Scale-free neurodegeneration: cellular heterogeneity and the stretched exponential kinetics of cell death

DOI10.1016/J.JTBI.2004.10.028zbMath1443.92077OpenAlexW2021211601WikidataQ81480679 ScholiaQ81480679MaRDI QIDQ781263

Charles J. Lumsden, Geoff Clarke

Publication date: 16 July 2020

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2004.10.028

zbMATH Keywords

heterogeneitystretched exponentialscale freemutant steady stateneurodegeneration

Mathematics Subject Classification ID

Neural biology (92C20) Pathology, pathophysiology (92C32)

Related Items (4)

Mathematical models of retinitis pigmentosa: the oxygen toxicity hypothesis ⋮ One-hit stochastic decline in a mechanochemical model of cytoskeleton-induced neuron death. I: Cell-fate arrival times ⋮ One-hit stochastic decline in a mechanochemical model of cytoskeleton-induced neuron death. II: Transition state metastability ⋮ One-hit stochastic decline in a mechanochemical model of cytoskeleton-induced neuron death. III: Diffusion pulse death zones

Cites Work

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• Photoreceptor death: spatiotemporal patterns arising from one-hit death kinetics and a diffusible cell death factor
• Numerical inversion of the Laplace transform: a survey and comparison of methods
• Ion channel kinetics: A model based on fractal scaling rather than multistate Markov processes
• Distributions of activation energy barriers that produce stretched exponential probability distributions for the time spent in each state of the two state reaction A\(\rightleftharpoons B\)
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters

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