Ney Augusto Dumont

The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.4, pp. 192-192, 2019, DOI:10.32604/icces.2019.05284

Abstract The use of boundary integral equations as an attempt to solve general problems of elasticity and potential has largely preceded the use of domain-related developments, which only became feasible (and conceivable) with the advent of powerful computational devices. On the other hand, the present-day matrix, computational-ready outline of the boundary element method (including its nowadays prevalent name) has borrowed – in part correctly and in part wrongly – much from the finite element concepts and formulation. We propose a revisit of the method, including, as for elasticity problems: a) conceptual reformulation in terms of weighted residuals with a consistent derivation… More >

Cristiano Ubessi¹, Federico C. Buroni^2,*, Gabriel Hattori³, Andrés Sáez⁴, Rogério J. Marczak¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.1, pp. 104-104, 2019, DOI:10.32604/icces.2019.05420

Abstract Efficient three-dimensional infinite Green’s function and its first- and second-order derivatives for materials with piezoelectric coupling are studied in this paper. The procedure is based on an explicit solution recently introduced by the authors which presents three valuable characteristics: (i) it is explicit in terms of the Stroh’s eigenvalues, (ii) it remains well-defined when some Stroh’s eigenvalues are repeated (mathematical degeneracy) or nearly equal (quasi-mathematical degeneracy), and (iii) it is exact. Then, this solution is used to compute coefficients for a double Fourier series representation of the Green’s function and its derivatives. These Fourier expansion representations are realvariable which is… More >

Yan Cai^1,1, Zhiyong Li^1,2,*

Molecular & Cellular Biomechanics, Vol.14, No.2, pp. 59-81, 2017, DOI:10.3970/mcb.2017.014.057

Abstract To investigate the dynamic changes of solid tumor and neo-vasculature in response to chemotherapeutic agent, we proposed a multi-discipline three-dimensional mathematical model by coupling tumor growth, angiogenesis, vessel remodelling, microcirculation and drug delivery. The tumor growth is described by the cell automaton model, in which three cell phenotypes (proliferating cell, quiescent cell and necrotic cell) are assumed to reflect the dynamics of tumor progress. A 3D tree-like architecture network with different orders for vessel diameter is generated as pre-existing vasculature in host tissue. The chemical substances including oxygen, vascular endothelial growth factor, extra-cellular matrix and matrix degradation enzymes are calculated… More >

Abhishek M. Thote^1,*, Rashmi V. Uddanwadiker¹, Krishna Sharma², Sunita Shrivastava²

Molecular & Cellular Biomechanics, Vol.14, No.1, pp. 1-17, 2017, DOI:10.3970/mcb.2017.014.001

Abstract The objective of this study was to devise an optimum force system to achieve en-masse retraction of six maxillary anterior teeth in lingual orthodontics (LiO). First, the set of equations was developed based on the mathematical computation to estimate optimum parameters of force system. Then, the computer software based on this mathematical computation was developed for the ease of estimation of force system. The verification of force system obtained with computer software was accomplished by three-dimensional finite element analysis (FEA). In FEA, it was clear that the desired en-masse retraction of six maxillary anterior teeth in LiO was achieved as… More >

Yan Cai^1,2,3, Jie Wu⁴, Zhiyong Li^1,2

Molecular & Cellular Biomechanics, Vol.12, No.4, pp. 231-248, 2015, DOI:10.3970/mcb.2015.012.231

Abstract We propose a coupled mathematical model for the detailed quantitative analyses of initial microtumour and micrometastases formation by including cancer cell migration, host vessel cooption and changes in microenvironment. Migrating cells are included as a new phenotype to describe the migration behaviour of malignant tumour cells. Migration probability of a migrating cell is assumed to be influenced by local chemical microenvironment. Pre-existing vessel cooption and remodelling are introduced according to the local haemodynamical microenvironment, such as interstitial pressure and vessel wall permeability. After the tumour cells and tumour vessels distribution are updated, the chemical substances are coupled calculated with the… More >

Chetan Kuthe^∗, R. V. Uddanwadiker^†, P. M. Padole^‡, A. A. Ramteke^§

Molecular & Cellular Biomechanics, Vol.12, No.1, pp. 1-16, 2015, DOI:10.3970/mcb.2015.012.001

Abstract Skeletal muscles are responsible for the relative motion of the bones at the joints and provide the required strength. They exhibit highly nonlinear mechanical behaviour and are described by nonlinear hyperelastic constitutive relations. It is distinct from other biological soft tissue. Its hyperelastic or viscoelastic behaviour is modelled by using CE, SEE, and PEE. Contractile element simulates the behaviour of skeletal muscle when it is subjected to eccentric and concentric contraction. This research aims to estimate the stress induced in skeletal muscle in eccentric and concentric contraction with respect to the predefined strain. With the use of mathematical model for… More >

Marco A.Velasco^∗, Diego A. Garzón-Alvarado^†

Molecular & Cellular Biomechanics, Vol.10, No.2, pp. 137-157, 2013, DOI:10.3970/mcb.2013.010.137

Abstract The design of porous scaffolds for tissue engineering requires methods to generate geometries in order to control the stiffness and the permeability of the implant among others characteristics. This article studied the potential of the reaction-diffusion systems to design porous scaffolds for bone regeneration. We simulate the degradation of the scaffold material and the formation of new bone tissue over canal-like, spherical and ellipsoid structures obtained by this approach. The simulations show that the degradation and growth rates are affected by the form of porous structures. The results have indicated that the proposed method has potential as a tool to… More >

Konstantinos A. Lazopoulos¹, Dimitrije Stamenović²

Molecular & Cellular Biomechanics, Vol.3, No.1, pp. 43-48, 2006, DOI:10.3970/mcb.2006.003.043

Abstract It is well documented that in response to substrate stretching adhering cells alter their orientation. Generally, the cells reorient away from the direction of the maximum substrate strain, depending upon the magnitude of the substrate strain and the state of cell contractility. Theoretical models from the literature can describe only some aspects of this phenomenon. In the present study, we developed a more comprehensive mathematical model of cell reorientation than the current models. Using the framework of theory of non-linear elasticity, we found that the problem of cell reorientation was a stability problem, with the global (Maxwell's) criterion for stability.… More >

Masaki Izawa¹, Ryota Araki¹, Tatsuro Suzuki¹, Kaito Watanabe², Kazuhito Misaji^3,*

CMES-Computer Modeling in Engineering & Sciences, Vol.118, No.3, pp. 493-507, 2019, DOI:10.31614/cmes.2019.04470

Abstract Primary purpose of this research is to create a three-dimensional musculoskeletal mathematical model of a driver of a car using a motion capture system. The model is then used in an analysis of drive torque around joints and attached muscles as a vehicle travels in different travel modes and damping force settings to examine ‘burdens’ for the driver. Previous studies proposed a method of quantifying the degree of musculoskeletal load in simple human motion from the changes in drive torque around joints and attached muscles. However, examination of the level of burdens for the driver while driving using this method… More >

Di Wu¹, Wei Gao^1,2, Chongmin Song¹, Zhen Luo³

CMES-Computer Modeling in Engineering & Sciences, Vol.108, No.5, pp. 331-373, 2015, DOI:10.3970/cmes.2015.108.331

Abstract Two novel mathematical programming approaches are proposed to separately assess non-deterministic behaviour and stability of engineering structures against disparate uncertainties. Within the proposed computational schemes, uncertainties attributed by the material properties, loading regimes, as well as environmental influences are simultaneously incorporated and modelled by the interval approach. The proposed mathematical programming approaches proficiently transform the uncertain structural analyses into deterministic mathematical programs. Two essential aspects of structural analysis, namely linear structural behaviour and bifurcation buckling, have been explicitly investigated. Diverse verifications have been implemented to justify the accuracy and computational efficiency of the proposed approaches through practically motivated numerical examples. More >