Search · four archives
Search · four archives
24 papers · ranked by Valyu relevance
Bassam Bamieh
The Koopman representation is an infinite dimensional linear representation of linear or nonlinear dynamical systems. It represents the dynamics of output maps (aka observables), which are functions on the state space whose evaluation is interpreted as an output. Conceptually simple derivations and commentary on the…
Aleix Beneyto, Vicenç Puig, B. Wayne Bequette, Josep Vehi + 1 more
'Jonathan Golledge'] The use of automated insulin delivery systems has become a reality for people with type 1 diabetes (T1D), with several hybrid systems already on the market. One of the particularities of this technology is that the patient is in the loop. People with T1D are the plant to control and also a plant…
Ion Victor Gosea, Serkan Gugercin
We extend the Adaptive Antoulas-Anderson (AAA) algorithm to develop a data-driven modeling framework for linear systems with quadratic output (LQO). Such systems are characterized by two transfer functions: one corresponding to the linear part of the output and another one to the quadratic part. We first establish the…
Parsa Veysi, mohsen adeli, Nayerosadat Peirov Naziri, Ehsan Adeli
—This research paper presents a detailed and approachable exploration of the Linear Kalman Filter (LKF) as a pivotal tool in the fusion of data originating from multiple sensors, providing a nuanced understanding of its capabilities in managing the intricacies of dynamic system estimations and predictions. The Kalman…
Václav Skala
A solution of linear systems of equations Ax=b and Ax=0 is a vital part of many computational packages. This paper presents a novel formulation based on the projective extension of the Euclidean space using the outer product (extended cross-product). This approach enables to solve the both cases, i.e. Ax=b and Ax=0 The…
Ryan H. Allaire, Margaret Reynolds, Andrew Lee
Algebra Authors: ['Ryan H. Allaire' 'Margaret Reynolds' 'Andrew Lee'] One of the grand challenges of Mathematics instruction is to provide students with problems that are both accessible and have a reasonably elegant solution. Instructors commonly resort to resources like course textbooks, online-learning platforms, or…
Bassam Bamieh
The starting point of analysis of state space models is investigating existence, uniqueness and solution properties such as the semigroup property, and various formulas for the solutions. Several concepts such as the state transition matrix, the matrix exponential, the variations of constants formula (the Cauchy…
Peter J. Gawthrop, Michael Pan
The sensitivity of systems biology models to parameter variation can give insights into which parameters are most important for physiological function, and also direct efforts to estimate parameters. However, in general, kinetic models of biochemical systems do not remain thermodynamically consistent after perturbing…
Carla White, Vivi Rottschäfer, Lloyd Bridge
Quantification of drug-cell interactions and subsequent cellular responses by using experimental data together with mathematical models of assumed binding and signalling schematics is vital to many research programmes; data fitting provides estimates for important pharmacological parameters including kinetic parameters…
Soulaimane Berkane, Dionysis Theodosis, Tarek Hamel, Dimos V. Dimarogonas
'Dimos V. Dimarogonas'] Abstract— This letter deals with the problem of state estimation for a class of systems involving linear dynamics with multiple quadratic output measurements. We propose a systematic approach to immerse the original system into a linear time-varying (LTV) system of a higher dimension. The…
Kai Li, Ming Zhang, Xiaowen Liu, Yong Liu + 6 more
'Chen Dong' 'Shao-Ming Fei' 'Ming Li' 'Shunlong Luo'] Solving linear systems of equations is one of the most common and basic problems in classical identification systems. Given a coefficient matrix A and a vector b, the ultimate task is to find the solution x such that $Ax=b$. Based on the technique of the singular…
Peter J. Gawthrop, Michael Pan
The sensitivity of systems biology models to parameter variation can give insights into which parameters are most important for physiological function, and also direct efforts to estimate parameters. However, in general, kinetic models of biochemical systems do not remain thermodynamically consistent after perturbing…
Rodrigo Osuna-Orozco, Edward Castillo, Kameron Decker Harris, Samantha R. Santacruz
Large-scale recordings of neural activity over broad anatomical areas with high spatial and temporal resolution are increasingly common in modern experimental neuroscience. Recently, recurrent switching dynamical systems have been used to tackle the scale and complexity of these data. However, an important challenge…
Osama Abdelaleim, Arun Prakash, Ayhan Irfanoglu, Veljko Milutinovic
—Accelerating the solution of linear systems of equations is critical due to their central role in numerous applications, such as scientific simulations, data analytics, and machine learning. This paper presents a general-purpose analog direct solver circuit designed to accelerate the solution of positive definite…
Arturo Tozzi
A wide range of biological and evolutionary processes is determined not merely by the occurrence of specific events, but by the exact order in which those events unfold. Gene regulation, developmental pathways, metabolic cascades and genetic evolution often display non-commutative behaviour, in which reversing the…
Agus Hasan
Title: Graphical abstract
Mehrshad Sadria, Vasu Swaroop
Understanding the governing rules of complex biological systems remains a significant challenge due to the nonlinear, high-dimensional nature of biological data. In this study, we present CLERA, a novel end-to-end computational framework designed to uncover parsimonious dynamical models and identify active gene…
Authors not listed
Rapid and robust simulation of chemical processes is critical to conduct process design, optimization, techno-economic analysis, and sustainability analysis. Yet, efficiently solving simulation models remains a challenge due to the highly coupled and nonlinear nature of the underlying algebraic equations that capture…
Ehsanoddin Ghorbanichemazkati, Amro M. Farid
Graphs for System-of-Systems Engineering Applications Authors: ['Ehsanoddin Ghorbanichemazkati' 'Amro M. Farid'] In the 20th century, individual technology products like the generator, telephone, and automobile were connected to form many of the large-scale, complex, infrastructure networks we know today: the power…
Authors not listed
We present a vector-based method to balance chemical reactions. The algorithm builds candidates in a deterministic way, removes duplicates, and always prints coefficients in the lowest whole-number form. For redox cases, electrons and protons/hydroxide are treated explicitly, so both mass and charge are balanced. We…
Ryotaro Sakata, Tatsuya Oshima, Shin Kawai, Triet Nguyen-Van
This paper attempts to extend the concept of the equilibrium point to what is called equilibrium space, which can adapt to a system in which there exists an infinite number of equilibrium points. In the context of Lyapunov’s linearization method extended for the equilibrium space, this paper proposes a pseudo…
Authors not listed
In this work, we present an investigation of the role of basis set size on linear response (LR) calculations of electronic properties of extended systems using density functional theory with periodic boundary conditions (DFT-PBC) and Gaussian-type atomic orbital (GTO) bases. We report results of electric…
Ismaila Muhammed, Dimitris M. Manias, Dimitris A. Goussis, Haralampos Hatzikirou
Biomedical systems inherently exhibit multi-scale dynamics, making accurate system identification particularly challenging due to the complexity of capturing a wide time scale spectrum. Traditional methods capable of addressing this issue rely on explicit equations, limiting their applicability in cases where only…
Oskar Weser, Björn Hein Hanke, Ricardo Mata
In this work, we present a fully automated method for the construction of chemically meaningful sets of non-redundant internal coordinates (also commonly denoted as Z-matrices) from the cartesian coordinates of a molecular system. Particular focus is placed on avoiding ill-definitions of angles and dihedrals due to…