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Workshop
REACTION NETWORK ANALYSIS OF KINETIC SYSTEMS
VIA NETWORK TRANSFORMATIONS
Description
In this workshop, participants will learn fundamental concepts of reaction network theory to analyze various kinetic systems. Since some reaction networks may lack properties for thorough analysis, we will introduce network operations that will induce network transformations. These operations include Shifting, Scaling, Dividing, Merging, and Splitting, each designed to adapt network structures for deeper insights.
Examples throughout the workshop will feature different carbon cycle models such as the power law kinetic representations of the pre-industrial models of Schmitz [1], Anderies et al. [2], and Heck et al. [3]. Moreover, participants will gain hands-on experience with software tools specifically developed for reaction network analysis.
For advanced reading:
C. Arceo, E. Jose, A. Sanguino, and E. Mendoza, "Chemical Reaction Network Approaches to Biochemical Systems Theory," Mathematical Biosciences, vol. 269, pp. 135–152, 2015.
D. Talabis and E. Mendoza, "Network Transformation-Based Analysis of Biochemical Systems," Journal of Mathematical Biology.
H. Hong, B.S. Hernandez, J. Kim, and J.K. Kim, "Computational Translation Framework Identifies Biochemical Reaction Networks with Special Topologies and Their Long-Term Dynamics," SIAM Journal on Applied Mathematics, vol. 83, pp. 1025–1048, 2023.
Feinberg, M., Ellison, P.: The Chemical Reaction Network Toolbox, Version 1.1 (1996). Available at crnt.osu.edu
References:
[1] R. Schmitz, The Earth’s carbon cycle: chemical engineering course material. Chem. Eng. Educ. 36(4), 296–309 (2002)
[2] J.M. Anderies, S.R. Carpenter, W. Steffen, J. Rockström, The topology of non-linear global carbon dynamics: from tipping points to planetary boundaries. Environ. Res. Lett. 8(4), 044–048 (2013). https://doi.org/10.1088/1748-9326/8/4/044048
[3] V. Heck, J. Donges, W. Hucht, Collateral transgression of planetary boundaries due to climate engineering by terrestrial carbon dioxide removal. Earth Syst. Dyn. 7(4), 783–796 (2016). https://doi.org/10.5194/esd-7-783-2016
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