Finite Element Methods for Developmental Biology

Gw, Brodland

doi:10.1016/s0074-7696(08)61538-7

Cited by 19 publications

(12 citation statements)

References 16 publications

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“…Difficulties in resolving mechanical issues about neumlation arise because the shape changes that occur are three dimensional, mechanical interactions apparently occur between the plate and adjacent tissues, and multiple force systems may contribute to the shape changes observed (Clausi and Brodland 1993). Computer simulations have come to be accepted as a complement to experimental studies and intuitive arguments (Jacobson and Gordon 1976;Jacobson 1980;Ode11 et al 1981;Hilfer and Hilfer 1983;Jacobson et al 1986;Weliky andOster 1990, Clausi andBrodland 1993;Brodland 1994;Brodland and Clausi 1994). They can be used to investigate both kinematic and kinetic aspects of morphogenetic movements.…”

Section: Introductionmentioning

confidence: 99%

Cytoskeletal mechanics of neurulation: insights obtained from computer simulations

Da²

1995

Biochem. Cell Biol.

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The morphogenetic movements associated with the process of neurulation have been the subject of much investigation during the last one hundred years. A plethora of experimental evidence has been generated regarding the forces that drive this seemingly simple process, and many theories about the mechanics of the process have been proposed. Recent computer simulations have proved useful for evaluating these theories from a mechanical perspective. In this work, computer simulations are used to investigate several theories about the forces that drive neurulation. A simplified version of a formulation previously presented by the authors provides the mathematical foundation for these simulations. The simulations confirm that forces generated by circumferential microfilament bundles (CMB's) in conjunction with notochord forces can produce the rolling motions characteristic of amphibian neurulation. They also support the notion that redundancies exist in the systems of forces available to drive neurulation shape changes. The shape changes that occur following a variety of surgical and teratogenic interventions are also simulated. These simulations corroborate the role of circumferential microfilament bundles as a primary force generator.

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Section: Introductionmentioning

confidence: 99%

Cytoskeletal mechanics of neurulation: insights obtained from computer simulations

Da²

1995

Biochem. Cell Biol.

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“…The two main ways of hourglass control are the viscous damping and introduction of artificial stiffness. They are unable to control hourglassing in coarse mesh with large nodal forces (Belytschko et al, 2000;Belytschko, Ong, & Kennedy, 1984;Brodland, 1994;de Souza Neto, Peric, & Owen, 2011;Dhondt, 2004;Tejchman, 2013;Waszczyszyn, Cichon, & Radwanska, 2013).…”

Section: Hourglassmentioning

confidence: 99%

Parameters for the FEA simulations of single point incremental forming

Gupta

Jeswiet

2019

Production & Manufacturing Research

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Single point incremental forming has shown immense potential in the manufacture of prototypes. The sheet metal deformation in this technique is carried out by a small hemispherical or flat tool that moves from the sheet periphery to the sheet center while also pushing the sheet down. Simulations of single point incremental forming can be a tedious task since the area required to be formed is large and the two sheet contact area is fairly small. The effect of tool however, affects the entire geometry by causing deflections and radial strains. Hence, it becomes essential to understand the effect of certain parameters that influence the simulation results for this forming process. The paper aims to study factors influencing the simulation of single point incremental forming process. It gives a description of techniques employed to simulate non-linear behavior of sheet metal forming along with the implicit and explicit methodology. Information on the selection of element type including Reduced Enhanced Solid-Shell element is presented. Techniques employed to avoid locking are also discussed. ARTICLE HISTORY

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“…The authors first assume that the forces acting at each cell vertex are directed along the plasma membrane: further, they place an additional vertex at each cell centroid, which allows to create a proper triangulation suitable for their finite element formulation [11,12,13,14,15,16,17,18,19]. The models by the group of Brodland are then applied to study the biophysics of cell sorting and engulfment during embryogenesis.…”

Section: Comparison With Vertex-based Modelsmentioning

confidence: 99%

A node-based version of the cellular Potts model

Scianna

Preziosi

2016

Computers in Biology and Medicine

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The cellular Potts model (CPM) is a lattice-based Monte Carlo method that uses an energetic formalism to describe the phenomenological mechanisms underlying the biophysical problem of interest. We here propose a CPM-derived framework that relies on a node-based representation of cell-scale elements. This feature has relevant consequences on the overall simulation environment. First, our model can be implemented on any given domain, provided a proper discretization (which can be regular or irregular, fixed or time evolving). Then, it allowed an explicit representation of cell membranes, whose displacements realistically result in cell movement. Finally, our node-based approach can be easily interfaced with continuous mechanics or fluid dynamics models. The proposed computational environment is here applied to some simple biological phenomena, such as cell sorting and chemotactic migration, also in order to achieve an analysis of the performance of the underlying algorithm. This work is finally equipped with a critical comparison between the advantages and disadvantages of our model with respect to the traditional CPM and to some similar vertex-based approaches.

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Finite Element Methods for Developmental Biology

Cited by 19 publications

References 16 publications

Cytoskeletal mechanics of neurulation: insights obtained from computer simulations

Cytoskeletal mechanics of neurulation: insights obtained from computer simulations

Parameters for the FEA simulations of single point incremental forming

A node-based version of the cellular Potts model

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