Skip to main content
Top
Published in: BMC Cancer 1/2018

Open Access 01-12-2018 | Research article

Modeling treatment-dependent glioma growth including a dormant tumor cell subpopulation

Authors: Marvin A. Böttcher, Janka Held-Feindt, Michael Synowitz, Ralph Lucius, Arne Traulsen, Kirsten Hattermann

Published in: BMC Cancer | Issue 1/2018

Login to get access

Abstract

Background

Tumors comprise a variety of specialized cell phenotypes adapted to different ecological niches that massively influence the tumor growth and its response to treatment.

Methods

In the background of glioblastoma multiforme, a highly malignant brain tumor, we consider a rapid proliferating phenotype that appears susceptible to treatment, and a dormant phenotype which lacks this pronounced proliferative ability and is not affected by standard therapeutic strategies. To gain insight in the dynamically changing proportions of different tumor cell phenotypes under different treatment conditions, we develop a mathematical model and underline our assumptions with experimental data.

Results

We show that both cell phenotypes contribute to the distinct composition of the tumor, especially in cycling low and high dose treatment, and therefore may influence the tumor growth in a phenotype specific way.

Conclusion

Our model of the dynamic proportions of dormant and rapidly growing glioblastoma cells in different therapy settings suggests that phenotypically different cells should be considered to plan dose and duration of treatment schedules.
Literature
1.
2.
go back to reference Stupp R, Mason WP, van den Bent MJ, Weller M, Fisher B, Taphoorn MJ, Belanger K, Brandes AA, Marosi C, Bogdahn U, Curschmann J, Janzer RC, Ludwin SK, Allgeier A, Lacombe D, Cairncross JG, Eisenhauer E, Mirimanoff RO. Radiotherapy plus concomitant and adjuvant temozolomide for glioblastomas. N Engl J Med. 2005;35:987–96.CrossRef Stupp R, Mason WP, van den Bent MJ, Weller M, Fisher B, Taphoorn MJ, Belanger K, Brandes AA, Marosi C, Bogdahn U, Curschmann J, Janzer RC, Ludwin SK, Allgeier A, Lacombe D, Cairncross JG, Eisenhauer E, Mirimanoff RO. Radiotherapy plus concomitant and adjuvant temozolomide for glioblastomas. N Engl J Med. 2005;35:987–96.CrossRef
3.
go back to reference Niewald M, Berdel C, Fleckenstein J, Licht N, Ketter R, Ruebe C. Toxicity after radiochemotherapy for glioblastoma using temozolomide - a retrospective evaluation. Rad Oncol. 2011;6:141.CrossRef Niewald M, Berdel C, Fleckenstein J, Licht N, Ketter R, Ruebe C. Toxicity after radiochemotherapy for glioblastoma using temozolomide - a retrospective evaluation. Rad Oncol. 2011;6:141.CrossRef
6.
go back to reference Wikman H, Vessella R, Pantel K. Cancer micrometastasis and tumour dormancy. APMIS. 2008;116:754–70.CrossRefPubMed Wikman H, Vessella R, Pantel K. Cancer micrometastasis and tumour dormancy. APMIS. 2008;116:754–70.CrossRefPubMed
7.
go back to reference Bragado P, Sosa MS, Keely P, Condeelis J, Aguirre-Ghiso JA. Microenvironments dictating tumor cell dormancy. Recent Results Cancer Res. 2012;195:25–39.CrossRefPubMedPubMedCentral Bragado P, Sosa MS, Keely P, Condeelis J, Aguirre-Ghiso JA. Microenvironments dictating tumor cell dormancy. Recent Results Cancer Res. 2012;195:25–39.CrossRefPubMedPubMedCentral
9.
go back to reference Zhang XH, Giuliano M, Trivedi MV, Schiff R, Osborne CK. Metastasis dormancy in estrogen receptor-positive breast cancer. Clin Cancer Res. 2013;19:6389–97.CrossRefPubMed Zhang XH, Giuliano M, Trivedi MV, Schiff R, Osborne CK. Metastasis dormancy in estrogen receptor-positive breast cancer. Clin Cancer Res. 2013;19:6389–97.CrossRefPubMed
10.
go back to reference Sosnoski DM, Norgard RJ, Grove CD, Foster SJ, Mastro AM. Dormancy and growth of metastatic breast cancer cells in a bone-like microenvironment. Clin Exp Metastasis. 2015;32:335–44.CrossRefPubMed Sosnoski DM, Norgard RJ, Grove CD, Foster SJ, Mastro AM. Dormancy and growth of metastatic breast cancer cells in a bone-like microenvironment. Clin Exp Metastasis. 2015;32:335–44.CrossRefPubMed
11.
12.
go back to reference Sertil AR. Hypoxia regulation in cellular dormancy. In: Hayat MA, editor. Tumor dormancy, quiescence and senescence, Vol. 3. Dordrecht: Springer Netherlands; 2014. p. 13–24. Sertil AR. Hypoxia regulation in cellular dormancy. In: Hayat MA, editor. Tumor dormancy, quiescence and senescence, Vol. 3. Dordrecht: Springer Netherlands; 2014. p. 13–24.
13.
go back to reference Hirose Y, Berger MS, Pieper RO. p53 effects both the duration of G2/M arrest and the fate of temozolomide-treated human glioblastoma cells. Cancer Res. 2001;61:1957–63.PubMed Hirose Y, Berger MS, Pieper RO. p53 effects both the duration of G2/M arrest and the fate of temozolomide-treated human glioblastoma cells. Cancer Res. 2001;61:1957–63.PubMed
14.
go back to reference Altrock PM, Lin LL, Michor F. The mathematics of cancer: integrating quantitative models. Nat Rev Cancer. 2015;15:730–45.CrossRefPubMed Altrock PM, Lin LL, Michor F. The mathematics of cancer: integrating quantitative models. Nat Rev Cancer. 2015;15:730–45.CrossRefPubMed
15.
go back to reference Nowak MA. Evolutionary dynamics. Cambridge: Harvard University Press; 2006. Nowak MA. Evolutionary dynamics. Cambridge: Harvard University Press; 2006.
16.
go back to reference Hofbauer J, Sigmund K. Evolutionary games and population dynamics. Cambridge: Cambridge University Press; 1998.CrossRef Hofbauer J, Sigmund K. Evolutionary games and population dynamics. Cambridge: Cambridge University Press; 1998.CrossRef
17.
18.
go back to reference Basanta D, Deutsch A. A game theoretical perspective on the somatic evolution of Cancer. In: Bellomo N, Angelis E, editors. Selected topics in Cancer modeling. Basel: Springer/ Birkhäuser; 2008. p. 97–112. Basanta D, Deutsch A. A game theoretical perspective on the somatic evolution of Cancer. In: Bellomo N, Angelis E, editors. Selected topics in Cancer modeling. Basel: Springer/ Birkhäuser; 2008. p. 97–112.
19.
go back to reference Dingli D, Chalub FACC, Santos FC, Van Segbroeck S, Pacheco JM. Cancer phenotype as the outcome of an evolutionary game between normal and malignant cells. Brit J Cancer. 2009;101:1130–6.CrossRefPubMedPubMedCentral Dingli D, Chalub FACC, Santos FC, Van Segbroeck S, Pacheco JM. Cancer phenotype as the outcome of an evolutionary game between normal and malignant cells. Brit J Cancer. 2009;101:1130–6.CrossRefPubMedPubMedCentral
20.
21.
go back to reference Orlando PA, Gatenby RA, Brown JS. Cancer treatment as a game: integrating evolutionary game theory into the optimal control of chemotherapy. Physical Biol. 2012;9:065007.CrossRef Orlando PA, Gatenby RA, Brown JS. Cancer treatment as a game: integrating evolutionary game theory into the optimal control of chemotherapy. Physical Biol. 2012;9:065007.CrossRef
22.
go back to reference Bomze I, Bürger R. Stability by mutation in evolutionary games. Games Econ Behav. 1995;11:146–72.CrossRef Bomze I, Bürger R. Stability by mutation in evolutionary games. Games Econ Behav. 1995;11:146–72.CrossRef
24.
go back to reference Almog N, Ma L, Raychowdhury R, Schwager C, Erber R, Short S, Hlatky L, Vajkoczy P, Huber PE, Folkman J, Abdollahi A. Transcriptional switch of dormant tumors to fast-growing angiogenic phenotype. Cancer Res. 2009;69:836–44.CrossRefPubMed Almog N, Ma L, Raychowdhury R, Schwager C, Erber R, Short S, Hlatky L, Vajkoczy P, Huber PE, Folkman J, Abdollahi A. Transcriptional switch of dormant tumors to fast-growing angiogenic phenotype. Cancer Res. 2009;69:836–44.CrossRefPubMed
25.
go back to reference Adamski V, Hempelmann A, Flüh C, Lucius R, Synowitz M, Hattermann K, Held-Feindt J. Dormant human glioblastoma cells acquire stem cell characteristics and are differentially affected by Temozolomide and AT101 treatment strategies. Onctarget. 2017;8(64):108064–78. Adamski V, Hempelmann A, Flüh C, Lucius R, Synowitz M, Hattermann K, Held-Feindt J. Dormant human glioblastoma cells acquire stem cell characteristics and are differentially affected by Temozolomide and AT101 treatment strategies. Onctarget. 2017;8(64):108064–78.
26.
go back to reference Strogatz S. Nonlinear dynamics and Chaos: with applications to physics, biology, chemistry, and engineering (studies in nonlinearity). New York: Westview Press; 2000. Strogatz S. Nonlinear dynamics and Chaos: with applications to physics, biology, chemistry, and engineering (studies in nonlinearity). New York: Westview Press; 2000.
27.
go back to reference Endaya BB, Lam PY, Meedeniya AC, Neuzil J. Transcriptional profiling of dividing tumor cells detects intratumor heterogeneity linked to cell proliferation in a brain tumor model. Mol Oncol. 2016;10:126–37.CrossRefPubMed Endaya BB, Lam PY, Meedeniya AC, Neuzil J. Transcriptional profiling of dividing tumor cells detects intratumor heterogeneity linked to cell proliferation in a brain tumor model. Mol Oncol. 2016;10:126–37.CrossRefPubMed
28.
go back to reference Satchi-Fainaro R, Ferber S, Segal E, Ma L, Dixit N, Ijaz A, Hlatky L, Abdollahi A, Almog N. Prospective identification of glioblastoma cells generating dormant tumors. PLoS One. 2012;7:e44395.CrossRefPubMedPubMedCentral Satchi-Fainaro R, Ferber S, Segal E, Ma L, Dixit N, Ijaz A, Hlatky L, Abdollahi A, Almog N. Prospective identification of glioblastoma cells generating dormant tumors. PLoS One. 2012;7:e44395.CrossRefPubMedPubMedCentral
29.
go back to reference Naumov GN, Bender E, Zurakowski D, Kang SY, Sampson D, Flynn E, Watnick RS, Straume O, Akslen LA, Folkman J, Almog N. A model of human tumor dormancy: an angiogenic switch from the nonangiogenic phenotype. J Natl Cancer Inst. 2006;98:316–25.CrossRefPubMed Naumov GN, Bender E, Zurakowski D, Kang SY, Sampson D, Flynn E, Watnick RS, Straume O, Akslen LA, Folkman J, Almog N. A model of human tumor dormancy: an angiogenic switch from the nonangiogenic phenotype. J Natl Cancer Inst. 2006;98:316–25.CrossRefPubMed
30.
go back to reference Hofstetter CP, Burkhardt JK, Shin BJ, Gürsel DB, Mubita L, Gorrepati R, Brennan C, Holland EC, Boockvar JA. Protein phosphatase 2A mediates dormancy of glioblastoma multiforme-derived tumor stem-like cells during hypoxia. PLoS One. 2012;7:e30059.CrossRefPubMedPubMedCentral Hofstetter CP, Burkhardt JK, Shin BJ, Gürsel DB, Mubita L, Gorrepati R, Brennan C, Holland EC, Boockvar JA. Protein phosphatase 2A mediates dormancy of glioblastoma multiforme-derived tumor stem-like cells during hypoxia. PLoS One. 2012;7:e30059.CrossRefPubMedPubMedCentral
31.
go back to reference Magnus N, Gerges N, Jabado N, Rak J. Coagulation-related gene expression profile in glioblastoma is defined by molecular disease subtype. J Thromb Haemost. 2013;11:1197–200.CrossRefPubMed Magnus N, Gerges N, Jabado N, Rak J. Coagulation-related gene expression profile in glioblastoma is defined by molecular disease subtype. J Thromb Haemost. 2013;11:1197–200.CrossRefPubMed
32.
go back to reference Magnus N, Garnier D, Meehan B, McGraw S, Lee TH, Caron M, Bourque G, Milsom C, Jabado N, Trasler J, Pawlinski R, Mackman N, Rak J. Tissue factor expression provokes escape from tumor dormancy and leads to genomic alterations. Proc Natl Acad Sci U S A. 2014;111:3544–9.CrossRefPubMedPubMedCentral Magnus N, Garnier D, Meehan B, McGraw S, Lee TH, Caron M, Bourque G, Milsom C, Jabado N, Trasler J, Pawlinski R, Mackman N, Rak J. Tissue factor expression provokes escape from tumor dormancy and leads to genomic alterations. Proc Natl Acad Sci U S A. 2014;111:3544–9.CrossRefPubMedPubMedCentral
33.
go back to reference Magnus N, D'Asti E, Meehan B, Garnier D, Rak J. Oncogenes and the coagulation system--forces that modulate dormant and aggressive states in cancer. Thromb Res. 2014;133(Suppl 2):S1–9.CrossRefPubMed Magnus N, D'Asti E, Meehan B, Garnier D, Rak J. Oncogenes and the coagulation system--forces that modulate dormant and aggressive states in cancer. Thromb Res. 2014;133(Suppl 2):S1–9.CrossRefPubMed
35.
go back to reference Basanta D, Simon M, Hatzikirou H, Deutsch A. Evolutionary game theory elucidates the role of glycolysis in glioma progression and invasion. Cell Prolif. 2008;41:980–7.CrossRefPubMed Basanta D, Simon M, Hatzikirou H, Deutsch A. Evolutionary game theory elucidates the role of glycolysis in glioma progression and invasion. Cell Prolif. 2008;41:980–7.CrossRefPubMed
36.
go back to reference Basanta D, Scott JG, Fishman MN, Ayala G, Hayward SW, Anderson ARA. Investigating prostate cancer tumour–stroma interactions: clinical and biological insights from an evolutionary game. Brit J Cancer. 2012;106:174–81.CrossRefPubMed Basanta D, Scott JG, Fishman MN, Ayala G, Hayward SW, Anderson ARA. Investigating prostate cancer tumour–stroma interactions: clinical and biological insights from an evolutionary game. Brit J Cancer. 2012;106:174–81.CrossRefPubMed
38.
go back to reference Kaznatcheev A, Vander Velde R, Scott JG, Basanta D. Cancer treatment scheduling and dynamic heterogeneity in social dilemmas of tumour acidity and vasculature. Brit J Cancer. 2017;9:1–24. Kaznatcheev A, Vander Velde R, Scott JG, Basanta D. Cancer treatment scheduling and dynamic heterogeneity in social dilemmas of tumour acidity and vasculature. Brit J Cancer. 2017;9:1–24.
39.
go back to reference Gerlee P, Anderson ARA. An evolutionary hybrid cellular automaton model of solid tumour growth. J Theoretical Biol. 2007;246:583–603.CrossRef Gerlee P, Anderson ARA. An evolutionary hybrid cellular automaton model of solid tumour growth. J Theoretical Biol. 2007;246:583–603.CrossRef
40.
go back to reference Anderson ARA, Hassanein M, Branch KM, Lu J, Lobdell NA, Maier J, Basanta D, Weidow B, Narasanna A, Arteaga CL, Reynolds AB, Quaranta V, Estrada L, Weaver AM. Microenvironmental independence associated with tumor progression. Cancer Res. 2009;69:8797–806.CrossRefPubMedPubMedCentral Anderson ARA, Hassanein M, Branch KM, Lu J, Lobdell NA, Maier J, Basanta D, Weidow B, Narasanna A, Arteaga CL, Reynolds AB, Quaranta V, Estrada L, Weaver AM. Microenvironmental independence associated with tumor progression. Cancer Res. 2009;69:8797–806.CrossRefPubMedPubMedCentral
41.
42.
go back to reference Hindersin L, Traulsen A. Most undirected random graphs are amplifiers of selection for birth-death dynamics, but suppressors of selection for death-birth dynamics. PLoS Comput Biol. 2015;11:e1004437.CrossRefPubMedPubMedCentral Hindersin L, Traulsen A. Most undirected random graphs are amplifiers of selection for birth-death dynamics, but suppressors of selection for death-birth dynamics. PLoS Comput Biol. 2015;11:e1004437.CrossRefPubMedPubMedCentral
43.
go back to reference Wilkie KP, Hahnfeldt P. Tumor-immune dynamics regulated in the microenvironment inform the transient nature of immune-induced tumor dormancy. Cancer Res. 2013;73:3534–44.CrossRefPubMedPubMedCentral Wilkie KP, Hahnfeldt P. Tumor-immune dynamics regulated in the microenvironment inform the transient nature of immune-induced tumor dormancy. Cancer Res. 2013;73:3534–44.CrossRefPubMedPubMedCentral
44.
go back to reference Hahnfeldt P, Folkman J, Hlatky L. Minimizing long-term tumor burden: the logic for metronomic chemotherapeutic dosing and its antiangiogenic basis. J Theoretical Biol. 2003;220:545–54.CrossRef Hahnfeldt P, Folkman J, Hlatky L. Minimizing long-term tumor burden: the logic for metronomic chemotherapeutic dosing and its antiangiogenic basis. J Theoretical Biol. 2003;220:545–54.CrossRef
45.
46.
go back to reference Kareva I. Escape from tumor dormancy and time to angiogenic switch as mitigated by tumor-induced stimulation of stroma. J Theor Biol. 2016;395:11–22.CrossRefPubMed Kareva I. Escape from tumor dormancy and time to angiogenic switch as mitigated by tumor-induced stimulation of stroma. J Theor Biol. 2016;395:11–22.CrossRefPubMed
47.
go back to reference Enderling H, Anderson ARA, Chaplain MAJ, Beheshti A, Hlatky L, Hahnfeldt P. Paradoxical dependencies of tumor dormancy and progression on basic cell kinetics. Cancer Res. 2009;69:8814–21.CrossRefPubMed Enderling H, Anderson ARA, Chaplain MAJ, Beheshti A, Hlatky L, Hahnfeldt P. Paradoxical dependencies of tumor dormancy and progression on basic cell kinetics. Cancer Res. 2009;69:8814–21.CrossRefPubMed
48.
go back to reference Adamski V, Schmitt AD, Flüh C, Synowitz M, Hattermann K, Held-Feindt J. Isolation and characterization of fast migrating human glioma cells in the progression of malignant gliomas. Oncol Res. 2017;25:341–53.CrossRefPubMed Adamski V, Schmitt AD, Flüh C, Synowitz M, Hattermann K, Held-Feindt J. Isolation and characterization of fast migrating human glioma cells in the progression of malignant gliomas. Oncol Res. 2017;25:341–53.CrossRefPubMed
49.
go back to reference Hattermann K, Flüh C, Engel D, Mehdorn HM, Synowitz M, Mentlein R, Held-Feindt J. Stem cell markers in glioma progression and recurrence. Int J Oncol. 2016;49:1899–910.CrossRefPubMed Hattermann K, Flüh C, Engel D, Mehdorn HM, Synowitz M, Mentlein R, Held-Feindt J. Stem cell markers in glioma progression and recurrence. Int J Oncol. 2016;49:1899–910.CrossRefPubMed
50.
go back to reference Held-Feindt J, Hattermann K, Müerköster SS, Wedderkopp H, Knerlich-Lukoschus F, Ungefroren H, Mehdorn HM, Mentlein R. CX3CR1 promotes recruitment of human glioma-infiltrating microglia/macrophages (GIMs). Exp Cell Res. 2010;316:1553–66.CrossRefPubMed Held-Feindt J, Hattermann K, Müerköster SS, Wedderkopp H, Knerlich-Lukoschus F, Ungefroren H, Mehdorn HM, Mentlein R. CX3CR1 promotes recruitment of human glioma-infiltrating microglia/macrophages (GIMs). Exp Cell Res. 2010;316:1553–66.CrossRefPubMed
51.
go back to reference Hoppe-Seyler K, Bossler F, Lohrey C, Bulkescher J, Rösl F, Jansen L, Mayer A, Vaupel P, Dürst M, Hoppe-Seyler F. Induction of dormancy in hypoxic human papillomavirus-positive cancer cells. Proc Natl Acad Sci U S A. 2017;114:E990–8.CrossRefPubMedPubMedCentral Hoppe-Seyler K, Bossler F, Lohrey C, Bulkescher J, Rösl F, Jansen L, Mayer A, Vaupel P, Dürst M, Hoppe-Seyler F. Induction of dormancy in hypoxic human papillomavirus-positive cancer cells. Proc Natl Acad Sci U S A. 2017;114:E990–8.CrossRefPubMedPubMedCentral
52.
go back to reference Sosa MS, Parikh F, Maia AG, Estrada Y, Bosch A, Bragado P, Ekpin E, George A, Zheng Y, Lam HM, Morrissey C, Chung CY, Farias EF, Bernstein E, Aguirre-Ghiso JA. NR2F1 controls tumour cell dormancy via SOX9- and RARβ-driven quiescence programmes. Nat Commun. 2015;6:6170.CrossRefPubMedPubMedCentral Sosa MS, Parikh F, Maia AG, Estrada Y, Bosch A, Bragado P, Ekpin E, George A, Zheng Y, Lam HM, Morrissey C, Chung CY, Farias EF, Bernstein E, Aguirre-Ghiso JA. NR2F1 controls tumour cell dormancy via SOX9- and RARβ-driven quiescence programmes. Nat Commun. 2015;6:6170.CrossRefPubMedPubMedCentral
53.
go back to reference Ranganathan AC, Adam AP, Aguirre-Ghiso JA. Opposing roles of mitogenic and stress signaling pathways in the induction of cancer dormancy. Cell Cycle. 2006;5:1799–807.CrossRefPubMedPubMedCentral Ranganathan AC, Adam AP, Aguirre-Ghiso JA. Opposing roles of mitogenic and stress signaling pathways in the induction of cancer dormancy. Cell Cycle. 2006;5:1799–807.CrossRefPubMedPubMedCentral
54.
go back to reference Schättler H, Ledzewicz U, Amini B. Dynamical properties of a minimally parameterized mathematical model for metronomic chemotherapy. J Math Biol. 2016;72:1255–80.CrossRefPubMed Schättler H, Ledzewicz U, Amini B. Dynamical properties of a minimally parameterized mathematical model for metronomic chemotherapy. J Math Biol. 2016;72:1255–80.CrossRefPubMed
55.
go back to reference Dhawan A, Nichol D, Kinose F, Abazeed ME, Marusyk A, Haura EB, Scott JG. Collateral sensitivity networks reveal evolutionary instability and novel treatment strategies in ALK mutated non-small cell lung cancer. Sci Rep. 2017;7:1232.CrossRefPubMedPubMedCentral Dhawan A, Nichol D, Kinose F, Abazeed ME, Marusyk A, Haura EB, Scott JG. Collateral sensitivity networks reveal evolutionary instability and novel treatment strategies in ALK mutated non-small cell lung cancer. Sci Rep. 2017;7:1232.CrossRefPubMedPubMedCentral
Metadata
Title
Modeling treatment-dependent glioma growth including a dormant tumor cell subpopulation
Authors
Marvin A. Böttcher
Janka Held-Feindt
Michael Synowitz
Ralph Lucius
Arne Traulsen
Kirsten Hattermann
Publication date
01-12-2018
Publisher
BioMed Central
Published in
BMC Cancer / Issue 1/2018
Electronic ISSN: 1471-2407
DOI
https://doi.org/10.1186/s12885-018-4281-1

Other articles of this Issue 1/2018

BMC Cancer 1/2018 Go to the issue
Webinar | 19-02-2024 | 17:30 (CET)

Keynote webinar | Spotlight on antibody–drug conjugates in cancer

Antibody–drug conjugates (ADCs) are novel agents that have shown promise across multiple tumor types. Explore the current landscape of ADCs in breast and lung cancer with our experts, and gain insights into the mechanism of action, key clinical trials data, existing challenges, and future directions.

Dr. Véronique Diéras
Prof. Fabrice Barlesi
Developed by: Springer Medicine