Study of tumor blood perfusion and its variation due to vascular normalization by anti-angiogenic therapy based on 3D angiogenic microvasculature.

The coupling of intravascular and interstitial flow is a distinct feature of tumor microcirculation, due to high vessel permeability, low osmotic pressure gradient and absence of functional lymphatic system inside tumors. We have previously studied the tumor microcirculation by using a 2D coupled model. In this paper, we extend it to a 3D case with some new considerations, to investigate tumor blood perfusion on a more realist microvasculature, and the effects of vascular normalization by anti-angiogenic therapy on tumor microenvironment. The model predict the abnormal tumor microcirculation and the resultant hostile microenvironment: (1) in the intra-tumoral vessels, blood flows slowly with almost constant pressure values, haematocrit is much lower which contributes to hypoxia and necrosis formation of the tumor centre; (2) the total transvascular flux is at the same order of magnitude as intravascular flux, the intravasation appears inside of the tumor, the ratio of the total amount of intravasation flux to extravasation flux is about 16% for the present model; (3) the interstitial pressure is uniformly high throughout the tumor and drops precipitously at the periphery, which leads to an extremely slow interstitial flow inside the tumor, and a rapidly rising convective flow oozing out from the tumor margin into the surrounding normal tissue. The investigation of the sensitivity of flows to changes in transport properties of vessels and interstitium as well as the vascular density of the vasculature, gains an insight into how normalization of tumor microenvironment by anti-angiogenic therapies influences the blood perfusion.

[1]  Dai Fukumura,et al.  Imaging steps of lymphatic metastasis reveals that vascular endothelial growth factor-C increases metastasis by increasing delivery of cancer cells to lymph nodes: therapeutic implications. , 2006, Cancer research.

[2]  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.

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

[4]  James L Tatum,et al.  Hypoxia: Importance in tumor biology, noninvasive measurement by imaging, and value of its measurement in the management of cancer therapy , 2006, International journal of radiation biology.

[5]  Borivoj Vojnovic,et al.  Intravital imaging of tumour vascular networks using multi-photon fluorescence microscopy. , 2005, Advanced drug delivery reviews.

[6]  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.

[7]  M Ancukiewicz,et al.  Anti-Vascular endothelial growth factor treatment augments tumor radiation response under normoxic or hypoxic conditions. , 2000, Cancer research.

[8]  P. Maini,et al.  Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy , 2006 .

[9]  H Rieger,et al.  Emergent vascular network inhomogeneities and resulting blood flow patterns in a growing tumor. , 2008, Journal of theoretical biology.

[10]  R. Jain,et al.  Spatial heterogeneity in tumor perfusion measured with functional computed tomography at 0.05 microliter resolution. , 1994, Cancer research.

[11]  A. Pries,et al.  Microvascular blood viscosity in vivo and the endothelial surface layer. , 2005, American journal of physiology. Heart and circulatory physiology.

[12]  Adrian L. Harris,et al.  Hypoxia — a key regulatory factor in tumour growth , 2002, Nature Reviews Cancer.

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

[14]  Y. Fung,et al.  Biomechanics: Mechanical Properties of Living Tissues , 1981 .

[15]  J. Folkman Tumor angiogenesis. , 1985, Advances in cancer research.

[16]  A. Pries,et al.  Structural adaptation and stability of microvascular networks: theory and simulations. , 1998, The American journal of physiology.

[17]  Helen M. Byrne,et al.  The impact of cell crowding and active cell movement on vascular tumour growth , 2006, Networks Heterog. Media.

[18]  B. Reglin,et al.  Structural adaptation of microvascular networks: functional roles of adaptive responses. , 2001, American journal of physiology. Heart and circulatory physiology.

[19]  S. McDougall,et al.  Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies. , 2006, Journal of theoretical biology.

[20]  A. Pries,et al.  Resistance to blood flow in microvessels in vivo. , 1994, Circulation research.

[21]  Gary G. Meadows,et al.  Integration/Interaction of Oncologic Growth , 2005 .

[22]  Dai Fukumura,et al.  Tumor microvasculature and microenvironment: targets for anti-angiogenesis and normalization. , 2007, Microvascular research.

[23]  S. McDougall,et al.  Mathematical modeling of tumor-induced angiogenesis. , 2006, Annual review of biomedical engineering.

[24]  B. Reglin,et al.  Structural Adaptation of Vascular Networks: Role of the Pressure Response , 2001, Hypertension.

[25]  P. Maini,et al.  A cellular automaton model for tumour growth in inhomogeneous environment. , 2003, Journal of theoretical biology.

[26]  R K Jain,et al.  Effect of transvascular fluid exchange on pressure-flow relationship in tumors: a proposed mechanism for tumor blood flow heterogeneity. , 1996, Microvascular research.

[27]  V. Cristini,et al.  Nonlinear simulation of tumor growth , 2003, Journal of mathematical biology.

[28]  H. Frieboes,et al.  Three-dimensional multispecies nonlinear tumor growth--I Model and numerical method. , 2008, Journal of theoretical biology.

[29]  E F Donnelly,et al.  Quantified power Doppler US of tumor blood flow correlates with microscopic quantification of tumor blood vessels. , 2001, Radiology.

[30]  B Landuyt,et al.  Effect of antivascular endothelial growth factor treatment on the intratumoral uptake of CPT-11 , 2003, British Journal of Cancer.

[31]  Rakesh K. Jain,et al.  Interstitial pH and pO2 gradients in solid tumors in vivo: High-resolution measurements reveal a lack of correlation , 1997, Nature Medicine.

[32]  Rakesh K. Jain,et al.  Spatial Heterogeneity in Tumor Perfusion Measured with Functional Computed Tomography at 0.05 µl Resolution , 1994 .

[33]  A. Krogh The Anatomy and Physiology of Capillaries , 2010 .

[34]  Rakesh K Jain,et al.  Lymphatic Metastasis in the Absence of Functional Intratumor Lymphatics , 2002, Science.

[35]  Alexander R. A. Anderson,et al.  Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis , 2006, Math. Comput. Model..

[36]  Gaiping Zhao,et al.  Coupled modeling of blood perfusion in intravascular, interstitial spaces in tumor microvasculature. , 2008, Journal of biomechanics.

[37]  H Rieger,et al.  Vascular network remodeling via vessel cooption, regression and growth in tumors. , 2005, Journal of theoretical biology.

[38]  Dai Fukumura,et al.  Role of Microenvironment on Gene Expression, Angiogenesis and Microvascular Function in Tumors , 2005 .

[39]  P. Maini,et al.  MODELLING THE RESPONSE OF VASCULAR TUMOURS TO CHEMOTHERAPY: A MULTISCALE APPROACH , 2006 .

[40]  S. Heiland,et al.  Trimodal cancer treatment: beneficial effects of combined antiangiogenesis, radiation, and chemotherapy. , 2005, Cancer research.