systems in different branches of science and technology. Examples include metabolic networks (network of metabolites connected by chemical reactions), the Internet (a network of servers), the World Wide Web (a network of web pages), social networks. In this talk we are going to focus on chemical reaction networks in which a network of arbitrary chemical species are connected by chemical reactions. Chemical reaction networks tend to be the rule not the exception in many industrial chemical plants, where the synthesis route for producing a desirable product typically involves numerous chemical steps. I will begin the talk with an mathematical overview of stoichiometry, the foundation for understanding chemical reaction networks, and then proceed with a review of several example chemical reaction networks based on mass action kinetics that display varied dynamically properties. Then we will use concepts from stoichiometry to devise a new way to generate combinatorial libraries of reaction sequences that are chemically consistent and can be studied by graph theory. In particular, we will examine the topological structure of reaction networks, assess what properties are needed to obtain small-world or scale-free behavior, if at all.In recent years the study of network architectures has become increasingly important in understanding complex systems in different branches ...all »In recent years the study of network architectures has become increasingly important in understanding complex systems in different branches of science and technology. Examples include metabolic networks (network of metabolites connected by chemical reactions), the Internet (a network of servers), the World Wide Web (a network of web pages), social networks. In this talk we are going to focus on chemical reaction networks in which a network of arbitrary chemical species are connected by chemical reactions. Chemical reaction networks tend to be the rule not the exception in many industrial chemical plants, where the synthesis route for producing a desirable product typically involves numerous chemical steps. I will begin the talk with an mathematical overview of stoichiometry, the foundation for understanding chemical reaction networks, and then proceed with a review of several example chemical reaction networks based on mass action kinetics that display varied dynamically properties. Then we will use concepts from stoichiometry to devise a new way to generate combinatorial libraries of reaction sequences that are chemically consistent and can be studied by graph theory. In particular, we will examine the topological structure of reaction networks, assess what properties are needed to obtain small-world or scale-free behavior, if at all.«
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