Revisiting the Fisher–Kolmogorov–Petrovsky–Piskunov equation to interpret the spreading–extinction dichotomy M El-Hachem, SW McCue, W Jin, Y Du, MJ Simpson Proceedings of the Royal Society A 475 (2229), 20190378, 2019 | 80 | 2019 |
High order spatial generalization of 2D and 3D isotropic discrete gradient operators with fast evaluation on GPUs S Leclaire, M El-Hachem, JY Trépanier, M Reggio Journal of Scientific Computing 59 (3), 545-573, 2014 | 33 | 2014 |
Exact sharp-fronted travelling wave solutions of the Fisher–KPP equation SW McCue, M El-Hachem, MJ Simpson Applied Mathematics Letters 114, 106918, 2021 | 30 | 2021 |
A sharp-front moving boundary model for malignant invasion M El-Hachem, SW McCue, MJ Simpson Physica D: Nonlinear Phenomena 412, 132639, 2020 | 26 | 2020 |
Invading and receding sharp-fronted travelling waves M El-Hachem, SW McCue, MJ Simpson Bulletin of Mathematical Biology 83 (4), 35, 2021 | 20 | 2021 |
Travelling wave analysis of cellular invasion into surrounding tissues M El-Hachem, SW McCue, MJ Simpson Physica D: Nonlinear Phenomena 428, 133026, 2021 | 17 | 2021 |
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model SW McCue, M El‐Hachem, MJ Simpson Studies in Applied Mathematics 148 (2), 964-986, 2022 | 10 | 2022 |
Non-vanishing sharp-fronted travelling wave solutions of the Fisher–Kolmogorov model M El-Hachem, SW McCue, MJ Simpson Mathematical Medicine and Biology: A Journal of the IMA 39 (3), 226-250, 2022 | 7 | 2022 |
Convolution kernel for fast CPU/GPU computation of 2D/3D isotropic gradients on a square/cubic lattice S Leclaire, M El-Hachem, M Reggio MATLAB–A Fundamental Tool for Scientific Computing and Engineering …, 2012 | 5 | 2012 |
A continuum mathematical model of substrate-mediated tissue growth M El-Hachem, SW McCue, MJ Simpson Bulletin of Mathematical Biology 84 (4), 49, 2022 | 4 | 2022 |
Coexistence in two-species competition with delayed maturation M El-Hachem, NJ Beeton Journal of Mathematical Biology 88 (1), 11, 2024 | 1 | 2024 |
Mathematical models of biological invasion M El-Hachem Queensland University of Technology, 2022 | 1 | 2022 |
Revisiting the Fisher-KPP equation to interpret the spreading-extinction dichotomy M El-Hachem, SW McCue, W Jin, Y Du, MJ Simpson bioRxiv, 673202, 2019 | | 2019 |
Sequences of 3D filters in a unifying approach to 3D vessel modelling from medical images, and GPU implementation M Côté, M El-Hachem, B Ozell | | 2007 |