Stress alleviation strategy in cancer treatment: Insights from a mathematical model

Tumors generate mechanical forces during growth and progression, which are able to compress blood and lymphatic vessels, reducing perfusion rates and creating hypoxia. Tumor vessels—while nourishing the tumor—are usually leaky and tortuous, which further decreases perfusion. Consequently, vessel leakiness together with vessel compression causes a uniformly elevated interstitial fluid pressure that hinder drug delivery and compromise therapeutic outcomes. To enhance treatment efficacy, stress alleviation and vascular normalization strategies have been developed to improve tumor perfusion and drug delivery. Stress alleviation strategy aim to decrease solid stress levels and reopen compressed blood vessels leading to improve perfusion and drug delivery. On the other hand, vascular normalization strategy aims to restore the abnormalities in tumor vasculature by decreasing vessel leakiness and thus enhance drug efficacy. Here, we employed a mathematical model to study the stress alleviation strategy using published experimental data and performing new experiments in mice bearing breast tumors. Specifically, we accounted for variations in tumor hydraulic conductivity, elastic modulus and swelling related to changes in extracellular matrix components induced by the anti‐fibrotic and stress alleviating drug, tranilast. We showed that alleviation of mechanical stresses in tumors reduces the tumor interstitial fluid pressure to normal levels and increases the functionality of the tumor vasculature resulted in improved drug delivery and treatment outcome. Finally, we used model predictions to show that vascular normalization can be combined with stress alleviation to further improve therapeutic outcomes.

[1]  A. Grillo,et al.  An avascular tumor growth model based on porous media mechanics and evolving natural states , 2018 .

[2]  P. Papageorgis,et al.  Tranilast-induced stress alleviation in solid tumors improves the efficacy of chemo- and nanotherapeutics in a size-independent manner , 2017, Scientific Reports.

[3]  P. Papageorgis,et al.  Pirfenidone normalizes the tumor microenvironment to improve chemotherapy , 2017, Oncotarget.

[4]  Triantafyllos Stylianopoulos,et al.  Role of vascular normalization in benefit from metronomic chemotherapy , 2017, Proceedings of the National Academy of Sciences.

[5]  T. Stylianopoulos The Solid Mechanics of Cancer and Strategies for Improved Therapy. , 2017, Journal of biomechanical engineering.

[6]  Dai Fukumura,et al.  Reengineering the Tumor Microenvironment to Alleviate Hypoxia and Overcome Cancer Heterogeneity. , 2016, Cold Spring Harbor perspectives in medicine.

[7]  Dai Fukumura,et al.  Solid stress and elastic energy as measures of tumour mechanopathology , 2016, Nature Biomedical Engineering.

[8]  V. Gkretsi,et al.  Hyaluronan-Derived Swelling of Solid Tumors, the Contribution of Collagen and Cancer Cells, and Implications for Cancer Therapy12 , 2016, Neoplasia.

[9]  V. Gkretsi,et al.  Remodeling Components of the Tumor Microenvironment to Enhance Cancer Therapy , 2015, Front. Oncol..

[10]  Michelle R. Dawson,et al.  Osmotic Regulation Is Required for Cancer Cell Survival under Solid Stress. , 2015, Biophysical journal.

[11]  P. Papageorgis,et al.  Remodeling of extracellular matrix due to solid stress accumulation during tumor growth , 2015, Connective tissue research.

[12]  Triantafyllos Stylianopoulos,et al.  Stress-mediated progression of solid tumors: effect of mechanical stress on tissue oxygenation, cancer cell proliferation, and drug delivery , 2015, Biomechanics and Modeling in Mechanobiology.

[13]  R. Jain,et al.  Towards Optimal Design of Cancer Nanomedicines: Multi-stage Nanoparticles for the Treatment of Solid Tumors , 2015, Annals of Biomedical Engineering.

[14]  P. Papageorgis,et al.  Role of TGFβ in regulation of the tumor microenvironment and drug delivery (Review) , 2015, International journal of oncology.

[15]  T. Stylianopoulos,et al.  Evolution of osmotic pressure in solid tumors. , 2014, Journal of biomechanics.

[16]  Triantafyllos Stylianopoulos,et al.  Role of Constitutive Behavior and Tumor-Host Mechanical Interactions in the State of Stress and Growth of Solid Tumors , 2014, PloS one.

[17]  Triantafyllos Stylianopoulos,et al.  The role of mechanical forces in tumor growth and therapy. , 2014, Annual review of biomedical engineering.

[18]  Triantafyllos Stylianopoulos,et al.  Combining two strategies to improve perfusion and drug delivery in solid tumors , 2013, Proceedings of the National Academy of Sciences.

[19]  Rakesh K. Jain,et al.  Angiotensin inhibition enhances drug delivery and potentiates chemotherapy by decompressing tumour blood vessels , 2013, Nature Communications.

[20]  Matija Snuderl,et al.  Coevolution of solid stress and interstitial fluid pressure in tumors during progression: implications for vascular collapse. , 2013, Cancer research.

[21]  R. Jain Normalizing tumor microenvironment to treat cancer: bench to bedside to biomarkers. , 2013, Journal of clinical oncology : official journal of the American Society of Clinical Oncology.

[22]  P. Ciarletta,et al.  Buckling instability in growing tumor spheroids. , 2013, Physical review letters.

[23]  P. Koumoutsakos,et al.  The Fluid Mechanics of Cancer and Its Therapy , 2013 .

[24]  T. Roose,et al.  The buckling of capillaries in solid tumours , 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[25]  Triantafyllos Stylianopoulos,et al.  Causes, consequences, and remedies for growth-induced solid stress in murine and human tumors , 2012, Proceedings of the National Academy of Sciences.

[26]  R. Jain,et al.  Normalization of tumour blood vessels improves the delivery of nanomedicines in a size-dependent manner , 2012, Nature nanotechnology.

[27]  Rakesh K Jain,et al.  Mechanical compression drives cancer cells toward invasive phenotype , 2011, Proceedings of the National Academy of Sciences.

[28]  Hans G Othmer,et al.  The role of the microenvironment in tumor growth and invasion. , 2011, Progress in biophysics and molecular biology.

[29]  Denis Wirtz,et al.  The physics of cancer: the role of physical interactions and mechanical forces in metastasis , 2011, Nature Reviews Cancer.

[30]  Triantafyllos Stylianopoulos,et al.  Delivery of molecular and nanoscale medicine to tumors: transport barriers and strategies. , 2011, Annual review of chemical and biomolecular engineering.

[31]  W. Wilson,et al.  Targeting hypoxia in cancer therapy , 2011, Nature Reviews Cancer.

[32]  R. Jain,et al.  Losartan inhibits collagen I synthesis and improves the distribution and efficacy of nanotherapeutics in tumors , 2011, Proceedings of the National Academy of Sciences.

[33]  Adrian C. Shieh,et al.  Biomechanical Forces Shape the Tumor Microenvironment , 2011, Annals of Biomedical Engineering.

[34]  R. Jain,et al.  Delivering nanomedicine to solid tumors , 2010, Nature Reviews Clinical Oncology.

[35]  Z. N. Demou Gene Expression Profiles in 3D Tumor Analogs Indicate Compressive Strain Differentially Enhances Metastatic Potential , 2010, Annals of Biomedical Engineering.

[36]  Michael M. Schmidt,et al.  A modeling analysis of the effects of molecular size and binding affinity on tumor targeting , 2009, Molecular Cancer Therapeutics.

[37]  S. Eikenberry Theoretical Biology and Medical Modelling Open Access a Tumor Cord Model for Doxorubicin Delivery and Dose Optimization in Solid Tumors , 2022 .

[38]  Philip V. Bayly,et al.  Residual stress in the adult mouse brain , 2009, Biomechanics and modeling in mechanobiology.

[39]  G. Prud’homme,et al.  Tranilast inhibits the growth and metastasis of mammary carcinoma , 2009, Anti-cancer drugs.

[40]  Wilson Mok,et al.  Mathematical Modeling of Herpes Simplex Virus Distribution in Solid Tumors: Implications for Cancer Gene Therapy , 2009, Clinical Cancer Research.

[41]  R. Jain,et al.  Micro-Environmental Mechanical Stress Controls Tumor Spheroid Size and Morphology by Suppressing Proliferation and Inducing Apoptosis in Cancer Cells , 2009, PloS one.

[42]  Andrew Yeckel,et al.  Permeability calculations in three-dimensional isotropic and oriented fiber networks. , 2008, Physics of fluids.

[43]  Larry A. Taber,et al.  Theoretical study of Beloussov’s hyper-restoration hypothesis for mechanical regulation of morphogenesis , 2008, Biomechanics and modeling in mechanobiology.

[44]  Ricky T. Tong,et al.  Effect of vascular normalization by antiangiogenic therapy on interstitial hypertension, peritumor edema, and lymphatic metastasis: insights from a mathematical model. , 2007, Cancer research.

[45]  D A Weitz,et al.  Glioma expansion in collagen I matrices: analyzing collagen concentration-dependent growth and motility patterns. , 2005, Biophysical journal.

[46]  Rakesh K. Jain,et al.  Vascular Normalization by Vascular Endothelial Growth Factor Receptor 2 Blockade Induces a Pressure Gradient Across the Vasculature and Improves Drug Penetration in Tumors , 2004, Cancer Research.

[47]  Rakesh K. Jain,et al.  Pathology: Cancer cells compress intratumour vessels , 2004, Nature.

[48]  R. Jain,et al.  Solid stress generated by spheroid growth estimated using a linear poroelasticity model. , 2003, Microvascular research.

[49]  D. Ambrosi,et al.  On the mechanics of a growing tumor , 2002 .

[50]  E. Uchida,et al.  Anti-tumor effect of N-[3,4-dimethoxycinnamoyl]-anthranilic acid (tranilast) on experimental pancreatic cancer. , 2002, Journal of Nippon Medical School = Nippon Ika Daigaku zasshi.

[51]  Lei Xu,et al.  Tumour biology: Herceptin acts as an anti-angiogenic cocktail , 2002, Nature.

[52]  L. Preziosi,et al.  Modelling Solid Tumor Growth Using the Theory of Mixtures , 2001, Mathematical medicine and biology : a journal of the IMA.

[53]  R. B. Campbell,et al.  Role of tumor–host interactions in interstitial diffusion of macromolecules: Cranial vs. subcutaneous tumors , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[54]  R. Jain,et al.  Role of extracellular matrix assembly in interstitial transport in solid tumors. , 2000, Cancer research.

[55]  R K Jain,et al.  Taxane-induced apoptosis decompresses blood vessels and lowers interstitial fluid pressure in solid tumors: clinical implications. , 1999, Cancer research.

[56]  R. Jain,et al.  Regulation of transport pathways in tumor vessels: role of tumor type and microenvironment. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[57]  Paolo A. Netti,et al.  Solid stress inhibits the growth of multicellular tumor spheroids , 1997, Nature Biotechnology.

[58]  A. McCulloch,et al.  Stress-dependent finite growth in soft elastic tissues. , 1994, Journal of biomechanics.

[59]  R K Jain,et al.  Microvascular pressure is the principal driving force for interstitial hypertension in solid tumors: implications for vascular collapse. , 1992, Cancer research.

[60]  S. V. Sotirchos,et al.  Variations in tumor cell growth rates and metabolism with oxygen concentration, glucose concentration, and extracellular pH , 1992, Journal of cellular physiology.

[61]  S. V. Sotirchos,et al.  Mathematical modelling of microenvironment and growth in EMT6/Ro multicellular tumour spheroids , 1992, Cell proliferation.

[62]  R K Jain,et al.  Transport of fluid and macromolecules in tumors. II. Role of heterogeneous perfusion and lymphatics. , 1990, Microvascular research.

[63]  R K Jain,et al.  Interstitial pressure gradients in tissue-isolated and subcutaneous tumors: implications for therapy. , 1990, Cancer research.

[64]  W. Deen Hindered transport of large molecules in liquid‐filled pores , 1987 .

[65]  A M Kerr,et al.  Comparative intracellular uptake of adriamycin and 4'-deoxydoxorubicin by non-small cell lung tumor cells in culture and its relationship to cell survival. , 1986, Biochemical pharmacology.

[66]  D. F. James,et al.  The permeability of fibrous porous media , 1986 .

[67]  V. Mow,et al.  Biphasic creep and stress relaxation of articular cartilage in compression? Theory and experiments. , 1980, Journal of biomechanical engineering.

[68]  Philip V Bayly,et al.  Opening angles and material properties of the early embryonic chick brain. , 2010, Journal of biomechanical engineering.

[69]  R K Jain,et al.  Compatibility and the genesis of residual stress by volumetric growth , 1996, Journal of mathematical biology.

[70]  R K Jain,et al.  Transport of fluid and macromolecules in tumors. I. Role of interstitial pressure and convection. , 1989, Microvascular research.