Mathematical models for cell migration: a non-local perspective L Chen, K Painter, C Surulescu, A Zhigun Philosophical Transactions of the Royal Society B 375 (1807), 20190379, 2020 | 54 | 2020 |
Global existence for a degenerate haptotaxis model of cancer invasion A Zhigun, C Surulescu, A Uatay Zeitschrift für angewandte Mathematik und Physik 67, 1-29, 2016 | 47 | 2016 |
A strongly degenerate diffusion‐haptotaxis model of tumour invasion under the go‐or‐grow dichotomy hypothesis A Zhigun, C Surulescu, A Hunt Mathematical Methods in the Applied Sciences 41 (6), 2403-2428, 2018 | 26 | 2018 |
Generalised supersolutions with mass control for the Keller–Segel system with logarithmic sensitivity A Zhigun Journal of Mathematical Analysis and Applications 467 (2), 1270-1286, 2018 | 21 | 2018 |
Nonlocal and local models for taxis in cell migration: a rigorous limit procedure M Eckardt, KJ Painter, C Surulescu, A Zhigun Journal of Mathematical Biology 81, 1251-1298, 2020 | 16* | 2020 |
Analysis of a degenerate biofilm model with a nutrient taxis term HJ Eberl, MA Efendiev, D Wrzosek, A Zhigun Discrete and Continuous Dynamical Systems 34 (1), 99-119, 2013 | 13 | 2013 |
Generalized global supersolutions with mass control for systems with taxis A Zhigun SIAM Journal on Mathematical Analysis 51 (3), 2425-2443, 2019 | 12 | 2019 |
On a coupled SDE-PDE system modeling acid-mediated tumor invasion SA Hiremath, C Surulescu, A Zhigun, S Sonner | 12 | 2018 |
A novel derivation of rigorous macroscopic limits from a micro-meso description of signal-triggered cell migration in fibrous environments A Zhigun, C Surulescu SIAM Journal on Applied Mathematics 82 (1), 142-167, 2022 | 11 | 2022 |
Global existence for a degenerate haptotaxis model of tumor invasion under the go-or-grow dichotomy hypothesis A Zhigun, C Surulescu, A Hunt arXiv preprint arXiv:1605.09226, 2016 | 9 | 2016 |
Mathematical models for cell migration: a nonlocal perspective L Chen, K Painter, C Surulescu, A Zhigun arXiv preprint arXiv:1911.05200, 2019 | 6 | 2019 |
Analysis of a bacterial model with nutrient‐dependent degenerate diffusion T Horger, C Kuttler, B Wohlmuth, A Zhigun Mathematical Methods in the Applied Sciences 38 (17), 3851-3865, 2015 | 5 | 2015 |
On a'balance'condition for a class of PDEs including porous medium and chemotaxis effect: Non-aoutonomous case M Efendiev, A Zhigun Advances in Mathematical Sciences and Applications 21 (2), 285, 2011 | 5 | 2011 |
Multiphase modelling of glioma pseudopalisading under acidosis P Kumar, C Surulescu, A Zhigun arXiv preprint arXiv:2106.15241, 2021 | 4 | 2021 |
On a global uniform pullback attractor of a class of PDEs with degenerate diffusion and chemotaxis in one dimension M Efendiev, A Zhigun Recent Trends in Dynamical Systems: Proceedings of a Conference in Honor of …, 2013 | 3 | 2013 |
Modelling non-local cell-cell adhesion: a multiscale approach A Zhigun, ML Rajendran Journal of Mathematical Biology 88 (5), 1-35, 2024 | 2 | 2024 |
Flux limitation mechanisms arising in multiscale modelling of cancer invasion A Zhigun Mathematical Proceedings of the Royal Irish Academy 122 (1), 5-26, 2022 | 2 | 2022 |
On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis M Efendiev, A Zhigun arXiv preprint arXiv:1705.10403, 2017 | 2 | 2017 |
The Malliavin derivative and compactness: application to a degenerate PDE-SDE coupling A Zhigun arXiv preprint arXiv:1609.01495, 2016 | 2 | 2016 |
On a model for epidemic spread with interpopulation contact and repellent taxis CS Ruoja, C Surulescu, A Zhigun arXiv preprint arXiv:1902.02171, 2019 | 1 | 2019 |