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Mathematical modeling is a powerful tool for describing, predicting, and understanding complex phenomena exhibited by real-world systems. However, identifying the equations that govern a system's dynamics from experimental data remains a…

Neural and Evolutionary Computing · Computer Science 2024-12-05 Omar Rodríguez-Abreo , José Luis Aragón , Mario Alan Quiroz-Juárez

Gene regulatory networks are collections of genes that interact with one other and with other substances in the cell. By measuring gene expression over time using high-throughput technologies, it may be possible to reverse engineer, or…

Applications · Statistics 2011-09-08 Andrea Rau , Florence Jaffrézic , Jean-Louis Foulley , R. W. Doerge

Reconstruction of gene regulatory networks is the process of identifying gene dependency from gene expression profile through some computation techniques. In our human body, though all cells pose similar genetic material but the activation…

Reconstruction of gene regulatory networks or 'reverse-engineering' is a process of identifying gene interaction networks from experimental microarray gene expression profile through computation techniques. In this paper, we tried to…

Computational Engineering, Finance, and Science · Computer Science 2014-08-25 Khalid Raza , Rafat Parveen

The main goal of Systems Biology research is to reconstruct biological networks for its topological analysis so that reconstructed networks can be used for the identification of various kinds of disease. The availability of high-throughput…

Systems and Control · Computer Science 2013-07-02 Khalid Raza , Rajni Jaiswal

Background: Elucidating gene regulatory networks is crucial for understanding normal cell physiology and complex pathologic phenotypes. Existing computational methods for the genome-wide ``reverse engineering'' of such networks have been…

Reverse engineering of gene regulatory networks presents one of the big challenges in systems biology. Gene regulatory networks are usually inferred from a set of single-gene over-expressions and/or knockout experiments. Functional…

Molecular Networks · Quantitative Biology 2008-06-19 Dejan Stokic , Rudolf Hanel , Stefan Thurner

We describe a dynamic programming algorithm for predicting optimal RNA secondary structure, including pseudoknots. The algorithm has a worst case complexity of ${\cal O}(N^6)$ in time and ${\cal O}(N^4)$ in storage. The description of the…

Biological Physics · Physics 2009-09-25 Elena Rivas , Sean R. Eddy

This paper introduces a novel method for approximating the dynamics of a large autonomous system projected onto a fixed subspace. The core contribution is a novel recursive algorithm to construct an effective time-dependent generator that…

Quantum Physics · Physics 2025-10-24 Tommaso Grigoletto

Correct inference of genetic regulations inside a cell is one of the greatest challenges in post genomic era for the biologist and researchers. Several intelligent techniques and models were already proposed to identify the regulatory…

Artificial Intelligence · Computer Science 2017-08-03 Sudip Mandal , Goutam Saha , Rajat K. Pal

Reconstructing network dynamics from data is crucial for predicting the changes in the dynamics of complex systems such as neuron networks; however, previous research has shown that the reconstruction is possible under strong constraints…

Dynamical Systems · Mathematics 2023-04-07 Irem Topal , Deniz Eroglu

With the advent of high-throughput profiling methods, interest in reverse engineering the structure and dynamics of biochemical networks is high. Recently an algorithm for reverse engineering of biochemical networks was developed by…

Quantitative Methods · Quantitative Biology 2010-01-18 Edgar Delgado-Eckert

Optimal behaviours of a system to perform a specific task can be achieved by leveraging the coupling between trajectory optimization, stabilization, and design optimization. This approach is particularly advantageous for underactuated…

Robotics · Computer Science 2024-08-13 Federico Girlanda , Lasse Shala , Shivesh Kumar , Frank Kirchner

Reduced modeling of a computationally demanding dynamical system aims at approximating its trajectories, while optimizing the trade-off between accuracy and computational complexity. In this work, we propose to achieve such an approximation…

Machine Learning · Statistics 2025-02-20 Patrick Héas , Cédric Herzet , Benoit Combès

This note presents a unified analysis of the identification of dynamical systems with low-rank constraints under high-dimensional scaling. This identification problem for dynamic systems are challenging due to the intrinsic dependency of…

Statistics Theory · Mathematics 2019-12-23 Junlin Li

Being able to design genetic regulatory networks (GRNs) to achieve a desired cellular function is one of the main goals of synthetic biology. However, determining minimal GRNs that produce desired time-series behaviors is non-trivial. In…

Computational Engineering, Finance, and Science · Computer Science 2022-01-24 Javier Garcia-Bernardo , Margaret J. Eppstein

Constructing gene regulatory networks is a fundamental task in systems biology. We introduce a Gaussian reciprocal graphical model for inference about gene regulatory relationships by integrating mRNA gene expression and DNA level…

Methodology · Statistics 2016-07-26 Yang Ni , Yuan Ji , Peter Mueller

This work presents a method of efficiently computing inner and outer approximations of forward reachable sets for nonlinear control systems with changed dynamics and diminished control authority, given an a priori computed reachable set for…

Optimization and Control · Mathematics 2022-03-22 Hamza El-Kebir , Ani Pirosmanishvili , Melkior Ornik

We present a numerical framework for approximating unknown governing equations using observation data and deep neural networks (DNN). In particular, we propose to use residual network (ResNet) as the basic building block for equation…

Numerical Analysis · Mathematics 2019-07-24 Tong Qin , Kailiang Wu , Dongbin Xiu

Cellular phenotypes are determined by the dynamical activity of networks of co-regulated genes. Elucidating such networks is crucial for the understanding of normal cell physiology as well as for the dissection of complex pathologic…

Molecular Networks · Quantitative Biology 2007-05-23 Kai Wang , Nilanjana Banerjee , Adam Margolin , Ilya Nemenman , Katia Basso , Riccardo Favera , Andrea Califano
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