We present comprehensive mathematical modeling of radiopharmaceutical spatiotemporal
distributions within vascularized solid tumors. The novelty of the presented model is at …

A deeper understanding of the tumor microenvironment (TME) and its role in metabolic
activity at different stages of vascularized tumors can provide useful insights into cancer …

The present study examines chemotherapy by incorporating multi-scale mathematical
modeling to predict drug delivery and its effects. This approach leads to a more-realistic …

Inadequate uptake of therapeutic agents by tumor cells is still a major barrier in clinical
cancer therapy. Mathematical modeling is a powerful tool to describe and investigate the …

In this paper, we investigate the pharmacokinetics and effect of doxorubicin and cisplatin in
vascularized tumors through two-dimensional simulations. We take into account especially …

Tumor-induced angiogenesis leads to the development of leaky tumor vessels devoid of
structural and morphological integrity. Due to angiogenesis, elevated interstitial fluid …

Implementation of effective cancer treatment strategies requires consideration of how the
spatiotemporal heterogeneities within the tumor microenvironment (TME) influence tumor …

Physical properties of the microenvironment influence penetration of drugs into tumors.
Here, we develop a mathematical model to predict the outcome of chemotherapy based on …

We investigate the impact of microvascular geometry on the transport of drugs in solid
tumors, focusing on the diffusion and consumption phenomena. We embrace recent …

Delivery of anti-cancer drugs to tumor tissues, including their interstitial transport and cellular
uptake, is a complex process involving various biochemical, mechanical, and biophysical …