**3 results** match your criteria *Archive For Rational Mechanics And Analysis[Journal] *

- Page
**1**of**1**

Arch Ration Mech Anal 2014 Jan;211(1):257-300

Mathematical Biosciences Institute, and Department of Mathematics, Ohio State University, Columbus, Ohio 43210.

Biofilms are formed when free-floating bacteria attach to a surface and secrete polysaccharide to form an extracellular polymeric matrix (EPS). A general model of biofilm growth needs to include the bacteria, the EPS, and the solvent within the biofilm region (), and the solvent in the surrounding region (). The interface between the two regions, (), is a free boundary. Read More

## Download full-text PDF |
Source |
---|---|

http://dx.doi.org/10.1007/s00205-013-0665-1 | DOI Listing |

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3979576 | PMC |

Arch Ration Mech Anal 2012 Dec;206(3):1039-1072

Department of Mathematics and Statistics, 805 Sherbrooke Street West, Montreal, QC H3A 2K6, Tel.: 514-398-2998, ,

We develop a mechanical theory for systems of rod-like particles. Central to our approach is the assumption that the external power expenditure for any subsystem of rods is independent of the underlying frame of reference. This assumption is used to derive the basic balance laws for forces and torques. Read More

## Download full-text PDF |
Source |
---|---|

http://dx.doi.org/10.1007/s00205-012-0550-3 | DOI Listing |

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3679949 | PMC |

Arch Ration Mech Anal 2013 Jan;207(1):1-37

Department of Mathematics and Statistics, 805 Sherbrooke Street West, Montreal, QC H3A 2K6, Tel.: 514-398-2998, ,

Working on a state space determined by considering a discrete system of rigid rods, we use nonequilibrium statistical mechanics to derive macroscopic balance laws for liquid crystals. A probability function that satisfies the Liouville equation serves as the starting point for deriving each macroscopic balance. The terms appearing in the derived balances are interpreted as expected values and explicit formulas for these terms are obtained. Read More

## Download full-text PDF |
Source |
---|---|

http://dx.doi.org/10.1007/s00205-012-0551-2 | DOI Listing |

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3611664 | PMC |

- Page
**1**of**1**