The role of mechanical forces in tumor growth and therapy

RK Jain, JD Martin… - Annual review of …, 2014 - annualreviews.org
Tumors generate physical forces during growth and progression. These physical forces are
able to compress blood and lymphatic vessels, reducing perfusion rates and creating …

Soft matter models of developing tissues and tumors

D Gonzalez-Rodriguez, K Guevorkian, S Douezan… - Science, 2012 - science.org
Analogies with inert soft condensed matter—such as viscoelastic liquids, pastes, foams,
emulsions, colloids, and polymers—can be used to investigate the mechanical response of …

Coevolution of solid stress and interstitial fluid pressure in tumors during progression: implications for vascular collapse

T Stylianopoulos, JD Martin, M Snuderl, F Mpekris… - Cancer research, 2013 - AACR
The stress harbored by the solid phase of tumors is known as solid stress. Solid stress can
be either applied externally by the surrounding normal tissue or induced by the tumor itself …

Simulating tissue mechanics with agent-based models: concepts, perspectives and some novel results

P Van Liedekerke, MM Palm, N Jagiella… - Computational particle …, 2015 - Springer
In this paper we present an overview of agent-based models that are used to simulate
mechanical and physiological phenomena in cells and tissues, and we discuss underlying …

Fluidization of tissues by cell division and apoptosis

J Ranft, M Basan, J Elgeti, JF Joanny… - Proceedings of the …, 2010 - National Acad Sciences
During the formation of tissues, cells organize collectively by cell division and apoptosis. The
multicellular dynamics of such systems is influenced by mechanical conditions and can give …

Mechanical control of morphogenesis by Fat/Dachsous/Four-jointed planar cell polarity pathway

F Bosveld, I Bonnet, B Guirao, S Tlili, Z Wang… - Science, 2012 - science.org
During animal development, several planar cell polarity (PCP) pathways control tissue
shape by coordinating collective cell behavior. Here, we characterize by means of multiscale …

Three-dimensional multispecies nonlinear tumor growth—II: tumor invasion and angiogenesis

HB Frieboes, F Jin, YL Chuang, SM Wise… - Journal of theoretical …, 2010 - Elsevier
We extend the diffuse interface model developed in Wise et al.(2008) to study nonlinear
tumor growth in 3-D. Extensions include the tracking of multiple viable cell species …

The solid mechanics of cancer and strategies for improved therapy

T Stylianopoulos - Journal of biomechanical …, 2017 - asmedigitalcollection.asme.org
Tumor progression and response to treatment is determined in large part by the generation
of mechanical stresses that stem from both the solid and the fluid phase of the tumor …

Numerical simulation of a thermodynamically consistent four‐species tumor growth model

A Hawkins‐Daarud, KG van der Zee… - … journal for numerical …, 2012 - Wiley Online Library
In this paper, we develop a thermodynamically consistent four‐species model of tumor
growth on the basis of the continuum theory of mixtures. Unique to this model is the …

A review of mathematical models for the formation of vascular networks

M Scianna, CG Bell, L Preziosi - Journal of theoretical biology, 2013 - Elsevier
Two major mechanisms are involved in the formation of blood vasculature: vasculogenesis
and angiogenesis. The former term describes the formation of a capillary-like network from …