Simplifying biochemical tumorous bone remodeling models through variable order derivatives

DOI10.1016/J.CAMWA.2018.01.037zbMath1409.92088DBLPjournals/cma/NetoCVVSMMD18OpenAlexW2792685619WikidataQ104406972 ScholiaQ104406972MaRDI QIDQ1732527

Michal Macias, Duarte Valério, Wiktor Malesza, Andrzej Dzieliński, Joana P. Neto, Dominik Sierociuk, Susana Vinga, Rui Moura Coelho

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.01.037

zbMATH Keywords

fractional calculusbone metastasisbone remodelingosteolyticvariable order derivatives

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40)

Related Items (6)

Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations ⋮ Applications of variable-order fractional operators: a review ⋮ Dynamic modeling of bone remodeling, osteolytic metastasis and PK/PD therapy: introducing variable order derivatives as a simplification technique ⋮ Realization of the Fractional Variable-Order Model with Symmetric Property ⋮ A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications ⋮ Effective numerical technique for solving variable order integro-differential equations

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