10 problems
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Gross–Harrington–Meshkat–Shiu leak-removal conjecture for linear compartmental models
Let be a strongly connected linear compartmental model with at least one input and exactly one leak. A model is generically locally identifiable if its pa…
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Thomas's feedback-loop conjecture for multistationarity and cyclic attractors
Let a Boolean network have a wiring diagram whose directed edges represent regulatory dependencies, with edges classified as positive or negative according to whether increasing th…
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Near-monotonicity conjecture for natural biological networks
A signed interaction graph is balanced when its edge signs are consistent with a monotone structure; natural biological networks can then be compared with random networks having th…
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Thomas's cycle-sign conjecture for multistationarity and sustained oscillations
Let a signal graph encode the nonzero signed entries of a sign-definite Jacobian matrix, with the sign of each cycle given by the product of the signs on its edges. A system is mul…
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Reverse-reaction irrelevance for Hopf bifurcations in Michaelis–Menten motifs
A phosphorylation network may contain reverse reactions in motifs of the form … where and are complexes not containing the intermediate species . Reverse-reaction irrel…
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The necessity of incoherent feedforward loops for non-monotonic dose responses
A dose response is a relationship between an input dose and a measured steady-state output, and a non-monotonic response is one that is not monotone in the dose. An incoherent feed…
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Functional-module specificity conjecture for chemicals in self-generating reaction networks
Functional-module specificity conjecture. Then this chemical, or set of chemicals, is specific for the respective functional module.
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Leak-addition conjecture for unidentifiable linear compartmental models
Let be an unidentifiable linear compartmental model. Leak-addition conjecture. If one leak is added, the resulting model is also unidentifia…
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Global stability conjecture for the CRC-CRN
The CRC-CRN is the colorectal-cancer-cell chemical reaction network described in the paper. The global stability condition is the condition introduced in Definition. Global stabili…
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Generalization of the methodology to the general C1-FFL case
The paper considers a coherent type-1 feedforward loop (C1-FFL) whose output is matched to an intermediate approximation of the log-likelihood ratio for detecting persistent signal…