Applying a patient-specific bio-mathematical model of glioma growth to develop virtual [18F]-FMISO-PET images.

Glioblastoma multiforme (GBM) is a class of primary brain tumours characterized by their ability to rapidly proliferate and diffusely infiltrate surrounding brain tissue. The aggressive growth of GBM leads to the development of regions of low oxygenation (hypoxia), which can be clinically assessed through [18F]-fluoromisonidazole (FMISO) positron emission tomography (PET) imaging. Building upon the success of our previous mathematical modelling efforts, we have expanded our model to include the tumour microenvironment, specifically incorporating hypoxia, necrosis and angiogenesis. A pharmacokinetic model for the FMISO-PET tracer is applied at each spatial location throughout the brain and an analytical simulator for the image acquisition and reconstruction methods is applied to the resultant tracer activity map. The combination of our anatomical model with one for FMISO tracer dynamics and PET image reconstruction is able to produce a patient-specific virtual PET image that reproduces the image characteristics of the clinical PET scan as well as shows no statistical difference in the distribution of hypoxia within the tumour. This work establishes proof of principle for a link between anatomical (magnetic resonance image [MRI]) and molecular (PET) imaging on a patient-specific basis as well as address otherwise untenable questions in molecular imaging, such as determining the effect on tracer activity from cellular density. Although further investigation is necessary to establish the predicitve value of this technique, this unique tool provides a better dynamic understanding of the biological connection between anatomical changes seen on MRI and biochemical activity seen on PET of GBM in vivo.

[1]  Alan C. Evans,et al.  An Extensible MRI Simulator for Post-Processing Evaluation , 1996, VBC.

[2]  R.L. Harrison,et al.  Measured spatially variant system response for PET image reconstruction , 2005, IEEE Nuclear Science Symposium Conference Record, 2005.

[3]  Carole Lartizien,et al.  Simulating whole-body PET scanning with rapid analytical methods , 1999, 1999 IEEE Nuclear Science Symposium. Conference Record. 1999 Nuclear Science Symposium and Medical Imaging Conference (Cat. No.99CH37019).

[4]  T G Turkington,et al.  Performance characteristics of a whole-body PET scanner. , 1994, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[5]  K. Swanson,et al.  A mathematical model for brain tumor response to radiation therapy , 2009, Journal of mathematical biology.

[6]  A. Popel,et al.  Model of competitive binding of vascular endothelial growth factor and placental growth factor to VEGF receptors on endothelial cells. , 2004, American journal of physiology. Heart and circulatory physiology.

[7]  Sara Rockwell,et al.  Hypoxia and radiation therapy: past history, ongoing research, and future promise. , 2009, Current molecular medicine.

[8]  Shankar Vallabhajosula,et al.  (18)F-labeled positron emission tomographic radiopharmaceuticals in oncology: an overview of radiochemistry and mechanisms of tumor localization. , 2007, Seminars in nuclear medicine.

[9]  K. Swanson,et al.  A mathematical modelling tool for predicting survival of individual patients following resection of glioblastoma: a proof of principle , 2007, British Journal of Cancer.

[10]  John L. Humm,et al.  Evaluation of a compartmental model for estimating tumor hypoxia via FMISO dynamic PET imaging , 2008, Physics in medicine and biology.

[11]  J. Murray,et al.  Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion , 2003, Journal of the Neurological Sciences.

[12]  Gargi Chakraborty,et al.  Quantitative metrics of net proliferation and invasion link biological aggressiveness assessed by MRI with hypoxia assessed by FMISO-PET in newly diagnosed glioblastomas. , 2009, Cancer research.

[13]  Webster K. Cavenee,et al.  The WHO Classification of Tumors of the Nervous System , 2002 .

[14]  R. Guillevin,et al.  Simulation of anisotropic growth of low‐grade gliomas using diffusion tensor imaging , 2005, Magnetic resonance in medicine.

[15]  J. Eary,et al.  [18F]FMISO and [18F]FDG PET imaging in soft tissue sarcomas: correlation of hypoxia, metabolism and VEGF expression , 2003, European Journal of Nuclear Medicine and Molecular Imaging.

[16]  R. Fisher THE WAVE OF ADVANCE OF ADVANTAGEOUS GENES , 1937 .

[17]  J. Murray,et al.  A mathematical model of glioma growth: the effect of chemotherapy on spatio‐temporal growth , 1995, Cell proliferation.

[18]  Albert Lai,et al.  Prognostic significance of growth kinetics in newly diagnosed glioblastomas revealed by combining serial imaging with a novel biomathematical model. , 2009, Cancer research.

[19]  D. Zagzag,et al.  Angiogenesis in Gliomas: Biology and Molecular Pathophysiology , 2005, Brain pathology.

[20]  Avinash C. Kak,et al.  Principles of computerized tomographic imaging , 2001, Classics in applied mathematics.

[21]  D. Louis Collins,et al.  Design and construction of a realistic digital brain phantom , 1998, IEEE Transactions on Medical Imaging.

[22]  B. Sleeman,et al.  Mathematical modeling of capillary formation and development in tumor angiogenesis: Penetration into the stroma , 2001 .

[23]  S. Ametamey,et al.  Assessment of hypoxia and perfusion in human brain tumors using PET with 18F-fluoromisonidazole and 15O-H2O. , 2004, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[24]  Alan C. Evans,et al.  MRI Simulation Based Evaluation and Classifications Methods , 1999, IEEE Trans. Medical Imaging.

[25]  L. Preziosi,et al.  Modeling the early stages of vascular network assembly , 2003, The EMBO journal.

[26]  Jonathan A. Sherratt,et al.  Models of epidermal wound healing , 1990, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[27]  Kristin R. Swanson,et al.  Complementary but Distinct Roles for MRI and 18F-Fluoromisonidazole PET in the Assessment of Human Glioblastomas , 2008, Journal of Nuclear Medicine.

[28]  J. Xuereb,et al.  High grade glioma: imaging combined with pathological grade defines management and predicts prognosis. , 2007, Radiotherapy and oncology : journal of the European Society for Therapeutic Radiology and Oncology.

[29]  Kristin R. Swanson,et al.  The Evolution of Mathematical Modeling of Glioma Proliferation and Invasion , 2007, Journal of neuropathology and experimental neurology.

[30]  Salvatore Torquato,et al.  Simulating tumor growth in confined heterogeneous environments , 2008, Physical biology.

[31]  F. O’Sullivan,et al.  Hypoxia and Glucose Metabolism in Malignant Tumors , 2004, Clinical Cancer Research.

[32]  B. Scheithauer,et al.  The 2007 WHO classification of tumours of the central nervous system , 2007, Acta Neuropathologica.

[33]  H M Byrne,et al.  The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids , 2001, Journal of mathematical biology.

[34]  Daniela Thorwarth,et al.  A kinetic model for dynamic [18F]-Fmiso PET data to analyse tumour hypoxia , 2005, Physics in medicine and biology.