Generation of a Three-dimensional Full Thickness Skin Equivalent and Automated Wounding

In vitro models are a cost effective and ethical alternative to study cutaneous wound healing processes. Moreover, by using human cells, these models reflect the human wound situation better than animal models. Although two-dimensional models are widely used to investigate processes such as cellular migration and proliferation, models that are more complex are required to gain a deeper knowledge about wound healing. Besides a suitable model system, the generation of precise and reproducible wounds is crucial to ensure comparable results between different test runs. In this study, the generation of a three-dimensional full thickness skin equivalent to study wound healing is shown. The dermal part of the models is comprised of human dermal fibroblast embedded in a rat-tail collagen type I hydrogel. Following the inoculation with human epidermal keratinocytes and consequent culture at the air-liquid interface, a multilayered epidermis is formed on top of the models. To study the wound healing process, we additionally developed an automated wounding device, which generates standardized wounds in a sterile atmosphere.     

Mathematical Modeling in Wound Healing,Bone Regeneration and Tissue Engineering

The processes of wound healing and bone regeneration and problems in tissue engineering have been an active area for mathematical modeling in the last decade. Here we review a selection of recent models which aim at deriving strategies for improved healing. In wound healing, the models have particularly focused on the inflammatory response in order to improve the healing of chronic wound. For bone regeneration, the mathematical models have been applied to design optimal and new treatment strategies for normal and specific cases of impaired fracture healing. For the field of tissue engineering, we focus on mathematical models that analyze the interplay between cells and their biochemical cues within the scaffold to ensure optimal nutrient transport and maximal tissue production. Finally, we briefly comment on numerical issues arising from simulations of these mathematical models.     

Two-dimensional Fourier representation used in the bioelectric forward problem.

The objective of this paper is the application of two-dimensional discrete Fourier transformation for solving the integral equation of the bioelectric forward problem. Therefore, the potential, the source term, and the integral equation kernel are assumed to be sampled at evenly spaced intervals. Thus the continuous functions of the problem domain can be expressed by their two-dimensional discrete Fourier transform in the spatial frequency domain. The method is applied to compute the surface potential generated by an eccentric dipole in a homogeneous spherical conducting medium. The integral equation for the potential is solved in the spatial frequency domain and the value of the potential at the sampling points is obtained from inverse Fourier transformation. The solution of the presented method is compared to both, an analytic solution and a solution gained from applying the boundary element method. Isoparametric quadrilateral boundary elements are used for modeling the spherical volume conductor in the boundary element solution, while in the two-dimensional Fourier transformation method the volume conductor is represented by a parametric boundary surface approximation.     

A self-consistent cell flux expression for simultaneous chemotaxis and contact guidance in tissues

During wound healing, both chemotaxis and contact guidance can contribute to the migration of blood and tissue cells to the wound. In order to understand the wound healing process, we must thus understand how cells respond to both these simultaneous directional cues, which are not necessarily coaligned. Although chemotaxis and contact guidance have been studied individually, the interaction between them has not been addressed. We extend a stochastic cell movement model, developed by Dickinson and Tranquillo (1995) [6] for individual cues, for simultaneous chemotaxis and contact guidance by a two-parameter perturbation analysis in terms of the two associated cues, a chemotactic factor gradient and aligned tissue fibers. We present results from analysis of the first-order perturbation, which includes the cell flux expression heuristically proposed by others, but reveals paradoxical results for other indices of cell movement, such as the mean-squared displacement. We then present second-order perturbation results that resolve these paradoxical results. Finally, we relate these results to a continuum mechanical model developed by Barocas and Tranquillo (1997) [3] that predicts fiber alignment due to cell traction induced tissue contraction. Received: 30 April 1999 / Revised version: 30 October 1999 / Published online: 14 September 2000     

Differential modulation of hepatocyte growth factor-stimulated motility by transforming growth factor β1 on rat liver epithelial cells in vitro

We have previously shown that transforming growth factor-β1 (TGF-β1) enhances the epidermal growth factor- (EGF) and transforming growth factor-α (TGF-α)-stimulated motility of rat hepatocytes in an extracellular matrix (ECM)-dependent fashion (Stolz and Michalopoulos, 1997, J. Cell. Physiol., 170:57–68). We have extended this study to examine the effects of TGF-β1 on hepatocyte growth factor (HGF) and EGF-stimulated motility of rat nonparenchymal liver epithelial cells (RLECs) in vitro and determined that chemotaxis, scattering, and monolayer wound healing by EGF was synergistically enhanced by TGF-β1 on all ECMs examined. However, HGF-based motility, unlike EGF-stimulated motility, was modulated in an assay-dependent manner by TGF-β1. HGF-stimulated chemotaxis was dramatically decreased by addition of TGF-β1, but wound healing was synergistically enhanced by TGF-β1 on all ECMs examined. HGF-based scattering was not consistently affected by TGF-β1 on any ECM tested except on laminin, where scattering was often reduced by the concomitant addition of TGF-β1. TGF-β1 enhanced the motility associated with monolayer wound healing by HGF or EGF independent of DNA synthesis, because tritiated thymidine uptake was consistently reduced by 60% in the presence of TGF-β1. The data indicate that HGF and EGF motility do not follow redundant signal-transduction pathways and that specific growth factor motility-related events, as measured by wound healing, scattering, and chemotaxis, are modulated independently by ECM and TGF-β1. J. Cell. Physiol. 175:30–40, 1998. © 1998 Wiley-Liss, Inc.     

A model for cell migration in non-isotropic fibrin networks with an application to pancreatic tumor islets

Cell migration, known as an orchestrated movement of cells, is crucially important for wound healing, tumor growth, immune response as well as other biomedical processes. This paper presents a cell-based model to describe cell migration in non-isotropic fibrin networks around pancreatic tumor islets. This migration is determined by the mechanical strain energy density as well as cytokines-driven chemotaxis. Cell displacement is modeled by solving a large system of ordinary stochastic differential equations where the stochastic parts result from random walk. The stochastic differential equations are solved by the use of the classical Euler–Maruyama method. In this paper, the influence of anisotropic stromal extracellular matrix in pancreatic tumor islets on T-lymphocytes migration in different immune systems is investigated. As a result, tumor peripheral stromal extracellular matrix impedes the immune response of T-lymphocytes through changing direction of their migration.     

Glutamate is the chemotaxis-inducing factor in placental extracts

Human placental extracts are known to help wound healing. Rapid migration of neutrophils to the wound site is a prerequisite to the wound healing process. Gel filtration analysis of heat-treated placental extract gave the initial cue to the small nature of the migration promoting factor of the extract. HPLC analysis of the extract revealed glutamate to be the predominant free amino acid. Our studies show that glutamate at an optimum concentration of 8 μM induced phenotypic neutrophil chemotaxis, as seen in the time lapse- and transwell assays. Glutamate was also found to induce chemokinesis of the neutrophil, though the stimulation of chemotaxis was more pronounced. The glutamate induced chemotaxis was accompanied by polarization of the actin cytoskeleton, and by polymerization of F-actin. These data indicate that glutamate has a strong chemotactic functionality in the neutrophil, which could be of interest both therapeutically and in further investigation of the molecular basis of chemotaxis.     

Continuum model of collective cell migration in wound healing and colony expansion

Collective cell migration plays an important role during wound healing and embryo development. Although the exact mechanisms that coordinate such migration are still unknown, experimental studies of moving cell layers have shown that the primary interactions governing the motion of the layer are the force of lamellipodia, the adhesion of cells to the substrate, and the adhesion of cells to each other. Here, we derive a two-dimensional continuum mechanical model of cell-layer migration that is based on a novel assumption of elastic deformation of the layer and incorporates basic mechanical interactions of cells as well as cell proliferation and apoptosis. The evolution equations are solved numerically using a level set method. The model successfully reproduces data from two types of experiments: 1), the contraction of an enterocyte cell layer during wound healing; and 2), the expansion of a radially symmetric colony of MDCK cells, both in the edge migration velocity and in cell-layer density. In accord with experimental observations, and in contrast to reaction-diffusion models, this model predicts a partial wound closure if lamellipod formation is inhibited at the wound edge and gives implications of the effect of spatially restricted proliferation.     

Solving group technology problems via clique partitioning

This paper presents a new clique partitioning (CP) model for the Group Technology (GT) problem. The new model, based on a novel 0/1 quadratic programming formulation, addresses multiple objectives in GT problems by drawing on production relationships to assign differing weights to machine/part pairs. The use of this model, which is readily solved by a basic tabu search heuristic, is illustrated by solving 36 standard test problems from the literature. The efficiency of our new CP model is further illustrated by solving three large scale problems whose linear programming relaxations are much too large to be solved by CPLEX. An analysis of the quality of the solutions produced along with comparisons made with other models and methods highlight both the attractiveness and robustness of the proposed method.     

The emerging roles of neutrophil extracellular traps in wound healing

Delayed wound healing causes problems for many patients both physically and psychologically, contributing to pain, economic burden, loss of function, and even amputation. Although many factors affect the wound healing process, abnormally prolonged or augmented inflammation in the wound site is a common cause of poor wound healing. Excessive neutrophil extracellular trap (NET) formation during this phase may amplify inflammation and hinder wound healing. However, the roles of NETs in wound healing are still unclear. Herein, we briefly introduce NET formation and discuss the possible NET-related mechanisms in wound healing. We conclude with a discussion of current studies, focusing on the roles of NETs in diabetic and normoglycemic wounds and the effectiveness of NET-targeting treatments in wound healing.Subject terms: Mechanisms of disease, Experimental models of disease     

Mechanisms of Gradient Sensing and Chemotaxis: Conserved Pathways,Diverse Regulation

Directed cell migration is critical for normal development, immune responses, and wound healing and plays a prominent role in tumor metastasis. In eukaryotes, cell orientation is biased by an external chemoattractant gradient through a spatial contrast in chemoattractant receptor-mediated signal transduction processes that differentially affect cytoskeletal dynamics at the cell front and rear. Mechanisms of spatial gradient sensing and chemotaxis have been studied extensively in the social amoeba Dictyostelium discoideum and mammalian leukocytes (neutrophils), which are similar in their remarkable sensitivity to shallow gradients and robustness of response over a broad range of chemoattractant concentration. Recently, we have quantitatively characterized a different gradient sensing system, that of platelet-derived growth factor-stimulated fibroblasts, an important component of dermal wound healing. The marked differences between this system and the others have led us to speculate on the diversity of gradient sensing mechanisms and their biological implications.     

Identification of the Critical Therapeutic Entity in Secreted Hsp90α That Promotes Wound Healing in Newly Re-Standardized Healthy and Diabetic Pig Models

Chronic and non-healing skin wounds represent a significant clinical, economic and social problem worldwide. Currently, there are few effective treatments. Lack of well-defined animal models to investigate wound healing mechanisms and furthermore to identify new and more effective therapeutic agents still remains a major challenge. Pig skin wound healing is close to humans. However, standardized pig wound healing models with demonstrated validity for testing new wound healing candidates are unavailable. Here we report a systematic evaluation and establishment of both acute and diabetic wound healing models in pigs, including wound-creating pattern for drug treatment versus control, measurements of diabetic parameters and the time for detecting delayed wound healing. We find that treatment and control wounds should be on the opposite and corresponding sides of a pig. We demonstrate a strong correlation between duration of diabetic conditions and the length of delay in wound closure. Using these new models, we narrow down the minimum therapeutic entity of secreted Hsp90α to a 27-amino acid peptide, called fragment-8 (F-8). In addition, results of histochemistry and immunohistochemistry analyses reveal more organized epidermis and dermis in Hsp90α-healed wounds than the control. Finally, Hsp90α uses a similar signaling mechanism to promote migration of isolated pig and human keratinocytes and dermal fibroblasts. This is the first report that shows standardized pig models for acute and diabetic wound healing studies and proves its usefulness with both an approved drug and a new therapeutic agent.     

The effect of the glycolipoprotein extract (G‐90) from earthworm Eisenia foetida on the wound healing process in alloxan‐induced diabetic rats

Diabetes is now regarded as a major public health problem. The number of patients is estimated to increase to over 439 million cases by 2030. One of the major health clinical problems in patients with diabetes patients is impaired wound healing. Diabetic foot ulcer is a major complication of diabetes mellitus in 12 to 25% of patients, which increases the risk of damage in the limbs or amputation. The earthworm Eisenia foetida glycolipoprotein (as known G‐90) is a blend of macromolecules with some biological properties including mitogenicity, anticoagulation, fibrinolysis, bacteriostatic and antioxidatiaon. Given the biological properties of G‐90, this study was conducted to investigate the effect of extract obtained from the homogenate of Eisenia foetida (G‐90) on the wound healing process in alloxan‐induced diabetic rats. The results of the present study revealed that treatment by using G‐90 can speed up the wound healing process, which is exactly similar to the effect of D‐panthenol treatment in rats. These findings also demonstrated that G‐90 treatment decreases the risk of infection in the wound site compared with D‐panthenol treatment. In addition, histological analysis indicated that a better extracellular matrix formation with increased fibroblast proliferation, neovascularization, collagen synthesis and early epithelial layer formation was observed in G‐90 treated group. Therefore, the G‐90 could be considered as a new wound healing agent introducing promising therapeutic approaches in both human and veterinary medicine. Copyright © 2016 John Wiley & Sons, Ltd.     

Collective chemotaxis in a Voronoi model for confluent clusters

Collective chemotaxis, where single cells cannot climb a biochemical signaling gradient but clusters of cells can, has been observed in different biological contexts, including confluent tissues where there are no gaps or overlaps between cells. Although particle-based models have been developed that predict important features of collective chemotaxis, the mechanisms in those models depend on particle overlaps, and so it remains unclear if they can explain behavior in confluent systems. Here, we develop an open-source code that couples a two-dimensional Voronoi simulation for confluent cell mechanics to a dynamic chemical signal that can diffuse, advect, and/or degrade and use the code to study potential mechanisms for collective chemotaxis in cellular monolayers. We first study the impact of advection on collective chemotaxis and delineate a regime where advective terms are important. Next, we investigate two possible chemotactic mechanisms, contact inhibition of locomotion and heterotypic interfacial tension, and demonstrate that both can drive collective chemotaxis in certain parameter regimes. We further demonstrate that the scaling behavior of cluster motion is well captured by simple analytic theories.     

Multiscale phenomena related to diabetic foot

Diabetes is a group of metabolic diseases causing a system disorder, i.e.; it cannot be explained or understood by phenomena on single material scale. The diabetic foot is studied as flexible multibody structure by nonlinear finite element method. The physical and geometrical multiscale heterogeneity is solved by multilevel finite element approach. The diabetic tissue is described by internal coordinate's formalism, as complex multiscale process in tissue. The accompanying problem of the axisymetric wound healing is solved numerically. Some results related to foot deformity, stress and strain concentration and wound healing are presented.     

Steady-state diffusion through a finite pore into an infinite reservoir: An exact solution

An outline is given of an analysis that leads to an exact solution for the problem of steady-state diffusion through a finite thick pore into an infinite region surrounding the mouth of the pore. From this exact formula a simple expression for the flux is derived. This expression approximates the flux with a relative error of less than 3.42 per cent independently of the ratiol/a wherel is the length of the pore anda its radius. If desired, more accurate expressions for the flux can be obtained from the exact solution. This research was supported in part by Contract Nonr 595(17), Office of Naval Research, U.S. Navy.     

The involvement of lipid rafts in epidermal growth factor-induced chemotaxis of breast cancer cells

Metastasis is the major cause of morbidity and mortality in cancer. Recent studies reveal a role of chemotaxis in cancer cell metastasis. Epidermal growth factor receptors (EGFR) have potent chemotactic effects on human breast cancer cells. Lipid rafts, organized microdomain on plasma membranes, regulate the activation of many membrane receptors. In the current study, we investigated the role of lipid rafts in EGFR-mediated cancer cell chemotaxis. Our confocal microscopy results suggested that EGFR co-localized with GM1-positive rafts. Disrupting rafts with methyl-β-cyclodextrin (mβCD) inhibited EGF-induced chemotaxis of human breast cancer cells. Supplementation with cholesterol reversed the inhibitory effects. Pretreatment with mβCD also impaired directional migration of cells in an in vitro “wound healing” assay, EGF-induced cell adhesion, actin polymerization, Akt phosphorylation and protein kinase Cζ (PKCζ) translocation. Taken together, our study indicated that integrity of lipid rafts was critical in EGF-induced chemotaxis of human breast cancer cells.     

Mathematical model for optimal control in wastewater discharges: the global performance

In this work we show how mathematical models and optimal control techniques can help us to solve some problems of environmental engineering, more precisely, water pollution problems arising from wastewater discharges into coastal areas or rivers. We deal with a complete two-dimensional mathematical model for the evolution of pollutant concentration in a shallow water domain. By integrating this model we obtain a zero-dimensional one and we use it to study the global performance of the system in a realistic situation. Finally, by using the two-dimensional model, we recall two optimal control problems related to the wastewater disposal problem.     

Rho‐kinase inhibitor Y‐27632 facilitates the proliferation,migration and pluripotency of human periodontal ligament stem cells

The selective in vitro expansion and differentiation of multipotent stem cells are critical steps in cell‐based regenerative therapies, while technical challenges have limited cell yield and thus affected the success of these potential treatments. The Rho GTPases and downstream Rho kinases are central regulators of cytoskeletal dynamics during cell cycle and determine the balance between stem cells self‐renewal, lineage commitment and apoptosis. Trans‐4‐[(1R)‐aminoethyl]‐N‐(4‐pyridinyl)cylohexanecarboxamidedihydrochloride (Y‐27632), Rho‐associated kinase (ROCK) inhibitor, involves various cellular functions that include actin cytoskeleton organization, cell adhesion, cell motility and anti‐apoptosis. Here, human periodontal ligament stem cells (PDLSCs) were isolated by limiting dilution method. Cell counting kit‐8 (CCK8), 5‐ethynyl‐2′‐deoxyuridine (EdU) labelling assay, cell apoptosis assay, cell migration assay, wound‐healing assay, alkaline phosphatase (ALP) activity assay, Alizarin Red S staining, Oil Red O staining, quantitative real‐time polymerase chain reaction (qRT‐PCR) were used to determine the effects of Y‐27632 on the proliferation, apoptosis, migration, stemness, osteogenic and adipogenic differentiation of PDLSCs. Afterwards, Western blot analysis was performed to elucidate the mechanism of cell proliferation. The results indicated that Y‐27632 significantly promoted cell proliferation, chemotaxis, wound healing, fat droplets formation and pluripotency, while inhibited ALP activity and mineral deposition. Furthermore, Y‐27632 induced PDLSCs proliferation through extracellular‐signal‐regulated kinase (ERK) signalling cascade. Therefore, control of Rho‐kinase activity may enhance the efficiency of stem cell‐based treatments for periodontal diseases and the strategy may have the potential to promote periodontal tissue regeneration by facilitating the chemotaxis of PDLSCs to the injured site, and then enhancing the proliferation of these cells and maintaining their pluripotency.     

Wounds incurred in routine cell culture prolong the duration of the life cycle ofAcetabularia acetabulum and require K+ to heal

Summary We have examined the pressure-wound healing response inAcetabularia acetabulum (L.) Silva (Chlorophyta). Commonly incurred in routine cell culture, these wounds induce disruption of the vacuole and translocation of the cytoplasm away from the wound site. Daily wounding of individual cells retarded cytoplasmic healing over time, but had no effect on the rate of membrane healing. The position of the wound along the cell stalk also affected the ability of the cell to heal: cells wounded near the rhizoid healed at least 1.9 times more slowly and were only half as likely to achieve reproduction as were cells wounded either near the apex or at mid-stalk. The 50% mortality of cells wounded at the rhizoid suggests the existence of a physical structure near the primary nucleus which is important to cell viability. The impact of wounding on reproductive potential and time to heal differed with the phase of cell development: juvenile and early adult cells healed 2–2.5 times more quickly but were less likely to achieve reproduction than late adult or reproductive cells. Growth at very high population densities (2.5 cells/ml) impaired the ability of the cells to heal. Growth of cells in seawater containing a range of potassium concentrations revealed that healing depends on potassium and is optimal at a concentration of — 1.51ogM potassium.Abbreviations SE standard error of the mean - LD light/dark - NEM N-ethylmaleimide