2,495 research outputs found
Increased signaling entropy in cancer requires the scale-free property of protein interaction networks
One of the key characteristics of cancer cells is an increased phenotypic
plasticity, driven by underlying genetic and epigenetic perturbations. However,
at a systems-level it is unclear how these perturbations give rise to the
observed increased plasticity. Elucidating such systems-level principles is key
for an improved understanding of cancer. Recently, it has been shown that
signaling entropy, an overall measure of signaling pathway promiscuity, and
computable from integrating a sample's gene expression profile with a protein
interaction network, correlates with phenotypic plasticity and is increased in
cancer compared to normal tissue. Here we develop a computational framework for
studying the effects of network perturbations on signaling entropy. We
demonstrate that the increased signaling entropy of cancer is driven by two
factors: (i) the scale-free (or near scale-free) topology of the interaction
network, and (ii) a subtle positive correlation between differential gene
expression and node connectivity. Indeed, we show that if protein interaction
networks were random graphs, described by Poisson degree distributions, that
cancer would generally not exhibit an increased signaling entropy. In summary,
this work exposes a deep connection between cancer, signaling entropy and
interaction network topology.Comment: 20 pages, 5 figures. In Press in Sci Rep 201
Patterns of subnet usage reveal distinct scales of regulation in the transcriptional regulatory network of Escherichia coli
The set of regulatory interactions between genes, mediated by transcription
factors, forms a species' transcriptional regulatory network (TRN). By
comparing this network with measured gene expression data one can identify
functional properties of the TRN and gain general insight into transcriptional
control. We define the subnet of a node as the subgraph consisting of all nodes
topologically downstream of the node, including itself. Using a large set of
microarray expression data of the bacterium Escherichia coli, we find that the
gene expression in different subnets exhibits a structured pattern in response
to environmental changes and genotypic mutation. Subnets with less changes in
their expression pattern have a higher fraction of feed-forward loop motifs and
a lower fraction of small RNA targets within them. Our study implies that the
TRN consists of several scales of regulatory organization: 1) subnets with more
varying gene expression controlled by both transcription factors and
post-transcriptional RNA regulation, and 2) subnets with less varying gene
expression having more feed-forward loops and less post-transcriptional RNA
regulation.Comment: 14 pages, 8 figures, to be published in PLoS Computational Biolog
`The frozen accident' as an evolutionary adaptation: A rate distortion theory perspective on the dynamics and symmetries of genetic coding mechanisms
We survey some interpretations and related issues concerning the frozen hypothesis due to F. Crick and how it can be explained in terms of several natural mechanisms involving error correction codes, spin glasses, symmetry breaking and the characteristic robustness of genetic networks. The approach to most of these questions involves using elements of Shannon's rate distortion theory incorporating a semantic system which is meaningful for the relevant alphabets and vocabulary implemented in transmission of the genetic code. We apply the fundamental homology between information source uncertainty with the free energy density of a thermodynamical system with respect to transcriptional regulators and the communication channels of sequence/structure in proteins. This leads to the suggestion that the frozen accident may have been a type of evolutionary adaptation
Fitness and entropy production in a cell population dynamics with epigenetic phenotype switching
Motivated by recent understandings in the stochastic natures of gene
expression, biochemical signaling, and spontaneous reversible epigenetic
switchings, we study a simple deterministic cell population dynamics in which
subpopulations grow with different rates and individual cells can
bi-directionally switch between a small number of different epigenetic
phenotypes. Two theories in the past, the population dynamics and
thermodynamics of master equations, separatedly defined two important concepts
in mathematical terms: the {\em fitness} in the former and the (non-adiabatic)
{\em entropy production} in the latter. Both play important roles in the
evolution of the cell population dynamics. The switching sustains the
variations among the subpopulation growth thus continuous natural selection. As
a form of Price's equation, the fitness increases with () natural selection
through variations and a positive covariance between the per capita
growth and switching, which represents a Lamarchian-like behavior. A negative
covariance balances the natural selection in a fitness steady state | "the red
queen" scenario. At the same time the growth keeps the proportions of
subpopulations away from the "intrinsic" switching equilibrium of individual
cells, thus leads to a continous entropy production. A covariance, between the
per capita growth rate and the "chemical potential" of subpopulation,
counter-acts the entropy production. Analytical results are obtained for the
limiting cases of growth dominating switching and vice versa.Comment: 16 page
On the Interplay between the Evolvability and Network Robustness in an Evolutionary Biological Network: A Systems Biology Approach
In the evolutionary process, the random transmission and mutation of genes provide biological diversities for natural selection. In order to preserve functional phenotypes between generations, gene networks need to evolve robustly under the influence of random perturbations. Therefore, the robustness of the phenotype, in the evolutionary process, exerts a selection force on gene networks to keep network functions. However, gene networks need to adjust, by variations in genetic content, to generate phenotypes for new challenges in the network’s evolution, ie, the evolvability. Hence, there should be some interplay between the evolvability and network robustness in evolutionary gene networks. In this study, the interplay between the evolvability and network robustness of a gene network and a biochemical network is discussed from a nonlinear stochastic system point of view. It was found that if the genetic robustness plus environmental robustness is less than the network robustness, the phenotype of the biological network is robust in evolution. The tradeoff between the genetic robustness and environmental robustness in evolution is discussed from the stochastic stability robustness and sensitivity of the nonlinear stochastic biological network, which may be relevant to the statistical tradeoff between bias and variance, the so-called bias/variance dilemma. Further, the tradeoff could be considered as an antagonistic pleiotropic action of a gene network and discussed from the systems biology perspective
Potential Landscape and Probabilistic Flux of a Predator Prey Network
Predator-prey system, as an essential element of ecological dynamics, has been recently studied experimentally with synthetic biology. We developed a global probabilistic landscape and flux framework to explore a synthetic predator-prey network constructed with two Escherichia coli populations. We developed a self consistent mean field method to solve multidimensional problem and uncovered the potential landscape with Mexican hat ring valley shape for predator-prey oscillations. The landscape attracts the system down to the closed oscillation ring. The probability flux drives the coherent oscillations on the ring. Both the landscape and flux are essential for the stable and coherent oscillations. The landscape topography characterized by the barrier height from the top of Mexican hat to the closed ring valley provides a quantitative measure of global stability of system. The entropy production rate for the energy dissipation is less for smaller environmental fluctuations or perturbations. The global sensitivity analysis based on the landscape topography gives specific predictions for the effects of parameters on the stability and function of the system. This may provide some clues for the global stability, robustness, function and synthetic network design
Adaptive evolution of transcription factor binding sites
The regulation of a gene depends on the binding of transcription factors to
specific sites located in the regulatory region of the gene. The generation of
these binding sites and of cooperativity between them are essential building
blocks in the evolution of complex regulatory networks. We study a theoretical
model for the sequence evolution of binding sites by point mutations. The
approach is based on biophysical models for the binding of transcription
factors to DNA. Hence we derive empirically grounded fitness landscapes, which
enter a population genetics model including mutations, genetic drift, and
selection. We show that the selection for factor binding generically leads to
specific correlations between nucleotide frequencies at different positions of
a binding site. We demonstrate the possibility of rapid adaptive evolution
generating a new binding site for a given transcription factor by point
mutations. The evolutionary time required is estimated in terms of the neutral
(background) mutation rate, the selection coefficient, and the effective
population size. The efficiency of binding site formation is seen to depend on
two joint conditions: the binding site motif must be short enough and the
promoter region must be long enough. These constraints on promoter architecture
are indeed seen in eukaryotic systems. Furthermore, we analyse the adaptive
evolution of genetic switches and of signal integration through binding
cooperativity between different sites. Experimental tests of this picture
involving the statistics of polymorphisms and phylogenies of sites are
discussed.Comment: published versio
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