A model of controlled growth

DOI10.1007/s00205-017-1183-3zbMath1384.35133arXiv1608.08645OpenAlexW2512233842WikidataQ59263717 ScholiaQ59263717MaRDI QIDQ1702551

Alberto Bressan, Marta Lewicka

Publication date: 28 February 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08645

zbMATH Keywords

minimizationbiological tissuecontrolling volume growthelastic deformation energy

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Geometry, analysis, and morphogenesis: Problems and prospects, Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential, Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems

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