[HTML][HTML] Mathematical modeling of brain metastases growth and response to therapies: A review

B Ocaña-Tienda, VM Pérez-García - Mathematical Biosciences, 2024 - Elsevier
Brain metastases (BMs) are the most common intracranial tumor type and a significant
health concern, affecting approximately 10% to 30% of all oncological patients. Although …

Data-driven spatio-temporal modelling of glioblastoma

ACS Jørgensen, CS Hill, M Sturrock… - Royal Society …, 2023 - royalsocietypublishing.org
Mathematical oncology provides unique and invaluable insights into tumour growth on both
the microscopic and macroscopic levels. This review presents state-of-the-art modelling …

Intra-tumor heterogeneity and its impact on cytotoxic therapy in a two-dimensional vascular tumor growth model

I Lampropoulos, M Charoupa… - Chemical Engineering …, 2022 - Elsevier
We study the effect of intra-tumor heterogeneity on the dynamics of a growing tumor, utilizing
a two-dimensional continuum model. The cancerous phase is divided into two sub-phases …

Radiation necrosis after radiation therapy treatment of brain metastases: A computational approach

B Ocaña-Tienda, O León-Triana… - PLOS Computational …, 2024 - journals.plos.org
Metastasis is the process through which cancer cells break away from a primary tumor,
travel through the blood or lymph system, and form new tumors in distant tissues. One of the …

Growth exponents reflect evolutionary processes and treatment response in brain metastases

B Ocaña-Tienda, J Pérez-Beteta… - npj Systems Biology …, 2023 - nature.com
Tumor growth is the result of the interplay of complex biological processes in huge numbers
of individual cells living in changing environments. Effective simple mathematical laws have …

AMBER: A Modular Model for Tumor Growth, Vasculature and Radiation Response

LV Kunz, JJ Bosque, M Nikmaneshi… - Bulletin of Mathematical …, 2024 - Springer
Computational models of tumor growth are valuable for simulating the dynamics of cancer
progression and treatment responses. In particular, agent-based models (ABMs) tracking …

Characterising cancer cell responses to cyclic hypoxia using mathematical modelling

GL Celora, R Nixson, JM Pitt-Francis, PK Maini… - Bulletin of Mathematical …, 2024 - Springer
In vivo observations show that oxygen levels in tumours can fluctuate on fast and slow
timescales. As a result, cancer cells can be periodically exposed to pathologically low …

On optimal temozolomide scheduling for slowly growing glioblastomas

B Segura-Collar, J Jiménez-Sánchez… - Neuro-Oncology …, 2022 - academic.oup.com
Background Temozolomide (TMZ) is an oral alkylating agent active against gliomas with a
favorable toxicity profile. It is part of the standard of care in the management of glioblastoma …

Spatiotemperal Dynamics of Osteoarthritis: Bridging Insights from Bench to Bedside

X Fan, H Xu, I Prasadam, AR Sun, X Wu… - Aging and …, 2024 - eprints.qut.edu.au
Osteoarthritis (OA) is a multifaceted degenerative joint disorder affected by various risk
factors such as age, mechanical stress, inflammation, and metabolic influences. These …

Modelling the effect of vascular status on tumour evolution and outcome after thermal therapy

JJ Bosque, GF Calvo, MC Navarro - Applied Mathematical Modelling, 2022 - Elsevier
Microscale oxygenation plays a prominent role in tumour progression. Spatiotemporal
variability of oxygen distribution in the tumour microenvironment contributes to cellular …