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Classification-based Inference of Dynamical Models of Gene Regulatory Networks

David A. Fehr, +2 more
- 18 Jun 2019 - 
- pp 673137
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TLDR
This work presents FIGR (Fast Inference of Gene Regulation), a novel classification-based inference approach to determining gene circuit parameters that is faster than global non-linear optimization by nearly three orders of magnitude and its computational complexity scales much better with GRN size.
Abstract
Cell-fate decisions during development are controlled by densely interconnected gene regulatory networks (GRNs) consisting of many genes. Inferring and predictively modeling these GRNs is crucial for understanding development and other physiological processes. Gene circuits, coupled differential equations that represent gene product synthesis with a switch-like function, provide a biologically realistic framework for modeling the time evolution of gene expression. However, their use has been limited to smaller networks due to the computational expense of inferring model parameters from gene expression data using global non-linear optimization. Here we show that the switch-like nature of gene regulation can be exploited to break the gene circuit inference problem into two simpler optimization problems that are amenable to computationally efficient supervised learning techniques. We present FIGR (Fast Inference of Gene Regulation), a novel classification-based inference approach to determining gene circuit parameters. We demonstrate FIGR9s effectiveness on synthetic data as well as experimental data from the gap gene system of Drosophila. FIGR is faster than global non-linear optimization by nearly three orders of magnitude and its computational complexity scales much better with GRN size. On a practical level, FIGR can accurately infer the biologically realistic gap gene network in under a minute on desktop-class hardware instead of requiring hours of parallel computing. We anticipate that FIGR would enable the inference of much larger biologically realistic GRNs than was possible before. FIGR Source code is freely available at http://github.com/mlekkha/FIGR.

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Citations
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Genetic Complexity of the Human Genome in Health and Disease: Basic Concepts

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References
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An atlas of gene regulatory networks reveals multiple three-gene mechanisms for interpreting morphogen gradients

TL;DR: A first atlas of design space for GRNs capable of patterning a homogeneous field of cells into discrete gene expression domains by interpreting a fixed morphogen gradient is generated and multiple very distinct mechanisms distributed discretely across the atlas are uncovered, thereby expanding the repertoire of morphogen interpretation network motifs.
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Stable oscillations in mathematical models of biological control systems

TL;DR: In this paper, the authors consider a class of piecewise linear (PL) equations which have been proposed to model biological control systems and prove that for the associated PL equation, all trajectories in the regions of phase space corresponding to the cyclic attractor either (i) approach a unique stable limit cycle attractor, or (ii) approach the origin, in the limitt→∞.
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Model for cooperative control of positional information in Drosophila by bicoid and maternal hunchback.

TL;DR: A dynamical model of gene regulation is proposed which explicitly describes how positional information is used in the blastoderm of Drosophila melanogaster and shows that positional information in the presumptive middle body is cooperatively determined by maternal products of the bicoid and hunchback genes.
Journal ArticleDOI

Quantifying cell fate decisions for differentiation and reprogramming of a human stem cell network: landscape and biological paths

TL;DR: A global potential landscape and kinetic path framework to explore a human stem cell developmental network composed of 52 genes is developed and some specific predictions for the effects of key genes and regulation connections on the cellular differentiation or reprogramming process are provided.
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Interactions of the Drosophila gap gene giant with maternal and zygotic pattern-forming genes

TL;DR: Interactions of the gt product, typical of the cross-regulation previously observed among gap genes, confirm that gt is a member of the gap gene class whose function is necessary to establish the overall pattern of gap gene expression.
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