On the mathematical modeling of wound healing angiogenesis in skin as a reaction-transport process

Over the last 30 years, numerous research groups have attempted to provide mathematical descriptions of the skin wound healing process. The development of theoretical models of the interlinked processes that underlie the healing mechanism has yielded considerable insight into aspects of this critical phenomenon that remain difficult to investigate empirically. In particular, the mathematical modeling of angiogenesis, i.e., capillary sprout growth, has offered new paradigms for the understanding of this highly complex and crucial step in the healing pathway. With the recent advances in imaging and cell tracking, the time is now ripe for an appraisal of the utility and importance of mathematical modeling in wound healing angiogenesis research. The purpose of this review is to pedagogically elucidate the conceptual principles that have underpinned the development of mathematical descriptions of wound healing angiogenesis, specifically those that have utilized a continuum reaction-transport framework, and highlight the contribution that such models have made toward the advancement of research in this field. We aim to draw attention to the common assumptions made when developing models of this nature, thereby bringing into focus the advantages and limitations of this approach. A deeper integration of mathematical modeling techniques into the practice of wound healing angiogenesis research promises new perspectives for advancing our knowledge in this area. To this end we detail several open problems related to the understanding of wound healing angiogenesis, and outline how these issues could be addressed through closer cross-disciplinary collaboration.

Prognostic value of BRAF mutations in localized cutaneous melanoma

BACKGROUND: BRAF mutations are frequent in melanoma but their prognostic significance remains unclear. OBJECTIVE: We sought to further evaluate the prognostic value of BRAF mutations in localized cutaneous melanoma. METHODS: We undertook an observational retrospective study of 147 patients with localized invasive (stages I and II) cutaneous melanomas to determine the prognostic value of BRAF mutation status. RESULTS: After a median follow-up of 48 months, patients with localized melanomas with BRAF-mutant melanomas exhibited poorer disease-free survival than those with BRAF-wt genotype (hazard ratio 2.2, 95% confidence interval 1.1-4.3) even after adjustment for Breslow thickness, tumor ulceration, location, age, sex, and tumor mitotic rate. LIMITATIONS: The retrospective design and the small number of events are limitations. CONCLUSIONS: Our findings suggest that reappraisal of clinical treatment approaches for patients with localized melanoma harboring tumors with BRAF mutation might be warranted

MicroRNA regulation of epithelial-to-mesenchymal transition during re-epithelialisation: Assessing an open wound

It is becoming increasing clear that microRNAs contribute to the regulation of many biological processes, including wound healing. After injury, keratinocytes need to undergo what is known as an epithelial-to-mesenchymal transition (EMT) to initiate re-epithelialisation. During this process, keratinocytes reduce their attachment to the underlying matrix, extend membrane protrusions, become motile and migrate over the wound bed, affecting wound closure. MicroRNAs that regulate EMT are aberrantly upregulated in keratinocytes at the edge of non-healing wounds and potentially play a role in the chronicity of these wounds. In vitro and in vivo, downregulation of these microRNAs promotes EMT and migration, facilitating re-epithelialisation in wound models. This review will focus on the role of microRNAs that regulate or have potential to regulate EMT and re-epithelialisation during wound healing

Genome-wide meta-analysis identifies five new susceptibility loci for cutaneous malignant melanoma

Thirteen common susceptibility loci have been reproducibly associated with cutaneous malignant melanoma (CMM). We report the results of an international 2-stage meta-analysis of CMM genome-wide association studies (GWAS). This meta-analysis combines 11 GWAS (5 previously unpublished) and a further three stage 2 data sets, totaling 15,990 CMM cases and 26,409 controls. Five loci not previously associated with CMM risk reached genome-wide significance (P < 5 × 10−8), as did 2 previously reported but unreplicated loci and all 13 established loci. Newly associated SNPs fall within putative melanocyte regulatory elements, and bioinformatic and expression quantitative trait locus (eQTL) data highlight candidate genes in the associated regions, including one involved in telomere biology.

Transdisciplinary collaboration in wound care research

The highly complex disorder of chronic wounds is a significant problem. Information is often lacking, dynamically changing, or contradictory and thus acts to impede the progression of research and its translation into clinical care. Transdisciplinary collaboration may play an important role in chronic wound research, permitting key stakeholders with a single, central goal to take a unified approach towards addressing the problem. While transdisciplinary collaboration is not a new concept, its implementation within chronic wound research is relatively new. This is because the research area is still largely dominated by single-discipline researchers or by multiple disciplines working in isolation. Transdisciplinary research is a transcending approach, requiring a greater level of understanding between disciplines and may represent the next leap forward in wound care research. This approach necessitates a deeper understanding by all team members of the co-disciplines involved; where key stakeholders are better equipped to respond to dynamic changes and problems that arise in chronic wound research. In this paper, we illustrate what a transdisciplinary approach in wound care research may entail, with the ultimate goal of such an undertaking to improve understanding of the complexities of wound care, which could lead to potential benefits in wound management.

Spatiotemporal clustering analysis and risk assessments of human cutaneous anthrax in China, 2005–2012

Objective To investigate the epidemic characteristics of human cutaneous anthrax (CA) in China, detect the spatiotemporal clusters at the county level for preemptive public health interventions, and evaluate the differences in the epidemiological characteristics within and outside clusters. Methods CA cases reported during 2005–2012 from the national surveillance system were evaluated at the county level using space-time scan statistic. Comparative analysis of the epidemic characteristics within and outside identified clusters was performed using using the χ2 test or Kruskal-Wallis test. Results The group of 30–39 years had the highest incidence of CA, and the fatality rate increased with age, with persons ≥70 years showing a fatality rate of 4.04%. Seasonality analysis showed that most of CA cases occurred between May/June and September/October of each year. The primary spatiotemporal cluster contained 19 counties from June 2006 to May 2010, and it was mainly located straddling the borders of Sichuan, Gansu, and Qinghai provinces. In these high-risk areas, CA cases were predominantly found among younger, local, males, shepherds, who were living on agriculture and stockbreeding and characterized with high morbidity, low mortality and a shorter period from illness onset to diagnosis. Conclusion CA was geographically and persistently clustered in the Southwestern China during 2005–2012, with notable differences in the epidemic characteristics within and outside spatiotemporal clusters; this demonstrates the necessity for CA interventions such as enhanced surveillance, health education, mandatory and standard decontamination or disinfection procedures to be geographically targeted to the areas identified in this study.

Mathematical modelling of human corneal oxygenation and cell kinetics in corneal epithelial wound healing

Healthy transparent cornea depends upon the regulation of fluid, nutrient and oxygen transport through the tissue to sustain cell metabolism and other critical processes for normal functioning. This research considers the corneal geometry and investigates oxygen distribution using a two-dimensional Monod kinetic model, showing that previous studies make assumptions that lead to predictions of near-anoxic levels of oxygen tension in the limbal regions of the cornea. It also considers the comparison of experimental spatial and temporal data with the predictions of novel mathematical models with respect to distributed mitotic rates during corneal epithelial wound healing.

The Use of Australian Honey in Moist Wound Management

This project has investigated the correlation between antimicrobial activity and the non-peroxide activity of particular Leptospermum-derived honeys. Initial investigations tested the efficacy of these honeys against one particular bacteria (Staphylococcus aureus), while later studies assessed the effect of this honey on a range of food pathogens, animal pathogens (e.g. in mastitis) and human pathogens (e.g. golden Staph). Using honeys sourced from around Australia and screened against several reference microorganisms, the anti-microbial potency of one particular Australian honey (from Leptospermum polygalifolium) was shown to be comparable to NZ Manuka honey (from L.scoparium). The results of this screening of active honeys against pathogenic bacteria has supported the registration of honey by Capilano Honey Limited as a “Drug” with the Therapeutic Goods Administration based on its antimicrobial activity.

Evaluation of haemoglobin in blister fluid as an indicator of paediatric burn wound depth

The early and accurate assessment of burns is essential to inform patient treatment regimens; however, this first critical step in clinical practice remains a challenge for specialist burns clinicians worldwide. In this regard, protein biomarkers are a potential adjunct diagnostic tool to assist experienced clinical judgement. Free circulating haemoglobin has previously shown some promise as an indicator of burn depth in a murine animal model. Using blister fluid collected from paediatric burn patients, haemoglobin abundance was measured using semi-quantitative Western blot and immunoassays. Although a trend was observed in which haemoglobin abundance increased with burn wound severity, several patient samples deviated significantly from this trend. Further, it was found that haemoglobin concentration decreased significantly when whole cells, cell debris and fibrinous matrix was removed from the blister fluid by centrifugation; although the relationship to depth was still present. Statistical analyses showed that haemoglobin abundance in the fluid was more strongly related to the time between injury and sample collection and the time taken for spontaneous re-epithelialisation. We hypothesise that prolonged exposure to the blister fluid microenvironment may result in an increased haemoglobin abundance due to erythrocyte lysis, and delayed wound healing

Antimicrobial efficacy of a novel silver hydrogel dressing compared to two common silver burn wound dressings: Acticoat™ and PolyMem Silver

A novel burn wound hydrogel dressing has been previously developed which is composed of 2-acrylamido-2-methylpropane sulfonic acid sodium salt with silver nanoparticles. This study compared the antimicrobial efficacy of this novel dressing to two commercially available silver dressings; Acticoat™ and PolyMem Silver(®). Three different antimicrobial tests were used: disc diffusion, broth culture, and the Live/Dead(®) Baclight™ bacterial viability assay. Burn wound pathogens (P. aeruginosa, MSSA, A. baumannii and C. albicans) and antibiotic resistant strains (MRSA and VRE) were tested. All three antimicrobial tests indicated that Acticoat™ was the most effective antimicrobial agent, with inhibition zone lengths of 13.9-18.4mm. It reduced the microbial inocula below the limit of detection (10(2)CFU/ml) and reduced viability by 99% within 4h. PolyMem Silver(®) had no zone of inhibition for most tested micro-organisms, and it also showed poor antimicrobial activity in the broth culture and Live/Dead(®) Baclight™ assays. Alarmingly, it appeared to promote the growth of VRE. The silver hydrogel reduced most of the tested microbial inocula below the detection limit and decreased bacterial viability by 94-99% after 24h exposure. These results support the possibility of using this novel silver hydrogel as a burn wound dressing in the future

Improved wound management at lower costs: A sensible goal for Australia

Chronic wounds cost the Australian health system at least US$2·85 billion per year. Wound care services in Australia involve a complex mix of treatment options, health care sectors and funding mechanisms. It is clear that implementation of evidence-based wound care coincides with large health improvements and cost savings, yet the majority of Australians with chronic wounds do not receive evidence-based treatment. High initial treatment costs, inadequate reimbursement, poor financial incentives to invest in optimal care and limitations in clinical skills are major barriers to the adoption of evidence-based wound care. Enhanced education and appropriate financial incentives in primary care will improve uptake of evidence-based practice. Secondary-level wound specialty clinics to fill referral gaps in the community, boosted by appropriate credentialing, will improve access to specialist care. In order to secure funding for better services in a competitive environment, evidence of cost-effectiveness is required. Future effort to generate evidence on the cost-effectiveness of wound management interventions should provide evidence that decision makers find easy to interpret. If this happens, and it will require a large effort of health services research, it could be used to inform future policy and decision-making activities, reduce health care costs and improve patient outcomes.

The TRAM flap for breast reconstruction : Studies on perioperative cutaneous blood flow, vasoconstriction, and indices of obesity

Breast reconstruction is performed for 10-15 % of women operated on for breast cancer. A popular method is the TRAM (transverse rectus abdominis musculocutaneous) flap formed of the patient’s own abdominal tissue, a part of one of the rectus abdominis muscles and a transverse skin-subcutis area over it. The flap can be raised as a pedicled or a free flap. The pedicled TRAM flap, based on its nondominant pedicle superior epigastric artery (SEA), is rotated to the chest so that blood flow through SEA continues. The free TRAM flap, based on its dominant pedicle deep inferior epigastric artery (DIEA), is detached from the abdomen, transferred to the chest, and DIEA and vein are anastomosed to vessels on the chest. Cutaneous necrosis is seen in 5–60 % of pedicled TRAM flaps and in 0–15 % of free TRAM flaps. This study was the first one to show with blood flow measurements that the cutaneous blood flow is more generous in free than in pedicled TRAM flaps. After this study the free TRAM flap has exceeded the pedicled flap in popularity as a breast reconstruction method, although the free flap it is technically a more demanding procedure than the pedicled TRAM flap. In pedicled flaps, a decrease in cutaneous blood flow was observed when DIEA was ligated. It seems that SEA cannot provide sufficient blood flow on the first postoperative days. The postoperative cutaneous blood flow in free TRAM flaps was more stable than in pedicled flaps. Development of cutaneous necrosis of pedicled TRAM flaps could be predicted based on intraoperative laser Doppler flowmetry (LDF) measurements. The LDF value on the contralateral skin of the flap decreased to 43 ± 7 % of the initial value after ligation of the DIEA in flaps developing cutaneous necrosis during the next week. Endothelin-1 (ET-1) is a powerful vasoconstrictory peptide secreted by vascular endothelial cells. A correlation was found between plasma ET-1 concentrations and peripheral vasoconstriction developing during and after breast reconstructions with a pedicled TRAM flap. ET-1 was not associated with the development of cutaneous necrosis. Felodipine, a vasodilating calcium channel antagonist, had no effect on plasma ET-1 concentrations, peripheral vasoconstriction or development of cutaneous necrosis in free TRAM flaps. Body mass index and thickness of abdominal were not associated with cutaneous necrosis in pedicled TRAM flaps.

Cutaneous porphyrias : Clinical and histopathological study

The prevalence of variegate porphyria (VP) (2.1:100 000, in 2006 n=108) was higher in Finland than elsewhere in European countries due to a founder effect (R152C). The incidence of VP was estimated at 0.2:1 000 000 based on the number of new symptomatic patients yearly. The prevalence of porphyria cutanea tarda (PCT) was 1.2:100 000 (in 2006 n=63), which is only one fourth of the numbers reported from other European countries. The estimated incidence of PCT was 0.5:1 000 000. Based on measurements of the uroporphyrinogen decarboxylase activity in erythrocytes, the proportion of familial PCT was 49% of the cases. The prevalence of erythropoietic protoporphyria (EPP) was at 0.8:100 000 (in 2006 n=39) including asymptomatic carriers of a mutation in the ferrochelatase (FECH) gene. The incidence of EPP was estimated at 0.1:1 000 000. After 1980 the penetrance was 37% among patients with VP. Of the mutation carriers (n=57) 30% manifested with skin symptoms. Frequency of skin symptom as only clinical sign was stable before or after 1980 (22% vs. 21%), but acute attacks became infrequent (29% vs. 7%). Of the symptomatic patients 30% had both acute attacks and skin symptoms and 80% had skin symptoms. Fragility (95%) and blistering (46%) of the skin in the backs of the hands were the most common skin symptoms. Transient correction of porphyrin metabolism using eight haem arginate infusions within five weeks had no effect on the skin symptoms in three of four patients with VP. In one case skin symptoms disappeared transiently. One patient with homozygous VP had severe photosensitivity since birth. Sensory polyneuropathy, glaucoma and renal failure developed during the 25-year follow-up without the presence of acute attacks. The I12T mutation was detected in both of his alleles in the protoporphyrinogen oxidase gene. Lack of skin symptoms and infrequency of acute attacks (1/9) in the patients with I12T mutation at the heterozygous stage indicate a mild phenotype (the penetrance 11%). Four mutations (751delGAGAA, 1122delT, C286T, C343T) in the FECH gene were characterised in four of 15 families with EPP. Burning pain (96%) and swelling (92%) of the sun-exposed skin were the major skin symptoms. Hepatopathy appeared in one of 25 symptomatic patients (4%). Clinical manifestations and associated factors of PCT were similar in the sporadic and familial types of PCT. The majority of the patients with PCT had one to three precipitating factors: alcohol intake (78%), mutations in hemochromatosis associated gene (50%), use of oestrogen (25% of women) and hepatitis B or C infections (25 %). Fatty liver disease (67%) and siderosis (67%) were commonly found in their liver biopsies. The major histopathological change of the sun-exposed skin in the patients with VP (n=20), EPP (n=8) and PCT (n=5) was thickening of the vessel walls of the upper dermis suggesting that the vessel wall is the primary site of the phototoxic reaction in each type of porphyria. The fine structure of the vessel walls was similar in VP, EPP and PCT consisting of the multilayered basement membrane and excess of finely granular substance between the layers which were surrounded by the band of homogenous material. EPP was characterised by amorphous perivascular deposits extending also to the extravascular space. In direct immunofluorescence study homogenous IgG deposits in the vessel walls of the upper dermis of the sun-exposed skin were demonstrated in each type of porphyria. In EPP the excess material around vessel walls consisted of other proteins such as serum amyloid protein, and kappa and lambda light chains in addition to the basement membrane constituents such as collagen IV and laminin. These results suggest that the alterations of the vessel walls are a consequence of the repeated damage and the repairing process in the vessel wall. The microscopic alterations could be demonstrated even in the normal looking but sun-exposed skin of the patients with EPP during the symptom-free phase suggesting that vascular change can be chronic. The stability of vascular changes in the patients with PCT after treatment indicates that circulating porphyrins are not important for the maintenance of the changes.