Premium
A mathematical model for epithelial cell wound healing as a diffusion problem (694.6)
Author(s) -
Ogawa Katherine,
Nguyen Crystal,
Nepomuceno Helene,
HasfuraBuenaga J. Roberto,
Balreira E. Cabral,
King Jonathan
Publication year - 2014
Publication title -
the faseb journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.709
H-Index - 277
eISSN - 1530-6860
pISSN - 0892-6638
DOI - 10.1096/fasebj.28.1_supplement.694.6
Subject(s) - diffusion , wound healing , process (computing) , wound closure , confocal , diffusion process , cell growth , fick's laws of diffusion , cell migration , confocal microscopy , effective diffusion coefficient , biological system , biomedical engineering , biophysics , chemistry , cell , optics , physics , computer science , biology , medicine , immunology , knowledge management , biochemistry , innovation diffusion , radiology , magnetic resonance imaging , operating system , thermodynamics
Epithelial cells respond to a damaged cell layer by undergoing physiological transitions required for migration and wound closure. We hypothesized that a diffusion model can explain the behavior of this response. Confluent monolayers of Madin‐Darby Canine Kidney (MDCK) cells were used for wounding assays and time‐lapse imaged on a Nikon A1R laser scanning confocal microscope with live cell capability. A diffusion model was developed with a source term for proliferation. A further two‐step process was considered, where after an initial diffusion, the process shifts to a linear progression of movement. A MATLAB code was used to fit the model parameters using the finite‐difference method to determine the best fitting proliferation and diffusion coefficients by minimizing the sum of square errors. Analyses of the model indicated that following a time delay, the diffusion process transitions into a constant rate migration process. This two‐step process provided a better fit than a diffusion process. Future research will aim to associate the diffusion coefficient to the role of key tight junction proteins and the significance of the two‐step process in relation to epithelial cell migration. Grant Funding Source : Supported in part by NSF‐MRI #1229702 and NSF Award #0926702.