23 papers · ranked by Valyu relevance
Jesse A Sharp, Alexander P Browning, Tarunendu Mapder, Kevin Burrage + 1 more
Acute myeloid leukaemia (AML) is a blood cancer affecting haematopoietic stem cells. AML is routinely treated with chemotherapy, and so it is of great interest to develop optimal chemotherapy treatment strategies. In this work, we incorporate an immune response into a stem cell model of AML, since we find that previous…
Nikolaos Tsiantis, Julio R. Banga
Background Optimality principles have been used to explain the structure and behavior of living matter at different levels of organization, from basic phenomena at the molecular level, up to complex dynamics in whole populations. Most of these studies have assumed a single-criteria approach. Such optimality principles…
Jesse A Sharp, Kevin Burrage, Matthew J Simpson
Optimal control theory provides insight into complex resource allocation decisions. The forward-backward sweep method (FBSM) is an iterative technique commonly implemented to solve two-point boundary value problems (TPBVPs) arising from the application of Pontryagin’s Maximum Principle (PMP) in optimal control. In this…
Jingyi Yang, Yuebao Yang, Mingtao Li
OptControl.jl1 (OptControl) implements that modeling optimal control problems with symbolic algebra system based on Julia language, and generates the corresponding numerical optimization codes to solve them with packages from Julia. OptControl does not define a data type, but generates a solution script by handling…
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
Optimal Control (OC) is the process of determining control and state trajectories for a dynamic system, over a period of time, in order to optimize a given performance index. With the increasing of variables and complexity, OC problems can no longer be solved analytically and, consequently, numerical methods are…
Carlos Vilas, Eva Balsa-Canto, Maria-Sonia G García, Julio R Banga + 1 more
'Antonio A Alonso'] Background Systems biology allows the analysis of biological systems behavior under different conditions through in silico experimentation. The possibility of perturbing biological systems in different manners calls for the design of perturbations to achieve particular goals. Examples would include…
Sandra Zarychta, Tomasz Sagan, Marek Balcerzak, Artur Dąbrowski + 2 more
'Andrzej Stefański' 'Tomasz Kapitaniak'] This paper presents a novel, Fourier series based numerical method of open-loop control optimization. Due to its flexible assumptions, it can be applied in a large variety of systems, including discontinuous ones or even "black boxes", whose equations are not fully known. This…
Helen Moore
This article gives an overview of a technique called optimal control, which is used to optimize real-world quantities represented by mathematical models. I include background information about the historical development of the technique and applications in a variety of fields. The main focus here is the application to…
Ossama Abdelkhalik, Aimar Negrete
Modern optimal control theory involves adjoining the already known equations of motion of a dynamic system to the objective function using dynamic costates; this is done in order to constrain the optimal control solutions to satisfy the equations of motion. The use of costates increases the number of variables and…
Timothy Sands
Optimal control is seen by researchers from a different perspective than that from which the industry practitioners see it. Either type of user can easily become confounded when deciding which manner of optimal control should be used for guidance and control of mechanics. Such optimization methods are useful for…
Nikolaos Tsiantis, Julio R. Banga
We revisit the idea of explaining and predicting dynamics in biochemical pathways from first-principles. A promising approach is to exploit optimality principles that can be justified from an evolutionary perspective. In the context of the cell, several previous studies have explained the dynamics of simple metabolic…
László Dobos, András Király, János Abonyi
Finding the optimal operating region of chemical processes is an inevitable step toward improving economic performance. Usually the optimal operating region is situated close to process constraints related to product quality or process safety requirements. Higher profit can be realized only by assuring a relatively low…
Jiahong Xu, Simon Tomažič
Existing control strategies, such as Real-time Optimization (RTO), Dynamic Real-time Optimization (DRTO), and Economic Model Predictive Control (EMPC) cannot enable optimal operation and control behavior in an optimal fashion. This work proposes a novel control strategy, named the efficiency-oriented model predictive…
Alexander Gorobtsov, Oleg Sychev, Yulia Orlova, Evgeniy Smirnov + 6 more
'Olga Grigoreva' 'Alexander Bochkin' 'Marina Andreeva' 'Anastasios Doulamis' 'Nikolaos Doulamis' 'Athanasios Voulodimos'] We consider the problem of dimensionality reduction of state space in the variational approach to the optimal control problem, in particular, in the reinforcement learning method. The control…
Wenjie Xu, Yuning Jiang, Bratislav Svetozarevic, Colin N. Jones
In this paper, the CONFIG algorithm, a simple and provably efficient constrained global optimization algorithm, is applied to optimize the closed-loop control performance of an unknown system with unmodeled constraints. Existing Gaussian process based closedloop optimization methods, either can only guarantee local…
Mahdiar Sadeghi, M. Ali Al-Radhawi, Michael Margaliot, Eduardo Sontag
Cosinder the following single state system: Let λ_0_(t) : ℝ_≥0_ → ℝ_>0_ be a measurable signal with a period T > 0, i.e, λ_0_(t) = λ_0_(t + T) > 0, and let λ_1_ > 0 be a constant. Let φ(t; x(0), λ_0_(t)) be the solution of (10) for a given inflow rate and an initial condition (which exists and is unique by Carathéodory…
Aidan Slattery, Zhenghui Wen, Pauline Tenblad, Diego Pintossi + 3 more
The optimization, intensification, and scaling up of chemical processes are essential and time-consuming aspects of contemporary chemical manufacturing, necessitating expertise and precision due to their intricate and sensitive nature. However, these process development problems are often carried out independently and…
Benjamin Michaud, François Bailly, Eve Charbonneau, Amedeo Ceglia + 2 more
Musculoskeletal simulations are useful in biomechanics to investigate the causes of movement disorder, to estimate non-measurable physiological quantities or to study the optimality of human movement. We introduce Bioptim, an easy-to-use Python framework for biomechanical optimal control, handling musculoskeletal…
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We develop a control-oriented model for manipulating calcium carbonate (CaCO3) precipitation through pH and/or dissolved CO2(aq) adjustments in a semi-batch process. We present two open-loop control strategies: first, a closed-form optimal control solution derived via Pontryagin’s Minimum Principle; and second, an…
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This paper introduces Optical Fiber Chemistry (OFC) as a fourth-generation catalytic paradigm, distinguished not by incremental improvements in catalyst materials but by a fundamental reconfiguration of the catalytic reaction platform. By employing optical fibers as active photonic control elements, OFC achieves gen-…
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We propose and establish a new catalytic paradigm—\textbf{Optical Fiber Chemistry (OFC)}—as the fourth generation of catalysis after thermocatalysis, electro-/photocatalysis, and photoelectrochemical synergy. OFC is a \textbf{multilayer interfacial chemistry} (planar or curved), with the sandwich-structured optical…
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Artificial intelligence (AI) is reshaping chemical engineering. Still, its role in safety-critical operations is limited because we rarely see tools that link physical models with data-driven methods. This study brings together three elements: physics-constrained neural networks, uncertainty quantification, and a…
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This paper formally defines an operational isomorphism between spectral damping in molecular vibronic systems and neuromodulatory control in biological sensory systems. Without asserting causal continuity or physical identity across scales, we show that both domains instantiate the same class of output-selective…