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Realization of immune response features by dynamical system models
Resistance mechanisms matter in SIR models
| 1. | Theoretical Biology and Biophysics Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, United States |
| 2. | Department of Epidemiology and Public Health, Yale University School of Medicine, New Haven, CT 06520, United States |
| [1] |
Piotr Bajger, Mariusz Bodzioch, Urszula Foryś. Singularity of controls in a simple model of acquired chemotherapy resistance. Discrete and Continuous Dynamical Systems - B, 2019, 24 (5) : 2039-2052. doi: 10.3934/dcdsb.2019083 |
| [2] |
Urszula Ledzewicz, Heinz Schättler. Drug resistance in cancer chemotherapy as an optimal control problem. Discrete and Continuous Dynamical Systems - B, 2006, 6 (1) : 129-150. doi: 10.3934/dcdsb.2006.6.129 |
| [3] |
Sebastian Bonhoeffer, Pia Abel zur Wiesch, Roger D. Kouyos. Rotating antibiotics does not minimize selection for resistance. Mathematical Biosciences & Engineering, 2010, 7 (4) : 919-922. doi: 10.3934/mbe.2010.7.919 |
| [4] |
Cristian Tomasetti, Doron Levy. An elementary approach to modeling drug resistance in cancer. Mathematical Biosciences & Engineering, 2010, 7 (4) : 905-918. doi: 10.3934/mbe.2010.7.905 |
| [5] |
Donato Patrizia, Andrey Piatnitski. On the effective interfacial resistance through rough surfaces. Communications on Pure and Applied Analysis, 2010, 9 (5) : 1295-1310. doi: 10.3934/cpaa.2010.9.1295 |
| [6] |
Avner Friedman, Najat Ziyadi, Khalid Boushaba. A model of drug resistance with infection by health care workers. Mathematical Biosciences & Engineering, 2010, 7 (4) : 779-792. doi: 10.3934/mbe.2010.7.779 |
| [7] |
Nicolas Bacaër, Cheikh Sokhna. A reaction-diffusion system modeling the spread of resistance to an antimalarial drug. Mathematical Biosciences & Engineering, 2005, 2 (2) : 227-238. doi: 10.3934/mbe.2005.2.227 |
| [8] |
Hengki Tasman, Edy Soewono, Kuntjoro Adji Sidarto, Din Syafruddin, William Oscar Rogers. A model for transmission of partial resistance to anti-malarial drugs. Mathematical Biosciences & Engineering, 2009, 6 (3) : 649-661. doi: 10.3934/mbe.2009.6.649 |
| [9] |
Zhenzhen Chen, Sze-Bi Hsu, Ya-Tang Yang. The continuous morbidostat: A chemostat with controlled drug application to select for drug resistance mutants. Communications on Pure and Applied Analysis, 2020, 19 (1) : 203-220. doi: 10.3934/cpaa.2020011 |
| [10] |
Piotr Bajger, Mariusz Bodzioch, Urszula Foryś. Corrigendum to "Singularity of controls in a simple model of acquired chemotherapy resistance". Discrete and Continuous Dynamical Systems - B, 2020, 25 (5) : 2021-2021. doi: 10.3934/dcdsb.2020105 |
| [11] |
Robert E. Beardmore, Rafael Peña-Miller. Rotating antibiotics selects optimally against antibiotic resistance, in theory. Mathematical Biosciences & Engineering, 2010, 7 (3) : 527-552. doi: 10.3934/mbe.2010.7.527 |
| [12] |
Urszula Ledzewicz, Shuo Wang, Heinz Schättler, Nicolas André, Marie Amélie Heng, Eddy Pasquier. On drug resistance and metronomic chemotherapy: A mathematical modeling and optimal control approach. Mathematical Biosciences & Engineering, 2017, 14 (1) : 217-235. doi: 10.3934/mbe.2017014 |
| [13] |
Ami B. Shah, Katarzyna A. Rejniak, Jana L. Gevertz. Limiting the development of anti-cancer drug resistance in a spatial model of micrometastases. Mathematical Biosciences & Engineering, 2016, 13 (6) : 1185-1206. doi: 10.3934/mbe.2016038 |
| [14] |
Stamatios Katsikas, Vassilli Kolokoltsov. Evolutionary, mean-field and pressure-resistance game modelling of networks security. Journal of Dynamics and Games, 2019, 6 (4) : 315-335. doi: 10.3934/jdg.2019021 |
| [15] |
Daniel J. Kelleher, Hugo Panzo, Antoni Brzoska, Alexander Teplyaev. Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions. Discrete and Continuous Dynamical Systems - S, 2019, 12 (1) : 27-42. doi: 10.3934/dcdss.2019002 |
| [16] |
Jian Zu, Miaolei Li, Yuexi Gu, Shuting Fu. Modelling the evolutionary dynamics of host resistance-related traits in a susceptible-infected community with density-dependent mortality. Discrete and Continuous Dynamical Systems - B, 2020, 25 (8) : 3049-3086. doi: 10.3934/dcdsb.2020051 |
| [17] |
Arturo Alvarez-Arenas, Konstantin E. Starkov, Gabriel F. Calvo, Juan Belmonte-Beitia. Ultimate dynamics and optimal control of a multi-compartment model of tumor resistance to chemotherapy. Discrete and Continuous Dynamical Systems - B, 2019, 24 (5) : 2017-2038. doi: 10.3934/dcdsb.2019082 |
| [18] |
Nishant Sinha. Internal state recovery of Espresso stream cipher using conditional sampling resistance and TMDTO attack. Advances in Mathematics of Communications, 2021, 15 (3) : 539-556. doi: 10.3934/amc.2020081 |
| [19] |
Qi Deng, Zhipeng Qiu, Ting Guo, Libin Rong. Modeling within-host viral dynamics: The role of CTL immune responses in the evolution of drug resistance. Discrete and Continuous Dynamical Systems - B, 2021, 26 (7) : 3543-3562. doi: 10.3934/dcdsb.2020245 |
| [20] |
Andrew Yates, Robin Callard. Cell death and the maintenance of immunological memory. Discrete and Continuous Dynamical Systems - B, 2001, 1 (1) : 43-59. doi: 10.3934/dcdsb.2001.1.43 |
2018 Impact Factor: 1.313
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