A review of chemical gradient systems for cell analysis H Somaweera, A Ibraguimov, D Pappas Analytica chimica acta 907, 7-17, 2016 | 97 | 2016 |

Analysis of generalized Forchheimer flows of compressible fluids in porous media E Aulisa, L Bloshanskaya, L Hoang, A Ibragimov Journal of Mathematical Physics 50 (10), 2009 | 93 | 2009 |

A mathematical model of atherogenesis as an inflammatory response AI Ibragimov, CJ McNeal, LR Ritter, JR Walton Mathematical Medicine and Biology 22 (4), 305-333, 2005 | 88 | 2005 |

Structural stability of generalized Forchheimer equations for compressible fluids in porous media L Hoang, A Ibragimov Nonlinearity 24 (1), 1, 2010 | 62 | 2010 |

Mathematical model for Darcy Forchheimer flow with applications to well performance analysis AM Amao | 61 | 2007 |

Pre-Darcy flow revisited under experimental investigation F Siddiqui, MY Soliman, W House, A Ibragimov Journal of Analytical Science and Technology 7 (1), 1-9, 2016 | 47 | 2016 |

Mathematical framework of the well productivity index for fast Forchheimer (non-Darcy) flows in porous media E Aulisa, A Ibragimov, P Valko, J Walton Mathematical Models and Methods in Applied Sciences 19 (08), 1241-1275, 2009 | 47 | 2009 |

Qualitative study of generalized Forchheimer flows with the flux boundary condition L Hoang, A Ibragimov | 41 | 2012 |

On a mathematical model of the productivity index of a well from reservoir engineering A Ibragimov, D Khalmanova, PP Valko, JR Walton SIAM Journal on Applied Mathematics 65 (6), 1952-1980, 2005 | 32 | 2005 |

Geometric framework for modeling nonlinear flows in porous media, and its applications in engineering E Aulisa, A Ibragimov, M Toda Nonlinear Analysis: Real World Applications 11 (3), 1734-1751, 2010 | 30 | 2010 |

A new method for evaluating the productivity index of nonlinear flows E Aulisa, A Ibragimov, JR Walton SPE Journal 14 (04), 693-706, 2009 | 30 | 2009 |

Generation of a chemical gradient across an array of 256 cell cultures in a single chip H Somaweera, A Ibragimov, D Pappas Analyst 138 (19), 5566-5571, 2013 | 29 | 2013 |

Stability of solutions to generalized Forchheimer equations of any degree L Hoang, A Ibragimov, T Kieu, Z Sobol Journal of Mathematical Sciences 210, 476-544, 2015 | 28 | 2015 |

One-dimensional axial simulation of electric double layer overlap effects in devices combining micro-and nanochannels BT Hughes, JM Berg, DL James, A Ibraguimov, S Liu, H Temkin Microfluidics and nanofluidics 5, 761-774, 2008 | 25 | 2008 |

FLUID STRUCTURE INTERACTION PROBLEM WITH CHANGING THICKNESS BEAM AND SLIGHTLY COMPRESSIBLE FLUID. E Aulisa, A Ibragimov, EY Kaya-Cekin Discrete & Continuous Dynamical Systems-Series S 7 (6), 2014 | 21 | 2014 |

On-chip gradient generation in 256 microfluidic cell cultures: simulation and experimental validation H Somaweera, SO Haputhanthri, A Ibraguimov, D Pappas Analyst 140 (15), 5029-5038, 2015 | 19 | 2015 |

One-dimensional two-phase generalized Forchheimer flows of incompressible fluids LT Hoang, A Ibragimov, TT Kieu Journal of Mathematical Analysis and Applications 401 (2), 921-938, 2013 | 18 | 2013 |

Long-term dynamics for well productivity index for nonlinear flows in porous media E Aulisa, L Bloshanskaya, A Ibragimov Journal of mathematical physics 52 (2), 2011 | 18 | 2011 |

Stability analysis of a reaction-diffusion system modeling atherogenesis A Ibragimov, L Ritter, JR Walton SIAM Journal on Applied Mathematics 70 (7), 2150-2185, 2010 | 17 | 2010 |

A stability estimate for fluid structure interaction problem with non-linear beam E Kaya, E Aulisa, A Ibragimov, P Seshaiyer Conference Publications 2009 (Special), 424-432, 2009 | 17 | 2009 |