- Information geometry of chemical reaction networks: Cramer-Rao bound and absolute sensitivity revisited
2025/03/25 by Loutchko, Dimitri, Sughiyama, Yuki, Kobayashi, Tetsuya J. · 2 citations
#14M25 #37C05 #37C25 #53B12 #53B50 #62B11 #80A30 #92C45 #Biological Physics (physics.bio-ph) #Classical Physics (physics.class-ph) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Molecular Networks (q-bio.MN)
- The inheritance of local bifurcations in mass action networks
2023/12/20 by Murad Banaji, Balázs Boros, Banaji, Murad +3 · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · #34C23 #34D15 #80A30 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Gene Regulatory Network Analysis #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research
- Model Uncertainty and Correctability for Directed Graphical Models
2021/07/17 by Birmpa, Panagiota, Feng, Jinchao, Katsoulakis, Markos A. +1 · 1 citation
#62H22 #62P30 #68T37 #80A30 #93B35 #94A17 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Probability (math.PR)
- Large deviations for Markov jump processes with uniformly diminishing rates
2021/02/25 by Agazzi, Andrea, Andreis, Luisa, Patterson, Robert I. A. +1 · 1 citation
#60F10 #60J75 #80A30 #FOS: Biological sciences #FOS: Mathematics #Molecular Networks (q-bio.MN) #Probability (math.PR)
- An efficient characterization of complex-balanced, detailed-balanced,\n and weakly reversible systems
2018/12/14 by Gheorghe Crăciun, Craciun, Gheorghe, Jiaxin Jin +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #37N25 #80A30 #92C42 #92C45 #92D25 #Advanced Thermodynamics and Statistical Mechanics #Dynamical Systems (math.DS) #FOS: Mathematics #Gene Regulatory Network Analysis #Protein Structure and Dynamics
- Tier structure of strongly endotactic reaction networks
2018/08/16 by Anderson, David, Cappelletti, Daniele, Kim, Jinsu +1 · 2 citations
#34D23 #37B25 #60F10 #60G10 #60J27 #60J28 #80A30 #92C42 #92C45 #FOS: Biological sciences #FOS: Mathematics #Molecular Networks (q-bio.MN) #Probability (math.PR)
- Gradient and Generic systems in the space of fluxes, applied to reacting particle systems
2018/06/27 by D. R. Michiel Renger, Renger, D. R. Michiel · 1 citation
Mathematics · Physics and Astronomy · #60F10 #60J27 #80A30 #82C22 #82C35 #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Biology Tumor Growth #Mathematical Physics (math-ph)
- Chemical reaction-diffusion networks; convergence of the method of lines
2017/04/04 by Mohamed, Fatma, Pantea, Casian, Tudorascu, Adrian · 1 citation
#35K57 #35Q80 #65M20 #80A30 #FOS: Mathematics #Numerical Analysis (math.NA)
- Intermediates, Catalysts, Persistence, and Boundary Steady States
2015/09/20 by de Freitas, Michael Marcondes, Feliu, Elisenda, Wiuf, Carsten · 1 citation
#34C99 #80A30 #92C42 #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Molecular Networks (q-bio.MN)
- Simultaneous state-time approximation of the chemical master equation using tensor product formats
2013/11/13 by Dolgov, Sergey, Khoromskij, Boris · 1 citation
#15A69 #34B08 #65F10 #65F50 #80A30 #82C31 #FOS: Mathematics #Numerical Analysis (math.NA)
- Separation of time-scales and model reduction for stochastic reaction networks
2010/11/07 by Kang, Hye-Won, Kurtz, Thomas G. · 1 citation
#60F17 #60J27 #60J80 #80A30 #92C45 #FOS: Mathematics #Probability (math.PR)
- Fast and Slow Dynamics for the Computational Singular Perturbation Method
2004/01/16 by Zagaris, Antonios, Kaper, Hans G., Kaper, Tasso J. · 2 citations
#34C20 #80A30 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics