Modeling cell proliferation for simulating three-dimensional tissue morphogenesis based on a reversible network reconnection framework.

Abstract:

:Tissue morphogenesis in multicellular organisms is accompanied by proliferative cell behaviors: cell division (increase in cell number after each cell cycle) and cell growth (increase in cell volume during each cell cycle). These proliferative cell behaviors can be regulated by multicellular dynamics to achieve proper tissue sizes and shapes in three-dimensional (3D) space. To analyze multicellular dynamics, a reversible network reconnection (RNR) model has been suggested, in which each cell shape is expressed by a single polyhedron. In this study, to apply the RNR model to simulate tissue morphogenesis involving proliferative cell behaviors, we model cell proliferation based on a RNR model framework. In this model, cell division was expressed by dividing a polyhedron at a planar surface for which cell division behaviors were characterized by three quantities: timing, intracellular position, and normal direction of the dividing plane. In addition, cell growth was expressed by volume growth as a function of individual cell times within their respective cell cycles. Numerical simulations using the proposed model showed that tissues grew during successive cell divisions with several cell cycle times. During these processes, the cell number in tissues increased while maintaining individual cell size and shape. Furthermore, tissue morphology dramatically changed based on different regulations of cell division directions. Thus, the proposed model successfully provided a basis for expressing proliferative cell behaviors during morphogenesis based on a RNR model framework.

authors

Okuda S,Inoue Y,Eiraku M,Sasai Y,Adachi T

doi

10.1007/s10237-012-0458-8

subject

Has Abstract

pub_date

2013-10-01 00:00:00

pages

987-96

issue

5

eissn

1617-7959

issn

1617-7940

journal_volume

12

pub_type

杂志文章
  • Study of the combined effects of PTH treatment and mechanical loading in postmenopausal osteoporosis using a new mechanistic PK-PD model.

    abstract::One of only a few approved and available anabolic treatments for severe osteoporosis is daily injections of PTH (1-34). This drug has a specific dual action which can act either anabolically or catabolically depending on the type of administration, i.e. intermittent or continuous, respectively. In this paper, we prese...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-020-01307-6

    authors: Lavaill M,Trichilo S,Scheiner S,Forwood MR,Cooper DML,Pivonka P

    更新日期:2020-10-01 00:00:00

  • Time-dependent behavior of cartilage surrounding a metal implant for full-thickness cartilage defects of various sizes: a finite element study.

    abstract::Recently, physiological and biomechanical studies on animal models with metal implants filling full-thickness cartilage defects have resulted in good clinical outcomes. The knowledge of the time-dependent macroscopic behavior of cartilage surrounding the metal implant is essential for understanding the joint function ...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-011-0346-7

    authors: Manda K,Eriksson A

    更新日期:2012-05-01 00:00:00

  • Prediction of cell growth rate over scaffold strands inside a perfusion bioreactor.

    abstract::Mathematical and computational modeling of the dynamic process where tissue scaffolds are cultured in perfusion bioreactors is able to provide insight into the cell and tissue growth which can facilitate the design of tissue scaffolds and selection of optimal operating conditions. To date, a resolved-scale simulation ...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-014-0606-4

    authors: Hossain MS,Bergstrom DJ,Chen XB

    更新日期:2015-04-01 00:00:00

  • Inclusion-induced boundary layers in lipid vesicles.

    abstract::The equilibrium shapes of lipid vesicles are perturbed by rigid inclusions. In a two-dimensional vesicle, that may also model a cylindrically elongated tubule, the shape modifications can be determined analytically, and turn out to be significant even far from the inclusion. On the contrary, previous numerical work ha...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-006-0066-6

    authors: Biscari P,Napoli G

    更新日期:2007-09-01 00:00:00

  • A novel method for non-invasively detecting the severity and location of aortic aneurysms.

    abstract::The influence of an aortic aneurysm on blood flow waveforms is well established, but how to exploit this link for diagnostic purposes still remains challenging. This work uses a combination of experimental and computational modelling to study how aneurysms of various size affect the waveforms. Experimental studies are...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-017-0884-8

    authors: Sazonov I,Khir AW,Hacham WS,Boileau E,Carson JM,van Loon R,Ferguson C,Nithiarasu P

    更新日期:2017-08-01 00:00:00

  • On the representation of effective stress for computing hemolysis.

    abstract::Hemolysis is a major concern in blood-circulating devices, which arises due to hydrodynamic loading on red blood cells from ambient flow environment. Hemolysis estimation models have often been used to aid hemocompatibility design. The preponderance of hemolysis models was formulated on the basis of laminar flows. How...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-018-01108-y

    authors: Wu P,Gao Q,Hsu PL

    更新日期:2019-06-01 00:00:00

  • Wing cross veins: an efficient biomechanical strategy to mitigate fatigue failure of insect cuticle.

    abstract::Locust wings are able to sustain millions of cycles of mechanical loading during the lifetime of the insect. Previous studies have shown that cross veins play an important role in delaying crack propagation in the wings. Do cross veins thus also influence the fatigue behaviour of the wings? Since many important fatigu...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-017-0930-6

    authors: Rajabi H,Bazargan P,Pourbabaei A,Eshghi S,Darvizeh A,Gorb SN,Taylor D,Dirks JH

    更新日期:2017-12-01 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

  • 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

  • Development of fibroblast-seeded collagen gels under planar biaxial mechanical constraints: a biomechanical study.

    abstract::Prior studies indicated that mechanical loading influences cell turnover and matrix remodeling in tissues, suggesting that mechanical stimuli can play an active role in engineering artificial tissues. While most tissue culture studies focus on influence of uniaxial loading or constraints, effects of multi-axial loadin...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-012-0448-x

    authors: Hu JJ,Liu YC,Chen GW,Wang MX,Lee PY

    更新日期:2013-10-01 00:00:00

  • Tortuosity of the superficial femoral artery and its influence on blood flow patterns and risk of atherosclerosis.

    abstract::The superficial femoral artery (SFA) is a typical atherosclerosis-prone site. We aimed to explore whether the tortuosity of the SFA associates with the occurrence of atherosclerosis and investigate how vascular tortuosity influences the characteristics of blood flow. Ten patients diagnosed with atherosclerotic disease...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-019-01118-4

    authors: Li X,Liu X,Li X,Xu L,Chen X,Liang F

    更新日期:2019-08-01 00:00:00

  • Mean arterial pressure nonlinearity in an elastic circulatory system subjected to different hematocrits.

    abstract::The level of hematocrit (Hct) is known to affect mean arterial pressure (MAP) by influencing blood viscosity. In the healthy population, an increase in Hct (and corresponding increase in viscosity) tends to raise MAP. However, data from a clinical study of type 2 diabetic patients indicate that this relationship is no...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-010-0258-y

    authors: Branigan T,Bolster D,Vázquez BY,Intaglietta M,Tartakovsky DM

    更新日期:2011-07-01 00:00:00

  • In vivo estimation of elastic heterogeneity in an infarcted human heart.

    abstract::In myocardial infarction, muscle tissue of the heart is damaged as a result of ceased or severely impaired blood flow. Survivors have an increased risk of further complications, possibly leading to heart failure. Material properties play an important role in determining post-infarction outcome. Due to spatial variatio...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-018-1028-5

    authors: Balaban G,Finsberg H,Funke S,Håland TF,Hopp E,Sundnes J,Wall S,Rognes ME

    更新日期:2018-10-01 00:00:00

  • Material model of pelvic bone based on modal analysis: a study on the composite bone.

    abstract::Digital models based on finite element (FE) analysis are widely used in orthopaedics to predict the stress or strain in the bone due to bone-implant interaction. The usability of the model depends strongly on the bone material description. The material model that is most commonly used is based on a constant Young's mo...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-016-0822-1

    authors: Henyš P,Čapek L

    更新日期:2017-02-01 00:00:00

  • Divided medium-based model for analyzing the dynamic reorganization of the cytoskeleton during cell deformation.

    abstract::Cell deformability and mechanical responses of living cells depend closely on the dynamic changes in the structural architecture of the cytoskeleton (CSK). To describe the dynamic reorganization and the heterogeneity of the prestressed multi-modular CSK, we developed a two-dimensional model for the CSK which was taken...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-006-0057-7

    authors: Milan JL,Wendling-Mansuy S,Jean M,Chabrand P

    更新日期:2007-11-01 00:00:00

  • Computational analysis of biomechanical contributors to possible endovascular graft failure.

    abstract::This paper evaluates numerically coupled blood flow and wall structure interactions in a representative stented abdominal aortic aneurysm (AAA) model, leading potentially to endovascular graft (EVG) failure. A total of 12 biomechanical contributors to possible EVG migration were considered. The results show that after...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-005-0003-0

    authors: Li Z,Kleinstreuer C,Farber M

    更新日期:2005-12-01 00:00:00

  • Finite-difference and integral schemes for Maxwell viscous stress calculation in immersed boundary simulations of viscoelastic membranes.

    abstract::The immersed boundary method (IBM) has been frequently utilized to simulate the motion and deformation of biological cells and capsules in various flow situations. Despite the convenience in dealing with flow-membrane interaction, direct implementation of membrane viscosity in IBM suffers severe numerical instability....

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-020-01363-y

    authors: Li P,Zhang J

    更新日期:2020-12-01 00:00:00

  • Residual time of sinusoidal metachronal ciliary flow of non-Newtonian fluid through ciliated walls: fertilization and implantation.

    abstract::The monitoring of the ciliated walls in the uterine tube has supreme importance in enhancing the sperm to reach the egg (capacitation processes), and at peristaltic ciliary flow has a more favorable residual time along the canal when compared to the peristaltic flow. Based on the importance of this study, a mathematic...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-020-01405-5

    authors: Zaher AZ,Moawad AMA,Mekheimer KS,Bhatti MM

    更新日期:2021-01-03 00:00:00

  • A time-dependent phenomenological model for cell mechano-sensing.

    abstract::Adherent cells normally apply forces as a generic means of sensing and responding to the mechanical nature of their surrounding environment. How these forces vary as a function of the extracellular rigidity is critical to understanding the regulatory functions that drive important phenomena such as wound healing or mu...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-013-0508-x

    authors: Borau C,Kamm RD,García-Aznar JM

    更新日期:2014-04-01 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

  • Bone cell mechanosensation of fluid flow stimulation: a fluid-structure interaction model characterising the role integrin attachments and primary cilia.

    abstract::Load-induced fluid flow acts as an important biophysical signal for bone cell mechanotransduction in vivo, where the mechanical environment is thought to be monitored by integrin and primary cilia mechanoreceptors on the cell body. However, precisely how integrin- and primary cilia-based mechanosensors interact with t...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-014-0631-3

    authors: Vaughan TJ,Mullen CA,Verbruggen SW,McNamara LM

    更新日期:2015-08-01 00:00:00

  • Velocity profiles in the human ductus venosus: a numerical fluid structure interaction study.

    abstract::The veins distributing oxygenated blood from the placenta to the fetal body have been given much attention in clinical Doppler velocimetry studies, in particular the ductus venosus. The ductus venosus is embedded in the left liver lobe and connects the intra-abdominal portion of the umbilical vein (IUV) directly to th...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-012-0460-1

    authors: Leinan PR,Degroote J,Kiserud T,Skallerud B,Vierendeels J,Hellevik LR

    更新日期:2013-10-01 00:00:00

  • Mathematical modelling of corneal swelling.

    abstract::This paper presents a differential model of the corneal transport system capable of modelling thickness changes in response to osmotic perturbations applied to either limiting membrane. The work is directed towards understanding corneal behaviour in vivo. The model considers the coupled viscous flows within the cornea...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-004-0054-7

    authors: Li LY,Tighe BJ,Ruberti JW

    更新日期:2004-11-01 00:00:00

  • A computational model that predicts reverse growth in response to mechanical unloading.

    abstract::Ventricular growth is widely considered to be an important feature in the adverse progression of heart diseases, whereas reverse ventricular growth (or reverse remodeling) is often considered to be a favorable response to clinical intervention. In recent years, a number of theoretical models have been proposed to mode...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-014-0598-0

    authors: Lee LC,Genet M,Acevedo-Bolton G,Ordovas K,Guccione JM,Kuhl E

    更新日期:2015-04-01 00:00:00

  • Effects of pH on transport properties of articular cartilages.

    abstract::Articular cartilages swell and shrink depending on the ionic strength of the electrolyte they are in contact with. This electro-chemo-mechanical coupling is due to the presence of fixed electrical charges on proteoglycans (PGs). In addition, at nonphysiological pH, collagen fibers become charged. Therefore, variation ...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-009-0158-1

    authors: Loret B,Simões FM

    更新日期:2010-02-01 00:00:00

  • The influence of load repetition in bone mechanotransduction using poroelastic finite-element models: the impact of permeability.

    abstract::Experimental evidence suggests that interstitial fluid flow is a stimulus for mechanoadaptation in bone. Bone adaptation is sensitive to the frequency of loading and rest insertion between load cycles. We investigated the effects of permeability, frequency and rest insertion on fluid flow in bone using finite-element ...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-013-0498-8

    authors: Pereira AF,Shefelbine SJ

    更新日期:2014-01-01 00:00:00

  • Dynamic modeling for shear stress induced ATP release from vascular endothelial cells.

    abstract::A dynamic model is proposed for shear stress induced adenosine triphosphate (ATP) release from endothelial cells (ECs). The dynamic behavior of the ATP/ADP concentration at the endothelial surface by viscous shear flow is investigated through simulation studies based on the dynamic ATP release model. The numerical res...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-007-0088-8

    authors: Qin KR,Xiang C,Xu Z,Cao LL,Ge SS,Jiang ZL

    更新日期:2008-10-01 00:00:00

  • Finite-element analysis of geometrical factors in micro-indentation of pollen tubes.

    abstract::Micro-indentation is a new experimental approach to assess physical cellular properties. Here we attempt to quantify the contribution of geometrical parameters to a cylindrical plant cell's resistance to lateral deformation. This information is important to correctly interpret data obtained from experiments using the ...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-005-0010-1

    authors: Bolduc JE,Lewis LJ,Aubin CE,Geitmann A

    更新日期:2006-11-01 00:00:00

  • Microstructural modeling of collagen network mechanics and interactions with the proteoglycan gel in articular cartilage.

    abstract::Cartilage matrix mechanical function is largely determined by interactions between the collagen fibrillar network and the proteoglycan gel. Although the molecular physics of these matrix constituents have been characterized and modern imaging methods are capable of localized measurement of molecular densities and orie...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-006-0036-z

    authors: Quinn TM,Morel V

    更新日期:2007-01-01 00:00:00

  • Pointwise characterization of the elastic properties of planar soft tissues: application to ascending thoracic aneurysms.

    abstract::In this manuscript, we present a combined experimental and computational technique that can identify the heterogeneous elastic properties of planar soft tissues. By combining inverse membrane analysis, digital image correlation, and bulge inflation tests, we are able to identify a tissue's mechanical properties locall...

    journal_title:Biomechanics and modeling in mechanobiology

    pub_type: 杂志文章

    doi:10.1007/s10237-014-0646-9

    authors: Davis FM,Luo Y,Avril S,Duprey A,Lu J

    更新日期:2015-10-01 00:00:00