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Modeling the motion of a cell population in the extracellular matrix
1. | Politecnico di Torino, 24 Corso Duca degli A bruzzi, Torion 10129 |
2. | University of Alberta, Edmonton, Alberta, Canada T6G 2G1 |
[1] |
Ezio Di Costanzo, Marta Menci, Eleonora Messina, Roberto Natalini, Antonia Vecchio. A hybrid model of collective motion of discrete particles under alignment and continuum chemotaxis. Discrete and Continuous Dynamical Systems - B, 2020, 25 (1) : 443-472. doi: 10.3934/dcdsb.2019189 |
[2] |
Pierre Degond, Sophie Hecht, Nicolas Vauchelet. Incompressible limit of a continuum model of tissue growth for two cell populations. Networks and Heterogeneous Media, 2020, 15 (1) : 57-85. doi: 10.3934/nhm.2020003 |
[3] |
J. C. Dallon, Lynnae C. Despain, Emily J. Evans, Christopher P. Grant. A continuous-time stochastic model of cell motion in the presence of a chemoattractant. Discrete and Continuous Dynamical Systems - B, 2020, 25 (12) : 4839-4852. doi: 10.3934/dcdsb.2020129 |
[4] |
Brock C. Price, Xiangsheng Xu. Global existence theorem for a model governing the motion of two cell populations. Kinetic and Related Models, 2020, 13 (6) : 1175-1191. doi: 10.3934/krm.2020042 |
[5] |
Gonzalo Galiano, Sergey Shmarev, Julian Velasco. Existence and multiplicity of segregated solutions to a cell-growth contact inhibition problem. Discrete and Continuous Dynamical Systems, 2015, 35 (4) : 1479-1501. doi: 10.3934/dcds.2015.35.1479 |
[6] |
Gabriella Bretti, Ciro D’Apice, Rosanna Manzo, Benedetto Piccoli. A continuum-discrete model for supply chains dynamics. Networks and Heterogeneous Media, 2007, 2 (4) : 661-694. doi: 10.3934/nhm.2007.2.661 |
[7] |
G. Idone, A. Maugeri. Variational inequalities and a transport planning for an elastic and continuum model. Journal of Industrial and Management Optimization, 2005, 1 (1) : 81-86. doi: 10.3934/jimo.2005.1.81 |
[8] |
Phoebus Rosakis. Continuum surface energy from a lattice model. Networks and Heterogeneous Media, 2014, 9 (3) : 453-476. doi: 10.3934/nhm.2014.9.453 |
[9] |
Ali Ashher Zaidi, Bruce Van Brunt, Graeme Charles Wake. A model for asymmetrical cell division. Mathematical Biosciences & Engineering, 2015, 12 (3) : 491-501. doi: 10.3934/mbe.2015.12.491 |
[10] |
Julien Dambrine, Nicolas Meunier, Bertrand Maury, Aude Roudneff-Chupin. A congestion model for cell migration. Communications on Pure and Applied Analysis, 2012, 11 (1) : 243-260. doi: 10.3934/cpaa.2012.11.243 |
[11] |
Antonio DeSimone, Natalie Grunewald, Felix Otto. A new model for contact angle hysteresis. Networks and Heterogeneous Media, 2007, 2 (2) : 211-225. doi: 10.3934/nhm.2007.2.211 |
[12] |
Zhenzhen Zheng, Ching-Shan Chou, Tau-Mu Yi, Qing Nie. Mathematical analysis of steady-state solutions in compartment and continuum models of cell polarization. Mathematical Biosciences & Engineering, 2011, 8 (4) : 1135-1168. doi: 10.3934/mbe.2011.8.1135 |
[13] |
Li Xie, Shigui Ruan. On a macrophage and tumor cell chemotaxis system with both paracrine and autocrine loops. Communications on Pure and Applied Analysis, 2022, 21 (4) : 1447-1479. doi: 10.3934/cpaa.2022025 |
[14] |
Keith E. Howard. A size structured model of cell dwarfism. Discrete and Continuous Dynamical Systems - B, 2001, 1 (4) : 471-484. doi: 10.3934/dcdsb.2001.1.471 |
[15] |
Andrey Zvyagin. Attractors for model of polymer solutions motion. Discrete and Continuous Dynamical Systems, 2018, 38 (12) : 6305-6325. doi: 10.3934/dcds.2018269 |
[16] |
Oanh Chau, R. Oujja, Mohamed Rochdi. A mathematical analysis of a dynamical frictional contact model in thermoviscoelasticity. Discrete and Continuous Dynamical Systems - S, 2008, 1 (1) : 61-70. doi: 10.3934/dcdss.2008.1.61 |
[17] |
Pierre Degond, Angelika Manhart, Hui Yu. A continuum model for nematic alignment of self-propelled particles. Discrete and Continuous Dynamical Systems - B, 2017, 22 (4) : 1295-1327. doi: 10.3934/dcdsb.2017063 |
[18] |
Xiaoming Wang. On the coupled continuum pipe flow model (CCPF) for flows in karst aquifer. Discrete and Continuous Dynamical Systems - B, 2010, 13 (2) : 489-501. doi: 10.3934/dcdsb.2010.13.489 |
[19] |
Seung-Yeal Ha, Myeongju Kang, Bora Moon. Uniform-in-time continuum limit of the lattice Winfree model and emergent dynamics. Kinetic and Related Models, 2021, 14 (6) : 1003-1033. doi: 10.3934/krm.2021036 |
[20] |
Nicola Bellomo, Youshan Tao. Stabilization in a chemotaxis model for virus infection. Discrete and Continuous Dynamical Systems - S, 2020, 13 (2) : 105-117. doi: 10.3934/dcdss.2020006 |
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