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Asymmetric cell divisions are essential for the development of multicellular organisms. To proceed, they require an initially symmetric cell to polarize. In Caenorhabditis elegans zygotes, anteroposterior polarization is facilitated by a large-scale flow of the actomyosin cortex, which directs the asymmetry of the first mitotic division. Cortical flows(More)
UNLABELLED The Nucleic Acid Package (NUPACK) is a growing software suite for the analysis and design of nucleic acid systems. The NUPACK web server (http://www.nupack.org) currently enables: ANALYSIS thermodynamic analysis of dilute solutions of interacting nucleic acid strands. DESIGN sequence design for complexes of nucleic acid strands intended to(More)
Motivated by the analysis of natural and engineered DNA and RNA systems, we present the first algorithm for calculating the partition function of an unpseudoknotted complex of multiple interacting nucleic acid strands. This dynamic program is based on a rigorous extension of secondary structure models to the multistranded case, addressing representation and(More)
Nearly 60 years ago, Alan Turing showed theoretically how two chemical species, termed morphogens, diffusing and reacting with each other can generate spatial patterns. Diffusion plays a crucial part in transporting chemical signals through space to establish the length scale of the pattern. When coupled to chemical reactions, mechanical processes - forces(More)
We discuss pattern formation in active fluids in which active stress is regulated by diffusing molecular components. Nonhomogeneous active stress profiles create patterns of flow which transport stress regulators by advection. Our work is motivated by the dynamics of the actomyosin cell cortex in which biochemical pathways regulate active stress. We present(More)
In the Caenorhabditis elegans zygote, a conserved network of partitioning-defective (PAR) polarity proteins segregates into an anterior and a posterior domain, facilitated by flows of the cortical actomyosin meshwork. The physical mechanisms by which stable asymmetric PAR distributions arise from transient cortical flows remain unclear. We present evidence(More)
A theoretical examination of kinetic mechanisms for forming knots and links in nucleic acid structures suggests that molecules involving base pairs between loops are likely to become topologically trapped in persistent frustrated states through the mechanism of 'helix-driven wrapping'. Augmentation of the state space to include both secondary structure and(More)
All Rights Reserved iii Acknowledgements Thanks to my advisor Erik Winfree, for his enthusiasm, expertise and encouragement. The models presented here are due in a large part to helpful discussions with Niles Pierce, Loving, did summer research projects based on Multistrand and in the process helped build and shape the simulator. There are many people who(More)