Explicit parametric solutions of lattice structures with proper generalized decomposition (PGD): applications to the design of 3D-printed architectured materials

The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-017-1534-9Architectured materials (or metamaterials) are constituted by a unit-cell with a complex structural design repeated periodically forming a bulk material with emergent mechanical properties. One may obtain specific macro-scale (or bulk) properties in the resulting architectured material by properly designing the unit-cell. Typically, this is stated as an optimal design problem in which the parameters describing the shape and mechanical properties of the unit-cell are selected in order to produce the desired bulk characteristics. This is especially pertinent due to the ease manufacturing of these complex structures with 3D printers. The proper generalized decomposition provides explicit parametic solutions of parametric PDEs. Here, the same ideas are used to obtain parametric solutions of the algebraic equations arising from lattice structural models. Once the explicit parametric solution is available, the optimal design problem is a simple post-process. The same strategy is applied in the numerical illustrations, first to a unit-cell (and then homogenized with periodicity conditions), and in a second phase to the complete structure of a lattice material specimen.Peer ReviewedPostprint (author's final draft

Explicit parametric solutions of lattice structures with proper generalized decomposition (PGD)

Architectured materials (or metamaterials) are constituted by a unit-cell with a complex structural design repeated periodically forming a bulk material with emergent mechanical properties. One may obtain specific macro-scale (or bulk) properties in the resulting architectured material by properly designing the unit-cell. Typically, this is stated as an optimal design problem in which the parameters describing the shape and mechanical properties of the unit-cell are selected in order to produce the desired bulk characteristics. This is especially pertinent due to the ease manufacturing of these complex structures with 3D printers. The proper generalized decomposition provides explicit parametic solutions of parametric PDEs. Here, the same ideas are used to obtain parametric solutions of the algebraic equations arising from lattice structural models. Once the explicit parametric solution is available, the optimal design problem is a simple post-process. The same strategy is applied in the numerical illustrations, first to a unit-cell (and then homogenized with periodicity conditions), and in a second phase to the complete structure of a lattice material specimen

280. Combination of Low-Dose Gene Therapy and Monthly Enzyme Replacement Therapy Improves the Phenotype of a Mouse Model of Lysosomal Storage Disease

Enzyme replacement therapy (ERT) is the current standard of care for Mucopolysaccharidosis type VI (MPS VI) that is caused by deficiency of arylsulfatase B (ARSB), which results in widespread accumulation and excretion of toxic glycosaminoglycans (GAGs). However, ERT is associated with inconvenient multiple and costly administrations and fails to ameliorate cardiac, visual and bone abnormalities.To overcome ERT limitations, we developed a successful gene therapy approach based on a single administration of AAV2/8 that targets liver of MPS VI animal models. Importantly, we showed that a single systemic administration of AAV2/8 at high doses (2×10e12 gc/kg) is at least as effective as the current ERT therapeutic regimen based on weekly infusions of recombinant human ARSB (rhARSB). If this translates to humans, gene therapy could replace ERT for MPS VI. However, the administration of high doses of AAV2/8 requires a challenging and costly production process, and results in cell-mediated immune responses that eliminate transduced hepatocytes. Similarly, weekly ERT infusions are costly and require high patient compliance.We therefore evaluated in a mouse model of MPS VI whether the combination of low doses of AAV2/8 at 6×10e11 or 2×10e11 gc/kg with a rarified ERT schedule (1mg/kg once a month) may be as effective as the single treatments at high doses or frequent regimen.Significant increase of ARSB activity was found in liver of all treated mice. Detectable but low activity was variably observed in spleen and kidney and was associated with significant reduction of tissue GAGs, regardless of treatment and ARSB activity levels, similarly to what observed in mice treated with high doses of AAV2/8 or weekly ERT. This supports previous data indicating that low enzymatic levels improve MPS VI visceral phenotype. Evaluation of GAG storage in myocardium and heart valves is in progress.Urinary GAG, which are a sensitive biomarker of systemic clearance of lysosomal storage and, thus of therapeutic efficacy, are slightly reduced in mice treated with either monthly ERT or 2×10e11 gc/kg of AAV2/8. The reduction is more consistent at 6×10e11 gc/kg. Importantly, urinary GAG decreased more in mice receiving the combined therapy than in those receiving single treatments. In particular, urinary GAG reduction in mice treated with both 6×10e11 gc/kg of AAV2/8 and monthly ERT was comparable to that obtained following administration of either high doses of AAV2/8, i.e 2×10e12 gc/kg, or weekly ERT.The data collected so far show similar efficacy between low-dose gene therapy combined with rarified ERT and the corresponding single treatments at high doses or frequent regimen. This should increase the safety and reduce the risks and costs associated with both therapeutic approaches

309. Optimization of Dual AAV Vectors for Gene Therapy of Inherited Retinal Diseases

Retinal gene therapy with adeno-associated viral (AAV) vectors is safe and effective in humans. However, AAV limited cargo capacity prevents its application to therapies of inherited retinal diseases (IRD) due to mutations in genes over 5 kb. Dual AAV vectors, each containing one of the two halves of a large gene expression cassette, are emerging as promising tools to overcome this limitation. Dual AAV trans-splicing and hybrid vectors transduce efficiently the mouse and pig retina and are effective in animal models of IRD. However, some of dual AAV limitations include lower levels of transgene expression compared to a single AAV vector and the production of proteins shorter than expected from either the 5'- or 3'-half AAV. Thus, further development of dual AAV vectors is required before their clinical translation. To increase dual AAV recombination we have exploited various regions of homology while to mediate the degradation of the proteins shorter than expected we have tested the ability of various degradation signals. We found that the levels of transgene expression achieved with the alternative regions of homology are similar to those achieved with dual AAV vectors carrying the AK region of homology we have previously shown to be effective. Notably, we have identified a degradation signal which mediates the degradation of proteins shorter than expected from dual AAV vectors. In conclusion, our study outlines optimized features of dual AAV vectors that improve their safety and efficacy. This represents a step towards the clinical translation of dual AAV for retinal gene therapy

447. AP20187-Inducible Insulin-Like Effects in Diabetic Muscle and Liver Transduced with AAV

Diabetes Mellitus, characterized by insulin deficiency (type I) or resistance (type II), derives from insulin action impairments in hormone target tissues: muscle, liver and adipocytes. Insulin regulates metabolism and glucose homeostasis through binding to a specific membrane receptor (IR) with tyrosine kinase activity. Induction of the insulin receptor signaling in hormone target cells may represent a tool to rescue glucose homeostasis in both insulin and insulin receptor deficiencies. Recently we have described that homodimerization of the chimeric insulin receptor LFv2IRE induced by the small dimerizer drug AP20187 results in insulin like actions in hepatocytes trasduced with adeno-associated viral vectors (AAV)

Impact of Age at Administration, Lysosomal Storage, and Transgene Regulatory Elements on AAV2/8-Mediated Rat Liver Transduction

Liver-directed gene transfer is being investigated for the treatment of systemic or liver-specific diseases. Recombinant vectors based on adeno-associated virus serotype 8 (AAV2/8) efficiently transduce liver cells allowing long term transgene expression after a single administration in animal models and in patients

Constitutive and AP20187-induced Ret activation in photoreceptors does not protect from light-induced damage.

Purpose Delivery of glial cell-derived neurotrophic factor (GDNF), either as a recombinant protein or by retinal gene transfer results in photoreceptor (PR) neuroprotection in genetic models of retinitis pigmentosa (RP). The mechanism of GDNF action and its direct targets in the retina remain unknown. The goal of the present study was to test the neuroprotective effect of GDNF from light-induced damage, a commonly used stimulus of PR degeneration, and to determine whether protection occurs directly on PRs. Methods Adeno-associated viral vectors (AAV) were developed that expressed either GDNF or a constitutively (RetMen2A) or pharmacologically activated chimeric GDNF receptor (Fv2Ret). Fv2Ret homodimerization and activation are induced by the administration of the small dimerizer drug AP20187. AAV2/2 vectors and the cytomegalovirus (CMV) promoter were used to transduce GDNF in the retina, whereas RetMen2A and Fv2Ret were transduced by AAV2/5 vectors and their expression restricted to PRs by the rhodopsin promoter. In vivo GDNF levels were measured by ELISA, RetMen2A and Fv2Ret expression and activation in vitro and/or in vivo were assessed by Western blot and immunofluorescence analyses. ERG measurements and histologic analyses were performed to assess morphologic and functional rescue, respectively. Results GDNF gene transfer resulted in sustained protein expression in the eye. In addition, the results confirmed in vivo that PR-restricted activation of Ret signaling occurred after either AAV-mediated expression of RetMen2A or AP20187-dependent Fv2Ret activation. However, this or AAV-mediated GDNF retinal gene transfer did not result in functional or morphologic PR protection from light-induced damage. Conclusions The results suggest that the apoptotic pathways responsible for light-induced PR degeneration are not inhibited by GDNF. However, GDNF signaling was shown to be regulated in time and levels in the retina by the AP20187/Fv2Ret system which is therefore available to be tested as gene-based therapeutic strategy in models of PR degeneration responsive to GDNF

Liver gene therapy with intein-mediated F8 trans-splicing corrects mouse haemophilia A

: Liver gene therapy with adeno-associated viral (AAV) vectors is under clinical investigation for haemophilia A (HemA), the most common inherited X-linked bleeding disorder. Major limitations are the large size of the F8 transgene, which makes packaging in a single AAV vector a challenge, as well as the development of circulating anti-F8 antibodies which neutralise F8 activity. Taking advantage of split-intein-mediated protein trans-splicing, we divided the coding sequence of the large and highly secreted F8-N6 variant in two separate AAV-intein vectors whose co-administration to HemA mice results in the expression of therapeutic levels of F8 over time. This occurred without eliciting circulating anti-F8 antibodies unlike animals treated with the single oversized AAV-F8 vector under clinical development. Therefore, liver gene therapy with AAV-F8-N6 intein should be considered as a potential therapeutic strategy for HemA

AAV-mediated transcription factor EB (TFEB) gene delivery ameliorates muscle pathology and function in the murine model of Pompe Disease

Pompe disease (PD) is a metabolic myopathy due to acid alpha-glucosidase deficiency and characterized by extensive glycogen storage and impaired autophagy. We previously showed that modulation of autophagy and lysosomal exocytosis by overexpression of the transcription factor EB (TFEB) gene was effective in improving muscle pathology in PD mice injected intramuscularly with an AAV-TFEB vector. Here we have evaluated the effects of TFEB systemic delivery on muscle pathology and on functional performance, a primary measure of efficacy in a disorder like PD. We treated 1-month-old PD mice with an AAV2.9-MCK-TFEB vector. An animal cohort was analyzed at 3 months for muscle and heart pathology. A second cohort was followed at different timepoints for functional analysis. In muscles from TFEB-treated mice we observed reduced PAS staining and improved ultrastructure, with reduced number and increased translucency of lysosomes, while total glycogen content remained unchanged. We also observed statistically significant improvements in rotarod performance in treated animals compared to AAV2.9-MCK-eGFP-treated mice at 5 and 8 months. Cardiac echography showed significant reduction in left-ventricular diameters. These results show that TFEB overexpression and modulation of autophagy result in improvements of muscle pathology and of functional performance in the PD murine model, with delayed disease progression