Motivated by recent progress on the interplay between graph theory, dynamics, and systems we revisit analysis of chemical reaction networks described mass action kinetics. For possessing a thermodynamic equilibrium derive compact formulation exhibiting at same time structure complex stoichiometry network, which admits direct thermodynamical interpretation. This allows us to easily characterize set positive equilibria their stability properties. Furthermore, develop framework for...

In this paper we propose a model reduction method for biochemical reaction networks governed by variety of reversible and irreversible enzyme kinetic rate laws, including Michaelis-Menten Hill kinetics. The proceeds stepwise in the number complexes, defined as left right-hand sides reactions network. It is based on Kron weighted Laplacian matrix, which describes graph structure complexes does not rely prior knowledge dynamic behaviour network hence can be automated, demonstrate. reduced has...

Studies with dietary supplementation of various types fibers have shown beneficial effects on symptoms the metabolic syndrome. Short-chain fatty acids (SCFAs), main products intestinal bacterial fermentation fiber, been suggested to play a key role. Whether concentration SCFAs or their metabolism drives these is not yet clear. In this study we investigated SCFA concentrations and in vivo host uptake fluxes absence presence fiber guar gum. C57Bl/6J mice were fed high-fat diet supplemented 0%,...

The characterization of the notions complex and detailed balancing for mass action kinetics chemical reaction networks is revisited from perspective algebraic graph theory, in particular Kirchhoff's Matrix Tree theorem directed weighted graphs. This yields an elucidation previously obtained results, with respect to Wegscheider conditions, a new necessary sufficient condition balancing, which can be verified constructively.

A treatment of a chemical reaction network theory is given from the perspective nonlinear dynamics, in particular consensus dynamics. By starting complex-balanced assumption, dynamics governed by mass action kinetics can be rewritten into form which allows for very simple derivation number key results theory, and directly relates to thermodynamics port-Hamiltonian formulation system. Central this definition balanced Laplacian matrix on graph complexes together with resulting fundamental...

The problem of deriving reduced-order models a higher-dimensional system from its state-space description is considered under the constraint that model-reduction procedure should not involve evaluation eigenvalues, any optimisation algorithm and yield stable lower-order model for system. Routh-approximant modelling in frequency domain has above characteristics. This paper presents time-domain adaptation frequency-domain to achieve objectives s.i.s.o. systems. matrices are derived by suitable...

Derivation of suboptimal controllers, via simplified models, implies a knowledge the relevant aggregation matrices. This note presents procedure for evaluation matrix Davison's model. It is also shown that resultant feedback system, when control policy applied, stable.

This paper presents ft method for approximating a higher-order linear system transfer function by lower-order model. The is based on the requirement that frequency response of simplified model to be matched with original system. matching required in using models analysis nonlinear control systems. reported new illustrated means numerical example. A critical comparison this other existing methods simplification also presented.

A method of reduction in the computation for multiarea load-frequency-control systems is considered using aggregation due to Aoki. Also, case nonobservability some states, an observer constructed, and a controller that almost optimal obtained.

A method is developed for using simplified models, by Chidambara, deriving suboptimal controllers to the original higher-order systems. An equivalent performance criterion has been developed, which be used in conjunction with models derive controllers. The also useful when some of state variables are not accessible measurement and feedback. numerical example included illustrate procedure.

A relationship between the states of a high-order system, and its reduced-order continued fraction expansion model Chen Shieh, has been derived. This relationship, in form an aggregation matrix, used for studying dynamic response system from simulation model. An example is included to illustrate that considerable improvement results by utilizing matrix concept.

Algorithms are currently available for the solution of certain types optimal-eigenvalue-assignment problems in which eigenvalues a given system required to be shifted into preassigned locations or region while also minimising an appropriate quadratic-performance criterion. All known methods above problem based on manipulation original nth-order matrices even if only r (r ≥ n) reassigned. On contrary, method proposed this paper, problem, employs rth-order equivalent model, leads via only. The...

The roots of palindromic and antipalindromic polynomials appear in pairs (lambda,1/lambda). A polynomial with such is if only addition, it has a root at 1 an odd multiplicity. result applications system theory: 1) any kernel representation discrete-time, time-reversible, scalar, autonomous LTI either or antipalindromic. (Similar statement holds for systems inputs.) 2) representations have nontrivial conserved quantities.

A simple, effective and reliable UV photolysis digestion (UVPD) method has been developed for the determination of fluoride in pharmaceuticals containing fluorine as one constituents. It is based on use high intensity UV-irradiation presence a mixture HNO3 methanol. For optimization UVPD procedure, three bulk drug samples namely levofloxacin, nebivolol efavirenz, were chosen representatives diverse matrices: single fluorine, two atoms trifluoromethyl groups respectively. Optimization...

In this paper, we prove the global asymptotic stability of a class mass action futile cycle networks which includes model processive multisite phosphorylation networks. The proof consists two parts. first part, that there is unique equilibrium in every positive compatibility class. second make use piecewise linear rates Lyapunov function order to corresponding given initial concentration vector. main novelty paper simple algebraic approach based on intermediate value property continuous...

In this paper, we present a novel approach for decoding electromyographic signals from an amputee and interfacing them with prosthetic wrist. The model the interface makes use of electrodes placed in agonistic antagonistic sides forearm. decodes these order to control both position stiffness

This study explored the link between clinical features, immune markers, and asthma-chronic obstructive pulmonary disease overlap (ACO), aiming to enhance diagnostic precision tailor treatment. The included 60 patients per group: COPD patients, ACO healthy controls. Biological indicators such as fractional exhaled nitric oxide (FeNO), eosinophils, immunoglobulin E (IgE), T helper (Th) 17 cell counts, regulatory T-cell (Treg) cytokine levels of interleukin-17 (IL-17) interleukin-10 (IL-10)...

A modified balancing model-reduction method is proposed for frequency domain robust control system design. The reduced-order model obtained by approximating the states of weak subsystem balanced representation around zero frequency. Several properties and error bounds reduced are derived. critical comparison made with B.C. Moore's (1981) direct truncation. numerical example included.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

This correspondence presents an algorithm for finding continued fraction inversion by Routh's algorithm. A recursive relation is given to implement the in a very simple way. approach requires less computation when compared with existing techniques. The method demonstrated means of numerical example.