Computational modeling of healing: an application of the material force method.

Abstract:

:The basic aim of the present contribution is the qualitative simulation of healing phenomena typically encountered in hard and soft tissue mechanics. The mechanical framework is provided by the theory of open system thermodynamics, which will be formulated in the spatial as well as in the material motion context. While the former typically aims at deriving the density and the spatial motion deformation field in response to given spatial forces, the latter will be applied to determine the material forces in response to a given density and material deformation field. We derive a general computational framework within the finite element context that will serve to evaluate both the spatial and the material motion problem. However, once the spatial motion problem has been solved, the solution of the material motion problem represents a mere post-processing step and is thus extremely cheap from a computational point of view. The underlying algorithm will be elaborated systematically by means of two prototype geometries subjected to three different representative loading scenarios, tension, torsion, and bending. Particular focus will be dedicated to the discussion of the additional information provided by the material force method. Since the discrete material node point forces typically point in the direction of potential material deposition, they can be interpreted as a driving force for the healing mechanism.

authors

Kuhl E,Steinmann P

doi

10.1007/s10237-003-0034-3

subject

Has Abstract

pub_date

2004-06-01 00:00:00

pages

187-203

issue

4

eissn

1617-7959

issn

1617-7940

journal_volume

2

pub_type

杂志文章
  • A multiscale mechanobiological model of bone remodelling predicts site-specific bone loss in the femur during osteoporosis and mechanical disuse.

    abstract::We propose a multiscale mechanobiological model of bone remodelling to investigate the site-specific evolution of bone volume fraction across the midshaft of a femur. The model includes hormonal regulation and biochemical coupling of bone cell populations, the influence of the microstructure on bone turnover rate, and...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-015-0705-x

    authors: Lerebours C,Buenzli PR,Scheiner S,Pivonka P

    更新日期:2016-02-01 00:00:00

  • Multiphoton microscopy observations of 3D elastin and collagen fiber microstructure changes during pressurization in aortic media.

    abstract::Elastin and collagen fibers play important roles in the mechanical properties of aortic media. Because knowledge of local fiber structures is required for detailed analysis of blood vessel wall mechanics, we investigated 3D microstructures of elastin and collagen fibers in thoracic aortas and monitored changes during ...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-016-0851-9

    authors: Sugita S,Matsumoto T

    更新日期:2017-06-01 00:00:00

  • Creep and stress relaxation of human red cell membrane.

    abstract::In contrast to most mechanical properties of the red cell, experimental information on stress relaxation (SR) of the membrane skeleton is scarce. On the other hand, many postulates or assumptions as to the value of the characteristic time of SR [Formula: see text] can be found in the literature. Here, an experiment is...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-016-0813-2

    authors: Fischer TM

    更新日期:2017-02-01 00:00:00

  • Enhanced cancer cell invasion caused by fibroblasts when fluid flow is present.

    abstract::It has been demonstrated that interstitial fluid (IF) flow can play a crucial role in tumor cell progression. Swartz and collaborators (Cancer Cell 11: 526-538, Shields et al. 2007) demonstrated that cells that secrete the lymphoid homing chemokines CCL21/CCL19 and express their receptor CCR7 could use flow to bias th...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-019-01128-2

    authors: Urdal J,Waldeland JO,Evje S

    更新日期:2019-08-01 00:00:00

  • The influence of fluid shear stress on the remodeling of the embryonic primary capillary plexus.

    abstract::The primary capillary plexus in early yolk sacs is remodeled into matured vitelline vessels aligned in the direction of blood flow at the onset of cardiac contraction. We hypothesized that the influence of fluid shear stress on cellular behaviors may be an underlying mechanism by which some existing capillary channels...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-005-0001-2

    authors: Blatnik JS,Schmid-Schönbein GW,Sung LA

    更新日期:2005-12-01 00:00:00

  • Modeling initial strain distribution in soft tissues with application to arteries.

    abstract::A general theory for computing and identifying the stress field in a residually stressed tissue is presented in this paper. The theory is based on the assumption that a stress free state is obtained by letting each point deform independently of its adjacent points. This local unloading represents an initial strain, an...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-005-0008-8

    authors: Olsson T,Stålhand J,Klarbring A

    更新日期:2006-03-01 00:00:00

  • The effect of the elongation of the proximal aorta on the estimation of the aortic wall distensibility.

    abstract::The compliance of the proximal aortic wall is a major determinant of cardiac afterload. Aortic compliance is often estimated based on cross-sectional area changes over the pulse pressure, under the assumption of a negligible longitudinal stretch during the pulse. However, the proximal aorta is subjected to significant...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-020-01371-y

    authors: Pagoulatou SZ,Ferraro M,Trachet B,Bikia V,Rovas G,Crowe LA,Vallée JP,Adamopoulos D,Stergiopulos N

    更新日期:2020-07-31 00:00:00

  • Small scale membrane mechanics.

    abstract::Large scale changes to lipid bilayer shapes are well represented by the Helfrich model. However, there are membrane processes that take place at smaller length scales that this model cannot address. In this work, we present a one-dimensional continuum model that captures the mechanics of the lipid bilayer membrane at ...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-013-0528-6

    authors: Rangamani P,Benjamini A,Agrawal A,Smit B,Steigmann DJ,Oster G

    更新日期:2014-08-01 00:00:00

  • The mechanical behaviour of chondrocytes predicted with a micro-structural model of articular cartilage.

    abstract::The integrity of articular cartilage depends on the proper functioning and mechanical stimulation of chondrocytes, the cells that synthesize extracellular matrix and maintain tissue health. The biosynthetic activity of chondrocytes is influenced by genetic factors, environmental influences, extracellular matrix compos...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-006-0016-3

    authors: Han SK,Federico S,Grillo A,Giaquinta G,Herzog W

    更新日期:2007-04-01 00:00:00

  • Modeling active muscle contraction in mitral valve leaflets during systole: a first approach.

    abstract::The present study addresses the effect of muscle activation contributions to mitral valve leaflet response during systole. State-of-art passive hyperelastic material modeling is employed in combination with a simple active stress part. Fiber families are assumed in the leaflets: one defined by the collagen and one def...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-010-0215-9

    authors: Skallerud B,Prot V,Nordrum IS

    更新日期:2011-02-01 00:00:00

  • Infant brain subjected to oscillatory loading: material differentiation, properties, and interface conditions.

    abstract::Past research into brain injury biomechanics has focussed on short duration impulsive events as opposed to the oscillatory loadings associated with Shaken Baby Syndrome (SBS). A series of 2D finite element models of an axial slice of the infant head were created to provide qualitative information on the behaviour of t...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-007-0079-9

    authors: Couper Z,Albermani F

    更新日期:2008-04-01 00:00:00

  • Simulation of cell-substrate traction force dynamics in response to soluble factors.

    abstract::Finite element (FE) simulations of contractile responses of vascular muscular thin films (vMTFs) and endothelial cells resting on an array of microposts under stimulation of soluble factors were conducted in comparison with experimental measurements reported in the literature. Two types of constitutive models were emp...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-017-0886-6

    authors: Liu T

    更新日期:2017-08-01 00:00:00

  • Finite element analysis of the pressure-induced deformation of Schlemm's canal endothelial cells.

    abstract::The endothelial cells lining the inner wall of Schlemm's canal (SC) in the eye are relatively unique in that they support a basal-to-apical pressure gradient that causes these cells to deform, creating giant vacuoles and transendothelial pores through which the aqueous humor flows. Glaucoma is associated with an incre...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-014-0640-2

    authors: Vargas-Pinto R,Lai J,Gong H,Ethier CR,Johnson M

    更新日期:2015-08-01 00:00:00

  • A new model to simulate the elastic properties of mineralized collagen fibril.

    abstract::Bone, because of its hierarchical composite structure, exhibits an excellent combination of stiffness and toughness, which is due substantially to the structural order and deformation at the smaller length scales. Here, we focus on the mineralized collagen fibril, consisting of hydroxyapatite plates with nanometric di...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-010-0223-9

    authors: Yuan F,Stock SR,Haeffner DR,Almer JD,Dunand DC,Brinson LC

    更新日期:2011-04-01 00:00:00

  • Modelling secondary lymphatic valves with a flexible vessel wall: how geometry and material properties combine to provide function.

    abstract::A three-dimensional finite-element fluid/structure interaction model of an intravascular lymphatic valve was constructed, and its properties were investigated under both favourable and adverse pressure differences, simulating valve opening and valve closure, respectively. The shear modulus of the neo-Hookean material ...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-020-01325-4

    authors: Bertram CD

    更新日期:2020-12-01 00:00:00

  • Influence of power-law rheology on cell injury during microbubble flows.

    abstract::The reopening of fluid-occluded pulmonary airways generates microbubble flows which impart complex hydrodynamic stresses to the epithelial cells lining airway walls. In this study we used boundary element solutions and finite element techniques to investigate how cell rheology influences the deformation and injury of ...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-009-0175-0

    authors: Dailey HL,Ghadiali SN

    更新日期:2010-06-01 00:00:00

  • Computational neurotrauma--design, simulation, and analysis of controlled cortical impact model.

    abstract::The controlled cortical impact (CCI) model is widely used in many laboratories to study traumatic brain injury (TBI). Although external impact parameters during CCI tests could be clearly defined, little is known about the internal tissue-level mechanical responses of the rat brain. Furthermore, the external impact pa...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-010-0212-z

    authors: Mao H,Yang KH,King AI,Yang K

    更新日期:2010-12-01 00:00:00

  • A microfluidic device with spatiotemporal wall shear stress and ATP signals to investigate the intracellular calcium dynamics in vascular endothelial cells.

    abstract::Intracellular calcium dynamics plays an important role in the regulation of vascular endothelial cellular functions. In order to probe the intracellular calcium dynamic response under synergistic effect of wall shear stress (WSS) and adenosine triphosphate (ATP) signals, a novel microfluidic device, which provides the...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-018-1076-x

    authors: Chen ZZ,Yuan WM,Xiang C,Zeng DP,Liu B,Qin KR

    更新日期:2019-02-01 00:00:00

  • The effect of collagen degradation on chondrocyte volume and morphology in bovine articular cartilage following a hypotonic challenge.

    abstract::Collagen degradation is one of the early signs of osteoarthritis. It is not known how collagen degradation affects chondrocyte volume and morphology. Thus, the aim of this study was to investigate the effect of enzymatically induced collagen degradation on cell volume and shape changes in articular cartilage after a h...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-012-0409-4

    authors: Turunen SM,Lammi MJ,Saarakkala S,Han SK,Herzog W,Tanska P,Korhonen RK

    更新日期:2013-06-01 00:00:00

  • On the mechanics of myopia and its influence on retinal detachment.

    abstract::A mechanics-based mathematical model of retinal detachment due to the geometric changes of the eye associated with the evolution of myopia is developed. This includes deformation of the retina due to biological growth of the retina, as well as elastic deformation imposed on the retina by the myopic change in shape of ...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-019-01234-1

    authors: Lakawicz JM,Bottega WJ,Fine HF,Prenner JL

    更新日期:2020-04-01 00:00:00

  • Young's modulus of elasticity of Schlemm's canal endothelial cells.

    abstract::Schlemm's canal (SC) endothelial cells are likely important in the physiology and pathophysiology of the aqueous drainage system of the eye, particularly in glaucoma. The mechanical stiffness of these cells determines, in part, the extent to which they can support a pressure gradient and thus can be used to place limi...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-009-0156-3

    authors: Zeng D,Juzkiw T,Read AT,Chan DW,Glucksberg MR,Ethier CR,Johnson M

    更新日期:2010-02-01 00:00:00

  • The combined impact of tissue heterogeneity and fixed charge for models of cartilage: the one-dimensional biphasic swelling model revisited.

    abstract::Articular cartilage is a complex, anisotropic, stratified tissue with remarkable resilience and mechanical properties. It has been subject to extensive modelling as a multiphase medium, with many recent studies examining the impact of increasing detail in the representation of this tissue's fine scale structure. Howev...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-019-01123-7

    authors: Klika V,Whiteley JP,Brown CP,Gaffney EA

    更新日期:2019-08-01 00:00:00

  • Inferring spatial variations of microstructural properties from macroscopic mechanical response.

    abstract::Disease alters tissue microstructure, which in turn affects the macroscopic mechanical properties of tissue. In elasticity imaging, the macroscopic response is measured and is used to infer the spatial distribution of the elastic constitutive parameters. When an empirical constitutive model is used, these parameters c...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-016-0831-0

    authors: Liu T,Hall TJ,Barbone PE,Oberai AA

    更新日期:2017-04-01 00:00:00

  • Simulation of multi-stage nonlinear bone remodeling induced by fixed partial dentures of different configurations: a comparative clinical and numerical study.

    abstract::This paper aimed to develop a clinically validated bone remodeling algorithm by integrating bone's dynamic properties in a multi-stage fashion based on a four-year clinical follow-up of implant treatment. The configurational effects of fixed partial dentures (FPDs) were explored using a multi-stage remodeling rule. Th...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-016-0826-x

    authors: Liao Z,Yoda N,Chen J,Zheng K,Sasaki K,Swain MV,Li Q

    更新日期:2017-04-01 00:00:00

  • A coupled model of neovessel growth and matrix mechanics describes and predicts angiogenesis in vitro.

    abstract::During angiogenesis, sprouting microvessels interact with the extracellular matrix (ECM) by degrading and reorganizing the matrix, applying traction forces, and producing deformation. Morphometric features of the resulting microvascular network are affected by the interaction between the matrix and angiogenic microves...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-014-0635-z

    authors: Edgar LT,Maas SA,Guilkey JE,Weiss JA

    更新日期:2015-08-01 00:00:00

  • Numerical modeling of the cupular displacement and motion of otoconia particles in a semicircular canal.

    abstract::Balance is achieved and maintained by a balance system called a labyrinth that is composed of three semicircular canals and the otolith organs that sense linear gravity and acceleration. Within each semicircular canal, there is a gelatinous structure called the cupula, which is deformed under the influence of the surr...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-017-0912-8

    authors: Djukic T,Filipovic N

    更新日期:2017-10-01 00:00:00

  • Sensitivity analysis and parametric study of elastic properties of an unidirectional mineralized bone fibril-array using mean field methods.

    abstract::The key parameters determining the elastic properties of an unidirectional mineralized bone fibril-array decomposed in two further hierarchical levels are investigated using mean field methods. Modeling of the elastic properties of mineralized micro- and nanostructures requires accurate information about the underlyin...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-010-0190-1

    authors: Reisinger AG,Pahr DH,Zysset PK

    更新日期:2010-10-01 00:00:00

  • The influence of mechanical stretching on mitosis, growth, and adipose conversion in adipocyte cultures.

    abstract::The mechanotransduction of adipocytes is not well characterized in the literature. In this study, we employ stochastic modeling fitted to experiments for characterizing the influence of mechanical stretching delivered to adipocyte monolayers on the probabilities of commitment to the adipocyte lineage, mitosis, and gro...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-011-0371-6

    authors: Shoham N,Gefen A

    更新日期:2012-09-01 00:00:00

  • Flow plate separation of cells based on elastic properties: a computational study.

    abstract::Medical studies have consistently shown that the best defense against cancer is early detection. Due to this, many efforts have been made to develop methods of screening patient blood quickly and cheaply. These methods range from separation via differences in size, electrostatic potential, chemical potential, antibody...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-018-1093-9

    authors: Becton M,Averett RD,Wang X

    更新日期:2019-04-01 00:00:00

  • Assessment of boundary conditions for CFD simulation in human carotid artery.

    abstract::Computational fluid dynamics (CFD) is an increasingly used method for investigation of hemodynamic parameters and their alterations under pathological conditions, which are important indicators for diagnosis of cardiovascular disease. In hemodynamic simulation models, the employment of appropriate boundary conditions ...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-018-1045-4

    authors: Xu P,Liu X,Zhang H,Ghista D,Zhang D,Shi C,Huang W

    更新日期:2018-12-01 00:00:00