Research


The field of Mathematical NeuroOncology represents a marriage between applied mathematics, clinical oncology, cancer biology, radiology, pathology and informatics to enable practical clinical tools to benefit brain tumor patients.  This site has evolved out of the Swanson Lab (now based at The Mayo Clinic in Phoenix, Arizona) which has been at the forefront of this field.  As this field grows, we will use this site as a portal for access to works in the Mathematical NeuroOncology field from the Swanson Lab and beyond.

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Our focus is on: 1) predicting patient-specific tumor growth, 2) seeking patient-specific markers of tumor progression, and, 3) identifying predictors of response to therapy in individual patients.

Brain Tumors–Gliomas

Gliomas are diffuse and invasive brain tumors with the nefarious ability to recur despite extensive surgical resection. Chemotherapies are also seldom successful due to hindrance by the intricate capillary structure of the blood brain barrier. Based on a simple mathematical model of glioma growth and diffusion,  below is a simulated prediction of the degree to which MRI under estimates the actual extent of diffuse invasion of the brain by glioma cells.


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