Analysis of a “phase transition” from tumor growth to latency

PP Delsanto, A Romano, M Scalerandi… - Physical Review E, 2000 - APS
… , it leads to four different outcomes: indefinite growth, metastasis, latency, and complete …
the dormant phase is carried on and the critical parameters for the transition to other phases are …

Phase transitions in tumor growth VI: Epithelial–Mesenchymal transition

A Guerra, DJ Rodriguez, S Montero… - Physica A: Statistical …, 2018 - Elsevier
… general aspects of the evolution of a primary tumor from avascular to metastatic stage. The
… model for tumor growth [5] with the inclusion of the epithelial–mesenchymal transition. The …

Phase transitions in tumor growth: III vascular and metastasis behavior

JA Llanos-Pérez, JA Betancourt-Mar, G Cocho… - Physica A: Statistical …, 2016 - Elsevier
tumor growth based on a chemical network model. Vascular growth and metastasis, appear
as a hard phase transition … the dynamical behavior of tumor growth according to this model. …

Phase transitions in tumor growth: V what can be expected from cancer glycolytic oscillations?

RR Martin, S Montero, E Silva, M Bizzarri… - Physica A: Statistical …, 2017 - Elsevier
Transitions phenomena far from thermodynamic equilibrium are a consequence of … tumor.
On the other hand, bifurcations in dynamical systems play a similar role to phase transitions in …

Phase transitions in tumor growth: IV relationship between metabolic rate and fractal dimension of human tumor cells

JA Betancourt-Mar, JA Llanos-Pérez, G Cocho… - Physica A: Statistical …, 2017 - Elsevier
… systems play a similar role to phase transitions in the vicinity of … of the tumor growth may
be explained by transition phenomena … equilibrium for phase transitions during tumor growth. …

Phase transitions in tumor growth VII: The effect of periodic glucose pulses and privations in a cancer model

JP Pomuceno-Orduñez, E Silva, RR Martin… - INTEGRATIVE …, 2019 - iris.uniroma1.it
Tumor glycolysis is a self-organized nonlinear mechanism that can exhibit oscillations under
certain conditions. Experimental evidence suggests that glycolytic oscillations may give …

Hypoxia induces a phase transition within a kinase signaling network in cancer cells

W Wei, Q Shi, F Remacle, L Qin… - Proceedings of the …, 2013 - National Acad Sciences
… feature of solid tumors that can alter how tumors respond to … a human-origin GBM xenograft
tumor. We attempt to understand … of as a type of phase transition. Our analysis indicates that …

The phase-field model in tumor growth

RDM Travasso, M Castro, JCRE Oliveira - Philosophical Magazine, 2011 - Taylor & Francis
… The study of solid–solid phase transitions, including elasticity in the phase-field formulations,
has been significantly developed recently. Following Khachaturyan's theory of micro-…

Age-specific incidence of cancer: Phases, transitions, and biological implications

R Meza, J Jeon, SH Moolgavkar… - Proceedings of the …, 2008 - National Acad Sciences
… Our claim is supported by molecular studies on tumor suppressor inactivation, growth rates
of premalignant neoplasms, and the analyses of colorectal cancer (CRC) and pancreatic …

Full-scale, three-dimensional simulation of early-stage tumor growth: the onset of malignancy

J Xu, G Vilanova, H Gomez - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
… nutrients for growth and a means to escape the primary tumor and … how the tumor and its
associated vasculature grow during … growth equations of our model are derived using the phase-…