# Free Boundary Problems Associated with Multiscale Tumor Models

Mathematical Modelling of Natural Phenomena (2009)

- Volume: 4, Issue: 3, page 134-155
- ISSN: 0973-5348

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topFriedman, A.. "Free Boundary Problems Associated with Multiscale Tumor Models." Mathematical Modelling of Natural Phenomena 4.3 (2009): 134-155. <http://eudml.org/doc/222390>.

@article{Friedman2009,

abstract = {
The present paper introduces a tumor
model with two time scales, the time t during which the tumor
grows and the cycle time of individual cells. The model also
includes the effects of gene mutations on the population density
of the tumor cells. The model is formulated as a free boundary
problem for a coupled system of elliptic, parabolic and hyperbolic
equations within the tumor region, with nonlinear and nonlocal
terms. Existence and uniqueness theorems are proved, and
properties of the free boundary are established.
},

author = {Friedman, A.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {free boundary problems; system of PDEs;
tumor; cell cycle; free boundary problem; tumor growth},

language = {eng},

month = {6},

number = {3},

pages = {134-155},

publisher = {EDP Sciences},

title = {Free Boundary Problems Associated with Multiscale Tumor Models},

url = {http://eudml.org/doc/222390},

volume = {4},

year = {2009},

}

TY - JOUR

AU - Friedman, A.

TI - Free Boundary Problems Associated with Multiscale Tumor Models

JO - Mathematical Modelling of Natural Phenomena

DA - 2009/6//

PB - EDP Sciences

VL - 4

IS - 3

SP - 134

EP - 155

AB -
The present paper introduces a tumor
model with two time scales, the time t during which the tumor
grows and the cycle time of individual cells. The model also
includes the effects of gene mutations on the population density
of the tumor cells. The model is formulated as a free boundary
problem for a coupled system of elliptic, parabolic and hyperbolic
equations within the tumor region, with nonlinear and nonlocal
terms. Existence and uniqueness theorems are proved, and
properties of the free boundary are established.

LA - eng

KW - free boundary problems; system of PDEs;
tumor; cell cycle; free boundary problem; tumor growth

UR - http://eudml.org/doc/222390

ER -

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