Open AccessHillTau: A fast, compact abstraction for model reduction in biochemical signaling networks
Author(s) -
Upinder S. Bhalla
Publication year - 2021
Publication title -
plos computational biology/plos computational biology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.628
H-Index - 182
eISSN - 1553-7358
pISSN - 1553-734X
DOI - 10.1371/journal.pcbi.1009621
Subject(s) - bistability , systems biology , biological system , ode , computer science , biological network , feed forward , formalism (music) , observable , reduction (mathematics) , cell signaling , abstraction , theoretical computer science , chemistry , bioinformatics , signal transduction , mathematics , physics , biology , control engineering , art , musical , biochemistry , geometry , philosophy , epistemology , quantum mechanics , engineering , visual arts
Signaling networks mediate many aspects of cellular function. The conventional, mechanistically motivated approach to modeling such networks is through mass-action chemistry, which maps directly to biological entities and facilitates experimental tests and predictions. However such models are complex, need many parameters, and are computationally costly. Here we introduce the HillTau form for signaling models. HillTau retains the direct mapping to biological observables, but it uses far fewer parameters, and is 100 to over 1000 times faster than ODE-based methods. In the HillTau formalism, the steady-state concentration of signaling molecules is approximated by the Hill equation, and the dynamics by a time-course tau . We demonstrate its use in implementing several biochemical motifs, including association, inhibition, feedforward and feedback inhibition, bistability, oscillations, and a synaptic switch obeying the BCM rule. The major use-cases for HillTau are system abstraction, model reduction, scaffolds for data-driven optimization, and fast approximations to complex cellular signaling.