Mathematical Problems in Engineering

Biomechanical Constitutive Model Identification


Publishing date
01 Jun 2019
Status
Published
Submission deadline
25 Jan 2019

Lead Editor

1University Granada, Granada, Spain

2North Carolina State University, North Carolina, USA

3Rochester Institute of Technology, New York, USA


Biomechanical Constitutive Model Identification

Description

In biomechanics, reliable modeling and quantification of material parameters and the study of constitutive models and computational tools concerning experimental observations of living tissue are a rapidly expanding field of research. The main reason for this interest is the ever-growing number of real-world clinical applications such as cardiovascular, osteoarticular, reproductive, osteoarticular, and regenerative biomechanics. The research objectives include understanding the cell biomechanics and mechanotransduction and novel methods for testing them, and studying a relationship between continuum mechanics and the structure and ultrastructure of tissue. These applications suggest developing efficient computational tools and exploring inverse problems formulations. We emphasize that an adequate treatment of inverse problems emerging in the fields as mentioned above requires optimization of nonsmooth, even nonconvex functions in general spaces. Such optimization problem, after discretization, leads to a massive number of unknown parameters. Furthermore, the constraint equations include elliptic, parabolic, and hyperbolic PDEs.

In summary, the capability of biomathematical models to realistically predict the various behavioral patterns observed in soft tissue is a long-standing challenging problem, from both the theoretical and the experimental standpoint. To advance towards this quest, we call for contributions to the proposed special issue.

Potential topics include but are not limited to the following:

  • Soft tissue biomechanical models
  • Applied, computational, or theoretical tissue mechanics continuum field theory
  • Hyperelastic and viscoelastic quasi-incompressible transversely isotropic constitutive model formulation and identification
  • Inverse problems or biomechanical parameter identification problems

Articles

  • Special Issue
  • - Volume 2019
  • - Article ID 3607015
  • - Editorial

Biomechanical Constitutive Model Identification

Guillermo Rus | Juan Melchor | ... | Akhtar A. Khan
  • Special Issue
  • - Volume 2019
  • - Article ID 5868561
  • - Research Article

Identification of Viscoelastic Constitutive Parameters of a Cell Based on Fluid-Structure Coupled Finite Element Model and Experiment

Jun Qiu | Fang-Fang Li
  • Special Issue
  • - Volume 2019
  • - Article ID 2402606
  • - Research Article

High-Resolution Strain Measurement for Biomechanical Parameters Assessment in Native and Decellularized Porcine Vessels

Juan Melchor | Juan M. Soto | ... | Guillermo Rus
  • Special Issue
  • - Volume 2019
  • - Article ID 4853046
  • - Research Article

Control Strategy and Experiments for Robot Assisted Craniomaxillofacial Surgery System

Tengfei Cui | Yonggui Wang | ... | Xiaodong Ma
  • Special Issue
  • - Volume 2019
  • - Article ID 5957432
  • - Research Article

Histobiomechanical Remodeling of the Cervix during Pregnancy: Proposed Framework

Jorge Torres | Inas Faris | Antonio Callejas
  • Special Issue
  • - Volume 2018
  • - Article ID 9131340
  • - Research Article

Mapping Heterogeneous Elastic Property Distribution of Soft Tissues Using Harmonic Motion Data: A Theoretical Study

Yue Mei | Peng Yu
  • Special Issue
  • - Volume 2018
  • - Article ID 6494758
  • - Research Article

Effect of Contact Conditions of Torsional Wave Elastographic Probe on Human Cervix

G. Rus | M. Riveiro | F. S. Molina
  • Special Issue
  • - Volume 2018
  • - Article ID 5049104
  • - Research Article

Nonlinear Classical Elasticity Model for Materials with Fluid and Matrix Phases

Rafael Muñoz | Juan Melchor
  • Special Issue
  • - Volume 2018
  • - Article ID 5240594
  • - Research Article

Steering Control Method for an Underactuated Unicycle Robot Based on Dynamic Model

Hongzhe Jin | Yang Zhang | ... | Jie Zhao
  • Special Issue
  • - Volume 2018
  • - Article ID 5280141
  • - Research Article

Extended Poroelasticity: An Analytical Solution and Its Application to p-Wave Propagation in Cervical Tissues

Roberto Palma | Antonio M. Callejas
Mathematical Problems in Engineering
 Journal metrics
Acceptance rate27%
Submission to final decision64 days
Acceptance to publication34 days
CiteScore1.800
Impact Factor1.009
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