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2018 | OriginalPaper | Chapter

PAM: Discrete 3-D Model of Tumor Dynamics in the Presence of Anti-tumor Treatment

Authors : Marta Panuszewska, Bartosz Minch, Rafał Wcisło, Witold Dzwinel

Published in: Cellular Automata

Publisher: Springer International Publishing

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Abstract

Existing computer models of cancer focus mostly on disease progression rather than its remission/recurrence caused by anti-cancer therapy. Herein, we present a discrete model of tumor evolution in 3D, based on the Particle Automata Model (PAM) that allows for following the spatio-temporal dynamics of a small neoplasm (millimeters in diameter) under treatment. We confront the 3D model with its simplified 0D version. We demonstrate that the spatial factors such as the vascularization density, absent in the structureless 0D cancer models, can critically influence the results of treatment. We discuss briefly the role of computer simulations in personalized anti-cancer therapy.

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Literature
2.
go back to reference Bender, J., Koschier, D.: Divergence-free smoothed particle hydrodynamics. In: Proceedings of ACM SIGGRAPH/EUROGRAPHICS Symposium on Computer Animation (SCA) (2015) Bender, J., Koschier, D.: Divergence-free smoothed particle hydrodynamics. In: Proceedings of ACM SIGGRAPH/EUROGRAPHICS Symposium on Computer Animation (SCA) (2015)
3.
go back to reference Benzekry, S., Lamont, C., Beheshti, A., Tracz, A., Ebos, J.M.L., Hlatky, L.: Classical mathematical models for description and prediction of experimental tumor growth. PLoS Comput. Biol. 10(8), e1003800 (2014)CrossRef Benzekry, S., Lamont, C., Beheshti, A., Tracz, A., Ebos, J.M.L., Hlatky, L.: Classical mathematical models for description and prediction of experimental tumor growth. PLoS Comput. Biol. 10(8), e1003800 (2014)CrossRef
4.
go back to reference Chabner, B.A., Longo, D.L.: Cancer Chemotherapy and Biotherapy: Principles and Practice. Lippincott Williams and Wilkins, Philadelphia (2011) Chabner, B.A., Longo, D.L.: Cancer Chemotherapy and Biotherapy: Principles and Practice. Lippincott Williams and Wilkins, Philadelphia (2011)
5.
go back to reference Csilléry, K., Blum, M.G., Gaggiotti, O.E., François, O.: Approximate Bayesian computation (ABC) in practice. Trends Ecol. Evol. 25(7), 410–418 (2010)CrossRef Csilléry, K., Blum, M.G., Gaggiotti, O.E., François, O.: Approximate Bayesian computation (ABC) in practice. Trends Ecol. Evol. 25(7), 410–418 (2010)CrossRef
6.
go back to reference Cristini, V., Lowengrub, J.: Multiscale Modeling of Cancer: An Integrated Experimental and Mathematical Modeling Approach, p. 278. Cambridge University Press, Cambridge (2010)CrossRef Cristini, V., Lowengrub, J.: Multiscale Modeling of Cancer: An Integrated Experimental and Mathematical Modeling Approach, p. 278. Cambridge University Press, Cambridge (2010)CrossRef
7.
go back to reference Dzwinel, W., Kłusek, A., Wcisło, R., Panuszewska, M., Topa, P.: Continuous and discrete models of melanoma progression simulated in multi-GPU environment. In: Wyrzykowski, R., Dongarra, J., Deelman, E., Karczewski, K. (eds.) PPAM 2017. LNCS, vol. 10777, pp. 505–518. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-78024-5_44CrossRef Dzwinel, W., Kłusek, A., Wcisło, R., Panuszewska, M., Topa, P.: Continuous and discrete models of melanoma progression simulated in multi-GPU environment. In: Wyrzykowski, R., Dongarra, J., Deelman, E., Karczewski, K. (eds.) PPAM 2017. LNCS, vol. 10777, pp. 505–518. Springer, Cham (2018). https://​doi.​org/​10.​1007/​978-3-319-78024-5_​44CrossRef
8.
go back to reference Dzwinel, W., Wcisło, R., Yuen, D.A., Miller, S.: PAM: particle automata in modeling of multi-scale biological systems. ACM Trans. Model. Comput. Simul. 26(3), 1–21 (2016). Article no. 20CrossRef Dzwinel, W., Wcisło, R., Yuen, D.A., Miller, S.: PAM: particle automata in modeling of multi-scale biological systems. ACM Trans. Model. Comput. Simul. 26(3), 1–21 (2016). Article no. 20CrossRef
9.
go back to reference Dzwinel, W., Yuen, D.A.: Rayleigh-Taylor instability in the mesoscale modeled by dissipative particle dynamics. Int. J. Mod. Phys. C 12(1), 91–118 (2001)CrossRef Dzwinel, W., Yuen, D.A.: Rayleigh-Taylor instability in the mesoscale modeled by dissipative particle dynamics. Int. J. Mod. Phys. C 12(1), 91–118 (2001)CrossRef
10.
go back to reference Gerlee, P., Anderson, A.R.A.: Diffusion-limited tumour growth: simulations and analysis. Math. Biosci. Eng. 7(2), 385–400 (2010)MathSciNetCrossRef Gerlee, P., Anderson, A.R.A.: Diffusion-limited tumour growth: simulations and analysis. Math. Biosci. Eng. 7(2), 385–400 (2010)MathSciNetCrossRef
11.
go back to reference Huang, D., et al.: Anti-angiogenesis or pro-angiogenesis for cancer treatment: focus on drug distribution. Int. J. Clin. Exp. Med. 8(6), 8369 (2015) Huang, D., et al.: Anti-angiogenesis or pro-angiogenesis for cancer treatment: focus on drug distribution. Int. J. Clin. Exp. Med. 8(6), 8369 (2015)
12.
go back to reference Iwasa, Y., Michor, F.: Evolutionary dynamics of intratumor heterogeneity. PLoS ONE 6(3), e17866 (2011)CrossRef Iwasa, Y., Michor, F.: Evolutionary dynamics of intratumor heterogeneity. PLoS ONE 6(3), e17866 (2011)CrossRef
13.
go back to reference Jagiella, N., Rickert, D., Theis, F.J., Hasenauer, J.: Parallelization and high-performance computing enables automated statistical inference of multi-scale models. Cell Syst. 4(2), 194–206 (2017)CrossRef Jagiella, N., Rickert, D., Theis, F.J., Hasenauer, J.: Parallelization and high-performance computing enables automated statistical inference of multi-scale models. Cell Syst. 4(2), 194–206 (2017)CrossRef
14.
go back to reference Kaina, B.: DNA damage-triggered apoptosis: critical role of DNA repair, double-strand breaks, cell proliferation and signaling. Biochem. Pharmacol. 66(8), 1547–1554 (2003)CrossRef Kaina, B.: DNA damage-triggered apoptosis: critical role of DNA repair, double-strand breaks, cell proliferation and signaling. Biochem. Pharmacol. 66(8), 1547–1554 (2003)CrossRef
15.
go back to reference Kim, M., Gillies, R.J., Rejniak, K.A.: Current advances in mathematical modeling of anti-cancer drug penetration into tumor tissues. Front. Oncol. 3, 278 (2013) Kim, M., Gillies, R.J., Rejniak, K.A.: Current advances in mathematical modeling of anti-cancer drug penetration into tumor tissues. Front. Oncol. 3, 278 (2013)
16.
go back to reference Louzoun, Y., Xue, C., Lesinski, G.B., Friedman, A.: A mathematical model for pancreatic cancer growth and treatments. J. Theor. Biol. 351, 74–82 (2014)MathSciNetCrossRef Louzoun, Y., Xue, C., Lesinski, G.B., Friedman, A.: A mathematical model for pancreatic cancer growth and treatments. J. Theor. Biol. 351, 74–82 (2014)MathSciNetCrossRef
17.
go back to reference Łazarz, R.: Graph-based framework for 3-D vascular dynamics simulation. Procedia Comput. Sci. 101, 415–423 (2016)CrossRef Łazarz, R.: Graph-based framework for 3-D vascular dynamics simulation. Procedia Comput. Sci. 101, 415–423 (2016)CrossRef
18.
go back to reference Masunaga, S.I., Ono, K., Hori, H., Suzuki, M., Kinashi, Y., Takagaki, M.: Potentially lethal damage repair by total and quiescent tumor cells following various DNA-damaging treatments. Radiat. Med. 17(4), 259–264 (1999) Masunaga, S.I., Ono, K., Hori, H., Suzuki, M., Kinashi, Y., Takagaki, M.: Potentially lethal damage repair by total and quiescent tumor cells following various DNA-damaging treatments. Radiat. Med. 17(4), 259–264 (1999)
19.
go back to reference Ribba, B., Holford, N.H., Magni, P.: A review of mixed-effects models of tumor growth and effects of anticancer drug treatment used in population analysis. CPT Pharmacomet. Syst. Pharmacol. 3, e113 (2014)CrossRef Ribba, B., Holford, N.H., Magni, P.: A review of mixed-effects models of tumor growth and effects of anticancer drug treatment used in population analysis. CPT Pharmacomet. Syst. Pharmacol. 3, e113 (2014)CrossRef
20.
go back to reference Ribba, B., Holford, N.H., Magni, P., Trocóniz, I., Gueorguieva, I., Girard, P.: A review of mixed-effects models of tumor growth and effects of anticancer drug treatment used in population analysis. CPT: Pharmacomet. Syst. Pharmacol. 3(5), 1–10 (2014) Ribba, B., Holford, N.H., Magni, P., Trocóniz, I., Gueorguieva, I., Girard, P.: A review of mixed-effects models of tumor growth and effects of anticancer drug treatment used in population analysis. CPT: Pharmacomet. Syst. Pharmacol. 3(5), 1–10 (2014)
21.
go back to reference Ribba, B., et al.: A tumor growth inhibition model for low-grade glioma treated with chemotherapy or radiotherapy. Clin. Cancer Res. 18(18), 5071–5080 (2012)CrossRef Ribba, B., et al.: A tumor growth inhibition model for low-grade glioma treated with chemotherapy or radiotherapy. Clin. Cancer Res. 18(18), 5071–5080 (2012)CrossRef
22.
go back to reference Rieger, H., Fredrich, T., Welter, M.: Eur. Phys. J. 131, 31 (2016) Rieger, H., Fredrich, T., Welter, M.: Eur. Phys. J. 131, 31 (2016)
23.
go back to reference Wcisło, R., Dzwinel, W., Yuen, D.A., Dudek, A.Z.: A 3-D model of tumor progression based on complex automata driven by particle dynamics. J. Mol. Model. 15(12), 1517 (2009)CrossRef Wcisło, R., Dzwinel, W., Yuen, D.A., Dudek, A.Z.: A 3-D model of tumor progression based on complex automata driven by particle dynamics. J. Mol. Model. 15(12), 1517 (2009)CrossRef
24.
go back to reference Wodarz, D., Komarova, N.L.: Dynamics of Cancer: Mathematical Foundations of Oncology, p. 532. World Scientific, Singapore (2014)CrossRef Wodarz, D., Komarova, N.L.: Dynamics of Cancer: Mathematical Foundations of Oncology, p. 532. World Scientific, Singapore (2014)CrossRef
25.
go back to reference Xie, H., Jiao, Y., Fan, Q., Hai, M., Yang, J., Hu, Z., et al.: Modeling Three-dimensional Invasive Solid Tumor Growth in Heterogeneous Microenvironment under Chemotherapy (2018). arXiv preprint arXiv:1803.02953 Xie, H., Jiao, Y., Fan, Q., Hai, M., Yang, J., Hu, Z., et al.: Modeling Three-dimensional Invasive Solid Tumor Growth in Heterogeneous Microenvironment under Chemotherapy (2018). arXiv preprint arXiv:​1803.​02953
Metadata
Title
PAM: Discrete 3-D Model of Tumor Dynamics in the Presence of Anti-tumor Treatment
Authors
Marta Panuszewska
Bartosz Minch
Rafał Wcisło
Witold Dzwinel
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-99813-8_4

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