Toward predicting the spatio-temporal dynamics of alopecia areata lesions using partial differential equation analysis

DOI10.1007/s11538-020-00707-0zbMath1433.92011OpenAlexW3008768481WikidataQ89871186 ScholiaQ89871186MaRDI QIDQ1987769

Yanyan Li

Publication date: 15 April 2020

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-020-00707-0

zbMATH Keywords

partial differential equations (PDEs)autoimmunityhair lossalopecia areata

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Pathology, pathophysiology (92C32)

Related Items (7)

Boundedness in a three-component chemotaxis system with nonlinear diffusion for Alopecia areata ⋮ Stability and instability in a three-component chemotaxis model for alopecia areata ⋮ Boundedness in a three-component quasilinear chemotaxis system on alopecia areata ⋮ Boundedness and asymptotic behavior in a quasilinear chemotaxis system for alopecia areata ⋮ Bifurcations of a diffusive predator–prey model with prey‐stage structure and prey‐taxis ⋮ The role of local kinetics in a three-component chemotaxis model for Alopecia areata ⋮ Combined effects of nonlinear proliferation and logistic damping in a three-component chemotaxis system for alopecia areata

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• Pattern propagation in nonlinear dissipative systems
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Analysing the dynamics of a model for alopecia areata as an autoimmune disorder of hair follicle cycling

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