A framework is formulated for continuum modeling of biological tissue growth that explicitly addresses cell division, using a homogenized representation of cells and the extracellular matrix (ECM). The essential elements of this model rely on the description of the cell as containing a solution of water and osmolytes, and having osmotically inactive solid constituents that may be generically described as a porous solid matrix. The division of a cell into two nearly identical daughter cells normally starts with the duplication of cell contents during the synthesis phase, followed by cell division during the mitosis phase. Thus, ultimately, cell division is equivalent to doubling of the cell solid matrix and osmolyte content, and a resulting increase in water uptake via osmotic effects. In a homogenized representation of the tissue, the geometry of individual cells is not modeled explicitly, but their solid matrix and intracellular osmolyte content can be suitably incorporated into the analysis of the tissue response, thereby accounting for their osmotic effects. Thus, cell division can be described by the growth of these cell constituents, including the accumulation of osmotically active content, and the resultant uptake of water.
Skip Nav Destination
ASME 2009 Summer Bioengineering Conference
June 17–21, 2009
Lake Tahoe, California, USA
Conference Sponsors:
- Bioengineering Division
ISBN:
978-0-7918-4891-3
PROCEEDINGS PAPER
Continuum Modeling of Biological Tissue Growth by Cell Division
Gerard A. Ateshian,
Gerard A. Ateshian
Columbia University, New York, NY
Search for other works by this author on:
Kevin D. Costa,
Kevin D. Costa
Columbia University, New York, NY
Search for other works by this author on:
Evren U. Azeloglu,
Evren U. Azeloglu
Columbia University, New York, NY
Search for other works by this author on:
Barclay Morrison, III,
Barclay Morrison, III
Columbia University, New York, NY
Search for other works by this author on:
Clark T. Hung
Clark T. Hung
Columbia University, New York, NY
Search for other works by this author on:
Gerard A. Ateshian
Columbia University, New York, NY
Kevin D. Costa
Columbia University, New York, NY
Evren U. Azeloglu
Columbia University, New York, NY
Barclay Morrison, III
Columbia University, New York, NY
Clark T. Hung
Columbia University, New York, NY
Paper No:
SBC2009-205495, pp. 143-144; 2 pages
Published Online:
July 19, 2013
Citation
Ateshian, GA, Costa, KD, Azeloglu, EU, Morrison, B, III, & Hung, CT. "Continuum Modeling of Biological Tissue Growth by Cell Division." Proceedings of the ASME 2009 Summer Bioengineering Conference. ASME 2009 Summer Bioengineering Conference, Parts A and B. Lake Tahoe, California, USA. June 17–21, 2009. pp. 143-144. ASME. https://doi.org/10.1115/SBC2009-205495
Download citation file:
7
Views
Related Proceedings Papers
Related Articles
Influence of Stress Magnitude on Water Loss and Chondrocyte Viability in Impacted Articular Cartilage
J Biomech Eng (October,2003)
Nongray Gas Analyses for Reflecting Walls Utilizing a Flux Technique
J. Heat Transfer (August,1993)
Mid-IR Contact Probe for Examination of Live Cell Cultures
J. Med. Devices (June,2009)
Related Chapters
Comments on Measuring Economic Performance by Harold E. Marshall
Performance of Buildings and Serviceability of Facilities
Genetically Engineered Microorganisms in the Aquatic Environment: Environmental Safety Assessment
Aquatic Toxicology and Hazard Assessment: 10th Volume
Instantaneous RRMI of Iron Rods in Reduced Gravity
Flammability and Sensitivity of Materials in Oxygen-Enriched Atmospheres: 10th Volume