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Understanding the mechanisms of interactions within cells, tissues, and organisms is crucial to driving developments across biology and medicine. Mathematical modeling is an essential tool for simulating biological systems and revealing…

Molecular Networks · Quantitative Biology 2024-08-13 Lingxia Qiao , Ali Khalilimeybodi , Nathaniel J Linden-Santangeli , Padmini Rangamani

Structural control theory could be applied to study the control principles of social, economic and managerial systems. System Dynamics (SD) is the target field in social-economic sciences for endogenizing this theory, a subject that…

Optimization and Control · Mathematics 2020-05-28 Tianyi Li

Obesity does not emerge abruptly; rather, it develops gradually over extended periods. The gradual progression often prevents early recognition of physiological changes until excess adiposity is established. A common belief is that weight…

Quantitative Methods · Quantitative Biology 2026-03-18 Soheil Saghafi , Gari D. Clifford

Based on the theory of stochastic chemical kinetics, the inherent randomness and stochasticity of biochemical reaction networks can be accurately described by discrete-state continuous-time Markov chains. The analysis of such processes is,…

Numerical Analysis · Mathematics 2014-10-14 Andreychenko Alexander , Mikeev Linar , Wolf Verena

A central task in many applications is reasoning about processes that change in a continuous time. The mathematical framework of Continuous Time Markov Processes provides the basic foundations for modeling such systems. Recently, Nodelman…

Artificial Intelligence · Computer Science 2012-07-02 Tal El-Hay , Nir Friedman , Daphne Koller , Raz Kupferman

Rare events such as conformational changes in biomolecules, phase transitions, and chemical reactions are central to the behavior of many physical systems, yet they are extremely difficult to study computationally because unbiased…

Machine Learning · Statistics 2026-04-16 Yuanqi Du , Jiajun He , Dinghuai Zhang , Eric Vanden-Eijnden , Carles Domingo-Enrich

Adaptive dynamical systems arise in a multitude of contexts, e.g., optimization, control, communications, signal processing, and machine learning. A precise characterization of their fundamental limitations is therefore of paramount…

Information Theory · Computer Science 2010-10-13 Maxim Raginsky

Biochemical systems are inherently stochastic, particularly those with small-molecule populations. The spatial distribution of molecules plays a critical role and requires the inclusion of spatial coordinates in their analysis. Stochastic…

Molecular Networks · Quantitative Biology 2025-05-15 Manuel Eduardo Hernández-García , Eduardo Moreno-Barbosa , Jorge Velázquez-Castro

The galactose network is a complex system responsible for galactose metabolism. It has been extensively studied experimentally and mathematically at the unicellular level to broaden our understanding of its regulatory mechanisms at higher…

Molecular Networks · Quantitative Biology 2016-02-12 Tina M. Mitre , Anmar Khadra , Michael C. Mackey

In order to improve the classification accuracy of transient stability assessment of power systems, a novel method based on local learning machine and an improved bacterial colony chemotaxis (BCC) algorithm is proposed, where local learning…

Signal Processing · Electrical Eng. & Systems 2024-12-20 Xueping Gu , Yang Li

The abundance of process operating data in modern industries, along with the rapid advancement of learning techniques, has led to a paradigm shift towards data-centric analysis and control. However, integrating machine learning with control…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Yitao Yan , Yu Tong , Jie Bao , Wei Wang

This paper (parts I and II) provides an expository introduction to monotone and near-monotone dynamical systems associated to biochemical networks, those whose graphs are consistent or near-consistent. Many conclusions can be drawn from…

Molecular Networks · Quantitative Biology 2007-05-23 Eduardo D. Sontag

Synthetic control (SC) methods have gained rapid popularity in economics recently, where they have been applied in the context of inferring the effects of treatments on standard continuous outcomes assuming linear input-output relations. In…

Methodology · Statistics 2024-02-19 Alicia Curth , Hoifung Poon , Aditya V. Nori , Javier González

Biochemical networks are used in computational biology, to model the static and dynamical details of systems involved in cell signaling, metabolism, and regulation of gene expression. Parametric and structural uncertainty, as well as…

Molecular Networks · Quantitative Biology 2014-10-15 Ovidiu Radulescu , Alexander N. Gorban , Andrei Zinovyev , Vincent Noel

Synthetic biology is an interdisciplinary field aiming to design biochemical systems with desired behaviors. To this end, molecular controllers have been developed which, when embedded into a pre-existing ambient biochemical network,…

Molecular Networks · Quantitative Biology 2019-08-29 Tomislav Plesa , Guy-Bart Stan , Thomas E. Ouldridge , Wooli Bae

Graph Theoretic Process Network Synthesis is described as an introduction to biological networks. Genetic, protein and metabolic systems are considered. The theoretical work of Kauffman is discussed and amplified by critical property…

Biological Physics · Physics 2007-05-23 L. Papp , S. Bumble , F. Friedler , L. T. Fan

Analyzing qualitative behaviors of biochemical reactions using its associated network structure has proven useful in diverse branches of biology. As an extension of our previous work, we introduce a graph-based framework to calculate steady…

Classical Analysis and ODEs · Mathematics 2014-04-28 Inom Mirzaev , David Matthew Bortz

Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production for individual stochastic trajectories of mesoscopic systems. Remarkably, this approach, relying on stochastic…

Statistical Mechanics · Physics 2023-01-31 David Guéry-Odelin , Christopher Jarzynski , Carlos A. Plata , Antonio Prados , Emmanuel Trizac

Hemostasis and thrombosis are often thought as two sides of the same clotting mechanism whereas hemostasis is a natural protective mechanism to prevent bleeding and thrombosis is a blood clot abnormally formulated inside a blood vessel,…

Tissues and Organs · Quantitative Biology 2019-11-19 Limei Cheng , Guo-Wei Wei , Tarek Leil

Robustness of biochemical systems has become one of the central questions in systems biology although it is notoriously difficult to formally capture its multifaceted nature. Maintenance of normal system function depends not only on the…

Molecular Networks · Quantitative Biology 2012-03-28 Jost Neigenfind , Sergio Grimbs , Zoran Nikoloski
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