Joining and decomposing reaction networks

In systems and synthetic biology, much research has focused on the behavior and design of single pathways, while, more recently, experimental efforts have focused on how cross-talk (coupling two or more pathways) or inhibiting molecular function (isolating one part of the pathway) affects systems-le...

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Main Authors: Gross, E, Harrington, H, Meshkat, N, Shiu, A
Format: Journal article
Language:English
Published: Springer 2020
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author Gross, E
Harrington, H
Meshkat, N
Shiu, A
author_facet Gross, E
Harrington, H
Meshkat, N
Shiu, A
author_sort Gross, E
collection OXFORD
description In systems and synthetic biology, much research has focused on the behavior and design of single pathways, while, more recently, experimental efforts have focused on how cross-talk (coupling two or more pathways) or inhibiting molecular function (isolating one part of the pathway) affects systems-level behavior. However, the theory for tackling these larger systems in general has lagged behind. Here, we analyze how joining networks (e.g., cross-talk) or decomposing networks (e.g., inhibition or knock-outs) affects three properties that reaction networks may possess—identifiability (recoverability of parameter values from data), steady-state invariants (relationships among species concentrations at steady state, used in model selection), and multistationarity (capacity for multiple steady states, which correspond to multiple cell decisions). Specifically, we prove results that clarify, for a network obtained by joining two smaller networks, how properties of the smaller networks can be inferred from or can imply similar properties of the original network. Our proofs use techniques from computational algebraic geometry, including elimination theory and differential algebra.
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spelling oxford-uuid:0ecdfd7f-216d-498e-b7c4-919fb9d1a1be2022-03-26T09:47:54ZJoining and decomposing reaction networksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0ecdfd7f-216d-498e-b7c4-919fb9d1a1beEnglishSymplectic ElementsSpringer2020Gross, EHarrington, HMeshkat, NShiu, AIn systems and synthetic biology, much research has focused on the behavior and design of single pathways, while, more recently, experimental efforts have focused on how cross-talk (coupling two or more pathways) or inhibiting molecular function (isolating one part of the pathway) affects systems-level behavior. However, the theory for tackling these larger systems in general has lagged behind. Here, we analyze how joining networks (e.g., cross-talk) or decomposing networks (e.g., inhibition or knock-outs) affects three properties that reaction networks may possess—identifiability (recoverability of parameter values from data), steady-state invariants (relationships among species concentrations at steady state, used in model selection), and multistationarity (capacity for multiple steady states, which correspond to multiple cell decisions). Specifically, we prove results that clarify, for a network obtained by joining two smaller networks, how properties of the smaller networks can be inferred from or can imply similar properties of the original network. Our proofs use techniques from computational algebraic geometry, including elimination theory and differential algebra.
spellingShingle Gross, E
Harrington, H
Meshkat, N
Shiu, A
Joining and decomposing reaction networks
title Joining and decomposing reaction networks
title_full Joining and decomposing reaction networks
title_fullStr Joining and decomposing reaction networks
title_full_unstemmed Joining and decomposing reaction networks
title_short Joining and decomposing reaction networks
title_sort joining and decomposing reaction networks
work_keys_str_mv AT grosse joininganddecomposingreactionnetworks
AT harringtonh joininganddecomposingreactionnetworks
AT meshkatn joininganddecomposingreactionnetworks
AT shiua joininganddecomposingreactionnetworks