Document Detail


An agent-based model for elasto-plastic mechanical interactions between cells, basement membrane and extracellular matrix.
MedLine Citation:
PMID:  23311363     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
The basement membrane (BM) and extracellular matrix (ECM) play critical roles in developmental and cancer biology, and are of great interest in biomathematics. We introduce a model of mechanical cell-BM-ECM interactions that extends current (visco)elastic models (e.g. [8,16]), and connects to recent agent-based cell models (e.g. [2,3,20,26]). We model the BM as a linked series of Hookean springs, each with time-varying length, thickness, and spring constant. Each BM spring node exchanges adhesive and repulsive forces with the cell agents using potential functions. We model elastic BM-ECM interactions with analogous ECM springs. We introduce a new model of plastic BM and ECM reorganization in response to prolonged strains, and new constitutive relations that incorporate molecular-scale effects of plasticity into the spring constants. We find that varying the balance of BM and ECM elasticity alters the node spacing along cell boundaries, yielding a nonuniform BM thickness. Uneven node spacing generates stresses that are relieved by plasticity over long times. We find that elasto-viscoplastic cell shape response is critical to relieving uneven stresses in the BM. Our modeling advances and results highlight the importance of rigorously modeling of cell-BM-ECM interactions in clinically important conditions with significant membrane deformations and time-varying membrane properties, such as aneurysms and progression from in situ to invasive carcinoma.
Authors:
Gianluca D'Antonio; Paul Macklin; Luigi Preziosi
Related Documents :
22501763 - Time reversal mirror localization technology based on a high-resolution mvdr algorithm.
23563583 - A high-throughput media design approach for high performance mammalian fed-batch cultures.
22116013 - The relationship between perceptions of organizational functioning and voluntary counse...
Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Mathematical biosciences and engineering : MBE     Volume:  10     ISSN:  1551-0018     ISO Abbreviation:  Math Biosci Eng     Publication Date:  2013 Feb 
Date Detail:
Created Date:  2013-01-14     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101197794     Medline TA:  Math Biosci Eng     Country:  United States    
Other Details:
Languages:  eng     Pagination:  75-101     Citation Subset:  IM    
Affiliation:
Politecnico di Torino, Torino, 10124, Italy. gianluca.dantonio@studenti.polito.it.
Export Citation:
APA/MLA Format     Download EndNote     Download BibTex
MeSH Terms
Descriptor/Qualifier:

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


Previous Document:  Approximate smooth solutions of a mathematical model for the activation and clonal expansion of T ce...
Next Document:  Parameter space exploration within dynamic simulations of signaling networks.