Skip to main content
Erschienen in:
Buchtitelbild

2018 | OriginalPaper | Buchkapitel

Two-Scale Moving Boundary Dynamics of Cancer Invasion: Heterotypic Cell Populations’ Evolution in Heterogeneous ECM

verfasst von : Robyn Shuttleworth, Dumitru Trucu

Erschienen in: Cell Movement

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Cancer cell invasion, recognised as one of the hallmarks of cancer, is a complex process involving the secretion of matrix-degrading enzymes that have the ability to degrade the surrounding extracellular matrix (ECM). Combined with cell proliferation and migration, and changes in cell-cell and cell-matrix adhesion, the tumour is able to spread into the surrounding tissue. The multiscale character of this process is highlighted here through the double feedback link between the cell-scale molecular processes and those occurring at the tissue level. In this chapter, we build on the multiscale moving boundary framework proposed in Trucu et al. (Multiscale Model Simul 11(1):309–335, 2013) by developing the modelling of the tissue-scale dynamics to include cell-cell and cell-matrix adhesion in a heterogeneous cancer cell population. To that end, we consider here two cancer cell sub-populations, namely a primary tumour cell distribution and a second cancer cell sub-population that arises due to mutations from the primary tumour cells and exhibits higher malignancy. We explore the multiscale moving boundary dynamics of this heterogeneous tumour cell population in the presence of cell-adhesion at the tissue-scale and matrix degrading enzyme molecular processes considered at cell-scale. Using computational simulations we examine the effect of different levels of adhesion and matrix remodelling on the invasion of cancer cells.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Andasari V, Gerisch A, Lolas G, South A, Chaplain MAJ (2011) Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation. J Math Biol 63(1):141–171MathSciNetCrossRef Andasari V, Gerisch A, Lolas G, South A, Chaplain MAJ (2011) Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation. J Math Biol 63(1):141–171MathSciNetCrossRef
2.
Zurück zum Zitat Anderson A, Rejniak K, Gerlee P, Quaranta V (2007) Modelling of cancer growth, evolution and invasion: Bridging scales and models. Math Model Nat Phenom 2(3):1–29MathSciNetCrossRef Anderson A, Rejniak K, Gerlee P, Quaranta V (2007) Modelling of cancer growth, evolution and invasion: Bridging scales and models. Math Model Nat Phenom 2(3):1–29MathSciNetCrossRef
3.
Zurück zum Zitat Anderson ARA, Chaplain MAJ, Newman EL, Steele RJC, Thompson AM (2000) Mathematical modelling of tumour invasion and metastasis. J Theor Med 2(2):129–154, doi10.1080/10273660008833042CrossRef Anderson ARA, Chaplain MAJ, Newman EL, Steele RJC, Thompson AM (2000) Mathematical modelling of tumour invasion and metastasis. J Theor Med 2(2):129–154, doi10.1080/10273660008833042CrossRef
4.
Zurück zum Zitat Armstrong NJ, Painter KJ, Sherratt JA (2006) A continuum approach to modelling cell-cell adhesion. J Theor Biol 243(1):98–113MathSciNetCrossRef Armstrong NJ, Painter KJ, Sherratt JA (2006) A continuum approach to modelling cell-cell adhesion. J Theor Biol 243(1):98–113MathSciNetCrossRef
5.
Zurück zum Zitat Bellomo N, Angelis ED, Preziosi L (2002) Multiscale modelling and mathematical problems related to tumour evolution and medical therapy. J Theor Biol 58:3719–3727 Bellomo N, Angelis ED, Preziosi L (2002) Multiscale modelling and mathematical problems related to tumour evolution and medical therapy. J Theor Biol 58:3719–3727
6.
Zurück zum Zitat Berrier AL, Yamada KM (2007) Cell-matrix adhesion. J Cell Physiol 213(3):565–573, doi10.1002/jcp.21237CrossRef Berrier AL, Yamada KM (2007) Cell-matrix adhesion. J Cell Physiol 213(3):565–573, doi10.1002/jcp.21237CrossRef
7.
Zurück zum Zitat Bhagavathula N, Hanosh AW, Nerusu KC, Appelman H, Chakrabarty S, Varani J (2007) Regulation of e-cadherin and β-catenin by Ca2+ in colon carcinoma is dependent on calcium-sensing receptor expression and function. Int J Cancer 121:1455–1462, doi10.1002/ijc.22858CrossRef Bhagavathula N, Hanosh AW, Nerusu KC, Appelman H, Chakrabarty S, Varani J (2007) Regulation of e-cadherin and β-catenin by Ca2+ in colon carcinoma is dependent on calcium-sensing receptor expression and function. Int J Cancer 121:1455–1462, doi10.1002/ijc.22858CrossRef
8.
Zurück zum Zitat Byrne HM, Preziosi L (2004) Modelling solid tumour growth using the theory of mixtures. Math Med Biol 20:341–366, doi10.1093/imammb/20.4.341CrossRef Byrne HM, Preziosi L (2004) Modelling solid tumour growth using the theory of mixtures. Math Med Biol 20:341–366, doi10.1093/imammb/20.4.341CrossRef
9.
Zurück zum Zitat Cavallaro U, Christofori G (2001) Cell adhesion in tumor invasion and metastasis: loss of the glue is not enough. Biochimica et Biophysica Acta (BBA) - Reviews on Cancer 1552(1):39–45, doi10.1016/S0304-419X(01)00038-5CrossRef Cavallaro U, Christofori G (2001) Cell adhesion in tumor invasion and metastasis: loss of the glue is not enough. Biochimica et Biophysica Acta (BBA) - Reviews on Cancer 1552(1):39–45, doi10.1016/S0304-419X(01)00038-5CrossRef
10.
Zurück zum Zitat Chaffer CL, Weinberg RA (2011) A perspective on cancer cell metastasis. Science 331(6024):1559–1564CrossRef Chaffer CL, Weinberg RA (2011) A perspective on cancer cell metastasis. Science 331(6024):1559–1564CrossRef
11.
Zurück zum Zitat Chaplain MA (1996) Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development. Math Comput Model 23(6):47–87CrossRef Chaplain MA (1996) Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development. Math Comput Model 23(6):47–87CrossRef
12.
Zurück zum Zitat Chaplain MAJ, Lachowicz M, Szymańska Z, Wrzosek D (2011) Mathematical modelling of cancer invasion: The importance of cell-cell adhesion and cell-matrix adhesion. Math Mod Meth Appl S 21:719–743, doi10.1142/S0218202511005192MathSciNetCrossRef Chaplain MAJ, Lachowicz M, Szymańska Z, Wrzosek D (2011) Mathematical modelling of cancer invasion: The importance of cell-cell adhesion and cell-matrix adhesion. Math Mod Meth Appl S 21:719–743, doi10.1142/S0218202511005192MathSciNetCrossRef
13.
Zurück zum Zitat Chauviere A, Hillen T, Preziosi L (2007) Modeling cell movement in anisotropic and heterogeneous network tissues. Netw Heterog Media 2(2):333–357MathSciNetCrossRef Chauviere A, Hillen T, Preziosi L (2007) Modeling cell movement in anisotropic and heterogeneous network tissues. Netw Heterog Media 2(2):333–357MathSciNetCrossRef
14.
Zurück zum Zitat Cox TR, Erler JT (2011) Remodeling and homeostasis of the extracellular matrix: implications for fibrotic diseases and cancer. Disease Models and Mechanisms 4(2):165–178CrossRef Cox TR, Erler JT (2011) Remodeling and homeostasis of the extracellular matrix: implications for fibrotic diseases and cancer. Disease Models and Mechanisms 4(2):165–178CrossRef
15.
Zurück zum Zitat Domschke P, Trucu D, Gerisch A, Chaplain M (2014) Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns. J Theor Biol 361:41–60MathSciNetCrossRef Domschke P, Trucu D, Gerisch A, Chaplain M (2014) Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns. J Theor Biol 361:41–60MathSciNetCrossRef
16.
Zurück zum Zitat Gerisch A, Chaplain M (2008) Mathematical modelling of cancer cell invasion of tissue: Local and non-local models and the effect of adhesion. J Theor Biol 250:684–704MathSciNetCrossRef Gerisch A, Chaplain M (2008) Mathematical modelling of cancer cell invasion of tissue: Local and non-local models and the effect of adhesion. J Theor Biol 250:684–704MathSciNetCrossRef
17.
Zurück zum Zitat Hanahan D, Weinberg RA (2000) The hallmarks of cancer. Cell 100:57–70, doi10.1016/S0092-8674(00)81683-9CrossRef Hanahan D, Weinberg RA (2000) The hallmarks of cancer. Cell 100:57–70, doi10.1016/S0092-8674(00)81683-9CrossRef
18.
Zurück zum Zitat Hanahan D, Weinberg RA (2011) The hallmarks of cancer: The next generation. Cell 144:646–674CrossRef Hanahan D, Weinberg RA (2011) The hallmarks of cancer: The next generation. Cell 144:646–674CrossRef
19.
Zurück zum Zitat Hillen T (2006) M5 mesoscopic and macroscopic models for mesenchymal motion. Journal of Mathematical Biology 53(4):585–616, doi10.1007/s00285-006-0017-yMathSciNetCrossRef Hillen T (2006) M5 mesoscopic and macroscopic models for mesenchymal motion. Journal of Mathematical Biology 53(4):585–616, doi10.1007/s00285-006-0017-yMathSciNetCrossRef
20.
Zurück zum Zitat Hills CE, Younis MYG, Bennett J, Siamantouras E, Liu KK, Squires PE (2012) Calcium-sensing receptor activation increases cell-cell adhesion and -cell function. Cell Physiol Biochem 30(3):575–586, doi10.1159/000341439CrossRef Hills CE, Younis MYG, Bennett J, Siamantouras E, Liu KK, Squires PE (2012) Calcium-sensing receptor activation increases cell-cell adhesion and -cell function. Cell Physiol Biochem 30(3):575–586, doi10.1159/000341439CrossRef
21.
Zurück zum Zitat Holle AW, Young JL, Spatz JP (2016) In vitro cancer cell–ecm interactions inform in vivo cancer treatment. Advanced Drug Delivery Reviews 97(Supplement C):270–279, doi10.1016/j.addr.2015.10.007CrossRef Holle AW, Young JL, Spatz JP (2016) In vitro cancer cell–ecm interactions inform in vivo cancer treatment. Advanced Drug Delivery Reviews 97(Supplement C):270–279, doi10.1016/j.addr.2015.10.007CrossRef
22.
Zurück zum Zitat Katt ME, Placone AL, Wong AD, Xu ZS, Searson PC (2016) In vitro tumor models: Advantages, disadvantages, variables, and selecting the right platform. Frontiers in Bioengineering and Biotechnology 4(12) Katt ME, Placone AL, Wong AD, Xu ZS, Searson PC (2016) In vitro tumor models: Advantages, disadvantages, variables, and selecting the right platform. Frontiers in Bioengineering and Biotechnology 4(12)
23.
Zurück zum Zitat Lodish H, Berk A, Zipursky S (2000) Molecular Cell Biology, 4th edn. W.H.Freeman Lodish H, Berk A, Zipursky S (2000) Molecular Cell Biology, 4th edn. W.H.Freeman
24.
Zurück zum Zitat Nabeshima K, Inoue T, Shimao Y, Sameshima T (2002) Matrix metalloproteinases in tumor invasion: Role for cell migration. Pathology International 52(4):255–264CrossRef Nabeshima K, Inoue T, Shimao Y, Sameshima T (2002) Matrix metalloproteinases in tumor invasion: Role for cell migration. Pathology International 52(4):255–264CrossRef
25.
Zurück zum Zitat Painter KJ (2008) Modelling cell migration strategies in the extracellular matrix. Journal of Mathematical Biology 58(4):511, doi10.1007/s00285-008-0217-8MathSciNetCrossRef Painter KJ (2008) Modelling cell migration strategies in the extracellular matrix. Journal of Mathematical Biology 58(4):511, doi10.1007/s00285-008-0217-8MathSciNetCrossRef
26.
Zurück zum Zitat Parsons SL, Watson SA, Brown PD, Collins HM, Steele RJ (1997) Matrix metalloproteinases. Brit J Surg 84(2):160–166, doi10.1046/j.1365-2168.1997.02719.xCrossRef Parsons SL, Watson SA, Brown PD, Collins HM, Steele RJ (1997) Matrix metalloproteinases. Brit J Surg 84(2):160–166, doi10.1046/j.1365-2168.1997.02719.xCrossRef
27.
Zurück zum Zitat Ramis-Conde I, Drasdo D, Anderson AR, Chaplain MA (2008) Modeling the influence of the e-cadherin-beta-catenin pathway in cancer cell invasion: a multiscale approach. Biophys J 95(1):155–165CrossRef Ramis-Conde I, Drasdo D, Anderson AR, Chaplain MA (2008) Modeling the influence of the e-cadherin-beta-catenin pathway in cancer cell invasion: a multiscale approach. Biophys J 95(1):155–165CrossRef
28.
Zurück zum Zitat Shah D, Tseng W, Martinez S (2012) Treatment options for metaplastic breast cancer. ISRN Oncology 2012 Shah D, Tseng W, Martinez S (2012) Treatment options for metaplastic breast cancer. ISRN Oncology 2012
29.
Zurück zum Zitat Trucu D, Lin P, Chaplain MAJ, Wang Y (2013) A multiscale moving boundary model arising in cancer invasion. Multiscale Model Simul 11(1):309–335MathSciNetCrossRef Trucu D, Lin P, Chaplain MAJ, Wang Y (2013) A multiscale moving boundary model arising in cancer invasion. Multiscale Model Simul 11(1):309–335MathSciNetCrossRef
30.
31.
Zurück zum Zitat Weigelt B, Peterse JL, van’t Veer LJ (2005) Breast cancer metastasis: markers and models. Nat Rev Cancer 5(8):591–602CrossRef Weigelt B, Peterse JL, van’t Veer LJ (2005) Breast cancer metastasis: markers and models. Nat Rev Cancer 5(8):591–602CrossRef
32.
Zurück zum Zitat Wijnhoven B, Dinjens W, Pignatelli M (2000) E-cadherin-catenin cell-cell adhesion complex and human cancer. Brit J Surg 87(8):992–1005CrossRef Wijnhoven B, Dinjens W, Pignatelli M (2000) E-cadherin-catenin cell-cell adhesion complex and human cancer. Brit J Surg 87(8):992–1005CrossRef
33.
Zurück zum Zitat Yamaguchi H, Wyckoff J, Condeelis J (2005) Cell migration in tumors. Current Opinion in Cell Biology 17(5):559–564, doi10.1016/j.ceb.2005.08.002CrossRef Yamaguchi H, Wyckoff J, Condeelis J (2005) Cell migration in tumors. Current Opinion in Cell Biology 17(5):559–564, doi10.1016/j.ceb.2005.08.002CrossRef
34.
Zurück zum Zitat Yang H (2012) Mathematical modelling of solid cancer growth with angiogenesis. Theor Biol and Med Mod 9(2)CrossRef Yang H (2012) Mathematical modelling of solid cancer growth with angiogenesis. Theor Biol and Med Mod 9(2)CrossRef
Metadaten
Titel
Two-Scale Moving Boundary Dynamics of Cancer Invasion: Heterotypic Cell Populations’ Evolution in Heterogeneous ECM
verfasst von
Robyn Shuttleworth
Dumitru Trucu
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-96842-1_1

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.