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Reaction networks are mathematical models of interacting chemical species that are primarily used in biochemistry. There are two modeling regimes that are typically used, one of which is deterministic and one that is stochastic. In…

Molecular Networks · Quantitative Biology 2018-09-14 David Anderson , Daniele Cappelletti

We investigate the conditions for reactivity enhancement of catalytic processes in porous solids by use of molecular traffic control (MTC). With dynamic Monte-Carlo simulations and continuous-time master equation theory applied to the high…

Statistical Mechanics · Physics 2009-11-11 Andreas Brzank , Gunter M. Schuetz

Modeling dynamical biological systems is key for understanding, predicting, and controlling complex biological behaviors. Traditional methods for identifying governing equations, such as ordinary differential equations (ODEs), typically…

Molecular Networks · Quantitative Biology 2024-12-23 Hanna Krasowski , Eric Palanques-Tost , Calin Belta , Murat Arcak

The biochemical reaction networks that regulate living systems are all stochastic to varying degrees. The resulting randomness affects biological outcomes at multiple scales, from the functional states of single proteins in a cell to the…

Bioprocess mechanistic modeling is essential for advancing intelligent digital twin representation of biomanufacturing, yet challenges persist due to complex intracellular regulation, stochastic system behavior, and limited experimental…

Machine Learning · Statistics 2025-05-07 Keilung Choy , Wei Xie , Keqi Wang

Stochastic Chemical Reaction Networks are continuous time Markov chain models that describe the time evolution of the molecular counts of species interacting stochastically via discrete reactions. Such models are ubiquitous in systems and…

Quantitative Methods · Quantitative Biology 2024-02-01 Theodore W. Grunberg , Domitilla Del Vecchio

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

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

Shortcuts to adiabaticity (STA) provide control protocols to guide the dynamics of a quantum system through an adiabatic reference trajectory in an arbitrary prescheduled time. Designing STA proves challenging in complex quantum systems…

Quantum Physics · Physics 2018-08-09 C. W. Duncan , A. del Campo

Many biochemical and industrial applications involve complicated networks of simultaneously occurring chemical reactions. Under the assumption of mass action kinetics, the dynamics of these chemical reaction networks are governed by systems…

Dynamical Systems · Mathematics 2014-07-15 Matthew D. Johnston

Biochemical models that exhibit bistability are of interest to biologists and mathematicians alike. Chemical reaction network theory can provide sufficient conditions for the existence of bistability, and on the other hand can rule out the…

Dynamical Systems · Mathematics 2008-04-28 Anne Shiu

Biological systems are governed by coupled interactions between intracellular metabolism and bioreactor operation that span multiple time scales. Constraint-based metabolic models are widely used to describe intracellular metabolism, but…

Quantitative Methods · Quantitative Biology 2026-03-30 Peter E. Carstensen , Teddy Groves , Lars K. Nielsen , Ulrich Krühne , Krist V. Gernaey , John B. Jørgensen

We consider stochastic descriptions of chemical reaction networks in which there are both fast and slow reactions, and for which the time scales are widely separated. We develop a computational algorithm that produces the generator of the…

Dynamical Systems · Mathematics 2015-12-11 Xingye Kan , Chang Hyeong Lee , Hans G. Othmer

To control a quantum system via feedback, we generally have two options in choosing control scheme. One is the coherent feedback, which feeds the output field of the system, through a fully quantum device, back to manipulate the system…

Quantum Physics · Physics 2014-11-19 Naoki Yamamoto

Biological and robotic grasp and manipulation are undeniably similar at the level of mechanical task performance. However, their underlying fundamental biological vs. engineering mechanisms are, by definition, dramatically different and can…

Robotics · Computer Science 2017-10-25 Francisco J Valero-Cuevas , Marco Santello

How biological networks achieve robust control despite relying on imperfect, local information remains an important open question. Here, we identify thermodynamic constraints that can curtail non-equilibrium steady-state responses so…

Statistical Mechanics · Physics 2026-05-27 Carlos Floyd , Aaron R. Dinner , Suriyanarayanan Vaikuntanathan

The metabolism is the motor behind the biological complexity of an organism. One problem of characterizing its large-scale structure is that it is hard to know what to compare it to. All chemical reaction systems are shaped by the same…

Molecular Networks · Quantitative Biology 2011-05-10 Petter Holme , Mikael Huss , Sang Hoon Lee

Metabolic networks, formed by a series of metabolic pathways, are made of intracellular and extracellular reactions that determine the biochemical properties of a cell, and by a set of interactions that guide and regulate the activity of…

Logic in Computer Science · Computer Science 2020-08-24 Jean-Marc Alliot , Marta Cialdea Mayer , Robert Demolombe , Martín Diéguez , Luis Fariñas del Cerro

A plausible mechanism of self-regulation in technological chains of the kind wherein input resources are converted into common final product through sequences of processing links having uniform kinetic properties is discussed. A bottleneck…

Adaptation and Self-Organizing Systems · Physics 2017-08-15 A. T. Mustafin

This paper gives an overview of the use of control systems engineering in synthetic biology, motivated by applications such as cell therapy and cell fate reprogramming for regenerative medicine. A ubiquitous problem in these and other…

Systems and Control · Electrical Eng. & Systems 2026-01-29 Domitilla Del Vecchio
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