“…Timescale separation is identified by the degree of hysteresis observed in phase-loops, which guides a “concentration-clamp” procedure for estimating explicit algebraic relationships between species equilibrating on fast timescales. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Recent developments by algebraic geometers have led to the construction of lists of invariants which have been demonstrated to be more accurate on small sequences, but were limited in that they could only be used for trees with small numbers of taxa. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Such a model required the development of a novel algebraic method that couples differential equations for slow relaxation processes to steady-state equations for fast chemical reactions. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…SPECT images are then reconstructed, either by filter back projection (FBP) analytical technique or iteratively, by algebraic methods. The aim of this study is to review filters in cardiac 2D, 3D, and 4D SPECT applications and how these affect the image quality mirroring the diagnostic accuracy of SPECT images. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Equivalent electrical circuits are used in this analysis, with circuit components consisting of: capacitances and leakage resistances to the sample probe shields; inductances and resistances of the sample probe leads; quantized Hall resistances, longitudinal resistances, and voltage generators within the quantum Hall effect device; and multiple connections to the device. We derive exact algebraic equations for the measured R(H) values expressed in terms of the circuit components. …”
Enlace del recurso
Enlace del recurso

“…Equivalent electrical circuits are utilized; they contain capacitances and leakage resistances to the sample probe shields, longitudinal resistances within the quantized Hall effect devices, and multiple connections to the devices. The algebraic solutions for the R(H) values in these circuits reveal large out-of-phase contributions to the quantized Hall voltages V(H) that would make it difficult to do accurate measurements with high precision ac bridges. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…To this aim, the present review exposes three of the fertile directions in approaching the biological activity by chemical structural causes: the special computing trace of the algebraic structure-activity relationship (SPECTRAL-SAR) offering the full analytical counterpart for multi-variate computational regression, the minimal topological difference (MTD) as the revived precursor for comparative molecular field analyses (CoMFA) and comparative molecular similarity indices analysis (CoMSIA); all of these methods and algorithms were presented, discussed and exemplified on relevant chemical medicinal systems as proton pump inhibitors belonging to the 4-indolyl,2-guanidinothiazole class of derivatives blocking the acid secretion from parietal cells in the stomach, the 1-[(2-hydroxyethoxy)-methyl]-6-(phenylthio)thymine congeners’ (HEPT ligands) antiviral activity against Human Immunodeficiency Virus of first type (HIV-1) and new pharmacophores in treating severe genetic disorders (like depression and psychosis), respectively, all involving 3D pharmacophore interactions.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Some application examples concerning discrete systems under switching rules and best approximation solvability of algebraic equations are discussed.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…We achieve this using a simple, easily understood, algebraic approach and by more sophisticated pharmacokinetic/pharmacodynamic analyses of drug action; the two approaches gave consistent results. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…An LPV representation of the power system dynamics is generated by linearization of its differential-algebraic equations about the transient operating points for some given specific faults containing the system nonlinear properties. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Our model exploits a natural separation of time scales in the cell cycle control network to construct a system of differential-algebraic equations for protein synthesis and degradation, post-translational modifications, and rapid formation and dissociation of multimeric complexes. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…We extend the standard network-based approach using the filtration method from algebraic topology which does not rely on the threshold selection problem. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Subchondral bone images were reconstructed with a conjugate gradient least squares algorithm, a total variation regularization scheme, and a discrete algebraic reconstruction technique to obtain quantitative bone morphometry, and the results obtained in this manner were compared with those obtained from the reference reconstruction. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…In addition, in scenarios with d≥2947, the boundary of the set of nearest-neighbour marginal distributions contains both flat and smoothly curved surfaces and the set itself is not semi-algebraic. This implies, in particular, that it cannot be characterized via semidefinite programming, even if we allow the input of the programme to include polynomials of nearest-neighbour probabilities.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…In this study however, an attenuation Hamiltonian is derived by the algebraic relation of the momentum and position operators, and the derived equation, where the attenuation of kinetic energy is the eigenvalue, is studied numerically. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Despite the ambiguity of this observed parameter, the method’s success is due in part to the elaborate rigorously derived algebraic theory on which it is based. Transient-state kinetics, on the other hand, despite its ability to observe the formation of intermediate steps in real time, has contributed relatively little to the subject due in, some measure, to the lack of such a solid mathematical basis. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Combining the polynomial model for the distance vs time with the solution of the algebraic cubic equation, such an analytical expression was derived. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Our novel approach employs tools from algebraic topology to characterize the global properties of network structure and dynamics. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Output from these sources can be transformed into large numbers of elements of knowledge in a Knowledge Representation Store (KRS), here using the notation and to some extent the algebraic principles of the Q-UEL Web-based universal exchange and inference language described previously, rooted in Dirac notation from quantum mechanics and linguistic theory. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The dispersion relation found is algebraically analogous to the relation of the non-flow cases obtained by Miles and Roberts (Solar Phys. 141, 205, 1992), except for the introduction of a Doppler-shifted frequency for the eigenvalue. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso