Author
Gross, E
HARRINGTON, H
Meshkat, N
Shiu, A
Journal title
Journal of Mathematical Biology
DOI
10.1007/s00285-020-01477-y
Volume
80
Last updated
2024-03-25T02:14:28.273+00:00
Page
1683-1731
Abstract
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.
Symplectic ID
1084201
Favourite
Off
Publication type
Journal Article
Publication date
02 Mar 2020
Please contact us with feedback and comments about this page. Created on 31 Jan 2020 - 15:38.