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    From Individual to Collective Behavior of Unicellular Organisms: Recent Results and Open Problems

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    Type
    Conference Paper
    Authors
    Xue, Chuan
    Othmer, Hans G.
    Erban, Radek
    KAUST Grant Number
    KUK-Cl-013-04
    Date
    2009-09-23
    Online Publication Date
    2009-09-23
    Print Publication Date
    2009
    Permanent link to this record
    http://hdl.handle.net/10754/623545
    
    Metadata
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    Abstract
    The collective movements of unicellular organisms such as bacteria or amoeboid (crawling) cells are often modeled by partial differential equations (PDEs) that describe the time evolution of cell density. In particular, chemotaxis equations have been used to model the movement towards various kinds of extracellular cues. Well-developed analytical and numerical methods for analyzing the time-dependent and time-independent properties of solutions make this approach attractive. However, these models are often based on phenomenological descriptions of cell fluxes with no direct correspondence to individual cell processes such signal transduction and cell movement. This leads to the question of how to justify these macroscopic PDEs from microscopic descriptions of cells, and how to relate the macroscopic quantities in these PDEs to individual-level parameters. Here we summarize recent progress on this question in the context of bacterial and amoeboid chemotaxis, and formulate several open problems.
    Citation
    Xue C, Othmer HG, Erban R, Sinclair RM, Stiefel KM (2009) From Individual to Collective Behavior of Unicellular Organisms: Recent Results and Open Problems. AIP Conference Proceedings. Available: http://dx.doi.org/10.1063/1.3246413.
    Sponsors
    This research was supported in part by NSF Grant DMS # 0817529 and NIH Grant 02911123 (HGO), by the Mathematical Biosciences Institute via a post-doctoral fellowship (CX) and by Somerville College, University of Oxford (RE). This publication is based on work supported by Award No. KUK-Cl-013-04, made by King Abdullah University of Science and Technology (KAUST) (RE).
    Publisher
    AIP Publishing
    Journal
    AIP Conference Proceedings
    Conference/Event name
    2nd Conference on Mathematics and Biology: Multiscale Phenomena in Biology
    DOI
    10.1063/1.3246413
    ae974a485f413a2113503eed53cd6c53
    10.1063/1.3246413
    Scopus Count
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