Linus J. Schumacher

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We address the problem of phase transitions in random site graphs. Such graphs were recently proposed as more useful abstractions of proteins and their network of interactions than standard graphs. A set of binding reactions between proteins give rise to the stochastic assembly of protein complexes. We use a rule-based language to represent and simulate(More)
This paper proposes an investigation of the global statistics of synthetic protein networks-a step towards a systemic understanding of their design space. We derive a liquidity index which describes the onset of the phase transition where an ensemble of agents aggregates into a giant cluster. This index captures the influence of both the domain distribution(More)
We examine the ability of intrinsic noise to produce complex temporal dynamics in Turing pattern formation systems, with particular emphasis on the Schnakenberg kinetics. Using power spectral methods, we characterize the behavior of the system using stochastic simulations at a wide range of points in parameter space and compare with analytical(More)
Mathematical models are becoming increasingly integrated with experimental efforts in the study of biological systems. Collective cell migration in developmental biology is a particularly fruitful application area for the development of theoretical models to predict the behaviour of complex multicellular systems with many interacting parts. In this context,(More)
MEETING REVIEW 1912 At new heights – endodermal lineages in development and disease REVIEW 1937 The origin of the mammalian kidney: implications for recreating the kidney in vitro 2002 The Hippo pathway effector Yki downregulates Wg signaling to promote retinal differentiation in the Drosophila eye 2014 Neural crest migration is driven by a few trailblazer(More)
Acknowledgement I would like to thank my advisor, Richard Andersen, for the opportunity to do this work, and for his guidance and the excellent laboratory environment he has provided. I would also like to thank my committee, Cui, and Yaser Abu-Mostafa for many productive and enjoyable discussions. I also feel very grateful for support from the Sloan Swartz(More)
Using the Index of Attitudes Toward Homosexuals to study the attitudes of 34 Asian students and 32 American students toward lesbians and gay men showed these Asian students were more likely to harbor homophobic attitudes than these American students. There were no significant sex differences between groups.
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