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Mathematical Biosciences and Engineering (MBE)
 

Adjoint sensitivity analysis of a tumor growth model and its application to spatiotemporal radiotherapy optimization
Pages: 1131 - 1142, Issue 6, December 2016

doi:10.3934/mbe.2016034      Abstract        References        Full text (423.1K)           Related Articles

Krzysztof Fujarewicz - Silesian University of Technology, Institute of Automatic Control, Akademicka 16, 44-100 Gliwice, Poland (email)
Krzysztof Łakomiec - Silesian University of Technology, ul.Akademicka 16, 44-100, Gliwice, Poland (email)

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2 K. Fujarewicz and A. Galuszka, Generalized backpropagation through time for continuous time neural networks and discrete time measurements Artificial Intelligence and Soft Computing - ICAISC 2004 (eds. L. Rutkowski, J. Siekmann, R. Tadeusiewicz and L. A. Zadeh), Lecture Notes in Computer Science, 3070 (2004), 190-196.
3 K. Fujarewicz, M. Kimmel and A. Swierniak, On fitting of mathematical models of cell signaling pathways using adjoint systems, Math. Biosci. Eng., 2 (2005), 527-534.       
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5 K. Fujarewicz and K. Łakomiec, Parameter estimation of systems with delays via structural sensitivity analysis, Discrete and Continuous Dynamical Systems-series B, 19 (2014), 2521-2533.       
6 P. Hoskin, A. Kirkwood, B. Popova, P. Smith, M. Robinson, E. Gallop-Evans, S. Coltart, T. Illidge, K. Madhavan, C. Brammer, P. Diez, A1. Jack and I. Syndikus, 4 Gy versus 24 Gy radiotherapy for patients with indolent lymphoma (FORT): a randomised phase 3 non-inferiority trial, Lancet Oncology, 15 (2014), 457-463.
7 M. Jakubczak and K. Fujarewicz, Application of adjoint sensitivity analysis to parameter estimation of age-structured model of cell cycle, in Information Technologies in Medicine,
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9 K. Łakomiec, S. Kumala, R. Hancock, J. Rzeszowska-Wolny and K. Fujarewicz, Modeling the repair of DNA strand breaks caused by $\gamma$-radiation in a minichromosome, Physical Biology, 11 (2014), 045003.
10 R. Rockne, E. C. Alvord Jr., J. K. Rockhill and K. R. Swanson, A mathematical model for brain tumor response to radiation therapy, J. Math. Biol., 58 (2009), 561-578.       
11 R. Rockne, J. K. Rockhill, M. Mrugala, A. M. Spence, I. Kalet, K. Hendrickson, A. Lai, T. Cloughesy, E. C. Alvord Jr and K. R. Swanson, Predicting the efficacy of radiotherapy in individual glioblastoma patients in vivo: A mathematical modeling approach, Phys. Med. Biol., 55 (2010), 3271-3285.
12 R. C. Rockne, A. D. Trister, J. Jacobs, A. J. Hawkins-Daarud, M. L. Neal, K. Hendrickson, M. M. Mrugala, J. K. Rockhill, P. Kinahan, K. A. Krohn and K. R. Swanson, Addendum to "A patient-specific computational model of hypoxia-modulated radiation resistance in glioblastoma using $^18 F-FMISO-PET$", Journal of the Royal Society Interface, 12 (2015), 20150927.
13 R. Rockne, J. K. Rockhill, M. Mrugala, A. M. Spence, I. Kalet, K. Hendrickson, A. Lai, T. Cloughesy, E. C. Alvord and K. R. Swanson, Reply to comment on: "Predicting the efficacy of radiotherapy in individual glioblastoma patients in vivo: A mathematical modeling approach", Physics in medicine and biology, 61 (2016), 2968-2969.
14 A. Swierniak, M. Kimmel, J. Smieja, K. Puszynski and K. Psiuk-Maksymowicz, System Engineering Approach to Planning Anticancer Therapies, Springer, 2016.

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