Carter T. Butts’s research while affiliated with University of California, Irvine and other places

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Publications (261)


Hearts for hazards: A framework for understanding relationships between message interactions, with application to hazard communications
  • Article

April 2025

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1 Read

Journal of Mathematical Sociology

Sabrina Mai

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Scott Leo Renshaw

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Ben Gibson

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[...]

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Carter T. Butts




Can an Eye for an Eye Turn the Whole World Sanctioned?

January 2025

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2 Reads

International sanctions have been an increasingly common tool for enforcinginternational norms of behavior, among other goals. There is continuing debateon what drives sanctioning behavior: while IR theories of sanctions have a longempirical history, more recent studies identify a need to extend these theoriesto better account for the endogenous nature of state sanction networks. Using acombination of network and IR-based insights, we aim to build a theory-driven,interpretable model of international sanctions that has high predictive utility.Using a separable version of dynamic network logistic regression, we test networktheories of “Matthew effects,” reciprocity, and previous state-level sanctioningactivity alongside traditional IR theories regarding the democratic peace, culturalor institutional similarity, power imbalance, and trade. Though we find thatmechanisms from established IR theories largely hold with the inclusion of networkendogeneity, endogenous network effects are more powerful than traditionalIR concepts for predictive accuracy of the sanctioning network. We also find considerabledifferences for factors driving the imposition of sanctions (tie formation)versus persistence of sanction regimes (persistence), pointing to the importanceof treating such effects separately.


Figure 1. (A) Example of elongated, branched, and cycle structures represented in a network. (B−D) Examples of possible network representations of fibril structures found in the PDB. (B) Dimer network structure of a single dimer block from PDB structure 7Q4M. 85 (C) "1-Ribbon" network structure superimposed over PDB structure 2MXU. 86 (D) "2-Ribbon" superimposed over the PDB structure 7Q4M.
Figure 3. Plots show phase boundaries between regions of the parameter space producing networks with 100% of vertices in a type of target structure. Examples of networks from each phase are shown above. (A) Convex hulls containing the pure dimer, pure 1-ribbon fibril, and pure unstructured-aggregate phases are plotted on the 2s nsp 1 plane. Equation 4 with ϕ 0 = 0 is shown as a dashed red line. Phase boundaries are located at unique values of ϕ 0 that are shown to be multiples of ϕ e * (Figure 4). Example networks (from left to right) are of the unstructuredaggregate phase, the 1-ribbon phase, and the dimer phase. (B) The pure 1-ribbon fibril convex hull and the mixed oligomer convex hull are plotted on the nsp nsp 1 2 plane. Equation 5 is shown as a dashed red line with ϕ 0 = 0. Yellow points represent networks with a majority of vertices in 2-ribbon fibril structures. Examples show two mixed 2-ribbon networks and a mixed 4-cycle oligomer network containing 2-ribbon segments and cubic oligomers. (C) Pure 1-ribbon, dimer, and unstructured-aggregate hulls, as well as the mixed oligomer hull, are plotted on the plane given by eqs 4 and 5. Equation 6 is shown as a dashed red line with ϕ 0 = 0. The window at top-right shows a close-up of the interface between phases of pure 1-ribbon, mixed oligomer, pure unstructured-aggregate, and networks with majority 2-ribbon fibrils (yellow hull). Example networks are from the majority 2-ribbon phase, the mixed oligomer phase in the region between the majority 2-ribbon phase and pure 1-ribbon phase, and the pure 1-ribbon phase. Examples were chosen to show the consistent elongating effect, and the increase in closure effects resulting in 4-cycles, 2-ribbons, and cubic oligomers at smaller ϕ 0 values. (Detailed phase boundaries are shown in Supporting Information Figure S1).
Figure 4. Segments of the 2s
Figure 5. Region between pure dimer and pure unstructuredaggregate phases (shown in previous plots by wavy texture) contains mixtures of target structures. (A) Copy of the plot in Figure 3A with the mixed network phases in bolded wave texture. Pure phases are in muted colors for visual reference. (B) Mixed networks are plotted individually, colored by the target structures produced. All points contain multiple structure types. (C) The same plot as in (B), separated by structure type. (Clockwise: dimers (turquoise), 4-cycles (blue), cubes (green), and 2-ribbons (yellow)). (D) A copy of Figure 3B, with mixed networks plotted as points. (E) The same plot as in (D), separated by structure type.
Figure 6. Sampling along i 2s 5 2 nsp 1 = + shows effects of sample size (N) on phase boundary locations (with vertical adjustments to prevent overlap), with intercepts ϕ i at 48, 1, and −47 kcal/mol on eq 5 for A, B, and C, respectively. The top trajectories for all three sets are networks with N = 150, and the bottom are those with N = 750. (A) The pure 1-ribbon phase boundaries are the same for both system sizes, shown with arrows pointing to the boundary networks. (B) The 1-ribbon/4-cycle oligomer boundary and the 1-ribbon/2-ribbon boundary are similar, with 1-ribbon and 2-ribbon networks appearing in the same locations for both system sizes. (C) Mixed 4-cycle oligomer phase and unstructured-aggregate phase boundaries are the same for both system sizes, shown by arrows pointing to boundary networks. Points are colored according to the majority target structure (colors match those in Figure 2).
Production of Distinct Fibrillar, Oligomeric, and Other Aggregation States from Network Models of Multibody Interaction
  • Article
  • Full-text available

September 2024

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30 Reads

Journal of Chemical Theory and Computation

Protein aggregation can produce a wide range of states, ranging from fibrillar structures and oligomers to unstructured and semistructured gel phases. Recent work has shown that many of these states can be recapitulated by relatively simple, topological models specified in terms of multibody interaction energies, providing a direct connection between aggregate intermolecular forces and aggregation products. Here, we examine a low-dimensional network Hamiltonian model (NHM) based on four basic multibody interactions found in any aggregate system. We characterize the phase behavior of this NHM family, showing that fibrils arise from a balance between elongation-inducing and contact-inhibiting forces. Complex oligomers (including annular oligomers resembling those thought to be toxic species in Alzheimer’s disease) also form distinct phases in this regime, controlled in part by closure-inducing forces. We show that phase structure is largely independent of system size, and provide evidence of a rich structure of minor oligomeric phases that can arise from appropriate conditions. We characterize the phase behavior of this NHM family, demonstrating the range of ordered and disordered aggregation states possible with this set of interactions. As we show, fibrils arise from a balance between elongation-inducing and contact-inhibiting forces, existing in a regime bounded by gel-like and disaggregated phases; complex oligomers (including annular oligomers resembling those thought to be toxic species in Alzheimer’s disease) also form distinct phases in this regime, controlled in part by closure-inducing forces. We show that phase structure is largely independent of system size, allowing generalization to macroscopic systems, and provide evidence of a rich structure of minor oligomeric phases that can arise from appropriate conditions.

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Comparative Analysis of Thermal Adaptations of Extremophilic Prolyl Oligopeptidases

July 2024

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16 Reads

Biophysical Journal

Prolyl oligopeptidases from psychrophilic, mesophilic, and thermophilic organisms found in a range of natural environments are studied using a combination of protein structure prediction, atomistic molecular dynamics, and trajectory analysis to determine how the S9 protease family adapts to extreme thermal conditions. We compare our results with hypotheses from the literature regarding structural adaptations that allow proteins to maintain structure and function at extreme temperatures, and we find that, in the case of prolyl oligopeptidases, only a subset of proposed adaptations are employed for maintaining stability. The catalytic and propeller domains are highly structured, limiting the range of mutations that can be made to enhance hydrophobicity or form disulfide bonds without disrupting the formation of necessary secondary structure. Rather, we observe a pattern in which overall prevalence of bound interactions (salt bridges and hydrogen bonds) is conserved by using increasing numbers of increasingly short-lived interactions as temperature increases. This suggests a role for an entropic rather than energetic strategy for thermal adaptation in this protein family.


A Return to Biased Nets: New Specifications and Approximate Bayesian Inference

May 2024

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6 Reads

The biased net paradigm was the first general and empirically tractable scheme for parameterizing complex patterns of dependence in networks, expressing deviations from uniform random graph structure in terms of latent ``bias events,'' whose realizations enhance reciprocity, transitivity, or other structural features. Subsequent developments have introduced local specifications of biased nets, which reduce the need for approximations required in early specifications based on tracing processes. Here, we show that while one such specification leads to inconsistencies, a closely related Markovian specification both evades these difficulties and can be extended to incorporate new types of effects. We introduce the notion of inhibitory bias events, with satiation as an example, which are useful for avoiding degeneracies that can arise from closure bias terms. Although our approach does not lead to a computable likelihood, we provide a strategy for approximate Bayesian inference using random forest prevision. We demonstrate our approach on a network of friendship ties among college students, recapitulating a relationship between the sibling bias and tie strength posited in earlier work by Fararo.




Citations (45)


... California has been one of the most studied states for domestic migration 61 . Further, Frey 61 Huang and Butts 62 , and others have shown that California is a high migration state with intense internal and cross-state effects. Here, we zoom into California from 1990 to 2018 and look at county-to-county migration within the state. ...

Reference:

Uncovering migration systems through spatio-temporal tensor co-clustering
California Exodus? A Network Model of Population Redistribution in the United States

Journal of Mathematical Sociology

... They also presented the influence of population density and popularity on the social network on the distances traveled by users. Huang and Butts [2023] investigated several socioeconomic characteristics and sought to understand which im-pacted migration between counties in the United States. This work examined the hypothesis that migrations occurred between similar areas, proposing a theory of segregation and social immobility about these movements. ...

Rooted America: Immobility and Segregation of the Intercounty Migration Network

American Sociological Review

... The study by Long et al. (2023) also describes advances in sample preparation, addressing the case of using matrixassisted laser desorption/ionization (MALDI) mass spectrometry imaging (MSI) for a variety of plant species. In this technique, which allows the spatial analysis of chemical distribution in a tissue, a laser beam is fired at a matrixcoated sample, transferring energy to the molecules extracted from the tissue. ...

Spatially resolved detection of small molecules from press‐dried plant tissue using MALDI imaging

... Ordinal scales could be used to examine more in-depth peer support networks, using valued ERGMs. However, valued ERGMs can cause computational difficulties (Huang and Butts, 2024). Finally, we could not use the integrated approach to compute the ERGMs, because of the small number of class groups (k = 6) and computational difficulties. ...

Parameter Estimation Procedures for Exponential-family Random Graph Models on Count-valued Networks: A Comparative Simulation Study

Social Networks

... Socio-cognitive networks are complex structures that can be understood through the lens of mechanisms involving a mixture of different entities (e.g., authors and works) and ties (e.g., citations and collaborations). One can explore these structures in fine-grained data as micro-temporal patterns (Butts et al., 2023), considering the temporal order of relational events over specific time scales. We present four general mechanisms involving socio-cognitive structures and then suggest more concrete micro-temporal mechanisms to explore these patterns. ...

I N T R O D U C T I O N Relational event models in network science

Network Science

... Studies of resilience, by contrast, have been hampered by the need to have access to dynamic models that can capture the reorganization of networks to damage. As we describe below, we are here able to leverage a set of empirically calibrated models for communication dynamics (Renshaw et al., 2023) to probe such reorganization, giving us the ability to speak to resilience per se. ...

Modeling complex interactions in a disrupted environment: Relational events in the WTC response

Network Science

... The hazard of an event to be observed may then, for example, be affected by the fact that similar events occurred in the past, the similarity of sender and receiver (nodal), their formal relationship (relational), and the time of the day (global attribute). When considering these endogenous and exogenous factors as the state of a stochastic process, relational event models are related to (and in some special cases reduce to) the continuous-time Markov chains used in some models of network dynamics (Butts, 2023). Markov models for tie changes have a long tradition in social network research as generative network models and are used in different model estimation routines (e.g., Holland & Leinhardt, 1977;Snijders, 2001). ...

Continuous Time Graph Processes with Known ERGM Equilibria: Contextual Review, Extensions, and Synthesis
  • Citing Article
  • February 2023

Journal of Mathematical Sociology

... For example, insoluble aggregates of α-synuclein in the form of 37 Lewy bodies inhibits glucocerebrosidase functioning in PD patients [5]. Amyloid fibrils 38 composed of the amyloid-β peptide (Aβ), are strongly associated with AD, as Aβ peptides 39 accumulate in the medial temporal lobe of the brain and can have neurotoxic effects, 40 leading to neurodegeneration [6]. While the importance of amyloid fibrils to biomedical 41 research is well established [2,4], and numerous equilibrated amyloid fibril structures 42 have been resolved [3,7,8], elucidating the mechanism of amyloid fibril formation is an 43 ongoing area of research with many open questions [9][10][11]. ...

Phase behavior of 1-ribbon and 2-ribbon fibril self-assembly in a simple network Hamiltonian model of protein fibrillization
  • Citing Article
  • February 2023

Biophysical Journal

... First, we investigate the trends in amino acid composition with OET of the protein, and compare observed trends with similar analyses found in the literature for other sets of homologous enzymes. Similar to previous work on the S11 protease family (13), we find that the S9 family of proteins do not follow much of the conventional wisdom on amino acid composition but instead employ a unique set of molecular adaptations to accommodate differences in thermal environment. For example, it is often claimed that thermophilic proteins contain more disulfide bonds than their lower-temperature counterparts (14,15). ...

Comparative Modeling and Analysis of Extremophilic D-Ala-D-Ala Carboxypeptidases

... Distinct mutations can yield proteins with similar physical properties, which might not be evident from the sequence alone, but for variants to retain fitness, the critical properties of each protein must be conserved [8,9]. Mutations may impact the overall dynamics and structure of a protein [10][11][12], and modifications at or near the active site of enzymes are especially important since they can modify both catalysis and protein-substrate interactions [13,14]. For example, mutations that strengthen side chain interactions within the active site may limit the dynamics of catalytic residues and inhibit function [12]. ...

Mutation Effects on Structure and Dynamics: Adaptive Evolution of the SARS-CoV-2 Main Protease
  • Citing Article
  • January 2023

Biochemistry