Theoretical Study of the One Self-Regulating Gene in the Modified Wagner Model

Guyeux, Christophe; Couchot, Jean-François; Rouzic, Arnaud Le; Bahi, Jacques M.; Marangio, Luigi

doi:10.3390/math6040058

Cited by 2 publications

(2 citation statements)

References 18 publications

(11 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…with λ a = (1 − a)/a and µ a = 1/a(1 − a) (Guyeux et al, 2018). The function f is scaled such that f (0) = a and df /dx| x=0 = 1; the parameter a thus stands for the constitutive gene expression (the expression of a gene in absence of regulators), and this function defines the scale of the matrix W: W ij = δ (δ 1) means that the expression of gene i at the next time step will tend to P i,t+1 = a + δ if i is regulated by a single, fully expressed transcription factor j (P j,t = 1).…”

Section: Gene Regulatory Networkmentioning

confidence: 99%

“…As a side effect, such models are in general difficult to handle mathematically (Carneiro et al, 2011;Le Cunff and Pakdaman, 2012). Excluding the one-gene self-regulating case (which already has non-trivial mathematical properties, Guyeux et al, 2018), the simplest network (2-by-2 matrix) has four genetic parameters, which makes the exploration of the parameter set tedious. Here, the number of dimensions was restricted by considering the set of networks that lead to a predefined arbitrary equilibrium, P θ ∞ = (P θ 1 , P θ 2 ).…”

Section: Exhaustive Exploration Of Two-gene Networkmentioning

confidence: 99%

See 1 more Smart Citation

Gene network robustness as a multivariate character

Rouzic¹

2022

Peer Community Journal

View full text Add to dashboard Cite

Robustness to genetic or environmental disturbances is often considered as a key property of living systems. Yet, in spite of being discussed since the 1950s, how robustness emerges from the complexity of genetic architectures and how it evolves still remains unclear. In particular, whether or not robustness is independent to various sources of perturbations conditions the range of adaptive scenarios that can be considered. For instance, selection for robustness to heritable mutations is likely to be modest and indirect, and its evolution might result from indirect selection on a pleiotropically-related character (e.g., homeostasis). Here, I propose to treat various robustness measurements as quantitative characters, and study theoretically, by individual-based simulations, their propensity to evolve independently. Based on a simple evolutionary model of a gene regulatory network, I showed that five measurements of the robustness of gene expression to genetic or non-genetic disturbances were substantially correlated. Yet, robustness was mutationally variable in several dimensions, and robustness components could evolve differentially under direct selection pressure. Therefore, the fact that the sensitivity of gene expression to mutations and environmental factors rely on the same gene networks does not preclude distinct evolutionary histories of robustness components.

show abstract

Section: Gene Regulatory Networkmentioning

confidence: 99%

Section: Exhaustive Exploration Of Two-gene Networkmentioning

confidence: 99%

Gene network robustness as a multivariate character

Rouzic¹

2022

Peer Community Journal

View full text Add to dashboard Cite

show abstract

Gene network robustness as a multivariate character

Rouzic¹

2021

Preprint

View full text Add to dashboard Cite

Robustness to genetic or environmental disturbances is often considered as a key property of living systems. Yet, in spite of being discussed since the 1950s, how robustness emerges from the complexity of genetic architectures and how it evolves still remains unclear. In particular, whether or not robustness to various sources of perturbations is independent conditions the range of adaptive scenarios that can be considered. For instance, selection for robustness to heritable mutations is likely to be modest and indirect, and its evolution might result from indirect selection on a pleiotropically-related character (e.g., homeostasis) rather than adaptation. Here, I propose to treat various robustness measurements as quantitative characters, and study theoretically, by individual-based simulations, their propensity to evolve independently. Based on a simple evolutionary model of a gene regulatory network, I showed that different ways to measure the robustness of gene expression to genetic or non-genetic disturbances were substantially correlated. Yet, robustness was variable in several dimensions, and robustness components could evolve differentially under direct selection pressure. Therefore, the fact that the sensitivity of gene expression to e.g. mutations and environmental factors rely on the same gene networks does not preclude that robustness components may have distinct evolutionary histories.Robustness is the capacity of living organisms to buffer internal or environmental disturbances. Robustness encompasses, for instance, the ability to maintain physiological equilibria (homeostasis), to ensure developmental stability, or to repair and mitigate DNA damage in both soma and germline. Although robustness is virtually intermingled with the definition of life itself, its underlying mechanisms and its evolutionary origins remain far from being clearly understood (Stearns

show abstract

Theoretical Study of the One Self-Regulating Gene in the Modified Wagner Model

Cited by 2 publications

References 18 publications

Gene network robustness as a multivariate character

Gene network robustness as a multivariate character

Gene network robustness as a multivariate character

Contact Info

Product

Resources

About