A class of exact solutions for biomacromolecule diffusion-reaction in live cells

DOI10.1016/j.jtbi.2010.03.028zbMath1406.92254OpenAlexW1993327456WikidataQ33544038 ScholiaQ33544038MaRDI QIDQ1719771

Kouroush Sadegh Zadeh, Hubert J. Montas

Publication date: 12 February 2019

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2010.03.028

zbMATH Keywords

Laplace transformsensitivity analysisconvolutionHankel transformGaussian laser beamsystems biologyDirac delta functionfluorescence recovery after photobleaching (FRAP)

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Cell biology (92C37) Systems biology, networks (92C42)

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Cites Work

• Unnamed Item
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• Diffusion approximation of the stochastic process of microtubule assembly
• Motion of nanobeads proximate to plasma membranes during single particle tracking
• Characterizing fluorescence recovery curves for nuclear proteins undergoing binding events
• Optimizing detection of tissue anisotropy by fluorescence recovery after photobleaching
• Efficient stochastic sensitivity analysis of discrete event systems
• Diffusion of clusters of transmembrane proteins as a model of focal adhesion remodeling
• Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
• Multiple objects tracking in fluorescence microscopy
• Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations
• Investigation of binding mechanisms of nuclear proteins using confocal scanning laser microscopy and FRAP
• Parameter estimation in flow through partially saturated porous materials
• Multi-objective optimization in variably saturated fluid flow
• Statistical analysis of sets of random walks: How to resolve their generating mechanism
• Markov random field modeling of the spatial distribution of proteins on cell membranes
• A parameter sensitivity methodology in the context of HIV delay equation models
• An uncoupling procedure for a class of coupled linear partial differential equations
• On the Solution of Reaction—Diffusion Equations
• A method for finding exact solutions to hyperbolic systems of first-order PDEs
• A Note on the Solution of Reaction-diffusion Equations with Convection
• Mathematical Theory of a Kinetic Model for Dispersion of Previously Distributed Chemicals in a Sorbing Porous Medium
• ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION

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