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The dynamics of systems biological processes are usually modeled by a system of ordinary differential equations (ODEs) with many unknown parameters that need to be inferred from noisy and sparse measurements.
Computer model for mechanisms underlying ultradian oscillations of insulin and glucose
Jeppe Sturis, Kenneth S Polonsky, Erik Mosekilde, and Eve Van Cauter · 1991
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Hiroaki Kitano · 2002
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Computational procedures for optimal experimental design in biological systems
E. Balsa-Canto, A.A. Alonso, and J.R. Banga · 2008
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Multi-element probabilistic collocation for sensitivity analysis in cellular signalling networks
J. Foo, S. Sindi, and G.E. Karniadakis · 2009
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Dynamical phenotyping: using temporal analysis of clinically collected physiologic data to stratify populations
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DeepXDE: A deep learning library for solving differential equations
Lu Lu, Xuhui Meng, Zhiping Mao, and George E Karniadakis · 2019
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Systems biology informed deep learning for inferring parameters and hidden dynamics
Alireza Yazdani, Lu Lu, Maziar Raissi, and George Em Karniadakis · 2020
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Structural identifiability via input-output projections
R. Dong, C. Goodbrake, H. Harrington, and Pogudin G · 2021
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