A model of amplification

DOI10.1016/0377-0427(95)00052-6zbMath0845.92003OpenAlexW2117625969MaRDI QIDQ1917839

Ivo Marek, Erich Bohl

Publication date: 18 September 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00052-6

zbMATH Keywords

perturbationregularizationlinear modelinfinitesimal generatorpartial ordercooperative systemspositive semigroupsreaction networkamplification effectcascade of visionappropriate Banach spacesPerron eigenprojectionspectral generalized inversestimulus of light

Mathematics Subject Classification ID

Neural biology (92C20) Groups and semigroups of linear operators (47D03) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (5)

Input-output systems in Biology and Chemistry and a class of mathematical models describing them. ⋮ Algebraic Schwarz methods for the numerical solution of Markov chains ⋮ Unnamed Item ⋮ A stability theorem for a class of linear evolution systems ⋮ Convergence theory of some classes of iterative aggregation/disaggregation methods for computing stationary probability vectors of stochastic matrices

Cites Work

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• Pseudoirreducible and pseudoprimitive bounded operators
• Perturbation of spectral inverses applied to a boundary layer phenomenon arising in chemical networks
• Perturbation theory for linear operators.
• A nonlinear model involving \(M\)-operators. An amplification effect measured in the cascade of vision
• Splittings ofM-operators: Irreducibility and the index of the iteration operator
• A Boundary Layer Phenomenon for Linear Systems with a Rank Deficient Matrix
• Frobenius Theory of Positive Operators: Comparison Theorems and Applications

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