Lyapunov stability of competitive cells dynamics in tumor mechanobiology  

作　　者：Angelo Rosario Carotenuto Arsenio Cutolo Stefania Palumbo Massimiliano Fraldi 

机构地区：[1]Department of Structures for Engineering and Architecture,University of Napoli Federico II,Napoli,Italy

出　　处：《Acta Mechanica Sinica》2021年第2期244-263,共20页力学学报（英文版）

基　　金：M.F.,A.C.and S.P.acknowledge the Italian Ministry of Education,University and Research(MIUR)(Grants ARS01-01384-PROSCAN and PRIN 201720177TTP3S).A.R.C.acknowledges the support from PON-AIM 1849854-1.

摘　　要：Poromechanics plays a key role in modelling hard and soft tissue behaviours,by providing a thermodynamic framework in which chemo-mechanical mutual interactions among fluid and solid constituents can be consistently rooted,at different scale levels.In this context,how different biological species(including cells,extra-cellular components and chemical metabolites)interplay within complex environments is studied for characterizing the mechanobiology of tumor growth,governed by intra-tumoral residual stresses that initiate mechanotransductive processes deregulating normal tissue homeostasis and leading to tissue remodelling.Despite the coupling between tumor poroelasticity and interspecific competitive dynamics has recently highlighted how microscopic cells and environment interactions influence growth-associated stresses and tumor pathophysiology,the nonlinear interlacing among biochemical factors and mechanics somehow hindered the possibility of gaining qualitative insights into cells dynamics.Motivated by this,in the present work we recover the linear poroelasticity in order to benefit of a reduced complexity,so first deriving the well-known Lyapunov stability criterion from the thermodynamic dissipation principle and then analysing the stability of the mechanical competition among cells fighting for common space and resources during cancer growth and invasion.At the end,the linear poroelastic model enriched by interspecific dynamics is also exploited to show how growth anisotropy can alter the stress field in spherical tumor masses,by thus indirectly affecting cell mechano-sensing.

关 键 词：Tumor growth Poroelasticity Cells competition Volterra-Lotka dynamics Stability 

分 类 号：Q61[生物学—生物物理学]