ArticleIEEE/ACM transactions on computational biology and bioinformatics
Analytical solution of steady-state equations for chemical reaction networks with bilinear rate laws.
Article in IEEE/ACM transactions on computational biology and bioinformatics. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed, 13 citations in OpenAlex.
- An integrated modelling approach for targeted degradation: insights on optimization, data requirements and PKPD predictions from semi- or fully-mechanistic models and exact steady state solutions.Journal of pharmacokinetics and pharmacodynamics · 2023Article
- Tailored parameter optimization methods for ordinary differential equation models with steady-state constraints.BMC systems biology · 2016Article
- Customized Steady-State Constraints for Parameter Estimation in Non-Linear Ordinary Differential Equation Models.Frontiers in cell and developmental biology · 2016Article
- A technique for determining the signs of sensitivities of steady states in chemical reaction networks.IET systems biology · 2014Article
- The impact of high density receptor clusters on VEGF signaling.Electronic proceedings in theoretical computer science · 2013Article
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Authors and funding
5 authors at 3 institutions in 1 country.
Funding
Abstract
True steady states are a rare occurrence in living organisms, yet their knowledge is essential for quasi-steady-state approximations, multistability analysis, and other important tools in the investigation of chemical reaction networks (CRN) used to describe molecular processes on the cellular level. Here, we present an approach that can provide closed form steady-state solutions to complex systems, resulting from CRN with binary reactions and mass-action rate laws. We map the nonlinear algebraic problem of finding steady states onto a linear problem in a higher-dimensional space. We show that the linearized version of the steady-state equations obeys the linear conservation laws of the original CRN. We identify two classes of problems for which complete, minimally parameterized solutions may be obtained using only the machinery of linear systems and a judicious choice of the variables used as free parameters. We exemplify our method, providing explicit formulae, on CRN describing signal initiation of two important types of RTK receptor-ligand systems, VEGF and EGF-ErbB1.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.