Modeling cancer immunotherapy: assessing the effects of lymphocytes on cancer cell growth and motility. (English) Zbl 1395.35183
Summary: A mesoscopic model is used to describe the effects of lymphocyte activity on a growing tumor. The model yields novel insights into the tumor-immune system interaction. In particular, we found that the presence of a putative chemotactic messenger that helps guide the lymphocytes towards the tumor is not critical to elicit the anti-tumor effects of the immune system, while lymphocytes that block tumor cell migration contribute to limit cancer expansion and thus have a more significant therapeutic impact.
MSC:
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 92C50 | Medical applications (general) |
| 82B31 | Stochastic methods applied to problems in equilibrium statistical mechanics |
References:
| [1] | Herr, H. W.; Morales, A., History of bacillus calmette-guerin and bladder cancer: an immunotherapy success story, J. Urol., 179, 53-56, (2008) |
| [2] | Hodi, F. S., Improved survival with ipilimumab in patients with metastatic melanoma, N. Engl. J. Med., 363, 711-723, (2010) |
| [3] | Kirschner, D.; Panetta, J. C., Modeling immunotherapy of the tumor-immune interaction, J. Math. Biol., 37, 235-252, (1998) · Zbl 0902.92012 |
| [4] | Nani, F.; Freedman, H. I., A mathematical model of cancer treatment by immunotherapy, Math. Biosci., 163, 159-199, (2000) · Zbl 0997.92024 |
| [5] | Sotolongo-Costa, O.; Morales Molina, L.; Rodríguez Pérez, D.; Antoranz, J. C.; Chacón Reyes, M., Behavior of tumors under nonstationary therapy, Physica D, 178, 242-253, (2003) · Zbl 1011.92028 |
| [6] | De Vladar, H. P.; González, J. A., Dynamic response of cancer under the influence of immunological activity and therapy, J. Theoret. Biol., 227, 335-348, (2004) · Zbl 1439.92063 |
| [7] | D’Onofrio, A., A general framework for modeling tumor-immune system competition and immunotherapy: mathematical analysis and biomedical inferences, Physica D, 208, 220-235, (2005) · Zbl 1087.34028 |
| [8] | De Pillis, L. G.; Gu, W.; Radunskaya, A. E., Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations, J. Theoret. Biol., 238, 841-862, (2006) · Zbl 1445.92135 |
| [9] | Piccoli, B.; Castiglione, F., Optimal vaccine scheduling in cancer immunotherapy, Physica A, 370, 672-680, (2006) |
| [10] | Cattani, C.; Ciancio, A., Qualitative analysis of second-order models of tumor-immune system competition, Math. Comp. Modelling, 47, 1339-1355, (2008) · Zbl 1145.34303 |
| [11] | De Pillis, L. G., Mathematical model creation for cancer chemo-immunotherapy, Comput. Math. Methods Med., 10, 165-184, (2009) · Zbl 1312.92026 |
| [12] | (Adam, J. A.; Bellomo, N., A Survey of Models for Tumor-Immune System Dynamics, (1997), Birkhäuser Boston) · Zbl 0874.92020 |
| [13] | (Deisboeck, T. S.; Stamatakos, G. S., Multiscale Cancer Modeling, (2011), Taylor & Francis Boca Raton) · Zbl 1321.92031 |
| [14] | Norris, E. S.; King, J. R.; Byrne, H. M., Modelling the response of spatially structured tumours to chemotherapy: drug kinetics, Math. Comp. Modelling, 43, 820-837, (2006) · Zbl 1130.92033 |
| [15] | Scalerandi, M.; Romano, A.; Pescarmona, G. P.; Delsanto, P. P.; Condat, C. A., Nutrient competition as a determinant for cancer growth, Phys. Rev. E, 59, 2206-2217, (1999) |
| [16] | Kansal, A. R.; Torquato, S.; Harsh IV, G. R.; Chiocca, E. A.; Deisboeck, T. S., Simulated brain tumor growth dynamics using a three dimensional cellular automaton, J. Theoret. Biol., 203, 367-382, (2000) |
| [17] | Ferreira, S. C.; Martins, M. L.; Vilela, M. J., Reaction-diffusion model for the growth of avascular tumor, Phys. Rev. E, 65, 021907, (2002), 1-8 |
| [18] | Scalerandi, M.; Capogrosso Sansone, B.; Benati, C.; Condat, C. A., Competition effects in the dynamics of tumor cords, Phys. Rev. E, 65, 051918, (2002), 1-10 |
| [19] | Mallet, D. G.; De Pillis, L. G., A cellular automata model of tumor-immune system interactions, J. Theoret. Biol., 239, 334-350, (2006) · Zbl 1445.92079 |
| [20] | De Pillis, L. G.; Mallet, D. G.; Radunskaya, A. E., Spatial tumor-immune modeling, Comput. Math. Methods Med., 7, 159-176, (2006) · Zbl 1111.92036 |
| [21] | Menchón, S. A.; Ramos, R. A.; Condat, C. A., Modeling subspecies and the tumor-immune system interaction: steps towards understanding therapy, Physica A, 386, 713-719, (2007) |
| [22] | Wodarz, D.; Komarova, N. L., Computational biology of cancer, (2005), World Scientific Singapore · Zbl 1126.92029 |
| [23] | (Morstyn, G.; Sheridan, W., Cell Therapy, (1996), Cambridge UP Cambridge, UK) |
| [24] | (DeVita, V. T.; Hellman, S.; Rosenberg, S. A., Principles and Practice of Oncology, (2005), Lippincott Williams & Wilkins Philadelphia) |
| [25] | Rosenberg, S. A., The emergence of modern cancer immunotherapy, Ann. Surg. Oncol., 12, 1-3, (2005) |
| [26] | Meltzer, M. S.; Stevenson, M. M.; Leonard, E. J., Characterization of macrophage chemotaxins in tumor cell cultures and comparison with lymphocyte-derived chemotactic factors, Cancer Res., 37, 721-725, (1977) |
| [27] | Delens, N.; Torreele, E.; Savelkool, H.; de Baetselier, P.; Bouwens, L., Tumor-derived transforming growth factor-\(\beta 1\) and interleukin-6 are chemotactic for lymphokine-activated killer cells, Int. J. Cancer, 57, 696-700, (1994) |
| [28] | Hicks, A. M., Transferable anticancer innate immunity in spontaneous regression/complete resistance mice, Proc. Natl. Acad. Sci. USA, 103, 7753-7758, (2006) |
| [29] | Brú, A.; Albertos, S.; LópezGarcía-Asenjo, J. A.; Brú, I., Pinning of tumoral growth by enhancement of immune response, Phys. Rev. Lett., 92, 238101, (2004), 1-4 |
| [30] | Condat, C. A.; CapogrossoSansone, B.; Delsanto, P. P.; Scalerandi, M., Modeling cancer growth, Rec. Res. Dev. Biophys. Chem., 2, 53-69, (2001) |
| [31] | Menchón, S. A.; Condat, C. A., Cancer growth: predictions of a realistic model, Phys. Rev. E, 78, 022901, (2008), 1-4 |
| [32] | Capogrosso Sansone, B.; Delsanto, P. P.; Magnano, M.; Scalerandi, M., Effects of anatomical constraints on tumor growth, Phys. Rev. E, 64, 021903, (2001), 1-8 |
| [33] | Menchón, S. A.; Condat, C. A., Modeling tumor cell shedding, Eur. Biophys. J., 38, 479-485, (2009) |
| [34] | Delsanto, P. P.; Griffa, M.; Condat, C. A.; Delsanto, S.; Morra, L., Bridging the gap between mesoscopic and macroscopic models: the case of multicellular tumor spheroids, Phys. Rev. Lett., 94, 148105, (2005), 1-4 |
| [35] | Goetzl, E. J.; Tashjian, A. H.; Rubin, R. H.; Austen, K. F., Production of a low molecular weight eosinophil polymorphonuclear leukocyte chemotactic factor by anaplastic squamous cell carcinomas of human lung, J. Clin. Investigation, 61, 770-780, (1978) |
| [36] | Van Damme, J.; Proost, P.; Lenaerts, J.-P.; Opdenakker G, G., Structural and functional identification of two human, tumor derived, monocyte chemotactic proteins (MCP-2 and MCP-3) belonging to the chemokine family, J. Exp. Med., 176, 59-65, (1992) |
| [37] | Wiedemann, A.; Depoil, D.; Faroudi, M.; Valitutti, S., Cytotoxic T lymphocytes kill multiple targets simultaneously via spatiotemporal uncoupling of lytic and stimulatory synapses, Proc. Natl. Acad. Sci. USA, 103, 10985-10990, (2006) |
| [38] | Speiser, D. E.; Romero, P., Molecularly defined vaccines for cancer immunotherapy, and protective T cell immunity, Semin. Immunol., 22, 144-154, (2010) |
| [39] | Curti, B. D., Influence of interleukin-2 regimens on circulating populations of lymphocytes after adoptive transfer of anti-CD3-stimulated T cells: results from a phase I trial in cancer patients, J. Immunother. Emphasis Tumor Immunol., 19, 296-308, (1996) |
| [40] | Merchant, R. E.; McVicar, D. W.; Merchant, L. H.; Young, H. F., Treatment of recurrent malignant glioma by repeated intracerebral injections of human recombinant interleukin-2 alone or in combination with systemic interferon-alpha. results of a phase I clinical trial, J Neurooncol., 12, 75-83, (1992) |
| [41] | Murray, J. D., Mathematical biology, vol. I, (2002), Springer New York · Zbl 1006.92001 |
| [42] | Beretta, E.; Kuang, Y., Geometric stability switch criteria in delay differential systems with delay dependent parameters, SIAM J. Math. Anal., 33, 1144-1165, (2002) · Zbl 1013.92034 |
| [43] | d’Onofrio, A.; Gatti, F.; Cerrai, P.; Freschi, L., Delay-induced oscillatory dynamics of tumour-immune system interaction, Math. Comp. Modelling, 51, 572-591, (2010) · Zbl 1190.34088 |
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