Positions

Overview

  • Research Interests

    Blood Rheology in Microvessel Networks, Cell Adhesion

    My research focuses on blood rheology in microvessel networks. I am interested in Fahreus effect (reduction in blood cell concentration in small bore vessels), the Fahreus-Lindqvist effect (reduction in apparent viscosity in small bore vessels) and plasma skimming (the separation of cellular and plasma phases that occurs at the junction of small bore vessels. Currently I am working on a model of blood flow through networks which incorporate each of these rheological effects. Computational results present interesting nonlinear dynamics including fixed point attractors, limit cycles, and changes in the character and geometry of the attractor akin to period doubling. Experimental measurements are planned to verify these computational results.
  • Publications

    Academic Article

    Year Title
    2017 Model Microvascular Networks Can Have Many Equilibria.Bulletin of Mathematical Biology.  79:662-681. 2017
    2015 A physical sciences network characterization of circulating tumor cell aggregate transport.American Journal of Physiology - Cell Physiology.  308:C792-C802. 2015
    2010 Blood flow in microvascular networks: a study in nonlinear biology.Chaos.  20:045123. 2010
    2010 Multiple equilibrium states in a micro-vascular network.Mathematical Biosciences.  227:117-124. 2010
    2010 Bistability in a simple fluid network due to viscosity contrast.Physical review. E.  81:046316. 2010
    2007 The onset of oscillations in microvascular blood flowSIAM Journal on Applied Dynamical Systems.  6:694-727. 2007
    2005 Oscillations in a simple microvascular network.Annals of Biomedical Engineering.  33:764-771. 2005
    2000 Nonlinear dynamics of microvascular blood flow.Annals of Biomedical Engineering.  28:641-652. 2000
    1995 Plasma skimming in vascular trees: numerical estimates of symmetry recovery lengths.Microcirculation.  2:345-353. 1995
    1995 Separation surfaces for laminar flow in branching tubes--effect of Reynolds number and geometry.Journal of Biomechanical Engineering.  117:442-447. 1995
    1991 Influence of vessel diameter on red cell distribution at microvascular bifurcations.Microvascular Research.  41:184-196. 1991
    1990 Plasma skimming in serial microvascular bifurcations.Microvascular Research.  40:179-190. 1990
    1990 Dye studies on flow through branching tubes.Microvascular Research.  39:186-202. 1990
    1989 Enhancement of heat transfer in red cell suspensions in vitro experiments.Journal of Biomechanical Engineering.  111:152-156. 1989
    1989 Estimation of hematocrit profile symmetry recovery length downstream from a bifurcation.Biorheology.  26:907-920. 1989
    1985 Nonuniform red cell distribution in 20 to 100 micrometers bifurcations.Microvascular Research.  29:103-126. 1985

    Conference Proceeding

    Year Title
    2012 Mulltiple steady states in microvascular networksFASEB Journal. 2012
    2010 Oscillations in microvessel networks with RBC suspensions: Preliminary in vitro experimental results in a 3 node networkFASEB Journal. 2010
    2005 Dynamics of blood flow in a simple microvascular network (Including spontaneous flow reversal)FASEB Journal. A157-A158. 2005
    2005 Stability analysis of blood flow in microvascular networksFASEB Journal. A158-A158. 2005
    1999 More on oscillations in microvascular networksFASEB Journal. A13-A13. 1999
    1994 SEPARATION SURFACES FOR LAMINAR-FLOW IN BRANCHING TUBES - EFFECT OF REYNOLDS-NUMBER AND GEOMETRYFASEB Journal. A1035-A1035. 1994
    1994 SYMMETRY RECOVERY LENGTH IN MICROVESSELS - NUMERICAL ESTIMATESFASEB Journal. A1035-A1035. 1994
    1984 ERYTHROCYTE DISTRIBUTION DURING BLOOD-FLOW THROUGH VASCULAR BIFURCATIONSInternational Journal of Microcirculation-Clinical and Experimental. 474-474. 1984
    1984 RED-CELL SEPARATION AT 20-MUM TO 100-MUM BIFURCATIONSMicrovascular Research. 236-236. 1984

    Teaching Activities

  • Adv Rsrch Exp/Chemistry Engr Taught course 2019
  • Bioengineering Design Taught course 2019
  • Bioengineering Design Taught course 2019
  • Doctoral Research Taught course 2019
  • Rsrch Exp/Chemical Engr Taught course 2019
  • Adv Rsrch Exp/Chemical Engr Taught course 2018
  • Bioengineering Design I Taught course 2018
  • Process Dynamics and Control Taught course 2018
  • Process Dynamics and Control Taught course 2018
  • Intro Chemical Engineering II Taught course 2018
  • Bioengineering Design Taught course 2018
  • Independent Study Taught course 2018
  • Intro Chemical Engineering I Taught course 2017 - 2018
  • Appld Math for Chemical Engnrs Taught course 2017
  • Appld Math for Chemical Engnrs Taught course 2017
  • Bioengineering Design I Taught course 2017
  • Chemical Engineering Project Taught course 2017
  • Chemical Engineering Project Taught course 2017
  • Bioengineering Design Taught course 2017
  • Chemical Engineering Project Taught course 2017
  • Intro Chemical Engineering I Taught course 2017
  • Air Pollution Taught course 2016
  • Air Pollution Taught course 2016
  • Bioengineering Design I Taught course 2016
  • Doctoral Research Taught course 2016
  • Process Dynamics and Control Taught course 2016
  • Process Dynamics and Control Taught course 2016
  • Chemical Engineering Lectures Taught course 2015
  • Rsrch Exp/Chemical Engineering Taught course 2015
  • Intro Chemical Engineering I Taught course 2015
  • Chemical Engineering Lectures Taught course 2015
  • Chemical Engineering Project Taught course 2015
  • Heat Transfer&Unit Operations Taught course 2015
  • Intro Chemical Engineering I Taught course 2014 - 2015
  • Chemical Engineering Project Taught course 2014
  • Chemical Engineering Project Taught course 2014
  • Fundamentl Air Pollut & Contrl Taught course 2014
  • Fundamentl Air Pollut & Contrl Taught course 2014
  • Intro Chemical Engineering I Taught course 2014
  • Rsrch Exp/Chemical Engineering Taught course 2014
  • Intro Chemical Engineering II Taught course 2014
  • Chemical Engineering Lectures Taught course 2014
  • Fossil Fuels Renewable Energy Taught course 2014
  • Fossil Fuels Renewable Energy Taught course 2014
  • Education And Training

  • B.S. Chemical Engineering, Brigham Young University
  • M.S. Chemical Engineering, University of Rochester
  • Ph.D. Chemical Engineering, University of Rochester
  • Full Name

  • Russell Carr