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Sánchez JF, Ramtani S, Boucetta A, Velasco MA, Vaca-González JJ, Duque-Daza CA, Garzón-Alvarado DA. Tumor growth for remodeling process: A 2D approach. J Theor Biol 2024; 585:111781. [PMID: 38432504 DOI: 10.1016/j.jtbi.2024.111781] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/01/2023] [Revised: 02/07/2024] [Accepted: 02/27/2024] [Indexed: 03/05/2024]
Abstract
This paper aims to present a comprehensive framework for coupling tumor-bone remodeling processes in a 2-dimensional geometry. This is achieved by introducing a bio-inspired damage that represents the growing tumor, which subsequently affects the main populations involved in the remodeling process, namely, osteoclasts, osteoblasts, and bone tissue. The model is constructed using a set of differential equations based on the Komarova's and Ayati's models, modified to incorporate the bio-inspired damage that may result in tumor mass formation. Three distinct models were developed. The first two models are based on the Komarova's governing equations, with one demonstrating an osteolytic behavior and the second one an osteoblastic model. The third model is a variation of Ayati's model, where the bio-inspired damage is induced through the paracrine and autocrine parameters, exhibiting an osteolytic behavior. The obtained results are consistent with existing literature, leading us to believe that our in-silico experiments will serve as a cornerstone for paving the way towards targeted interventions and personalized treatment strategies, ultimately improving the quality of life for those affected by these conditions.
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Affiliation(s)
| | - Salah Ramtani
- Laboratoire CSPBAT, equipe LBPS, CNRS (UMR 7244), Universit e Sorbonne Paris Nord, France.
| | - Abdelkader Boucetta
- Laboratoire CSPBAT, equipe LBPS, CNRS (UMR 7244), Universit e Sorbonne Paris Nord, France
| | | | - Juan Jairo Vaca-González
- Escuela de Pregrado - Direccion Académica, Universidad Nacional de Colombia, Sede de La Paz, Colombia.
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2
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Benabdderrahmane K, Stirnemann J, Ramtani S, Falentin-Daudré C. Development of a double-layer electrospun patch as a potential prenatal treatment for myelomeningocele. Wound Repair Regen 2024; 32:246-256. [PMID: 37957136 DOI: 10.1111/wrr.13123] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/29/2023] [Revised: 09/05/2023] [Accepted: 10/12/2023] [Indexed: 11/15/2023]
Abstract
Myelomeningocele (MMC) is a congenital defect of the spine characterised by meningeal and spinal cord protrusion through the open vertebral arches. This defect causes progressive prenatal damage of the spinal cord, leading to lifelong handicap. Although mid-trimester surgical repair may reduce part of the handicap, an earlier and less invasive approach would further improve the prognosis, possibly minimising maternal and foetal risks. Several studies have proposed an alternative approach to surgical repair by covering the defect with a patch and protecting the exposed neural tissue. Our study aims to elaborate on a waterproof and biodegradable bioactive patch for MMC prenatal foetal repair. We developed a double-layer patch that can provide a waterproof coverage for the spinal cord, with a bioactive side, conducive to cell proliferation, and an antiadhesive side to avoid its attachment to the medulla.
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Affiliation(s)
- K Benabdderrahmane
- LBPS/CSPBAT, UMR CNRS 7244, Institut Galilée, Université Sorbonne Paris Nord, Villetaneuse, France
| | - J Stirnemann
- Obstetrics and Maternal-Fetal Medicine, Hôpital Necker Enfants Malades, AP-HP, Paris, France
- EA7328 Institut Imagine & Université de Paris-Cité, Paris, France
| | - S Ramtani
- LBPS/CSPBAT, UMR CNRS 7244, Institut Galilée, Université Sorbonne Paris Nord, Villetaneuse, France
| | - C Falentin-Daudré
- LBPS/CSPBAT, UMR CNRS 7244, Institut Galilée, Université Sorbonne Paris Nord, Villetaneuse, France
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3
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Kedadria A, Benabid Y, Remil O, Benaouali A, May A, Ramtani S. A Shoulder Musculoskeletal Model with Three-Dimensional Complex Muscle Geometries. Ann Biomed Eng 2023; 51:1079-1093. [PMID: 37022653 DOI: 10.1007/s10439-023-03189-y] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/27/2022] [Accepted: 03/21/2023] [Indexed: 04/07/2023]
Abstract
Muscle structure is an essential component in typical computational models of the musculoskeletal system. Almost all musculoskeletal models represent muscle geometry using a set of line segments. The straight-line approach limits models' ability to accurately predict the paths of muscles with complex geometry. This approach needs knowledge of how the muscle changes shape and interacts with fundamental structures like muscles, bones, and joints that move. Moreover, the moment arms are supposed to be equivalent to all the fibers in the muscle. This study aims to create a shoulder musculoskeletal model that includes complex muscle geometries. We reconstructed the shape of fibers in the entire volume of six muscles adjacent to the shoulder using an automated technique. This method generates many fibers from the surface geometry of the skeletal muscle and its attachment areas. Highly discretized muscle representations for all muscles were created and used to simulate different shoulder movements. The moment arms of each muscle were calculated and validated against cadaveric measurements and models of the same muscles from the literature. We found that simulations using the developed musculoskeletal models generated more realistic geometries, which expands the physical representation of muscles compared to line segments. The shoulder musculoskeletal model with complex muscle geometry is created to increase the anatomical reality of models and the lines action of muscle fibers, and to be used for finite element investigations.
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Affiliation(s)
- Abderrazak Kedadria
- Mechanical System Design Laboratory, Ecole Militaire Polytechnique, Boite Postale 17, Commune de Bordj El Bahri, 16046, Algiers, Algeria
| | - Yacine Benabid
- Mechanical System Design Laboratory, Ecole Militaire Polytechnique, Boite Postale 17, Commune de Bordj El Bahri, 16046, Algiers, Algeria
| | - Oussama Remil
- Mechanical System Design Laboratory, Ecole Militaire Polytechnique, Boite Postale 17, Commune de Bordj El Bahri, 16046, Algiers, Algeria
| | - Abdelkader Benaouali
- Mechanical System Design Laboratory, Ecole Militaire Polytechnique, Boite Postale 17, Commune de Bordj El Bahri, 16046, Algiers, Algeria
| | - Abdelghani May
- Mechanical System Design Laboratory, Ecole Militaire Polytechnique, Boite Postale 17, Commune de Bordj El Bahri, 16046, Algiers, Algeria.
| | - Salah Ramtani
- Université Sorbonne Paris Nord, CSPBA-LBPS, UMR CNRS 7244, Inst Galilee, 99 Ave JB Clement, Villetaneuse, France
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4
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Quexada-Rodríguez D, Trabelsi O, Hobatho MC, Ramtani S, Garzón-Alvarado D. Influence of growth plate morphology on bone trabecular groups, a framework computational approach. Bone 2023; 171:116742. [PMID: 36958541 DOI: 10.1016/j.bone.2023.116742] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 12/05/2022] [Revised: 03/13/2023] [Accepted: 03/15/2023] [Indexed: 03/25/2023]
Abstract
The morpholog of the growth plate undergoes various transformations during each stage of development, affecting its shape, width, density, and other characteristics. This significantly impacts the distribution of stress in the epiphysis of long bones. To the best of our knowledge, this study represents the first attempt to examine the relationship between growth plate morphology and trabecular bone patterns. Our analysis was conducted using a finite element model and we analyzed two medical cases: trabecular patterns in the femoral epiphysis and the calcaneus bone. Our findings revealed a correlation between the formation of main trabecular groups and growth plate morphology. We investigated how an increased density in high-shear stress zones, which are typically located at the periphery of the growth plate, may occur to prevent failure by shear. This is evident in cases such as slipped capital femoral epiphysis or sever's disease, different simulations align with the clinical data available in the literature from a qualitative and quantitative point of view. Our results suggest that further research should focus on understanding the impact of growth plate morphology on bone remodeling and exploring potential preventive measures for different bone disorders.
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Affiliation(s)
- Diego Quexada-Rodríguez
- Université de Technologie de Compiègne, CNRS, Biomechanics and Bioengineering, Centre de Recherche Royallieu, CS 60 319 - 60 203 Compiègne Cedex, France; Numerical Methods and Modeling Research Group (GNUM), Universidad Nacional de Colombia, Colombia
| | - Olfa Trabelsi
- Université de Technologie de Compiègne, CNRS, Biomechanics and Bioengineering, Centre de Recherche Royallieu, CS 60 319 - 60 203 Compiègne Cedex, France
| | - Marie-Christine Hobatho
- Université de Technologie de Compiègne, CNRS, Biomechanics and Bioengineering, Centre de Recherche Royallieu, CS 60 319 - 60 203 Compiègne Cedex, France
| | - Salah Ramtani
- Université de Technologie de Compiègne, CNRS, Biomechanics and Bioengineering, Centre de Recherche Royallieu, CS 60 319 - 60 203 Compiègne Cedex, France; Université Sorbonne Paris Nord, Laboratoire CSPBAT, équipe LBPS, CNRS (UMR 7244), Institut Galilée, F93430 Villetaneuse, France
| | - Diego Garzón-Alvarado
- Université de Technologie de Compiègne, CNRS, Biomechanics and Bioengineering, Centre de Recherche Royallieu, CS 60 319 - 60 203 Compiègne Cedex, France; Numerical Methods and Modeling Research Group (GNUM), Universidad Nacional de Colombia, Colombia.
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5
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Ramtani S, Sánchez JF, Boucetta A, Kraft R, Vaca-González JJ, Garzón-Alvarado DA. A coupled mathematical model between bone remodeling and tumors: a study of different scenarios using Komarova's model. Biomech Model Mechanobiol 2023; 22:925-945. [PMID: 36922421 PMCID: PMC10167202 DOI: 10.1007/s10237-023-01689-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/21/2022] [Accepted: 01/05/2023] [Indexed: 03/17/2023]
Abstract
This paper aims to construct a general framework of coupling tumor-bone remodeling processes in order to produce plausible outcomes of the effects of tumors on the number of osteoclasts, osteoblasts, and the frequency of the bone turnover cycle. In this document, Komarova's model has been extended to include the effect of tumors on the bone remodeling processes. Thus, we explored three alternatives for coupling tumor presence into Komarova's model: first, using a "damage" parameter that depends on the tumor cell concentration. A second model follows the original structure of Komarova, including the tumor presence in those equations powered up to a new parameter, called the paracrine effect of the tumor on osteoclasts and osteoblasts; the last model is replicated from Ayati and collaborators in which the impact of the tumor is included into the paracrine parameters. Through the models, we studied their stability and considered some examples that can reproduce the tumor effects seen in clinic and experimentally. Therefore, this paper has three parts: the exposition of the three models, the results and discussion (where we explore some aspects and examples of the solution of the models), and the conclusion.
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Affiliation(s)
- Salah Ramtani
- Laboratoire CSPBAT, equipe LBPS, CNRS (UMR 7244), Universit e Sorbonne Paris Nord, Paris, France
| | | | - Abdelkader Boucetta
- Laboratoire CSPBAT, equipe LBPS, CNRS (UMR 7244), Universit e Sorbonne Paris Nord, Paris, France
| | - Reuben Kraft
- Department of Mechanical Engineering, Penn State University, University Park, USA
| | - Juan Jairo Vaca-González
- Escuela de Pregrado - Direccion Académica, Universidad Nacional de Colombia, Sede de La Paz, Cesar, Colombia
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6
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Boucetta A, Ramtani S, Garzón-Alvarado DA. Both network architecture and micro cracks effects on lacuno-canalicular liquid flow efficiency within the context of multiphysics approach for bone remodeling. J Mech Behav Biomed Mater 2023; 141:105780. [PMID: 36989871 DOI: 10.1016/j.jmbbm.2023.105780] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/15/2022] [Revised: 02/27/2023] [Accepted: 03/12/2023] [Indexed: 03/18/2023]
Abstract
When physical forces are applied to bone, its mechanical adaptive behaviors change according to the microarchitecture configuration. This leads to changes in biological and physical thresholds in the remodeling cell population, involving sensor cells (osteocytes) interacting with each other and changes in osteocyte shape due to variation in lacunar shape. The resulting alterations in fluid flow leads to changes in the membrane electrical potential and shear stress. Eventual creation of microcracks, may lead in turn to modify cell activity. In contrast, the redundancy in the lacuno canalicular network (LCN) interconnectivity maintains partial flow. Our goal was to investigate the role of fluid flow in LCN by proposing a model of electro-mechanical energy spread through inhomogeneous microarchitectures. We focused on mechano-sensitivity to changes in load-induced flow impacted by neighboring micro cracks and quantifying its critical role in changing, velocity, shear stress and orientation of liquid mass transportation from one cell to another. To enhance the concept of intricacy LCN micro-structure to fluid flow, we provide a new combined effects factor considered as osteocytes sensor efficiency. We customized an influence function for each osteocyte, coupling: in one hand, the spatial distribution within remodeling influence areas, conducting a significant fluid spread, leading hydro-dynamic behavior and impacted further by presence of micro cracks and; in other hand, the fluid electro kinetic behavior. As an attempt to fill the limitations stated by many of the recent studies, we reveal in numerical simulation, some results which cannot be measured in vitro/in vivo studies. Numerical calculations were performed in order to evaluate, among many others, how liquid flow conditions changes between lacunas, how the orientation and the magnitude of the governing flow in LCN can regulate osteocytes efficiency. In addition to be regulated by osteocytes, a direct effects of fluid flow are also acting on osteoblast activity. In summary, this new approach considers mechano-sensitivity in relation to liquid flow dynamic and suggests additional pathway for Osseo integration via osteoblast regulation. However, this novel modeling approach may help improve the mapping and design bone scaffolds and/or selection of scaffold implantation regions.
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Affiliation(s)
- Abdelkader Boucetta
- Université Sorbonne Paris Nord, CSPBA-LBPS, UMR CNRS 7244, Inst Galilee, 99 Ave JB Clement, Villetaneuse, France; GE VERNOVA, SS&O-OPS-O&M EMEA Regions, Algiers, Algeria.
| | - Salah Ramtani
- Université Sorbonne Paris Nord, CSPBA-LBPS, UMR CNRS 7244, Inst Galilee, 99 Ave JB Clement, Villetaneuse, France.
| | - Diego A Garzón-Alvarado
- Universidad Nacional de Colombia, Biomimetics Laboratory-Biotechnology Institute, Bogota, 571, Republic of Colombia.
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7
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Quexada D, Ramtani S, Trabelsi O, Marquez K, Marie-Christine, Linero Segrera DL, Duque-Daza C, Garzón Alvarado DA. A unified framework of cell population dynamics and mechanical stimulus using a discrete approach in bone remodelling. Comput Methods Biomech Biomed Engin 2023; 26:399-411. [PMID: 35587027 DOI: 10.1080/10255842.2022.2065201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Abstract
Multiphysics models have become a key tool in understanding the way different phenomenon are related in bone remodeling and various approaches have been proposed, yet, to the best of the author's knowledge there is no model able to link a cell population model with a mechanical stimulus model using a discrete approach, which allows for an easy implementation. This article couples two classical models, the cell population model from Komarova and the Nackenhorst model in a 2D domain, where correlations between the mechanical loading and the cell population dynamics can be established, furthermore the effect of different paracrine and autocrine regulators is seen on the overall density of a portion of trabecular bone. A discretization is performed using frame 1D finite elements, representing the trabecular structure. The Nackenhorst model is implemented by using the finite element method to calculate the strain energy as the main mechanical stimulus that determines the bone mass density evolution in time. This density is normalized to be added to the bone mass percentage proposed by the Komarova model, where coupling terms have been added as well that guarantee a stable response. In the simulations, the equations were solved employing the finite element method with a user subroutine implemented in ABAQUS (2017) and by applying a direct formulation. The methodology presented can model the cell dynamics occurring in bone remodelling in accordance with the asynchronous nature of this process, yet allowing to differentiate zones with higher density, the main trabecular groups are obtained for the proximal femur. Finally, the model is tested in pathological cases, such as osteoporosis and osteopetrosis, yielding results similar to the pathology behavior. Furthermore, the discrete modelling technique is shown to be of use in this particular application.
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Affiliation(s)
- Diego Quexada
- Université de technologie de Compiègne, CNRS, Biomechanics and Bioengineering, Centre de Recherche Royallieu, CS 60 319 - 60 203 Compiègne Cedex, France.,Numerical Methods and Modeling Research Group (GNUM), Universidad Nacional de Colombia
| | - Salah Ramtani
- Université Sorbonne Paris Nord, Laboratoire CSPBAT, équipe LBPS, CNRS (UMR 7244), Institut Galilée, F93430, Villetaneuse, France
| | - Olfa Trabelsi
- Université de technologie de Compiègne, CNRS, Biomechanics and Bioengineering, Centre de Recherche Royallieu, CS 60 319 - 60 203 Compiègne Cedex, France
| | | | - Marie-Christine
- Université de technologie de Compiègne, CNRS, Biomechanics and Bioengineering, Centre de Recherche Royallieu, CS 60 319 - 60 203 Compiègne Cedex, France
| | | | - Carlos Duque-Daza
- Numerical Methods and Modeling Research Group (GNUM), Universidad Nacional de Colombia
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8
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Quexada-Rodríguez D, Márquez-Flórez K, Cerrolaza M, Duque-Daza C, Trabelsi O, Velasco MA, Ramtani S, Ho-Ba-Tho MC, Garzón-Alvarado D. A simple and effective 1D-element discrete-based method for computational bone remodeling. Comput Methods Biomech Biomed Engin 2021; 25:176-192. [PMID: 34190673 DOI: 10.1080/10255842.2021.1943370] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Abstract
In-silico models applied to bone remodeling are widely used to investigate bone mechanics, bone diseases, bone-implant interactions, and also the effect of treatments of bone pathologies. This article proposes a new methodology to solve the bone remodeling problem using one-dimensional (1D) elements to discretize trabecular structures more efficiently for 2D and 3D domains. An Euler integration scheme is coupled with the momentum equations to obtain the evolution of material density at each step. For the simulations, the equations were solved by using the finite element method, and two benchmark tests were solved varying mesh parameters. Proximal femur and calcaneus bone were selected as study cases given the vast research available on the topology of these bones, and compared with the anatomical features of trabecular bone reported in the literature. The presented methodology has proven to be efficient in optimizing topologies of lattice structures; It can predict the trend of formation patterns of the main trabecular groups from two different cancellous bones (femur and calcaneus) using domains set up by discrete elements as a starting point. Preliminary results confirm that the proposed approach is suitable and useful in bone remodeling problems leading to a considerable computational cost reduction. Characteristics similar to those encountered in topological optimization algorithms were identified in the benchmark tests as well, showing the viability of the proposed approach in other applications such as bio-inspired design.
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Affiliation(s)
| | - Kalenia Márquez-Flórez
- Universidad Nacional de Colombia, Bogotá, Colombia.,Aix-Marseille Univ, CNRS, ISM, Marseille, France
| | - Miguel Cerrolaza
- Universitat Internacional de Catalunya, Barcelona, Spain.,Universitat Internacional de Valencia, Valencia, Spain
| | | | - Olfa Trabelsi
- Université de Technologie de Compiégne, Compiégne, France
| | - M A Velasco
- Universidad Nacional de Colombia, Bogotá, Colombia
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9
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Langueh C, Changotade S, Ramtani S, Lutomski D, Rohman G. Combination of in vitro thermally-accelerated ageing and Fourier-Transform Infrared spectroscopy to predict scaffold lifetime. Polym Degrad Stab 2021. [DOI: 10.1016/j.polymdegradstab.2020.109454] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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10
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Carrera-Pinzón AF, Márquez-Flórez K, Kraft RH, Ramtani S, Garzón-Alvarado DA. Computational model of a synovial joint morphogenesis. Biomech Model Mechanobiol 2019; 19:1389-1402. [PMID: 31863216 DOI: 10.1007/s10237-019-01277-4] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/25/2019] [Accepted: 12/08/2019] [Indexed: 11/30/2022]
Abstract
Joints enable the relative movement between the connected bones. The shape of the joint is important for the joint movements since they facilitate and smooth the relative displacement of the joint's parts. The process of how the joints obtain their final shape is yet not well understood. Former models have been developed in order to understand the joint morphogenesis leaning only on the mechanical environment; however, the obtained final anatomical shape does not match entirely with a realistic geometry. In this study, a computational model was developed with the aim of explaining how the morphogenesis of joints and shaping of ossification structures are achieved. For this model, both the mechanical and biochemical environments were considered. It was assumed that cartilage growth was controlled by cyclic hydrostatic stress and inhibited by octahedral shear stress. In addition, molecules such as PTHrP and Wnt promote chondrocyte proliferation and therefore cartilage growth. Moreover, the appearance of the primary and secondary ossification centers was also modeled, for which the osteogenic index and PTHrP-Ihh concentrations were taken into account. The obtained results from this model show a coherent final shape of an interphalangeal joint, which suggest that the mechanical and biochemical environments are crucial for the joint morphogenesis process.
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Affiliation(s)
| | - Kalenia Márquez-Flórez
- Department of Mechanical and Mechatronic Engineering, Universidad Nacional de Colombia, Bogotá, Colombia. .,Biomimetics Laboratory, Instituto de Biotecnología, Universidad Nacional de Colombia, Bogotá, Colombia. .,Numerical Methods and Modeling Research Group (GNUM), Universidad Nacional de Colombia, Bogotá, Colombia.
| | - Reuben H Kraft
- Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, USA.,Department of Biomedical Engineering, The Pennsylvania State University, University Park, USA
| | - Salah Ramtani
- Laboratoire CSPBAT, équipe LBPS, CNRS (UMR 7244), Université Paris 13, Villetaneuse, France
| | - Diego Alexander Garzón-Alvarado
- Department of Mechanical and Mechatronic Engineering, Universidad Nacional de Colombia, Bogotá, Colombia.,Biomimetics Laboratory, Instituto de Biotecnología, Universidad Nacional de Colombia, Bogotá, Colombia.,Numerical Methods and Modeling Research Group (GNUM), Universidad Nacional de Colombia, Bogotá, Colombia
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11
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Rohman G, Changotade S, Frasca S, Ramtani S, Consalus A, Langueh C, Collombet JM, Lutomski D. In vitro and in vivo proves of concept for the use of a chemically cross-linked poly(ester-urethane-urea) scaffold as an easy handling elastomeric biomaterial for bone regeneration. Regen Biomater 2019; 6:311-323. [PMID: 31827885 PMCID: PMC6897339 DOI: 10.1093/rb/rbz020] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/15/2019] [Revised: 03/01/2019] [Accepted: 03/22/2019] [Indexed: 11/13/2022] Open
Abstract
Bone loss can occur as a result of various pathologies, traumas and injuries and poor bone healing leads to functionally debilitating condition, loss of self-sufficiency and deterioration in life quality. Given the increasing incidence of facial trauma and the emergence of new procedural techniques, advanced scaffolds are currently developed as substitutes for bone tissue engineering. In this study, we investigated the capability of a chemically cross-linked ε-caprolactone-based poly(ester-urethane-urea) (PCLU) scaffold to support bone regeneration. In vitro assays demonstrated that PCLU scaffolds could be colonized by cells through direct cell seeding and cell migration from outside to scaffold inside. Moreover, PCLU scaffolds could provide a suitable environment for stem cells proliferation in a 3D spatial arrangement, and allowed osteogenic differentiation under appropriate induction. In vivo results revealed the osteogenic properties of PCLU scaffolds through a drilled-hole femoral bone defect repair improvement in rats. Using histology and microtomography analysis, we showed that PCLU scaffolds fit well the bone cavity and were eventually entrapped between the newly formed trabeculae. Finally, no sign of inflammation or rejection was noticed. We envision that PCLU scaffolds can provide the clinicians with a substitute having appropriate characteristics for the treatment of bone defects.
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Affiliation(s)
- Géraldine Rohman
- Université Paris 13, Sorbonne Paris Cité, Tissue Engineering and Proteomics (TIP) Team, CSPBAT, UMR CNRS 7244, 74 rue Marcel Cachin, 93000 Bobigny, France
| | - Sylvie Changotade
- Université Paris 13, Sorbonne Paris Cité, Tissue Engineering and Proteomics (TIP) Team, CSPBAT, UMR CNRS 7244, 74 rue Marcel Cachin, 93000 Bobigny, France
| | - Sophie Frasca
- Département Soutien Médico-Chirurgical des Forces (SMCF), BP73, Institut de Recherche Biomédicale des Armées (IRBA), 91223 Brétigny-sur-Orge Cedex, France
| | - Salah Ramtani
- Université Paris 13, Sorbonne Paris Cité, LBPS Team, CSPBAT, UMR CNRS 7244, 99 Avenue Jean-Baptiste Clément, 93430 Villetaneuse, France
| | - Anne Consalus
- Université Paris 13, Sorbonne Paris Cité, Tissue Engineering and Proteomics (TIP) Team, CSPBAT, UMR CNRS 7244, 74 rue Marcel Cachin, 93000 Bobigny, France
| | - Credson Langueh
- Université Paris 13, Sorbonne Paris Cité, Tissue Engineering and Proteomics (TIP) Team, CSPBAT, UMR CNRS 7244, 74 rue Marcel Cachin, 93000 Bobigny, France
| | - Jean-Marc Collombet
- Département Soutien Médico-Chirurgical des Forces (SMCF), BP73, Institut de Recherche Biomédicale des Armées (IRBA), 91223 Brétigny-sur-Orge Cedex, France
| | - Didier Lutomski
- Université Paris 13, Sorbonne Paris Cité, Tissue Engineering and Proteomics (TIP) Team, CSPBAT, UMR CNRS 7244, 74 rue Marcel Cachin, 93000 Bobigny, France
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12
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Amokrane G, Humblot V, Jubeli E, Yagoubi N, Ramtani S, Migonney V, Falentin-Daudré C. Electrospun Poly(ε-caprolactone) Fiber Scaffolds Functionalized by the Covalent Grafting of a Bioactive Polymer: Surface Characterization and Influence on in Vitro Biological Response. ACS Omega 2019; 4:17194-17208. [PMID: 31656893 PMCID: PMC6811844 DOI: 10.1021/acsomega.9b01647] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/05/2019] [Accepted: 07/19/2019] [Indexed: 05/10/2023]
Abstract
The purpose of this study is to present the poly(caprolactone) (PCL) functionalization by the covalent grafting of poly(sodium styrene sulfonate) on electrospun scaffolds using the "grafting from" technique and evaluate the effect of the coating and surface wettability on the biological response. The "grafting from" technique required energy (thermal or UV) to induce the decomposition of the PCL (hydro)peroxides and generate radicals able to initiate the polymerization of NaSS. In addition, UV irradiation was used to initiate the radical polymerization of NaSS directly from the surface (UV direct "grafting from"). The interest of these two techniques is their easiness, the reduction of the number of process steps, and its applicability to the industry. The selected parameters allow controlling the grafting rate (i.e., degree of functionalization). The aim of the study was to compare two covalent grafting in terms of surface functionalization and hydrophilicity and their effect on the in vitro biological responses of fibroblasts. The achieved results showed the influence of the sulfonate functional groups on the cell response. In addition, outcomes highlighted that the UV direct "grafting from" method allows to moderate the amount of sulfonate groups and the surface hydrophilicity presents a considerable interest for covalently immobilizing bioactive polymers onto electrospun scaffolds designed for tissue engineering applications using efficient post-electrospinning chemical modification.
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Affiliation(s)
- Gana Amokrane
- Université
Paris 13 Sorbonne Paris Cité, Laboratoire CSPBAT, équipe
LBPS, CNRS (UMR 7244), Institut Galilée, 93430 Villetaneuse, France
| | - Vincent Humblot
- Sorbonne Université, Caboratoire
de Réactivité de Surface, UMR CNRS 7197, 4 place Jussieu, 75252 Paris Cedex 05, France
| | - Emile Jubeli
- Laboratoire Matériaux et Santé EA 401,
UFR de Pharmacie, Université Paris-Sud, 92290 Châtenay-Malabry, France
| | - Najet Yagoubi
- Laboratoire Matériaux et Santé EA 401,
UFR de Pharmacie, Université Paris-Sud, 92290 Châtenay-Malabry, France
| | - Salah Ramtani
- Université
Paris 13 Sorbonne Paris Cité, Laboratoire CSPBAT, équipe
LBPS, CNRS (UMR 7244), Institut Galilée, 93430 Villetaneuse, France
| | - Véronique Migonney
- Université
Paris 13 Sorbonne Paris Cité, Laboratoire CSPBAT, équipe
LBPS, CNRS (UMR 7244), Institut Galilée, 93430 Villetaneuse, France
| | - Céline Falentin-Daudré
- Université
Paris 13 Sorbonne Paris Cité, Laboratoire CSPBAT, équipe
LBPS, CNRS (UMR 7244), Institut Galilée, 93430 Villetaneuse, France
- E-mail:
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13
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Rohman G, Langueh C, Ramtani S, Lataillade JJ, Lutomski D, Senni K, Changotade S. The Use of Platelet-Rich Plasma to Promote Cell Recruitment into Low-Molecular-Weight Fucoidan-Functionalized Poly(Ester-Urea-Urethane) Scaffolds for Soft-Tissue Engineering. Polymers (Basel) 2019; 11:E1016. [PMID: 31181822 PMCID: PMC6631166 DOI: 10.3390/polym11061016] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/24/2019] [Revised: 05/23/2019] [Accepted: 06/07/2019] [Indexed: 01/12/2023] Open
Abstract
Due to their elastomeric behavior, polyurethane-based scaffolds can find various applications in soft-tissue engineering. However, their relatively inert surface has to be modified in order to improve cell colonization and control cell fate. The present study focuses on porous biodegradable scaffolds based on poly(ester-urea-urethane), functionalized concomitantly to the scaffold elaboration with low-molecular-weight (LMW) fucoidan; and their bio-activation with platelet rich plasma (PRP) formulations with the aim to promote cell response. The LMW fucoidan-functionalization was obtained in a very homogeneous way, and was stable after the scaffold sterilization and incubation in phosphate-buffered saline. Biomolecules from PRP readily penetrated into the functionalized scaffold, leading to a biological frame on the pore walls. Preliminary in vitro assays were assessed to demonstrate the improvement of scaffold behavior towards cell response. The scaffold bio-activation drastically improved cell migration. Moreover, cells interacted with all pore sides into the bio-activated scaffold forming cell bridges across pores. Our work brought out an easy and versatile way of developing functionalized and bio-activated elastomeric poly(ester-urea-urethane) scaffolds with a better cell response.
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Affiliation(s)
- Géraldine Rohman
- Tissue Engineering and Proteomics (TIP) team, CSPBAT UMR CNRS 7244, Université Paris 13, Sorbonne Paris Cité, 74 rue Marcel Cachin, 93000 Bobigny, France.
| | - Credson Langueh
- Tissue Engineering and Proteomics (TIP) team, CSPBAT UMR CNRS 7244, Université Paris 13, Sorbonne Paris Cité, 74 rue Marcel Cachin, 93000 Bobigny, France.
| | - Salah Ramtani
- LBPS team, CSPBAT UMR CNRS 7244, Université Paris 13, Sorbonne Paris Cité, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse, France.
| | - Jean-Jacques Lataillade
- Institut de Recherche Biomédicale des Armées, Unité de Thérapie Cellulaire et Réparation Tissulaire, Site du Centre de Transfusion Sanguine des Armées "Jean Julliard" de Clamart, BP 73, 91223 Brétigny-sur-Orge Cedex, France.
| | - Didier Lutomski
- Tissue Engineering and Proteomics (TIP) team, CSPBAT UMR CNRS 7244, Université Paris 13, Sorbonne Paris Cité, 74 rue Marcel Cachin, 93000 Bobigny, France.
| | - Karim Senni
- Ecole de biologie Industrielle, 49 avenue des Genottes, 95885 Cergy Cedex, France.
| | - Sylvie Changotade
- Tissue Engineering and Proteomics (TIP) team, CSPBAT UMR CNRS 7244, Université Paris 13, Sorbonne Paris Cité, 74 rue Marcel Cachin, 93000 Bobigny, France.
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Rohman G, Ramtani S, Changotade S, Langueh C, Lutomski D, Roussigné Y, Tétard F, Caupin F, Djemia P. Characterization of elastomeric scaffolds developed for tissue engineering applications by compression and nanoindentation tests, μ-Raman and μ-Brillouin spectroscopies. Biomed Opt Express 2019; 10:1649-1659. [PMID: 31086698 PMCID: PMC6485004 DOI: 10.1364/boe.10.001649] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/03/2018] [Revised: 02/10/2019] [Accepted: 02/17/2019] [Indexed: 05/03/2023]
Abstract
In tissue engineering, porous biodegradable scaffolds are developed with morphological, chemical and mechanical properties to promote cell response. Therefore, the scaffold characterization at a (sub)micrometer and (bio)molecular level is paramount since cells are sensitive to the chemical signals, the rigidity, and the spatial structuring of their microenvironment. In addition to the analysis at room temperature by conventional quasi-static (0.1-45 Hz) mechanical tests, the ultrasonic (10 MHz) and μ-Brillouin inelastic light scattering (13 GHz) were used in this study to assess the dynamical viscoelastic parameters at different frequencies of elastomeric scaffolds. Time-temperature superposition principle was used to increase the high frequency interval (100 MHz-100 THz) of Brillouin experiments providing a mean to analyse the viscoelastic behavior with the fractional derivative viscoelastic model. Moreover, the μ-Raman analysis carried out simultaneously during the μ-Brillouin experiment, gave the local chemical composition.
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Affiliation(s)
- Géraldine Rohman
- Laboratoire Chimie, Structures, Propriétés de Biomatériaux et d’Agents Thérapeutiques CSPBAT UMR7244 CNRS, Université Paris 13, Villetaneuse ,
France
- Institut Interdisciplinaire des Sciences Expérimentales, Université Paris 13, Villetaneuse,
France
| | - Salah Ramtani
- Laboratoire Chimie, Structures, Propriétés de Biomatériaux et d’Agents Thérapeutiques CSPBAT UMR7244 CNRS, Université Paris 13, Villetaneuse ,
France
- Institut Interdisciplinaire des Sciences Expérimentales, Université Paris 13, Villetaneuse,
France
| | - Sylvie Changotade
- Laboratoire Chimie, Structures, Propriétés de Biomatériaux et d’Agents Thérapeutiques CSPBAT UMR7244 CNRS, Université Paris 13, Villetaneuse ,
France
- Institut Interdisciplinaire des Sciences Expérimentales, Université Paris 13, Villetaneuse,
France
| | - Credson Langueh
- Laboratoire Chimie, Structures, Propriétés de Biomatériaux et d’Agents Thérapeutiques CSPBAT UMR7244 CNRS, Université Paris 13, Villetaneuse ,
France
- Institut Interdisciplinaire des Sciences Expérimentales, Université Paris 13, Villetaneuse,
France
| | - Didier Lutomski
- Laboratoire Chimie, Structures, Propriétés de Biomatériaux et d’Agents Thérapeutiques CSPBAT UMR7244 CNRS, Université Paris 13, Villetaneuse ,
France
- Institut Interdisciplinaire des Sciences Expérimentales, Université Paris 13, Villetaneuse,
France
| | - Yves Roussigné
- Laboratoire des Sciences des Procédés et des Matériaux LSPM-CNRS 3407, Sorbonne Paris Cité, Villetaneuse,
France
| | - Florent Tétard
- Laboratoire des Sciences des Procédés et des Matériaux LSPM-CNRS 3407, Sorbonne Paris Cité, Villetaneuse,
France
| | - Fréderic Caupin
- Université de Lyon, Université Claude Bernard, Lyon 1, CNRS, Institut Lumiére Matiére, F-69622,
Villeurbanne, France
| | - Philippe Djemia
- Institut Interdisciplinaire des Sciences Expérimentales, Université Paris 13, Villetaneuse,
France
- Laboratoire des Sciences des Procédés et des Matériaux LSPM-CNRS 3407, Sorbonne Paris Cité, Villetaneuse,
France
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15
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Amokrane G, Falentin-Daudré C, Ramtani S, Migonney V. A Simple Method to Functionalize PCL Surface by Grafting Bioactive Polymers Using UV Irradiation. Ing Rech Biomed 2018. [DOI: 10.1016/j.irbm.2018.07.002] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
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16
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Ramtani S, Bennaceur H, Outtas T. Elastic bone-column buckling including bone density gradient effect within the context of adaptive elasticity. Ing Rech Biomed 2015. [DOI: 10.1016/j.irbm.2015.07.004] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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17
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Abstract
An ultrafine-grained nickel material is stronger and more thermally stable than previously reported materials of this kind.
[Also see Report by
Liu
et al.
]
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Affiliation(s)
- Salah Ramtani
- Université Paris 13, LSPM-UPR CNRS 3407, Institut Galilée, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse, France
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18
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Ramtani S. Parametric sensitivity analysis applied to a specific one-dimensional internal bone remodelling problem. Comput Biol Med 2007; 37:1203-9. [PMID: 17184762 DOI: 10.1016/j.compbiomed.2006.10.013] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/04/2005] [Revised: 03/27/2006] [Accepted: 10/30/2006] [Indexed: 10/23/2022]
Abstract
The relative importance of the various parameters in inducing bone mass loss and osteoclastic perforations is still controversial. Therefore, there is a significant motivation to better understand the parameters behind such dynamic response, and great interest to carry out a parametric sensitivity study as it can provide useful information. As an application, the widely-accepted bone remodelling equation [M.G. Mullender, R. Huiskes, H. Weinans, A physiological approach to the simulation of bone remodeling as self organizational control process, J. Biomech. 27 (1994) 1389.] is investigated using the "n units" model [M. Zidi, S. Ramtani, Bone remodeling theory applied to the study of n unit-elements model, J Biomech. 32 (1999) 743.]. This analysis pointed out that the power in the modulus density relationship p and the power to which density is raised in normalizing the energy stimulus q, known as strongly implicated in the stability condition of the remodelling process, were also stated as insensitive parameters in the bone loss area.
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Affiliation(s)
- S Ramtani
- Laboratoire PMTM, CNRS UPR 9001, Institut Galilée, Université Paris Nord, 99 Avenue J-B Clément, 93430 Villetaneuse, France.
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19
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Ramtani S. Mechanical modelling of cell/ECM and cell/cell interactions during the contraction of a fibroblast-populated collagen microsphere: theory and model simulation. J Biomech 2005; 37:1709-18. [PMID: 15388313 DOI: 10.1016/j.jbiomech.2004.01.028] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 01/30/2004] [Indexed: 10/26/2022]
Abstract
The cell-derived forces generated during wound healing may be beneficial in reducing the wound size by contraction, but are also detrimental because of the high mechanical stresses in and around the scar that can cause pain, disfigurement and loss of tissue function. The fibroblasts seeded collagen matrix is regarded as an in vitro model for this process and as a suitable way to study these mechanical aspects which are poorly understood. It is proposed here, to improve the continuum theory of Murray-Oster by assuming that more than one control system may be operative in wound contraction regulation. In particular, it is suggested that the wound contraction mechanism is not exclusively due to cell/ECM interaction forces but rather that both ECM/cell and the cell/cell interactions operate together in such process.
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Affiliation(s)
- S Ramtani
- Laboratoire de Biomécanique et Biomatériaux Ostéo-Articulaires, UMR CNRS 7052, Université Paris XII Val de Marne, Faculté des Sciences et Technologie, 61 Avenue du Général De Gaulle, Creteil 94010, France.
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20
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Ramtani S, Abdi M. Buckling of adaptive elastic bone-plate: theoretical and numerical investigation. Biomech Model Mechanobiol 2005; 3:200-8. [PMID: 15668767 DOI: 10.1007/s10237-004-0056-5] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/23/2003] [Accepted: 10/13/2004] [Indexed: 10/25/2022]
Abstract
During day-to-day activities, many bones in the axial and appendicular skeleton are subjected to repetitive, cyclic loading that often results directly in an increased risk of bone fracture. In clinical orthopedics, trabecular fatigue fractures are observed as compressive stress fractures in the proximal femur, vertebrae, calcaneus and tibia, that are often preceded by buckling and bending of microstructural elements (Müller et al. in J Biomechanics 31:150 1998; Gibson in J Biomechanics 18:317-328 1985; Gibson and Ashby in Cellular solids 1997; Lotz et al. in Osteoporos Int 5:252-261 1995; Carter and Hayes in Science 194:1174-1176 1976). However, the relative importance of bone density and architecture in the etiology of these fractures are poorly understood and consequently not investigated from a biomechanical point of view. In the present contribution, an attempt is made to formulate a bone-plate buckling theory using Cowin's concepts of adaptive elasticity (Cowin and Hegedus in J Elast 6:313-325 1976; Hegedus and Cowin J Elast 6:337-352 1976). In particular, the buckling problem of a Kirchhoff-Love bone plate is investigated numerically by using the finite difference method and an iterative solving approach (Chen in Comput Methods Appl Mech Eng 167:91-99 1998; Hildebland in Introduction to numerical analysis 1974; Richtmyer and Morton in Difference methods for initial-value problems 1967).
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Affiliation(s)
- S Ramtani
- Laboratoire des Propriétés Mécaniques et Thermodynamiques des Matériaux/CNRS UPR 9001, Université Paris Nord, Institut Galilée, 99 avenue Jean-Baptiste Clément, 93430, Villetaneuse, France.
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21
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Ramtani S, Garcia JM, Doblare M. Computer simulation of an adaptive damage-bone remodeling law applied to three unit-bone bars structure. Comput Biol Med 2004; 34:259-73. [PMID: 15047436 DOI: 10.1016/s0010-4825(03)00057-x] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/28/2002] [Accepted: 05/07/2003] [Indexed: 11/16/2022]
Abstract
It is well admitted that the mechanical loading plays an important role in the growth and maintenance of our skeleton, and that microdamage (i.e.: microcracks) occurs naturally when the bone is overloaded during day-to-day activities. It is also argued, from experimental and theoretical viewpoint, that the cells which built and rebuilt the skeleton are sensitive for both strain and microdamage. The recent damage-bone remodeling theory is employed here to study the mechanical response of the three unit-bone bars that simulate bone trabeculae in the form of truss. It is shown that under constant load, such a structure exhibit inhomogeneous strain and it's response to external applied load depends strongly upon the manner in which the microdamage is distributed.
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Affiliation(s)
- S Ramtani
- Université Paris Val de Marne, Faculté des Sciences et Technologie, Laboratoire de Biomécanique et Biomatériaux Osseux et Articulaires/CNRS UMR 7052, 61 avenue du général De Gaulle, 94010 Créteil cédex, France.
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22
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Abstract
It is well known that the fibroblast-collagen-matrix contraction model is a unique way to study mechanical interactions that regulate wound contraction of connective tissue cells. This contraction, due to cell traction, plays important roles in wound healing and pathological contractures. A continuum model initially used for the study of mesenchymal morphogenesis is revisited and numerically investigated by assuming that the extracellular matrix has adaptive-elastic properties. The set of non-linear partial differential equations is solved numerically by a finite difference method and the obtained results are discussed.
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Affiliation(s)
- S Ramtani
- Laboratoire de Biomécanique Biomatériaux Osseux et Articulaires-UMR CNRS 7052, Faculté des Sciences et Technologie, Université Paris XII Val de Marne, 61 Avenue du Général de Gaulle, 94010 Cedex, Creteil, France.
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23
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Abstract
In this work an extension of the adaptive-elasticity theory is proposed in order to include the contribution of bone microdamage as a stimulus. Some aspects of damaged-bone tissue adaptation, brought about by a change of the daily loading history, are investigated. In particular, under the assumption of a small strain approximation and isothermal conditions, the solution of the remodeling rate equation for steady homogeneous stress is discussed and the damage effect upon the remodeling time constant is shown. The result is both theoretical and numerical, based on a recent theory of internal damaged-bone remodeling (Ramtani, S., and Zidi, M., 1999, "Damaged-Bone Remodeling Theory: Thermodynamical Approach, " Mechanics Research Communications, Vol. 26, pp. 701-708. Ramtani, S., and Zidi, M., 2001, "A Theoretical Model of the Effect of Continum Damage on a Bone Adaption Model," Journal of Biomechanics, Vol. 34, pp. 471-479) and motivated by the works of Cowin, S. C., and Hegedus, D. M., 1976, "Bone Remodeling I: Theory and Adaptive Elasticity," Journal of Elasticity, Vol. 6, pp. 471-479 and Hegedus, D. H., and Cowin, S. C., 1976, "Bone Remodeling II: Small Strain Adaptive Elasticity," Journal of Elasticity, Vol. 6, pp. 337-352.
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Affiliation(s)
- S Ramtani
- Université Paris Val de Marne, Faculté des Sciences et Technologie, laboratoire de Biomécanique, Biomatériaux Osseux et Articulaires/CNRS ESA 7052, Créteil, France.
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Abstract
Throughout life, bone is continuously turning over by the well-regulated processes of bone formation and resorption. Everyday activities damage bone, and this damage is normally repaired in a continuous remodelling process. When an imbalance in this remodelling process occurs, bones may become more susceptible to fracture. This paper is devoted to a theoretical modelling of the competition between damage and internal remodelling in bones. The general theory of adaptive damaged-elastic materials proposed here as a model for the physiological process of damaged-bone remodelling follows the general framework of continuum thermodynamics where new damaged-bone remodelling law and associated thermodynamical restrictions are stated, and specialized to the case of small strain in isothermal processes. An attempt is also made to derive: (a) the damage force (adaptive damage energy release rate ) which controls the microcracks propagation and arrest, and (b) the damage rule by introducing damage thresholds and loading/unloading conditions.
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Affiliation(s)
- S Ramtani
- Laboratoire de Mécanique Physique/CNRS ESA 7052, Faculté des Sciences et Technologie, Université Paris Val de Marne, 61, avenue du général De Gaulle, 94010 Creteil Cedex, France.
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Abstract
Bone remodeling is widely viewed as a dynamic process--maintaining bone structure through a balance between the opposed activities of osteoblast and osteoclast cells--in which the stability problem is often pointed out. By an analytical approach, we present a bone remodeling model applied to n unit-elements in order to analyze the stationary states and the condition of their stability. In addition, this theory has been simulated in a computer model using the Finite Element Method (FEM) to show a relationship between the bone remodeling process and the stability analysis.
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Affiliation(s)
- M Zidi
- Université Paris Val de Marne, Faculté des Sciences et Technologie, Laboratoire de Mécanique Physique/ESA CNRS 7052 61, av. du général De Gaulle, 94010 Créteil, France.
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Abstract
The aim of this paper is to illustrate the application of mathematical tools for the analysis of non-linear dynamical systems to the study of global stability of one kind of bone remodeling scheme applied to n unit-elements model. The particular aspects analyzed here are the stationary states related to this theory and a condition of their stability. The non-linear equations governing the remodeling process are solved by finite-difference method and the well-known results on the heterogeneous spatial organizations have been retrieved and confirm the analytical study. This kind of remodeling theory is useful for investigating the effects of physiological parameters on the development, maintenance, and adaptation of bone under mechanical loading.
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Affiliation(s)
- M Zidi
- Laboratoire de Mécanique Physique-Faculté des Sciences et Technologie, Université Paris Val de Marne, Créteil, France.
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Ramtani S, Berthaud Y, Mazars J. Orthotropic behavior of concrete with directional aspects: modelling and experiments. Nuclear Engineering and Design 1992. [DOI: 10.1016/0029-5493(92)90094-c] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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