Multiphase modeling of tumor growth with matrix remodeling and fibrosis

We present a multiphase mathematical model for tumor growth which incorporates the remodeling of the extracellular matrix and describes the formation of fibrotic tissue by tumor cells. We also detail a full qualitative analysis of the spatially homogeneous problem, and study the equilibria of the system in order to characterize the conditions under which fibrosis may occur.

[1]  J. Iredale.  Models of liver fibrosis: exploring the dynamic nature of inflammation and repair in a solid organ. , 2007, The Journal of clinical investigation.

[2]  H Clevers,et al.  Catenins, Wnt signaling and cancer. , 2000, BioEssays : news and reviews in molecular, cellular and developmental biology.

[3]  Luigi Preziosi,et al.  Multiphase and Multiscale Trends in Cancer Modelling , 2009 .

[4]  Micah Dembo,et al.  Mammary epithelial cell: influence of extracellular matrix composition and organization during development and tumorigenesis. , 2007, The international journal of biochemistry & cell biology.

[5]  Peter Robert Arundel Johnson.  Annual Scientific Meeting of ASCEPT, 1999 Role Of Human Airway Smooth Muscle In Altered Extracellular Matrix Production In Asthma , 2001, Clinical and experimental pharmacology & physiology.

[6]  Elise C. Kohn,et al.  The microenvironment of the tumour–host interface , 2001, Nature.

[7]  Yulan Jin,et al.  Characteristics of normal stromal components and their correlation with cancer occurrence in human prostate. , 2003, Oncology reports.

[8]  Valerie M. Weaver,et al.  A tense situation: forcing tumour progression , 2009, Nature Reviews Cancer.

[9]  M. Chiquet,et al.  Regulation of extracellular matrix synthesis by mechanical stress. , 1996, Biochemistry and cell biology = Biochimie et biologie cellulaire.

[10]  Cynthia A. Reinhart-King,et al.  Tensional homeostasis and the malignant phenotype. , 2005, Cancer cell.

[11]  Toshihiro Akaike,et al.  Gene expression of type I and type III collagen by mechanical stretch in anterior cruciate ligament cells. , 2002, Cell structure and function.

[12]  D. Elder,et al.  Melanoma-stroma interactions: structural and functional aspects. , 2002, The Lancet. Oncology.

[13]  M. Shamoto,et al.  Variation in glycosaminoglycan components of breast tumors. , 1976, Cancer research.

[14]  K. Fujiwara,et al.  ECM remodeling in hypertensive heart disease. , 2007, The Journal of clinical investigation.

[15]  P. Polakis.  Wnt signaling and cancer. , 2000, Genes & development.

[16]  L. Preziosi,et al.  Cell adhesion mechanisms and stress relaxation in the mechanics of tumours , 2009, Biomechanics and modeling in mechanobiology.

[17]  P. Howarth,et al.  Myofibroblasts and subepithelial fibrosis in bronchial asthma. , 1990, American journal of respiratory cell and molecular biology.

[18]  Luigi Preziosi,et al.  Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications , 2009, Journal of mathematical biology.

[19]  L Preziosi,et al.  An elasto-visco-plastic model of cell aggregates. , 2010, Journal of theoretical biology.

[20]  Michael Kjaer,et al.  Role of extracellular matrix in adaptation of tendon and skeletal muscle to mechanical loading. , 2004, Physiological reviews.

[21]  Jeremy J Mao,et al.  Growth and development: hereditary and mechanical modulations. , 2004, American journal of orthodontics and dentofacial orthopedics : official publication of the American Association of Orthodontists, its constituent societies, and the American Board of Orthodontics.

[22]  Fibrinogen induces endothelial cell adhesion and spreading via the release of endogenous matrix proteins and the recruitment of more than one integrin receptor. , 1990, Blood.

[23]  M. Hautekeete,et al.  The hepatic stellate (Ito) cell: its role in human liver disease , 1997, Virchows Archiv.

[24]  P. Tracqui,et al.  Biophysical models of tumour growth , 2009 .

[25]  M. Chaplain,et al.  Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development. , 2006, Mathematical medicine and biology : a journal of the IMA.

[26]  D L S McElwain,et al.  A history of the study of solid tumour growth: The contribution of mathematical modelling , 2004, Bulletin of mathematical biology.