Modeling the interaction of biological cells with a solidifying interface

Anthony Chang; Jonathan A. Dantzig; Brian T. Darr; Allison Hubel

doi:10.1016/j.jcp.2007.05.039

Modeling the interaction of biological cells with a solidifying interface

Anthony Chang, Jonathan A. Dantzig, Brian T. Darr, Allison Hubel

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

In this article, we develop a modified level set method for modeling the interaction of particles with a solidifying interface. The dynamic computation of the van der Waals and drag forces between the particles and the solidification front leads to a problem of multiple length scales, which we resolve using adaptive grid techniques. We present a variety of example problems to demonstrate the accuracy and utility of the method. We also use the model to interpret experimental results obtained using directional solidification in a cryomicroscope.

Original language	English (US)
Pages (from-to)	1808-1829
Number of pages	22
Journal	Journal of Computational Physics
Volume	226
Issue number	2
DOIs	https://doi.org/10.1016/j.jcp.2007.05.039
State	Published - Oct 1 2007

Bibliographical note

Funding Information:
This work was supported in part by the National Aeronautics and Space Administration (NNC04GA46G) and the National Science Foundation (DMR-01-21695).

Keywords

Cell dehydration
Cryopreservation
Level set methods
Particle pushing
Solidification

Publisher link

10.1016/j.jcp.2007.05.039

Find It

Find It at U of M Libraries

Cite this

@article{ebc7f27ec4f04d8d8c658b678979e7dd,

title = "Modeling the interaction of biological cells with a solidifying interface",

abstract = "In this article, we develop a modified level set method for modeling the interaction of particles with a solidifying interface. The dynamic computation of the van der Waals and drag forces between the particles and the solidification front leads to a problem of multiple length scales, which we resolve using adaptive grid techniques. We present a variety of example problems to demonstrate the accuracy and utility of the method. We also use the model to interpret experimental results obtained using directional solidification in a cryomicroscope.",

keywords = "Cell dehydration, Cryopreservation, Level set methods, Particle pushing, Solidification",

author = "Anthony Chang and Dantzig, {Jonathan A.} and Darr, {Brian T.} and Allison Hubel",

note = "Funding Information: This work was supported in part by the National Aeronautics and Space Administration (NNC04GA46G) and the National Science Foundation (DMR-01-21695). ",

year = "2007",

month = oct,

day = "1",

doi = "10.1016/j.jcp.2007.05.039",

language = "English (US)",

volume = "226",

pages = "1808--1829",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Modeling the interaction of biological cells with a solidifying interface

AU - Chang, Anthony

AU - Dantzig, Jonathan A.

AU - Darr, Brian T.

AU - Hubel, Allison

N1 - Funding Information: This work was supported in part by the National Aeronautics and Space Administration (NNC04GA46G) and the National Science Foundation (DMR-01-21695).

PY - 2007/10/1

Y1 - 2007/10/1

N2 - In this article, we develop a modified level set method for modeling the interaction of particles with a solidifying interface. The dynamic computation of the van der Waals and drag forces between the particles and the solidification front leads to a problem of multiple length scales, which we resolve using adaptive grid techniques. We present a variety of example problems to demonstrate the accuracy and utility of the method. We also use the model to interpret experimental results obtained using directional solidification in a cryomicroscope.

AB - In this article, we develop a modified level set method for modeling the interaction of particles with a solidifying interface. The dynamic computation of the van der Waals and drag forces between the particles and the solidification front leads to a problem of multiple length scales, which we resolve using adaptive grid techniques. We present a variety of example problems to demonstrate the accuracy and utility of the method. We also use the model to interpret experimental results obtained using directional solidification in a cryomicroscope.

KW - Cell dehydration

KW - Cryopreservation

KW - Level set methods

KW - Particle pushing

KW - Solidification

UR - http://www.scopus.com/inward/record.url?scp=34548664351&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548664351&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2007.05.039

DO - 10.1016/j.jcp.2007.05.039

M3 - Article

AN - SCOPUS:34548664351

SN - 0021-9991

VL - 226

SP - 1808

EP - 1829

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 2

ER -

Modeling the interaction of biological cells with a solidifying interface

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this