Mathematical analysis of vortex sheets

We consider the motion of the interface separating two domains of the same fluid that moves with different velocities along the tangential direction of the interface. The evolution of the interface (the vortex sheet) is governed by the Birkhoff-Rott (BR) equations. We consider the question of the weakest possible assumptions such that the Birkhoff-Rott equation makes sense. This leads us to introduce chord-arc curves to this problem. We present three results. The first can be stated as the following: Assume that the Birkhoff-Rott equation has a solution in a weak sense and that the vortex strength is bounded away from 0 and ∞. Moreover, assume that the solution gives rise to a vortex sheet curve that is chord-arc. Then the curve is automatically smooth, in fact analytic, for fixed time. The second and third results demonstrate that the Birkhoff-Rott equation can be solved if and only if only half the initial data is given. © 2005 Wiley Periodicals, Inc.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/34394/1/20110_fta.pd

Site-specific CRISPR-based mitochondrial DNA manipulation is limited by gRNA import

Achieving CRISPR Cas9-based manipulation of mitochondrial DNA (mtDNA) has been a long-standing goal and would be of great relevance for disease modeling and for clinical applications. In this project, we aimed to deliver Cas9 into the mitochondria of human cells and analyzed Cas9-induced mtDNA cleavage and measured the resulting mtDNA depletion with multiplexed qPCR. In initial experiments, we found that measuring subtle effects on mtDNA copy numbers is challenging because of high biological variability, and detected no significant Cas9-caused mtDNA degradation. To overcome the challenge of being able to detect Cas9 activity on mtDNA, we delivered cytosine base editor Cas9-BE3 to mitochondria and measured its effect (C → T mutations) on mtDNA. Unlike regular Cas9-cutting, this leaves a permanent mark on mtDNA that can be detected with amplicon sequencing, even if the efficiency is low. We detected low levels of C → T mutations in cells that were exposed to mitochondrially targeted Cas9-BE3, but, surprisingly, these occurred regardless of whether a guide RNA (gRNA) specific to the targeted site, or non-targeting gRNA was used. This unspecific off-target activity shows that Cas9-BE3 can technically edit mtDNA, but also strongly indicates that gRNA import to mitochondria was not successful. Going forward mitochondria-targeted Cas9 base editors will be a useful tool for validating successful gRNA delivery to mitochondria without the ambiguity of approaches that rely on quantifying mtDNA copy numbers

Combined lentiviral- and RNA-mediated CRISPR/Cas9 delivery for efficient and traceable gene editing in human hematopoietic stem and progenitor cells

The CRISPR/Cas9 system is a versatile tool for functional genomics and forward genetic screens in mammalian cells. However, it has been challenging to deliver the CRISPR components to sensitive cell types, such as primary human hematopoietic stem and progenitor cells (HSPCs), partly due to lentiviral transduction of Cas9 being extremely inefficient in these cells. Here, to overcome these hurdles, we developed a combinatorial system using stable lentiviral delivery of single guide RNA (sgRNA) followed by transient transfection of Cas9 mRNA by electroporation in human cord blood-derived CD34+ HSPCs. We further applied an optimized sgRNA structure, that significantly improved editing efficiency in this context, and we obtained knockout levels reaching 90% for the cell surface proteins CD45 and CD44 in sgRNA transduced HSPCs. Our combinatorial CRISPR/Cas9 delivery approach had no negative influence on CD34 expression or colony forming capacity in vitro compared to non-treated HSPCs. Furthermore, gene edited HSPCs showed intact in vivo reconstitution capacity following transplantation to immunodeficient mice. Taken together, we developed a paradigm for combinatorial CRISPR/Cas9 delivery that enables efficient and traceable gene editing in primary human HSPCs, and is compatible with high functionality both in vitro and in vivo

Combinatorial gene targeting in primary human hematopoietic stem and progenitor cells

The CRISPR/Cas9 system offers enormous versatility for functional genomics but many applications have proven to be challenging in primary human cells compared to cell lines or mouse cells. Here, to establish a paradigm for multiplexed gene editing in primary human cord blood-derived hematopoietic stem and progenitor cells (HSPCs), we used co-delivery of lentiviral sgRNA vectors expressing either Enhanced Green Fluorescent Protein (EGFP) or Kusabira Orange (KuO), together with Cas9 mRNA, to simultaneously edit two genetic loci. The fluorescent markers allow for tracking of either single- or double-edited cells, and we could achieve robust double knockout of the cell surface molecules CD45 and CD44 with an efficiency of ~ 70%. As a functional proof of concept, we demonstrate that this system can be used to model gene dependencies for cell survival, by simultaneously targeting the cohesin genes STAG1 and STAG2. Moreover, we show combinatorial effects with potential synergy for HSPC expansion by targeting the Aryl Hydrocarbon Receptor (AHR) in conjunction with members of the CoREST complex. Taken together, our traceable multiplexed CRISPR/Cas9 system enables studies of genetic dependencies and cooperation in primary HSPCs, and has important implications for modelling polygenic diseases, as well as investigation of the underlying mechanisms of gene interactions

Technical considerations for the use of CRISPR/Cas9 in hematology research

The hematopoietic system is responsible for transporting oxygen and nutrients, fighting infections, and repairing tissue damage. Hematopoietic system dysfunction therefore causes a range of serious health consequences. Lifelong hematopoiesis is maintained by repopulating multipotent hematopoietic stem cells (HSCs) that replenish shorter-lived, mature blood cell types. A prokaryotic mechanism of immunity, the Clustered Regularly Interspaced Short Palindromic Repeats (CRISPR)/Cas9 nuclease system, has been recently "repurposed" to mutate mammalian genomes efficiently and in a sequence-specific manner. The application of this genome-editing technology to hematology has afforded new approaches for functional genomics and even the prospect of "correcting" dysfunctional HSCs in the treatment of serious genetic hematological diseases. In this Perspective, we provide an overview of three recent CRISPR/Cas9 methods in hematology: gene disruption, gene targeting, and saturating mutagenesis. We also summarize the technical considerations and advice provided during the May 2017 International Society of Experimental Hematology New Investigator Committee webinar on the same topic

Efficient and nontoxic biomolecule delivery to primary human hematopoietic stem cells using nanostraws

Introduction of exogenous genetic material into primary stem cells is essential for studying biological function and for clinical applications. Traditional delivery methods for nucleic acids, such as electroporation, have advanced the field, but have negative effects on stem cell function and viability. We introduce nanostraw-assisted transfection as an alternative method for RNA delivery to human hematopoietic stem and progenitor cells (HSPCs). Nanostraws are hollow alumina nanotubes that can be used to deliver biomolecules to living cells. We use nanostraws to target human primary HSPCs and show efficient delivery of mRNA, short interfering RNAs (siRNAs), DNA oligonucleotides, and dextrans of sizes ranging from 6 kDa to 2,000 kDa. Nanostraw-treated cells were fully functional and viable, with no impairment in their proliferative or colony-forming capacity, and showed similar long-term engraftment potential in vivo as untreated cells. Additionally, we found that gene expression of the cells was not perturbed by nanostraw treatment, while conventional electroporation changed the expression of more than 2,000 genes. Our results show that nanostraw-mediated transfection is a gentle alternative to established gene delivery methods, and uniquely suited for nonperturbative treatment of sensitive primary stem cells

Lysine-specific demethylase 1A (LSD1) restricts ex vivo propagation of human HSCs and is a target of UM171

Culture conditions in which hematopoietic stem cells (HSCs) can be expanded for clinical benefit are highly sought after. Here, we report that inhibition of the epigenetic regulator Lysine-specific histone demethylase 1A (LSD1) induces a rapid expansion of human cord blood derived CD34+ cells and promotes in vitro propagation of long-term repopulating HSCs by preventing differentiation. The phenotype and molecular characteristics of cells treated with LSD1 inhibitors were highly similar to cells treated with UM171, an agent promoting expansion of HSCs through undefined mechanisms, and currently tested in clinical trials. Strikingly, we found that LSD1 as well as other members of the LSD1 containing chromatin remodeling complex CoREST are rapidly poly-ubiquitinated and degraded upon UM171 treatment. CRISPR/Cas9 depletion of the CoREST core member, RCOR1, resulted in expansion of CD34+ cells similar to LSD1 inhibition and UM171. Taken together, LSD1 and CoREST restrict HSC expansion, and are principal targets of UM171, forming a mechanistic basis for the HSC promoting activity of UM171

Activation of neuronal genes via LINE-1 elements upon global DNA demethylation in human neural progenitors

DNA methylation contributes to the maintenance of genomic integrity in somatic cells, in part through the silencing of transposable elements. In this study, we use CRISPR-Cas9 technology to delete DNMT1, the DNA methyltransferase key for DNA methylation maintenance, in human neural progenitor cells (hNPCs). We observe that inactivation of DNMT1 in hNPCs results in viable, proliferating cells despite a global loss of DNA CpG-methylation. DNA demethylation leads to specific transcriptional activation and chromatin remodeling of evolutionarily young, hominoid-specific LINE-1 elements (L1s), while older L1s and other classes of transposable elements remain silent. The activated L1s act as alternative promoters for many protein-coding genes involved in neuronal functions, revealing a hominoid-specific L1-based transcriptional network controlled by DNA methylation that influences neuronal protein-coding genes. Our results provide mechanistic insight into the role of DNA methylation in silencing transposable elements in somatic human cells, as well as further implicating L1s in human brain development and disease