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We consider a class of optimal control problems, with finite or infinite horizon, for a continuous-time Markov chain with finite state space. In this case, the control process affects the transition rates. We suppose that the controlled…

Optimization and Control · Mathematics 2026-02-19 Fulvia Confortola , Marco Fuhrman

Inspired by normalizing flows, we analyze the bilinear control of neural transport equations by means of time-dependent velocity fields restricted to fulfill, at any time instance, a simple neural network ansatz. The L^1 approximate…

Optimization and Control · Mathematics 2023-08-03 Domènec Ruiz-Balet , Enrique Zuazua

This paper investigates the exact controllability problem for multi-dimensional stochastic first-order symmetric hyperbolic systems with control inputs acting in two distinct ways: an internal control applied to the diffusion term and a…

Optimization and Control · Mathematics 2026-01-27 Zengyu Li , Qi Lü , Yu Wang , Haitian Yang

Protein language models (PLMs) have enabled advances in structure prediction and de novo protein design, yet they frequently collapse into pathological repetition during generation. Unlike in text, where repetition merely reduces…

Biomolecules · Quantitative Biology 2026-02-03 Jiahao Zhang , Zeqing Zhang , Di Wang , Lijie Hu

Transcription commonly occurs in bursts, with alternating productive (ON) and quiescent (OFF) periods, governing mRNA production rates. Yet, how transcription is regulated through bursting dynamics remains unresolved. Here, we conduct…

Molecular Networks · Quantitative Biology 2025-11-11 Po-Ta Chen , Michal Levo , Benjamin Zoller , Thomas Gregor

Many ribosomes simultaneously move on the same messenger RNA (mRNA), each separately synthesizing the protein coded by the mRNA. Earlier models of ribosome traffic represent each ribosome by a ``self-propelled particle'' and capture the…

Biological Physics · Physics 2009-11-11 Aakash Basu , Debashish Chowdhury

This paper is concerned with the problem of stochastic control of gene regulatory networks (GRNs) observed indirectly through noisy measurements and with uncertainty in the intervention inputs. The partial observability of the gene states…

Molecular Networks · Quantitative Biology 2017-02-27 Mahdi Imani , Ulisses Braga-Neto

It often is emphasized that gene expression is noisy. A seemingly contradictory view is that control mechanisms have been optimized to squeeze as much information as possible out of a limited number of molecules. Here we revisit these…

Biological Physics · Physics 2025-12-17 Nicholas Lawson , William Bialek

In this paper, we investigate the controllability of a class of formation control systems. Given a directed graph, we assign an agent to each of its vertices and let the edges of the graph describe the information flow in the system. We…

Systems and Control · Computer Science 2015-06-02 Xudong Chen , M. -A. Belabbas , Tamer Basar

Physiological changes which result in changes in bacterial gene expression are often accompanied by changes in the growth rate for fast adapting enteric bacteria. Since the availability of RNA polymerase (RNAP) in cells is dependent on the…

Subcellular Processes · Quantitative Biology 2008-12-12 Stefan Klumpp , Terence Hwa

The dynamics and deformations of immersed flexible fibers are at the heart of important industrial and biological processes, induce peculiar mechanical and transport properties in the fluids that contain them, and are the basis for novel…

Fluid Dynamics · Physics 2019-05-23 O. du Roure , A. Lindner , E. N. Nazockdast , M. J. Shelley

The rapid growth of large data center loads and inverter-based generation is increasing the stress on transmission networks, while expanding grid capacity at the required pace remains challenging. Power flow controllers (PFCs) that adjust…

Optimization and Control · Mathematics 2025-11-20 Eric Haag , Yuhao Chen , Giri Venkataramanan , Manish K. Singh

In this paper, we leverage ideas from model-based control to address the sample efficiency problem of reinforcement learning (RL) algorithms. Accelerating learning is an active field of RL highly relevant in the context of time-varying…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Ibrahim Ahmed , Marcos Quinones-Grueiro , Gautam Biswas

In coverage control problems that involve time-varying density functions, the coverage control law depends on spatial integrals of the time evolution of the density function. The latter is often neglected, replaced with an upper bound or…

Systems and Control · Electrical Eng. & Systems 2025-07-28 Behzad Zamani , James Kennedy , Airlie Chapman , Peter Dower , Chris Manzie , Simon Crase

Using force as a probe to map the folding landscapes of RNA molecules has become a reality thanks to major advances in single molecule pulling experiments. Although the unfolding pathways under tension are complicated to predict studies in…

Biological Physics · Physics 2018-03-14 Changbong Hyeon , D. Thirumalai

Mesoscale filtering and protective layers are replete throughout the natural world. Within the body, arrays of extracellular proteins, microvilli, and cilia can act as both protective layers and mechanosensors. For example, blood flow…

A transversal topic of my research has been the development and application of computational methods for DNA sequence analysis. The methods I have been developing aim at improving our understanding of the regulation processes happening in…

Genomics · Quantitative Biology 2014-09-24 Valentina Boeva

This paper presents a systematic approach to the advanced control of continuous crystallization processes using model predictive control. We provide a tutorial introduction to controlling complex particle size distributions by integrating…

Systems and Control · Electrical Eng. & Systems 2026-02-04 Collin R. Johnson , Kerstin Wohlgemuth , Sergio Lucia

Direct numerical simulations are used to elucidate the interplay of wettability and fluid viscosities on immiscible fluid displacements in a heterogeneous porous medium.We classify the flow regimes based using qualitative and quantitative…

In this article, we quantitatively study, through stochastic models, the efects of several intracellular phenomena, such as cell volume growth, cell division, gene replication as well as fuctuations of available RNA polymerases and…

Molecular Networks · Quantitative Biology 2020-02-18 Renaud Dessalles , Vincent Fromion , Philippe Robert