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Asymmetry and Condition Number of an Elliptic-Parabolic System for Biological Network Formation
We present results of numerical simulations of the tensor-valued elliptic-parabolic PDE model for biological network formation. The numerical method...
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Exact p-values for global network alignments via combinatorial analysis of shared GO terms
Network alignment aims to uncover topologically similar regions in the protein–protein interaction (PPI) networks of two or more species under the...
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Reaction Network Analysis of Metabolic Insulin Signaling
Absolute concentration robustness (ACR) and concordance are novel concepts in the theory of robustness and stability within Chemical Reaction Network...
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Finite Element Discretization of a Biological Network Formation System: A Preliminary Study
A finite element discretization is developed for the Cai-Hu model, describing the formation of biological networks. The model consists of a non...
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Data-Driven Modeling of Partially Observed Biological Systems
We present a numerical approach for modeling unknown dynamical systems using partially observed data, with a focus on biological systems with...
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Design Principles for Perfect Adaptation in Biological Networks with Nonlinear Dynamics
Establishing a map** between the emergent biological properties and the repository of network structures has been of great relevance in systems and...
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Percolation in Biological Systems
Most biological systems are so complex that they preclude any reasonable description in terms of the exact interactions among their fundamental...
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Biological Neural Networks
A biological neural network is composed of a group of connected neurons. A single neuron may be connected to many other neurons and the total number...
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Neural Network Analysis for Bioconvection Flow of Casson Fluid Over a Vertically Extending Sheet
The aim of this article is to study the bioconvection flow of Casson fluid over a vertically stretching sheet. Applying similarity transformations,...
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Bifurcation Analysis of a Heat-Sensitive Epigenetic Regulatory Network
An epigenetic regulatory network that influences transgenerational inheritance of a heat-altered phenotype was recently discovered in Arabidopsis....
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A neural network approach for the mortality analysis of multiple populations: a case study on data of the Italian population
A Neural Network (NN) approach for the modelling of mortality rates in a multi-population framework is compared to three classical mortality models....
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Understanding and Quantifying Network Robustness to Stochastic Inputs
A variety of biomedical systems are modeled by networks of deterministic differential equations with stochastic inputs. In some cases, the network...
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Bogdanov–Takens and Hopf Bifurcations Analysis of a Genetic Regulatory Network
The stability and two kinds of bifurcations of a genetic regulatory network are considered in this paper. We have given a complete stability analysis...
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Phylogenetic network-assisted rooting of unrooted gene trees
Gene trees inferred from molecular sequence alignments are typically unrooted, and determining the most credible rooting edge is a classical problem...
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Classes of explicit phylogenetic networks and their biological and mathematical significance
The evolutionary relationships among organisms have traditionally been represented using rooted phylogenetic trees. However, due to reticulate...
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Network-Based Computational Modeling to Unravel Gene Essentiality
Essential genes are reductively defined as those fundamental for an organism’s reproductive success and growth. Still, the so-called essentiality of...
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Periodic Trajectories of Nonlinear Circular Gene Network Models
The article addresses the qualitative analysis of the two dynamical systems simulating circular gene network functioning. The equations of a...
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Statistical Identification of Important Nodes in Biological Systems
Biological systems can be modeled and described by biological networks. Biological networks are typical complex networks with widely real-world...
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Algorithm for the Analysis of Pigment Network Characteristics in Diagnosing Melanoma
AbstractAn algorithm for analyzing the characteristics of the pigment network of skin neoplasms is proposed. It is based on the assessment of the...
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Hybrid Propagation and Control of Network Viruses on Scale-Free Networks
How to accurately model and effectively suppress the spread of network viruses has been a major concern in the field of complex networks and...
