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A Finite Element Method for Modeling...

Bergel, Guy Leshem.

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A Finite Element Method for Modeling Surface Growth and Resorption of Deformable Bodies with Applications to Cell Migration.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A Finite Element Method for Modeling Surface Growth and Resorption of Deformable Bodies with Applications to Cell Migration./
Author:	Bergel, Guy Leshem.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2019,
Description:	117 p.
Notes:	Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Contained By:	Dissertations Abstracts International81-04B.
Subject:	Civil engineering. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=13809457
ISBN:	9781085776936

A Finite Element Method for Modeling Surface Growth and Resorption of Deformable Bodies with Applications to Cell Migration.
Bergel, Guy Leshem.

A Finite Element Method for Modeling Surface Growth and Resorption of Deformable Bodies with Applications to Cell Migration. - Ann Arbor : ProQuest Dissertations & Theses, 2019 - 117 p.

Source: Dissertations Abstracts International, Volume: 81-04, Section: B.

Thesis (Ph.D.)--University of California, Berkeley, 2019.

This item must not be sold to any third party vendors.

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.

ISBN: 9781085776936Subjects--Topical Terms:

860360
Civil engineering.
Subjects--Index Terms:

Arbitrary Lagrangian-Eulerian FEM

A Finite Element Method for Modeling Surface Growth and Resorption of Deformable Bodies with Applications to Cell Migration.
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020 $a 9781085776936
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100 1 $a Bergel, Guy Leshem. $3 3544329
245 1 0 $a A Finite Element Method for Modeling Surface Growth and Resorption of Deformable Bodies with Applications to Cell Migration.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2019
300 $a 117 p.
500 $a Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
500 $a Advisor: Papadopoulos, Panayiotis;Taylor, Robert L.
502 $a Thesis (Ph.D.)--University of California, Berkeley, 2019.
506 $a This item must not be sold to any third party vendors.
520 $a 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.
590 $a School code: 0028.
650 4 $a Civil engineering. $3 860360
650 4 $a Mechanical engineering. $3 649730
650 4 $a Mechanics. $3 525881
653 $a Arbitrary Lagrangian-Eulerian FEM
653 $a Cell motility
653 $a Front-tracking algorithm
653 $a Surface growth and resorption
653 $a Kinematics
690 $a 0543
690 $a 0548
690 $a 0346
710 2 $a University of California, Berkeley. $b Civil and Environmental Engineering. $3 1043687
773 0 $t Dissertations Abstracts International $g 81-04B.
790 $a 0028
791 $a Ph.D.
792 $a 2019
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=13809457