期刊
IMA JOURNAL OF APPLIED MATHEMATICS
卷 79, 期 4, 页码 636-660出版社
OXFORD UNIV PRESS
DOI: 10.1093/imamat/hxu028
关键词
bleb; solid mechanics; cellular motion; semi-inverse problem
资金
- King Abdullah University of Science and Technology (KAUST) [KUK-C1-013-04]
Membrane protrusions known as blebs play important roles in many cellular phenomena. Here we present three mathematical models of the bleb formation, which use biological insights to produce phenotypically accurate pressure-driven expansions. First, we introduce a recently suggested solid mechanics framework that is able to create blebs through stretching the membrane. This framework is then extended to include reference state reconfigurations, which models membrane growth. Finally, the stretching and reconfiguring mechanical models are compared with a much simpler geometrically constrained solution. This allows us to demonstrate that simpler systems are able to capture much of the biological complexity despite more restrictive assumptions. Moreover, the simplicity of the spherical model allows us to consider multiple blebs in a tractable framework.
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