Hypoxic Cell Waves Around Necrotic Cores in Glioblastoma: A Biomathematical Model and Its Therapeutic Implications

• DOI: 10.1007/s11538-012-9786-1
• Publication Date: 2012-11-13T22:50:19Z
• Authors: Alicia Martínez-G...; Gabriel F. Calvo; Luis A. Pérez Rom...; Víctor M. Pérez-G...
• Keywords: Hypoxia

Glioblastoma is a rapidly evolving high-grade astrocytoma that distinguished pathologically from lower grade gliomas by the presence of necrosis and microvascular hyperplasia. Necrotic areas are typically surrounded hypercellular regions known as "pseudopalisades" originated local tumor vessel occlusions induce collective cellular migration events. This leads to formation waves cells actively migrating away central hypoxia. We present mathematical model incorporates interplay among two cell phenotypes, necrotic core oxygen distribution. Our simulations reveal traveling wave reproduces observed histologic patterns pseudopalisades. Additional equations show preventing collapse microvessels slower glioma invasion, fact might be exploited for therapeutic purposes.