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A Finite Element Method for Modeling Surface Growth and Resorption of Deformable Bodies with Applications to Cell Migration
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | A Finite Element Method for Modeling Surface Growth and Resorption of Deformable Bodies with Applications to Cell Migration. |
| 개인저자 | Bergel, Guy Leshem. |
| 단체저자명 | University of California, Berkeley. Civil and Environmental Engineering. |
| 발행사항 | [S.l.]: University of California, Berkeley., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 117 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781085776936 |
| 학위논문주기 | Thesis (Ph.D.)--University of California, Berkeley, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Papadopoulos, Panayiotis |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | Surface growth/resorption is the process wherein material is added to or removed from the boundary of a physical body. As a consequence, the set of material points constituting the body is time-dependent and thus lacks a static reference configuration. In this dissertation, kinematics and balance laws are formulated for a body undergoing surface growth/resorption and finite deformation. This is achieved by defining an evolving reference configuration termed the intermediate configuration which tracks the set of material points constituting the body at a given time.An extension of the Arbitrary Lagrangian-Eulerian finite element method is introduced to solve the discretized set of balance laws on the grown/resorpted body, alongside algorithmic implementations to track the evolving boundary of the physical body. The effect of accreting material with no prior history of deformation onto a body undergoing rigid motions as well as a loaded body is discussed. Moreover, the correlation between growth/resorption rate and the spatial and temporal convergence of the finite element approximations of fields are illustrated.The numerical implementation for surface growth and resorption is used to simulate a migrating cell which moves in an apparent "treadmilling" motion on a substrate by polymerizing and de-polymerizing microfilaments along its boundary. An example is presented which defines a surface growth law based on the nucleation and dissociation of chemical species, and the steady-state treadmilling velocity is computed for various assumed cell shapes. Lastly, simulation results are shown for an idealized cell colliding with external barriers, leading to a re-orientation of the surface growth/resorption direction. The effects of dynamic contact on the surface growth/resorption as well as the stress and deformation are discussed. |
| 일반주제명 | Civil engineering. Mechanical engineering. Mechanics. |
| 언어 | 영어 |
| 바로가기 | 
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