Biologically-based mathematical modeling of tumor vasculature and angiogenesis via time-resolved imaging data
Simple Summary The recruitment of new vasculature via angiogenesis is a critical
component of tumor development, which fundamentally influences tumor growth and …
component of tumor development, which fundamentally influences tumor growth and …
Tumor evolution models of phase-field type with nonlocal effects and angiogenesis
M Fritz - Bulletin of Mathematical Biology, 2023 - Springer
In this survey article, a variety of systems modeling tumor growth are discussed. In
accordance with the hallmarks of cancer, the described models incorporate the primary …
accordance with the hallmarks of cancer, the described models incorporate the primary …
Sensitivity analysis of a multi‐physics model for the vascular microenvironment
The vascular microenvironment is the scale at which microvascular transport, interstitial
tissue properties and cell metabolism interact. The vascular microenvironment has been …
tissue properties and cell metabolism interact. The vascular microenvironment has been …
A mesoscale computational model for microvascular oxygen transfer
L Possenti, A Cicchetti, R Rosati, D Cerroni… - Annals of Biomedical …, 2021 - Springer
We address a mathematical model for oxygen transfer in the microcirculation. The model
includes blood flow and hematocrit transport coupled with the interstitial flow, oxygen …
includes blood flow and hematocrit transport coupled with the interstitial flow, oxygen …
Modeling and simulation of vascular tumors embedded in evolving capillary networks
In this work, we present a coupled 3D–1D model of solid tumor growth within a dynamically
changing vascular network to facilitate realistic simulations of angiogenesis. Additionally, the …
changing vascular network to facilitate realistic simulations of angiogenesis. Additionally, the …
Modeling hypoxia-induced radiation resistance and the impact of radiation sources
Hypoxia contributes significantly to resistance in radiotherapy. Our research rigorously
examines the influence of microvascular morphology on radiotherapy outcome, specifically …
examines the influence of microvascular morphology on radiotherapy outcome, specifically …
Geometrically reduced modelling of pulsatile flow in perivascular networks
Flow of cerebrospinal fluid in perivascular spaces is a key mechanism underlying brain
transport and clearance. In this paper, we present a mathematical and numerical formalism …
transport and clearance. In this paper, we present a mathematical and numerical formalism …
[HTML][HTML] Cerebral perfusion simulation using realistically generated synthetic trees for healthy and stroke patients
HC Rundfeldt, CM Lee, H Lee, KH Jung… - Computer Methods and …, 2024 - Elsevier
Background and objective Cerebral vascular diseases are among the most burdensome
diseases faced by society. However, investigating the pathophysiology of diseases as well …
diseases faced by society. However, investigating the pathophysiology of diseases as well …
Modeling reactive hyperemia to Better Understand and assess microvascular function: a review of techniques
A Coccarelli, MD Nelson - Annals of Biomedical Engineering, 2023 - Springer
Reactive hyperemia is a well-established technique for the non-invasive evaluation of the
peripheral microcirculatory function, measured as the magnitude of limb re-perfusion after a …
peripheral microcirculatory function, measured as the magnitude of limb re-perfusion after a …
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network
In this work, we present and analyze a mathematical model for tumor growth incorporating
ECM erosion, interstitial flow, and the effect of vascular flow and nutrient transport. The …
ECM erosion, interstitial flow, and the effect of vascular flow and nutrient transport. The …