000015035 001__ 15035
000015035 005__ 20161115100209.0
000015035 04107 $$aeng
000015035 046__ $$k2016-08-21
000015035 100__ $$aFeng, Xi-Qiao
000015035 24500 $$aBiochemomechanical poroelastic theory of tumor growth

000015035 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015035 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015035 506__ $$arestricted
000015035 520__ $$2eng$$aTumor growth is a complicated process involving genetic mutation, biochemical regulation, and mechanical deformation. In this paper, a thermodynamics-based nonlinear poroelastic model is established to interrogate the coupling among the mechanical, chemical, and biological mechanisms underpinning the growth of avascular tumors. A volumetric growth law accounting for mechano-chemo-biological coupling is proposed to describe the development of solid tumors. The regulating roles of stresses and nutrient transport in the growth of tumor spheroids are revealed under different surrounding environments. We show that the mechano-chemo-biological coupling triggers anisotropic and heterogeneous growth, responsible for the formation of layered structures in growing tumors. There exists a steady state, in which tumor growth is balanced by resorption. A phase diagram is constructed to illustrate how the elastic modulus and thickness of the confinements jointly dictate the volume of tumors at the steady state. The results are in consistency with relevant experimental results.

000015035 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015035 653__ $$a

000015035 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015035 720__ $$aFeng, Xi-Qiao
000015035 8560_ $$ffischerc@itam.cas.cz
000015035 8564_ $$s140027$$uhttps://invenio.itam.cas.cz/record/15035/files/TS.MS05-2.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 258, code TS.MS05-2.04
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000015035 962__ $$r13812
000015035 980__ $$aPAPER