Modelling the role of surface stress on the kinetics of tissue growth in confined geometries

Gamsjäger, Ernst; Bidan, Cécile M.; Fischer, Franz Dieter; Fratzl, Peter; Dunlop, John W. C.

doi:10.1016/j.actbio.2012.10.020

Cited by 61 publications

(72 citation statements)

References 45 publications

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“…In line with our findings of correlating ECM amount and 3D tissue growth, an osteogenic cell line MCT3T-E1 previously used in similar experiments [35,36,42,52] was observed to secrete a very high amount of collagen (compared to MSC, data not shown) and subsequently rapidly created a stable 3D tissue-like structures inside various shaped macroscopic channels [39]. Nevertheless, both cell types, MC3T3-E1 and osteogenic differentiated MSC, showed an initial linear growth phase which turned into a plateau phase of growth after about 14 days.…”

Section: Discussionsupporting

confidence: 89%

Availability of extracellular matrix biopolymers and differentiation state of human mesenchymal stem cells determine tissue-like growth in vitro

Herklotz¹,

Prewitz²,

Bidan³

et al. 2015

Biomaterials

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Section: Discussionsupporting

confidence: 89%

Availability of extracellular matrix biopolymers and differentiation state of human mesenchymal stem cells determine tissue-like growth in vitro

Herklotz¹,

Prewitz²,

Bidan³

et al. 2015

Biomaterials

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“…We use the formalism for growth outlined in [35,36] but assume that the growing body behaves like an ideal fluid, with a defined surface stress, g (for details, see [14]). This relies on the assumption that there are three separable timescales, that of growth, remodelling and elasticity.…”

Section: Formulation Of the Model Hypothesesmentioning

confidence: 99%

“…We do this in the following using the equation of growth _ g ¼ f(s À me 0 I) from [35]. Here, g is the growth eigenstrain tensor, s the stress tensor which is given as 2pI, where I is the unity tensor, Àme 0 I the chemical potential tensor and f a mobility coefficient.…”

Section: Formulation Of the Model Hypothesesmentioning

confidence: 99%

“…[29][30][31]). We start with a simple approach fully compatible with thermodynamics [32][33][34][35][36] which considers both a biochemical driving force (in the form of a chemical potential) and a mechanical one (including volume stresses as well as surface stresses). Then we assume that local tissue remodelling is sufficiently rapid compared with the growth rate, so that the tissue can essentially be regarded as an ideal fluid on the timescale of growth.…”

Section: Introductionmentioning

confidence: 99%

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Tissue growth controlled by geometric boundary conditions: a simple model recapitulating aspects of callus formation and bone healing

Fischer

Zickler

Dunlop

et al. 2015

J. R. Soc. Interface.

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The shape of tissues arises from a subtle interplay between biochemical driving forces, leading to cell growth, division and extracellular matrix formation, and the physical constraints of the surrounding environment, giving rise to mechanical signals for the cells. Despite the inherent complexity of such systems, much can still be learnt by treating tissues that constantly remodel as simple fluids. In this approach, remodelling relaxes all internal stresses except for the pressure which is counterbalanced by the surface stress. Our model is used to investigate how wettable substrates influence the stability of tissue nodules. It turns out for a growing tissue nodule in free space, the model predicts only two states: either the tissue shrinks and disappears, or it keeps growing indefinitely. However, as soon as the tissue wets a substrate, stable equilibrium configurations become possible. Furthermore, by investigating more complex substrate geometries, such as tissue growing at the end of a hollow cylinder, we see features reminiscent of healing processes in long bones, such as the existence of a critical gap size above which healing does not occur. Despite its simplicity, the model may be useful in describing various aspects related to tissue growth, including biofilm formation and cancer metastases.

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“…3D in vitro bone models have been proposed to aid in bridging the gap between 2D culture and animal models for diseases and medical conditions such as osteomyelitis [33], bone fracture healing [34, 35], and, as will be discussed in this review, tumor metastases. In designing such TECs, studies investigating properties of the constructs indicated that characteristics including rigidity [32, 36], pore size [37, 38], pore shape [39], and curvature [40] all affect cell behavior. Tissue engineers have been working toward creating TECs with precisely controlled physicochemical, mechanical, and structural properties that not only replicate human bone but also allow for the systematic and parametric study of how these factors influence disease progression and drug response.…”

Section: D Bone Modelsmentioning

confidence: 99%

Engineering 3D Models of Tumors and Bone to Understand Tumor-Induced Bone Disease and Improve Treatments

Kwakwa

Vanderburgh

Guelcher

et al. 2017

Curr Osteoporos Rep

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Purpose of Review Bone is a structurally unique microenvironment that presents many challenges for the development of 3D models for studying bone physiology and diseases, including cancer. As researchers continue to investigate the interactions within the bone microenvironment, the development of 3D models of bone has become critical. Recent Findings 3D models have been developed that replicate some properties of bone, but have not fully reproduced the complex structural and cellular composition of the bone microenvironment. This review will discuss 3D models including polyurethane, silk, and collagen scaffolds that have been developed to study tumor-induced bone disease. In addition, we discuss 3D printing techniques used to better replicate the structure of bone. Summary 3D models that better replicate the bone microenvironment will help researchers better understand the dynamic interactions between tumors and the bone microenvironment, ultimately leading to better models for testing therapeutics and predicting patient outcomes.

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Modelling the role of surface stress on the kinetics of tissue growth in confined geometries

Cited by 61 publications

References 45 publications

Availability of extracellular matrix biopolymers and differentiation state of human mesenchymal stem cells determine tissue-like growth in vitro

Availability of extracellular matrix biopolymers and differentiation state of human mesenchymal stem cells determine tissue-like growth in vitro

Tissue growth controlled by geometric boundary conditions: a simple model recapitulating aspects of callus formation and bone healing

Engineering 3D Models of Tumors and Bone to Understand Tumor-Induced Bone Disease and Improve Treatments

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