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Sergesketter AR, Tian WM, Barrow BE, Morris MX, Langdell HC, Shammas RL, Geng Y, Rezak K, Sisk GC, Phillips BT. Air or Saline? A Propensity Score-Matched Analysis on the Effect of Tissue Expander Fill on Complications in Immediate Breast Reconstruction. Ann Surg Oncol 2023; 30:6545-6553. [PMID: 37330449 DOI: 10.1245/s10434-023-13763-2] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/07/2023] [Accepted: 05/31/2023] [Indexed: 06/19/2023]
Abstract
BACKGROUND Tissue expander fill medium and volume have implications for the pressure exerted on mastectomy skin flaps. This study evaluated the influence of initial fill medium (air vs. saline) on complications in immediate breast reconstruction within a propensity score-matched cohort. PATIENTS AND METHODS Patients undergoing immediate tissue expander-based breast reconstruction with initial intraoperative fill with air were propensity score matched 1:2 to those with saline initial fill based on patient and tissue expander characteristics. Incidence of overall and ischemic complications were compared by fill medium (air vs. saline). RESULTS A total of 584 patients were included, including 130 (22.2%) with initial fill with air, 377 (64.6%) with initial fill with saline, and 77 (13.2%) with 0 cc of initial fill. After multivariate adjustment, higher intraoperative fill volume was associated with increased risk of mastectomy skin flap necrosis [regression coefficient (RC) 15.7; p = 0.049]. Propensity score matching was then conducted among 360 patients (Air: 120 patients vs. Saline: 240 patients). After propensity score matching, there were no significant differences in the incidences of mastectomy skin flap necrosis, extrusion, reoperation, or readmission between the air and saline cohorts (all p > 0.05). However, initial fill with air was associated with lower incidence of infection requiring oral antibiotics (p = 0.003), seroma (p = 0.004), and nipple necrosis (p = 0.03). CONCLUSIONS Within a propensity score-matched cohort, initial fill with air was associated with a lower incidence of complications, including ischemic complications after nipple-sparing mastectomy. Initial fill with air and lower fill volumes may be strategies to reducing risk of ischemic complications among high-risk patients.
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Affiliation(s)
- Amanda R Sergesketter
- Division of Plastic, Maxillofacial, and Oral Surgery, Duke University, Durham, NC, USA
- Calc LLC, Wilton, CT, USA
| | - William M Tian
- Duke University School of Medicine, Durham, NC, USA
- Calc LLC, Wilton, CT, USA
| | - Brooke E Barrow
- Division of Plastic, Maxillofacial, and Oral Surgery, Duke University, Durham, NC, USA
- Calc LLC, Wilton, CT, USA
| | - Miranda X Morris
- Duke University School of Medicine, Durham, NC, USA
- Duke Pratt School of Engineering, Durham, NC, USA
- Calc LLC, Wilton, CT, USA
| | - Hannah C Langdell
- Division of Plastic, Maxillofacial, and Oral Surgery, Duke University, Durham, NC, USA
- Calc LLC, Wilton, CT, USA
| | - Ronnie L Shammas
- Division of Plastic, Maxillofacial, and Oral Surgery, Duke University, Durham, NC, USA
- Calc LLC, Wilton, CT, USA
| | - Yisong Geng
- Duke Pratt School of Engineering, Durham, NC, USA
- Calc LLC, Wilton, CT, USA
| | - Kristen Rezak
- Division of Plastic, Maxillofacial, and Oral Surgery, Duke University, Durham, NC, USA
- Calc LLC, Wilton, CT, USA
| | - Geoffroy C Sisk
- Division of Plastic, Maxillofacial, and Oral Surgery, Duke University, Durham, NC, USA
- Calc LLC, Wilton, CT, USA
| | - Brett T Phillips
- Division of Plastic, Maxillofacial, and Oral Surgery, Duke University, Durham, NC, USA.
- Calc LLC, Wilton, CT, USA.
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2
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Numerical simulation of mechanical tests on a living skin using anisotropic hyperelastic law. J Mech Behav Biomed Mater 2023; 141:105755. [PMID: 36898353 DOI: 10.1016/j.jmbbm.2023.105755] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/05/2022] [Revised: 02/27/2023] [Accepted: 03/03/2023] [Indexed: 03/08/2023]
Abstract
The skin is a living tissue that behaves in a hyperelastic and anisotropic way. A constitutive law called HGO-Yeoh is proposed to model the skin by improving the classical HGO constitutive law. This model is implemented in a finite element code FER "Finite Element Research" to benefit from its tools, including the bipotential contact method, a very efficient function coupling contact and friction. Identifying the skin-related material parameters is done through an optimisation procedure using analytic and experimental data. A tensile test is simulated using the codes FER and ANSYS. Then, the results are compared with the experimental data. Finally, a simulation of an indentation test using a bipotential contact law is done.
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3
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Pan W, Roccabianca S, Basson MD, Bush TR. Influences of sodium and glycosaminoglycans on skin oedema and the potential for ulceration: a finite-element approach. ROYAL SOCIETY OPEN SCIENCE 2019; 6:182076. [PMID: 31417698 PMCID: PMC6689624 DOI: 10.1098/rsos.182076] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 01/25/2019] [Accepted: 06/03/2019] [Indexed: 06/10/2023]
Abstract
Venous ulcers are chronic transcutaneous wounds common in the lower legs. They are resistant to healing and have a 78% chance of recurrence within 2 years. It is commonly accepted that venous ulcers are caused by the insufficiency of the calf muscle pump, leading to blood pooling in the lower legs, resulting in inflammation, skin oedema, tissue necrosis and eventually skin ulceration. However, the detailed physiological events by which inflammation contributes to wound formation are poorly understood. We therefore sought to develop a model that simulated the inflammation, using it to determine the internal stresses and pressure on the skin that contribute to venous ulcer formation. A three-layer finite-element skin model (epidermis, dermis and hypodermis) was developed to explore the roles in wound formation of two inflammation identifiers: glycosaminoglycans (GAG) and sodium. A series of parametric studies showed that increased GAG and sodium content led to oedema and increased tissue stresses of 1.5 MPa, which was within the reported range of skin tissue ultimate tensile stress (0.1-40 MPa). These results suggested that both the oedema and increased fluid pressure could reach a threshold for tissue damage and eventual ulcer formation. The models presented here provide insights to the pathological events associated with venous insufficiency, including inflammation, oedema and skin ulceration.
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Affiliation(s)
- Wu Pan
- Department of Mechanical Engineering, Michigan State University, 428 South Shaw Lane, Room 2555, East Lansing, MI 48824, USA
| | - Sara Roccabianca
- Department of Mechanical Engineering, Michigan State University, 428 South Shaw Lane, Room 2555, East Lansing, MI 48824, USA
| | - Marc D. Basson
- Department of Surgery at the University of North Dakota School of Medicine and Health Sciences, Grand Forks, ND, USA
| | - Tamara Reid Bush
- Department of Mechanical Engineering, Michigan State University, 428 South Shaw Lane, Room 2555, East Lansing, MI 48824, USA
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Design, Manufacturing, and In Vitro Testing of a Patient-Specific Shape-Memory Expander for Nose Reconstruction With Forehead Flap Technique. J Craniofac Surg 2016; 27:188-90. [PMID: 26674894 DOI: 10.1097/scs.0000000000002251] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022] Open
Abstract
Forehead skin is widely acknowledged as a good donor site for total nasal reconstruction, thanks to its matching color, texture, and abundant vascularity. The forehead flap technique uses an axial pattern flap forehead skin to replace missing nasal tissue. To increase the amount of available tissue and reduce the size of the tissue defect after flap mobilization, tissue expanders may be used. Although this is a relatively established technique, limitations include reduced moldability of the forehead skin (which is thicker than the nasal skin), and the need for multiple sessions of expansion to achieve a sufficient yield to close the forehead.Shape-memory metals, such as nitinol, can be programmed to "remember" complex shapes. In this work, the methodology for producing a prototype of nitinol tissue expander able to mold the skin in a predetermined patient-specific skin shape is described. A realistic nose mold was manufactured using metal rapid prototyping; nitinol sheet and mesh were molded into nose-shape constructs, having hyperelastic as well as shape-memory capability. Computed tomography scanning was performed to assess the ability of the structure to regain its shape after phase transformation upon cooling within 2% of initial dimensions. The prototypes were implanted in a pig forehead to test its ability to impose a nose shape to the forehead skin.The shape-memory properties of nitinol offer the possibility of producing bespoke tissue expanders able to deliver complex, precisely designed skin envelopes. The hyperelastic properties of nitinol allow constant preprogrammed expansion forces to be generated throughout the expansion process.
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5
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Tepole AB, Gart M, Purnell CA, Gosain AK, Kuhl E. The Incompatibility of Living Systems: Characterizing Growth-Induced Incompatibilities in Expanded Skin. Ann Biomed Eng 2015; 44:1734-52. [PMID: 26416721 DOI: 10.1007/s10439-015-1467-4] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/05/2015] [Accepted: 09/22/2015] [Indexed: 02/02/2023]
Abstract
Skin expansion is a common surgical technique to correct large cutaneous defects. Selecting a successful expansion protocol is solely based on the experience and personal preference of the operating surgeon. Skin expansion could be improved by predictive computational simulations. Towards this goal, we model skin expansion using the continuum framework of finite growth. This approach crucially relies on the concept of incompatible configurations. However, aside from the classical opening angle experiment, our current understanding of growth-induced incompatibilities remains rather vague. Here we visualize and characterize incompatibilities in living systems using skin expansion in a porcine model: We implanted and inflated two expanders, crescent, and spherical, and filled them to 225 cc throughout a period of 21 days. To quantify the residual strains developed during this period, we excised the expanded skin patches and subdivided them into smaller pieces. Skin growth averaged 1.17 times the original area for the spherical and 1.10 for the crescent expander, and displayed significant regional variations. When subdivided into smaller pieces, the grown skin patches retracted heterogeneously and confirmed the existence of incompatibilities. Understanding skin growth through mechanical stretch will allow surgeons to improve-and ultimately personalize-preoperative treatment planning in plastic and reconstructive surgery.
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Affiliation(s)
- Adrian Buganza Tepole
- Department of Mechanical Engineering, Stanford University, Stanford, CA, 94305, USA.
| | - Michael Gart
- Lurie Children's Hospital, Northwestern University Feinberg School of Medicine, Chicago, IL, 60611, USA
| | - Chad A Purnell
- Lurie Children's Hospital, Northwestern University Feinberg School of Medicine, Chicago, IL, 60611, USA
| | - Arun K Gosain
- Lurie Children's Hospital, Northwestern University Feinberg School of Medicine, Chicago, IL, 60611, USA
| | - Ellen Kuhl
- Departments of Mechanical Engineering, Bioengineering, and Cardiothoracic Surgery, Stanford University, Stanford, CA, 94305, USA
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6
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Abstract
Introduction: Tissue expansion is a versatile technique for craniofacial soft tissue defects. It has been extremely useful to restore the form and function along with good esthetics that were otherwise unobtainable. Objectives: To review the use of tissue expansion in the craniofacial region, with particular emphasis on indication, site, days, volume of the defect and tissue expansion used along with complications. Materials and Methods: Retrospective review of data on 18 expanded flap reconstructions performed in 14 patients during the period 2008–2013. Tissue expanders were placed on a subcutaneous plane above the fascia and inflated weekly. The expanded skin was used as a transposition flap for the reconstruction. Data were collected from archival records and tabulated in SPSS. Descriptive statistics, Kruskal–Wallis and Mann–Whitney tests were applied as required and a P ≤ 0.05 was taken as significant. Results: Trauma contributed to greater number of defects (57.1%). The most common defect occurs in face/cheek compartment (57.15%) followed by nose (35.71%). Owing to ease of access and better results, more expanders have been placed in cheek (50%), followed by neck (33.33%). The mean defect size was 2983.58 ± 828.27 mm2, required 32.14 ± 6.31 days, 335.6 ± 156.51 ml in 5.29 ± 1.5 cycles of tissue expansion. The mean rate of expansion was 59.17 ± 16.27, 69.11 ± 30.19 and 62.6 ± 25.75 for forehead, face/cheek and neck cases respectively (P = 0.873). Discussion: Laxity of skin appears to be a good indicator of the rate of the expansion. The most favorable site for tissue expansion is cheek followed by neck. The study also shows that tissue expansion is an efficient and valuable technique for reconstruction of large craniofacial skin defects.
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Affiliation(s)
- S M Balaji
- Director and Consultant Maxillofacial Surgeon, Balaji Dental and Craniofacial Hospital, Teynampet, Chennai, Tamil Nadu, India
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7
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Tepole AB, Gart M, Gosain AK, Kuhl E. Characterization of living skin using multi-view stereo and isogeometric analysis. Acta Biomater 2014; 10:4822-4831. [PMID: 25016279 PMCID: PMC4186913 DOI: 10.1016/j.actbio.2014.06.037] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/17/2014] [Revised: 06/17/2014] [Accepted: 06/25/2014] [Indexed: 11/18/2022]
Abstract
Skin is our interface with the outside world. In its natural environment, it displays unique mechanical characteristics, such as prestretch and growth. While there is a general agreement on the physiological importance of these features, they remain poorly characterized, mainly because they are difficult to access with standard laboratory techniques. Here we present a new, inexpensive technique to characterize living skin using multi-view stereo and isogeometric analysis. Based on easy-to-create hand-held camera images, we quantify prestretch, deformation and growth in a controlled porcine model of chronic skin expansion. Over a period of 5 weeks, we gradually inflate an implanted tissue expander, take weekly photographs of the experimental scene, reconstruct the geometry from a tattooed surface grid and create parametric representations of the skin surface. After 5 weeks of expansion, our method reveals an average area prestretch of 1.44, an average area stretch of 1.87 and an average area growth of 2.25. Area prestretch is maximal in the ventral region with a value of 2.37, whereas area stretch and area growth are maximal above the center of the expander, with values of 4.05 and 4.81, respectively. Our study has immediate impact on understanding living skin to optimize treatment planning and decision making in plastic and reconstructive surgery. Beyond these direct implications, our experimental design has broad applications in clinical research and basic sciences: it serves as a simple, robust, low cost, easy-to-use tool to reconstruct living membranes, which are difficult to characterize in a conventional laboratory setup.
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Affiliation(s)
| | - Michael Gart
- Division of Pediatric Plastic Surgery, Lurie Children's Hospital of Northwestern University Feinberg School of Medicine, Chicago, IL 60611, USA
| | - Arun K Gosain
- Division of Pediatric Plastic Surgery, Lurie Children's Hospital of Northwestern University Feinberg School of Medicine, Chicago, IL 60611, USA
| | - Ellen Kuhl
- Departments of Mechanical Engineering, Bioengineering, and Cardiothoracic Surgery, Stanford University, Stanford, CA 94305, USA.
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8
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Kuhl E. Growing matter: a review of growth in living systems. J Mech Behav Biomed Mater 2013; 29:529-43. [PMID: 24239171 DOI: 10.1016/j.jmbbm.2013.10.009] [Citation(s) in RCA: 52] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/05/2013] [Revised: 10/05/2013] [Accepted: 10/09/2013] [Indexed: 12/26/2022]
Abstract
Living systems can grow, develop, adapt, and evolve. These phenomena are non-intuitive to traditional engineers and often difficult to understand. Yet, classical engineering tools can provide valuable insight into the mechanisms of growth in health and disease. Within the past decade, the concept of incompatible configurations has evolved as a powerful tool to model growing systems within the framework of nonlinear continuum mechanics. However, there is still a substantial disconnect between the individual disciplines, which explore the phenomenon of growth from different angles. Here we show that the nonlinear field theories of mechanics provide a unified concept to model finite growth by means of a single tensorial internal variable, the second order growth tensor. We review the literature and categorize existing growth models by means of two criteria: the microstructural appearance of growth, either isotropic or anisotropic; and the microenvironmental cues that drive the growth process, either chemical or mechanical. We demonstrate that this generic concept is applicable to a broad range of phenomena such as growing arteries, growing tumors, growing skin, growing airway walls, growing heart valve leaflets, growing skeletal muscle, growing plant stems, growing heart valve annuli, and growing cardiac muscle. The proposed approach has important biological and clinical applications in atherosclerosis, in-stent restenosis, tumor invasion, tissue expansion, chronic bronchitis, mitral regurgitation, limb lengthening, tendon tear, plant physiology, dilated and hypertrophic cardiomyopathy, and heart failure. Understanding the mechanisms of growth in these chronic conditions may open new avenues in medical device design and personalized medicine to surgically or pharmacologically manipulate development and alter, control, or revert disease progression.
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Affiliation(s)
- Ellen Kuhl
- Departments of Mechanical Engineering, Bioengineering, and Cardiothoracic Surgery, Stanford University, Stanford, CA, USA.
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9
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Holland MA, Kosmata T, Goriely A, Kuhl E. On the mechanics of thin films and growing surfaces. MATHEMATICS AND MECHANICS OF SOLIDS : MMS 2013; 18:561-575. [PMID: 36466793 PMCID: PMC9718492 DOI: 10.1177/1081286513485776] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/02/2023]
Abstract
Many living structures are coated by thin films, which have distinct mechanical properties from the bulk. In particular, these thin layers may grow faster or slower than the inner core. Differential growth creates a balanced interplay between tension and compression and plays a critical role in enhancing structural rigidity. Typical examples with a compressive outer surface and a tensile inner core are the petioles of celery, caladium, or rhubarb. While plant physiologists have studied the impact of tissue tension on plant rigidity for more than a century, the fundamental theory of growing surfaces remains poorly understood. Here, we establish a theoretical and computational framework for continua with growing surfaces and demonstrate its application to classical phenomena in plant growth. To allow the surface to grow independently of the bulk, we equip it with its own potential energy and its own surface stress. We derive the governing equations for growing surfaces of zero thickness and obtain their spatial discretization using the finite-element method. To illustrate the features of our new surface growth model we simulate the effects of growth-induced longitudinal tissue tension in a stalk of rhubarb. Our results demonstrate that different growth rates create a mechanical environment of axial tissue tension and residual stress, which can be released by peeling off the outer layer. Our novel framework for continua with growing surfaces has immediate biomedical applications beyond these classical model problems in botany: it can be easily extended to model and predict surface growth in asthma, gastritis, obstructive sleep apnoea, brain development, and tumor invasion. Beyond biology and medicine, surface growth models are valuable tools for material scientists when designing functionalized surfaces with distinct user-defined properties.
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Affiliation(s)
- Maria A Holland
- Department of Mechanical Engineering, Stanford University, Stanford, CA, USA
| | - Tim Kosmata
- Department of Mechanical Engineering, Stanford University, Stanford, CA, USA
| | - Alain Goriely
- Mathematical Institute, University of Oxford, Oxford, UK
| | - Ellen Kuhl
- Departments of Mechanical Engineering, Bioengineering, and Cardiothoracic Surgery, Stanford University, Stanford, CA, USA
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10
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Papastavrou A, Steinmann P, Kuhl E. On the mechanics of continua with boundary energies and growing surfaces. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 2013; 61:1446-1463. [PMID: 23606760 PMCID: PMC3627422 DOI: 10.1016/j.jmps.2013.01.007] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/02/2023]
Abstract
Many biological systems are coated by thin films for protection, selective absorption, or transmembrane transport. A typical example is the mucous membrane covering the airways, the esophagus, and the intestine. Biological surfaces typically display a distinct mechanical behavior from the bulk; in particular, they may grow at different rates. Growth, morphological instabilities, and buckling of biological surfaces have been studied intensely by approximating the surface as a layer of finite thickness; however, growth has never been attributed to the surface itself. Here, we establish a theory of continua with boundary energies and growing surfaces of zero thickness in which the surface is equipped with its own potential energy and is allowed to grow independently of the bulk. In complete analogy to the kinematic equations, the balance equations, and the constitutive equations of a growing solid body, we derive the governing equations for a growing surface. We illustrate their spatial discretization using the finite element method, and discuss their consistent algorithmic linearization. To demonstrate the conceptual differences between volume and surface growth, we simulate the constrained growth of the inner layer of a cylindrical tube. Our novel approach towards continua with growing surfaces is capable of predicting extreme growth of the inner cylindrical surface, which more than doubles its initial area. The underlying algorithmic framework is robust and stable; it allows to predict morphological changes due to surface growth during the onset of buckling and beyond. The modeling of surface growth has immediate biomedical applications in the diagnosis and treatment of asthma, gastritis, obstructive sleep apnoea, and tumor invasion. Beyond biomedical applications, the scientific understanding of growth-induced morphological instabilities and surface wrinkling has important implications in material sciences, manufacturing, and microfabrication, with applications in soft lithography, metrology, and flexible electronics.
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Affiliation(s)
- Areti Papastavrou
- Department of Electrical Engineering and Computer Sciences, Hochschule für Angewandte Wissenschaften Ingolstadt, 85049 Ingolstadt, Germany,
| | - Paul Steinmann
- Chair of Applied Mechanics, Department of Mechanical Engineering, University of Erlangen / Nuremberg, 91058 Erlangen, Germany,
| | - Ellen Kuhl
- Departments of Mechanical Engineering, Bioengineering, and Cardiothoracic Surgery, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA,
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11
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Zöllner AM, Holland MA, Honda KS, Gosain AK, Kuhl E. Growth on demand: reviewing the mechanobiology of stretched skin. J Mech Behav Biomed Mater 2013; 28:495-509. [PMID: 23623569 DOI: 10.1016/j.jmbbm.2013.03.018] [Citation(s) in RCA: 69] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/06/2012] [Revised: 03/15/2013] [Accepted: 03/19/2013] [Indexed: 02/03/2023]
Abstract
Skin is a highly dynamic, autoregulated, living system that responds to mechanical stretch through a net gain in skin surface area. Tissue expansion uses the concept of controlled overstretch to grow extra skin for defect repair in situ. While the short-term mechanics of stretched skin have been studied intensely by testing explanted tissue samples ex vivo, we know very little about the long-term biomechanics and mechanobiology of living skin in vivo. Here we explore the long-term effects of mechanical stretch on the characteristics of living skin using a mathematical model for skin growth. We review the molecular mechanisms by which skin responds to mechanical loading and model their effects collectively in a single scalar-valued internal variable, the surface area growth. This allows us to adopt a continuum model for growing skin based on the multiplicative decomposition of the deformation gradient into a reversible elastic and an irreversible growth part. To demonstrate the inherent modularity of this approach, we implement growth as a user-defined constitutive subroutine into the general purpose implicit finite element program Abaqus/Standard. To illustrate the features of the model, we simulate the controlled area growth of skin in response to tissue expansion with multiple filling points in time. Our results demonstrate that the field theories of continuum mechanics can reliably predict the manipulation of thin biological membranes through mechanical overstretch. Our model could serve as a valuable tool to rationalize clinical process parameters such as expander geometry, expander size, filling volume, filling pressure, and inflation timing to minimize tissue necrosis and maximize patient comfort in plastic and reconstructive surgery. While initially developed for growing skin, our model can easily be generalized to arbitrary biological structures to explore the physiology and pathology of stretch-induced growth of other living systems such as hearts, arteries, bladders, intestines, ureters, muscles, and nerves.
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12
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Abstract
Wound healing in the pediatric patient is of utmost clinical and social importance because hypertrophic scarring can have aesthetic and psychological sequelae, from early childhood to late adolescence. Wound healing is a well-orchestrated reparative response affecting the damaged tissue at the cellular, tissue, organ, and system scales. Although tremendous progress has been made toward understanding wound healing at the individual temporal and spatial scales, its effects across the scales remain severely understudied and poorly understood. Here, we discuss the critical need for systems-based computational modeling of wound healing across the scales, from short-term to long-term and from small to large. We illustrate the state of the art in systems modeling by means of three key signaling mechanisms: oxygen tension-regulating angiogenesis and revascularization; transforming growth factor-β (TGF-β) kinetics controlling collagen deposition; and mechanical stretch stimulating cellular mitosis and extracellular matrix (ECM) remodeling. The complex network of biochemical and biomechanical signaling mechanisms and the multiscale character of the healing process make systems modeling an integral tool in exploring personalized strategies for wound repair. A better mechanistic understanding of wound healing in the pediatric patient could open new avenues in treating children with skin disorders such as birth defects, skin cancer, wounds, and burn injuries.
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Affiliation(s)
| | - Ellen Kuhl
- Department of Mechanical Engineering, Stanford University, Stanford, CA 94305,Department of Bioengineering, Stanford University, Stanford, CA 94305
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13
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Tepole AB, Gosain AK, Kuhl E. Stretching skin: The physiological limit and beyond. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 2012; 47:938-949. [PMID: 23459410 PMCID: PMC3583021 DOI: 10.1016/j.ijnonlinmec.2011.07.006] [Citation(s) in RCA: 37] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/03/2023]
Abstract
The goal of this manuscript is to establish a novel computational model for skin to characterize its constitutive behavior when stretched within and beyond its physiological limits. Within the physiological regime, skin displays a reversible, highly nonlinear, stretch locking, and anisotropic behavior. We model these characteristics using a transversely isotropic chain network model composed of eight wormlike chains. Beyond the physiological limit, skin undergoes an irreversible area growth triggered through mechanical stretch. We model skin growth as a transversely isotropic process characterized through a single internal variable, the scalar-valued growth multiplier. To discretize the evolution of growth in time, we apply an unconditionally stable, implicit Euler backward scheme. To discretize it in space, we utilize the finite element method. For maximum algorithmic efficiency and optimal convergence, we suggest an inner Newton iteration to locally update the growth multiplier at each integration point. This iteration is embedded within an outer Newton iteration to globally update the deformation at each finite element node. To illustrate the characteristic features of skin growth, we first compare the two simple model problems of displacement- and force-driven growth. Then, we model the process of stretch-induced skin growth during tissue expansion. In particular, we compare the spatio-temporal evolution of stress, strain, and area gain for four commonly available tissue expander geometries. We believe that the proposed model has the potential to open new avenues in reconstructive surgery and rationalize critical process parameters in tissue expansion, such as expander geometry, expander size, expander placement, and inflation timing.
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Affiliation(s)
| | - Arun K. Gosain
- Department of Plastic Surgery, Rainbow Babies and Children’s Hospital, Case Western Reserve University, Cleveland, OH 44106, USA
| | - Ellen Kuhl
- Departments of Mechanical Engineering, Bioengineering, and Cardiothoracic Surgery, Stanford University, Stanford, CA 94305, USA
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14
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Zöllner AM, Buganza Tepole A, Gosain AK, Kuhl E. Growing skin: tissue expansion in pediatric forehead reconstruction. Biomech Model Mechanobiol 2012; 11:855-67. [PMID: 22052000 PMCID: PMC3425448 DOI: 10.1007/s10237-011-0357-4] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/29/2011] [Accepted: 10/20/2011] [Indexed: 11/25/2022]
Abstract
Tissue expansion is a common surgical procedure to grow extra skin through controlled mechanical over-stretch. It creates skin that matches the color, texture, and thickness of the surrounding tissue, while minimizing scars and risk of rejection. Despite intense research in tissue expansion and skin growth, there is a clear knowledge gap between heuristic observation and mechanistic understanding of the key phenomena that drive the growth process. Here, we show that a continuum mechanics approach, embedded in a custom-designed finite element model, informed by medical imaging, provides valuable insight into the biomechanics of skin growth. In particular, we model skin growth using the concept of an incompatible growth configuration. We characterize its evolution in time using a second-order growth tensor parameterized in terms of a scalar-valued internal variable, the in-plane area growth. When stretched beyond the physiological level, new skin is created, and the in-plane area growth increases. For the first time, we simulate tissue expansion on a patient-specific geometric model, and predict stress, strain, and area gain at three expanded locations in a pediatric skull: in the scalp, in the forehead, and in the cheek. Our results may help the surgeon to prevent tissue over-stretch and make informed decisions about expander geometry, size, placement, and inflation. We anticipate our study to open new avenues in reconstructive surgery and enhance treatment for patients with birth defects, burn injuries, or breast tumor removal.
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Affiliation(s)
- Alexander M Zöllner
- Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
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Choi JW, Kwon SH, Huh CH, Park KC, Youn SW. The influences of skin visco-elasticity, hydration level and aging on the formation of wrinkles: a comprehensive and objective approach. Skin Res Technol 2012; 19:e349-55. [PMID: 22672420 DOI: 10.1111/j.1600-0846.2012.00650.x] [Citation(s) in RCA: 82] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 04/26/2012] [Indexed: 12/25/2022]
Abstract
BACKGROUND Various skin parameters including skin visco-elasticity and hydration level affect the formation of wrinkles. OBJECTIVE The aim of this study was to investigate the comprehensive and objective relationship between age, skin visco-elasticity, hydration level, and the occurrence of wrinkles using bioengineering equipments for the first time. METHODS A total number of 97 healthy women were included in this study. Age, Fitzpatrick skin type, skin mechanical parameters obtained with Cutometer(R0~R9), hydration level measured with Corneometer, as well as wrinkle parameters (SEsm, SEr, SEsc, and SEw) assessed with Visioscan, were analyzed with the Pearson's correlation test. RESULTS The skin fluidity (R6) increased while the elastic recovery ratio (R7) decreased with the age. The wrinkle parameter (SEw) also increased with the age. The higher skin hysteresis values (R4 and R9) coincided with the higher SEw values. Skin hydration significantly lowered the hysteresis (R9), the wrinkles (SEw), and the depth of wrinkle furrows (R3mr). CONCLUSION The elderly have less elastic skin and more wrinkles. Skin hysteresis most closely related with the degree of wrinkles. Drier skin showed more wrinkles and deeper furrows, with wider intervals. On the basis of these objective findings, we propose several skin parameters associated with wrinkles, and hypothesize the mechanism of wrinkle generation.
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Affiliation(s)
- Jae Woo Choi
- Department of Dermatology, Seoul National University College of Medicine, Seongnam, South Korea
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Abstract
Unlike common engineering materials, living matter can autonomously respond to environmental changes. Living structures can grow stronger, weaker, larger, or smaller within months, weeks, or days as a result of a continuous microstructural turnover and renewal. Hard tissues can adapt by increasing their density and grow strong. Soft tissues can adapt by increasing their volume and grow large. For more than three decades, the mechanics community has actively contributed to understand the phenomena of growth and remodeling from a mechanistic point of view. However, to date, there is no single, unified characterization of growth, which is equally accepted by all scientists in the field. Here we shed light on the continuum modeling of growth and remodeling of living matter, and give a comprehensive overview of historical developments and trends. We provide a state-of-the-art review of current research highlights, and discuss challenges and potential future directions. Using the example of volumetric growth, we illustrate how we can establish and utilize growth theories to characterize the functional adaptation of soft living matter. We anticipate this review to be the starting point for critical discussions and future research in growth and remodeling, with a potential impact on life science and medicine.
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Affiliation(s)
- Andreas Menzel
- Institute of Mechanics, Department of Mechanical Engineering, TU Dortmund, Leonhard-Euler-Str. 5, D-44227 Dortmund, Germany
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17
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Zöllner AM, Tepole AB, Kuhl E. On the biomechanics and mechanobiology of growing skin. J Theor Biol 2012; 297:166-75. [PMID: 22227432 PMCID: PMC3278515 DOI: 10.1016/j.jtbi.2011.12.022] [Citation(s) in RCA: 58] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2011] [Revised: 12/06/2011] [Accepted: 12/21/2011] [Indexed: 10/14/2022]
Abstract
Skin displays an impressive functional plasticity, which allows it to adapt gradually to environmental changes. Tissue expansion takes advantage of this adaptation, and induces a controlled in situ skin growth for defect correction in plastic and reconstructive surgery. Stretches beyond the skin's physiological limit invoke several mechanotransduction pathways, which increase mitotic activity and collagen synthesis, ultimately resulting in a net gain in skin surface area. However, the interplay between mechanics and biology during tissue expansion remains unquantified. Here, we present a continuum model for skin growth that summarizes the underlying mechanotransduction pathways collectively in a single phenomenological variable, the strain-driven area growth. We illustrate the governing equations for growing biological membranes, and demonstrate their computational solution within a nonlinear finite element setting. In displacement-controlled equi-biaxial extension tests, the model accurately predicts the experimentally observed histological, mechanical, and structural features of growing skin, both qualitatively and quantitatively. Acute and chronic elastic uniaxial stretches are 25% and 10%, compared to 36% and 10% reported in the literature. Acute and chronic thickness changes are -28% and -12%, compared to -22% and -7% reported in the literature. Chronic fractional weight gain is 3.3, compared to 2.7 for wet weight and 3.3 for dry weight reported in the literature. In two clinical cases of skin expansion in pediatric forehead reconstruction, the model captures the clinically observed mechanical and structural responses, both acutely and chronically. Our results demonstrate that the field theories of continuum mechanics can reliably predict the mechanical manipulation of thin biological membranes by controlling their mechanotransduction pathways through mechanical overstretch. We anticipate that the proposed skin growth model can be generalized to arbitrary biological membranes, and that it can serve as a valuable tool to virtually manipulate living tissues, simply by means of changes in the mechanical environment.
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Affiliation(s)
- Alexander M. Zöllner
- Department of Mechanical Engineering, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA
| | - Adrian Buganza Tepole
- Department of Mechanical Engineering, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA
| | - Ellen Kuhl
- Department of Mechanical and Process Engineering, Center of Mechanics, ETH Zurich, 8092 Zurich, Switzerland
- Departments of Mechanical Engineering, Bioengineering, and Cardiothoracic Surgery, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA
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Tepole AB, Ploch CJ, Wong J, Gosain AK, Kuhl E. Growing skin: A computational model for skin expansion in reconstructive surgery. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 2011; 59:2177-2190. [PMID: 22081726 PMCID: PMC3212404 DOI: 10.1016/j.jmps.2011.05.004] [Citation(s) in RCA: 67] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/02/2023]
Abstract
The goal of this manuscript is to establish a novel computational model for stretch-induced skin growth during tissue expansion. Tissue expansion is a common surgical procedure to grow extra skin for reconstructing birth defects, burn injuries, or cancerous breasts. To model skin growth within the framework of nonlinear continuum mechanics, we adopt the multiplicative decomposition of the deformation gradient into an elastic and a growth part. Within this concept, we characterize growth as an irreversible, stretch-driven, transversely isotropic process parameterized in terms of a single scalar-valued growth multiplier, the in-plane area growth. To discretize its evolution in time, we apply an unconditionally stable, implicit Euler backward scheme. To discretize it in space, we utilize the finite element method. For maximum algorithmic efficiency and optimal convergence, we suggest an inner Newton iteration to locally update the growth multiplier at each integration point. This iteration is embedded within an outer Newton iteration to globally update the deformation at each finite element node. To demonstrate the characteristic features of skin growth, we simulate the process of gradual tissue expander inflation. To visualize growth-induced residual stresses, we simulate a subsequent tissue expander deflation. In particular, we compare the spatio-temporal evolution of area growth, elastic strains, and residual stresses for four commonly available tissue expander geometries. We believe that predictive computational modeling can open new avenues in reconstructive surgery to rationalize and standardize clinical process parameters such as expander geometry, expander size, expander placement, and inflation timing.
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Affiliation(s)
- Adrián Buganza Tepole
- Department of Mechanical Engineering, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA
| | - Christopher Joseph Ploch
- Department of Mechanical Engineering, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA
| | - Jonathan Wong
- Department of Mechanical Engineering, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA
| | - Arun K. Gosain
- Department of Plastic Surgery, Rainbow Babies and Children’s Hospital, Case Western Reserve University, Cleveland, OH 44106, USA
| | - Ellen Kuhl
- Departments of Mechanical Engineering, Bioengineering, and Cardiothoracic Surgery, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA
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Barbarino GG, Jabareen M, Trzewik J, Nkengne A, Stamatas G, Mazza E. Development and validation of a three-dimensional finite element model of the face. J Biomech Eng 2009; 131:041006. [PMID: 19275435 DOI: 10.1115/1.3049857] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
A detailed three-dimensional finite element model of the face is presented in this paper. Bones, muscles, skin, fat, and superficial muscoloaponeurotic system were reconstructed from magnetic resonance images and modeled according to anatomical, plastic, and reconstructive surgery literature. The finite element mesh, composed of hexahedron elements, was generated through a semi-automatic procedure with an effective compromise between the detailed representation of anatomical parts and the limitation of the computational time. Nonlinear constitutive equations are implemented in the finite element model. The corresponding model parameters were selected according to previous work with mechanical measurements on soft facial tissue, or based on reasonable assumptions. Model assumptions concerning tissue geometry, interactions, mechanical properties, and the boundary conditions were validated through comparison with experiments. The calculated response of facial tissues to gravity loads, to the application of a pressure inside the oral cavity and to the application of an imposed displacement was shown to be in good agreement with the data from corresponding magnetic resonance images and holographic measurements. As a first application, gravimetric soft tissue descent was calculated from the long time action of gravity on the face in the erect position, with tissue aging leading to a loss of stiffness. Aging predictions are compared with the observations from an "aging database" with frontal photos of volunteers at different age ranges (i.e., 20-40 years and 50-70 years).
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Affiliation(s)
- G G Barbarino
- Department of Mechanical Engineering, IMES, ETH Zurich, Tannenstrasse 3, CH-8092 Zurich, Switzerland.
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