The mathematics of cancer: integrating quantitative models

PM Altrock, LL Liu, F Michor - Nature Reviews Cancer, 2015 - nature.com
Mathematical modelling approaches have become increasingly abundant in cancer
research. The complexity of cancer is well suited to quantitative approaches as it provides …

The 2019 mathematical oncology roadmap

RC Rockne, A Hawkins-Daarud, KR Swanson… - Physical …, 2019 - iopscience.iop.org
Whether the nom de guerre is Mathematical Oncology, Computational or Systems Biology,
Theoretical Biology, Evolutionary Oncology, Bioinformatics, or simply Basic Science, there is …

Sex differences in GBM revealed by analysis of patient imaging, transcriptome, and survival data

W Yang, NM Warrington, SJ Taylor… - Science translational …, 2019 - science.org
Sex differences in the incidence and outcome of human disease are broadly recognized but,
in most cases, not sufficiently understood to enable sex-specific approaches to treatment …

Classical mathematical models for description and prediction of experimental tumor growth

S Benzekry, C Lamont, A Beheshti… - PLoS computational …, 2014 - journals.plos.org
Despite internal complexity, tumor growth kinetics follow relatively simple laws that can be
expressed as mathematical models. To explore this further, quantitative analysis of the most …

The biology and mathematical modelling of glioma invasion: a review

JCL Alfonso, K Talkenberger… - Journal of the …, 2017 - royalsocietypublishing.org
Adult gliomas are aggressive brain tumours associated with low patient survival rates and
limited life expectancy. The most important hallmark of this type of tumour is its invasive …

Advances in glioblastoma multiforme treatment: new models for nanoparticle therapy

E Ozdemir-Kaynak, AA Qutub… - Frontiers in physiology, 2018 - frontiersin.org
The most lethal form of brain cancer, glioblastoma multiforme, is characterized by rapid
growth and invasion facilitated by cell migration and degradation of the extracellular matrix …

Incidence of tumour progression and pseudoprogression in high-grade gliomas: a systematic review and meta-analysis

AW Abbasi, HE Westerlaan, GA Holtman… - Clinical …, 2018 - Springer
Background High-grade gliomas are the most common primary brain tumours.
Pseudoprogression describes the false appearance of radiation-induced progression on …

Tumor growth rate is an early indicator of antitumor drug activity in phase I clinical trials

C Ferté, M Fernandez, A Hollebecque, S Koscielny… - Clinical Cancer …, 2014 - AACR
Abstract Purpose: Response Evaluation Criteria in Solid Tumors (RECIST) evaluation does
not take into account the pretreatment tumor kinetics and may provide incomplete …

Nanomedicine for glioblastoma: Progress and future prospects

I Khan, MH Baig, S Mahfooz, MA Imran, MI Khan… - Seminars in Cancer …, 2022 - Elsevier
Glioblastoma is the most aggressive form of brain tumor, accounting for the highest mortality
and morbidity rates. Current treatment for patients with glioblastoma includes maximal safe …

Integration of machine learning and mechanistic models accurately predicts variation in cell density of glioblastoma using multiparametric MRI

N Gaw, A Hawkins-Daarud, LS Hu, H Yoon, L Wang… - Scientific reports, 2019 - nature.com
Glioblastoma (GBM) is a heterogeneous and lethal brain cancer. These tumors are followed
using magnetic resonance imaging (MRI), which is unable to precisely identify tumor cell …