Viswanath, Narayanan; K. S., Shiny Study of birth-death processes with immigration. (English) Zbl 1500.92098 Croat. Oper. Res. Rev. (CRORR) 13, No. 1, 49-63 (2022). MSC: 92D25 60J85 92C32 PDFBibTeX XMLCite \textit{N. Viswanath} and \textit{S. K. S.}, Croat. Oper. Res. Rev. (CRORR) 13, No. 1, 49--63 (2022; Zbl 1500.92098) Full Text: DOI
El-Hadidy, Mohamed Abd Allah Stochastically escaping model in a tumour cell growth system driven by a Poisson process. (English) Zbl 1482.92035 Int. J. Math. Oper. Res. 19, No. 4, 490-499 (2021). MSC: 92C40 92C50 60K30 PDFBibTeX XMLCite \textit{M. A. A. El-Hadidy}, Int. J. Math. Oper. Res. 19, No. 4, 490--499 (2021; Zbl 1482.92035) Full Text: DOI
Yang, Jin; Tan, Yuanshun; Cheke, Robert A. Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model. (English) Zbl 1448.92107 Chaos Solitons Fractals 123, 1-13 (2019). MSC: 92C50 60H10 34A37 34F05 PDFBibTeX XMLCite \textit{J. Yang} et al., Chaos Solitons Fractals 123, 1--13 (2019; Zbl 1448.92107) Full Text: DOI Link
Stocks, Theresa; Hillen, Thomas; Gong, Jiafen; Burger, Martin A stochastic model for the normal tissue complication probability (NTCP) and applicationss. (English) Zbl 1400.92289 Math. Med. Biol. 34, No. 4, 469-492 (2017). MSC: 92C50 60J85 PDFBibTeX XMLCite \textit{T. Stocks} et al., Math. Med. Biol. 34, No. 4, 469--492 (2017; Zbl 1400.92289) Full Text: DOI Link
de la Cruz, Roberto; Guerrero, Pilar; Calvo, Juan; Alarcón, Tomás Coarse-graining and hybrid methods for efficient simulation of stochastic multi-scale models of tumour growth. (English) Zbl 1380.92035 J. Comput. Phys. 350, 974-991 (2017). MSC: 92C50 60J80 35Q92 PDFBibTeX XMLCite \textit{R. de la Cruz} et al., J. Comput. Phys. 350, 974--991 (2017; Zbl 1380.92035) Full Text: DOI
Giet, Jean-Sébastien; Vallois, Pierre; Wantz-Mézières, Sophie The logistic S. D. E. (English) Zbl 1363.60074 Theory Stoch. Process. 20, No. 1, 28-62 (2015). MSC: 60H10 60J60 60G40 60J27 92C50 PDFBibTeX XMLCite \textit{J.-S. Giet} et al., Theory Stoch. Process. 20, No. 1, 28--62 (2015; Zbl 1363.60074) Full Text: MNR
Moummou, El Kettani; Gutiérrez-Sanchez, R.; Melchor, M. C.; Ramos-Ábalos, E. A stochastic Gompertz model highlighting internal and external therapy function for tumour growth. (English) Zbl 1338.92050 Appl. Math. Comput. 246, 1-11 (2014). MSC: 92C50 60J70 92C37 PDFBibTeX XMLCite \textit{E. K. Moummou} et al., Appl. Math. Comput. 246, 1--11 (2014; Zbl 1338.92050) Full Text: DOI
Moghaddasi, Fatemeh Leyla; Bezak, Eva; Marcu, Loredana In silico modelling of tumour margin diffusion and infiltration: review of current status. (English) Zbl 1401.92109 Comput. Math. Methods Med. 2012, Article ID 672895, 16 p. (2012). MSC: 92C50 60J20 PDFBibTeX XMLCite \textit{F. L. Moghaddasi} et al., Comput. Math. Methods Med. 2012, Article ID 672895, 16 p. (2012; Zbl 1401.92109) Full Text: DOI
Alarcón, Tomás; Jensen, Henrik Jeldtoft Invasion in multi-type populations: the role of phenotypic robustness and fluctuations. (English) Zbl 1234.92024 Math. Med. Biol. 29, No. 1, 3-20 (2012). MSC: 92C50 60J85 92D15 94A17 PDFBibTeX XMLCite \textit{T. Alarcón} and \textit{H. J. Jensen}, Math. Med. Biol. 29, No. 1, 3--20 (2012; Zbl 1234.92024) Full Text: DOI Link
Caravagna, Giulio; d’Onofrio, Alberto; Milazzo, Paolo; Barbuti, Roberto Tumour suppression by immune system through stochastic oscillations. (English) Zbl 1460.92047 J. Theor. Biol. 265, No. 3, 336-345 (2010). MSC: 92C32 60G99 92C50 PDFBibTeX XMLCite \textit{G. Caravagna} et al., J. Theor. Biol. 265, No. 3, 336--345 (2010; Zbl 1460.92047) Full Text: DOI
Maler, Adrian; Lutscher, Frithjof Cell-cycle times and the tumour control probability. (English) Zbl 1211.92031 Math. Med. Biol. 27, No. 4, 313-342 (2010). MSC: 92C50 92C37 60J85 93A30 PDFBibTeX XMLCite \textit{A. Maler} and \textit{F. Lutscher}, Math. Med. Biol. 27, No. 4, 313--342 (2010; Zbl 1211.92031) Full Text: DOI Link
Capasso, Vincenzo; Morale, Daniela On the stochastic modelling of interacting populations. A multiscale approach leading to hybrid models. (English) Zbl 1182.92011 Fitzgibbon, William (ed.) et al., Applied and numerical partial differential equations. Scientific computing in simulation, optimization and control in a multidisciplinary context. Dordrecht: Springer (ISBN 978-90-481-3238-6/hbk; 978-90-481-3239-3/ebook). Computational Methods in Applied Sciences 15, 59-80 (2010). MSC: 92C15 35Q92 60H10 92D40 35K57 60H15 PDFBibTeX XMLCite \textit{V. Capasso} and \textit{D. Morale}, Comput. Methods Appl. Sci. 15, 59--80 (2010; Zbl 1182.92011) Full Text: DOI
Ang, Keng-Cheng; Tan, Liang-Soon A numerical approach to modelling avascular tumour evolution with white noise. (English) Zbl 1359.92045 ANZIAM J. 50C(2008-2009), Proc. 2008, C569-C582 (2008). MSC: 92C50 60H40 PDFBibTeX XMLCite \textit{K.-C. Ang} and \textit{L.-S. Tan}, ANZIAM J. 50C, C569--C582 (2008; Zbl 1359.92045) Full Text: DOI
Jónsdóttir, Kristjana Ýr; Schmiegel, Jürgen; Jensen, Eva B. Vedel Lévy-based growth models. (English) Zbl 1158.60349 Bernoulli 14, No. 1, 62-90 (2008). MSC: 60G57 60D05 60G51 92C15 62H11 PDFBibTeX XMLCite \textit{K. Ý. Jónsdóttir} et al., Bernoulli 14, No. 1, 62--90 (2008; Zbl 1158.60349) Full Text: DOI arXiv
Brú, A.; Casero, D.; de Franciscis, S.; Herrero, M. A. Fractal analysis and tumour growth. (English) Zbl 1149.92016 Math. Comput. Modelling 47, No. 5-6, 546-559 (2008). MSC: 92C50 60H30 PDFBibTeX XMLCite \textit{A. Brú} et al., Math. Comput. Modelling 47, No. 5--6, 546--559 (2008; Zbl 1149.92016) Full Text: DOI
Lo, C. F. Stochastic Gompertz model of tumour cell growth. (English) Zbl 1451.92099 J. Theor. Biol. 248, No. 2, 317-321 (2007). MSC: 92C32 92C37 60J70 35Q84 PDFBibTeX XMLCite \textit{C. F. Lo}, J. Theor. Biol. 248, No. 2, 317--321 (2007; Zbl 1451.92099) Full Text: DOI
Brú, Antonio; Casero, D. The effect of pressure on the growth of tumour cell colonies. (English) Zbl 1447.92084 J. Theor. Biol. 243, No. 2, 171-180 (2006). MSC: 92C32 28A80 35Q92 60H15 PDFBibTeX XMLCite \textit{A. Brú} and \textit{D. Casero}, J. Theor. Biol. 243, No. 2, 171--180 (2006; Zbl 1447.92084) Full Text: DOI
Plank, M. J.; Sleeman, B. D. A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. (English) Zbl 1044.92036 Math. Med. Biol. 20, No. 2, 135-181 (2003). MSC: 92C50 60G50 35Q92 PDFBibTeX XMLCite \textit{M. J. Plank} and \textit{B. D. Sleeman}, Math. Med. Biol. 20, No. 2, 135--181 (2003; Zbl 1044.92036) Full Text: DOI
Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit Mathematical modelling of tumour angiogenesis and the action of angiostatin as a protease inhibitor. (English) Zbl 1052.92030 J. Theor. Med. 4, No. 2, 133-145 (2002). MSC: 92C50 92C45 60G50 35Q92 65C20 60G35 PDFBibTeX XMLCite \textit{H. A. Levine} et al., J. Theor. Med. 4, No. 2, 133--145 (2002; Zbl 1052.92030) Full Text: DOI EuDML
Sleeman, B. D.; Wallis, I. P. Tumour induced angiogenesis as a reinforced random walk: Modelling capillary network formation without endothelial cell proliferation. (English) Zbl 1021.92016 Math. Comput. Modelling 36, No. 3, 339-358 (2002). MSC: 92C50 60J70 92C17 PDFBibTeX XMLCite \textit{B. D. Sleeman} and \textit{I. P. Wallis}, Math. Comput. Modelling 36, No. 3, 339--358 (2002; Zbl 1021.92016) Full Text: DOI
Martinez, F.; Villena, A. R. Differential equations related to the Williams-Bjerknes tumour model. (English) Zbl 0997.92023 Proc. Indian Acad. Sci., Math. Sci. 110, No. 3, 323-334 (2000). MSC: 92C50 34C60 60G35 PDFBibTeX XMLCite \textit{F. Martinez} and \textit{A. R. Villena}, Proc. Indian Acad. Sci., Math. Sci. 110, No. 3, 323--334 (2000; Zbl 0997.92023) Full Text: DOI
Hobolth, Asger; Vedel Jensen, Eva B. Modelling stochastic changes in curve shape, with an application to cancer diagnostics. (English) Zbl 0956.92024 Adv. Appl. Probab. 32, No. 2, 344-362 (2000). Reviewer: V.Schmidt (Ulm) MSC: 92C50 60D05 92C37 PDFBibTeX XMLCite \textit{A. Hobolth} and \textit{E. B. Vedel Jensen}, Adv. Appl. Probab. 32, No. 2, 344--362 (2000; Zbl 0956.92024) Full Text: DOI
Alvarez, Alberto Guillermo; Marchi, Ezio Cell proliferation, tumor growth and tumour treatment. (English) Zbl 0534.60077 Rev. Roum. Math. Pures Appl. 29, 3-17 (1984). Reviewer: A.Barbour MSC: 60J85 92C50 92D25 PDFBibTeX XMLCite \textit{A. G. Alvarez} and \textit{E. Marchi}, Rev. Roum. Math. Pures Appl. 29, 3--17 (1984; Zbl 0534.60077)
Bramson, Maury; Griffeath, David On the Williams-Bjerknes tumour growth model. I. (English) Zbl 0459.92012 Ann. Probab. 9, 173-185 (1981). MSC: 92D25 60K35 60J25 PDFBibTeX XMLCite \textit{M. Bramson} and \textit{D. Griffeath}, Ann. Probab. 9, 173--185 (1981; Zbl 0459.92012) Full Text: DOI
Schürger, Klaus A class of branching processes on a lattice with interactions. (English) Zbl 0451.60098 Adv. Appl. Probab. 13, 14-39 (1981). MSC: 60K35 60J80 60J85 PDFBibTeX XMLCite \textit{K. Schürger}, Adv. Appl. Probab. 13, 14--39 (1981; Zbl 0451.60098) Full Text: DOI
Bramson, Maury; Griffeath, David On the Williams-Bjerknes tumour growth model. II. (English) Zbl 0459.92013 Math. Proc. Camb. Philos. Soc. 88, 339-357 (1980). MSC: 92D25 60K35 60J25 PDFBibTeX XMLCite \textit{M. Bramson} and \textit{D. Griffeath}, Math. Proc. Camb. Philos. Soc. 88, 339--357 (1980; Zbl 0459.92013) Full Text: DOI