Publications

Mathematics of Social Systems

A tutorial on networks in social systems: A mathematical modeling perspective

HZB (2023)

arXiv:2302.00801

Emergence of polarization in a sigmoidal bounded-confidence model of opinion dynamics

HZB, Philip S Chodrow, Mason A Porter (2022)

arXiv: 2209.07004 

A bounded confidence model of opinion dynamics on hypergraphs

Abigail Hickok, Yacoub Kureh, HZB, Michelle Feng, Mason A Porter (2022)

SIAM Journal on Applied Dynamical Systems

A model for the influence of media on the ideology of content in online social networks

HZB and Mason Porter (2020) 

Physical Review Research

Mathematical Biology

Disease detectives: using mathematics to forecast the spread of infectious diseases

HZB, Unchitta Kanjanasaratool, Yacoub Kureh, and Mason Porter (2020) 

Frontiers for Young Minds

How emergent social patterns in allogrooming combat parasitic infections

Shelby Wilson, Suzanne Sindi, HZB, Maryann Hohn, Candice Price, Ami Radunskaya, Nakeya Williams, and Nina Fefferman (2020

Frontiers in Ecology and Evolution

How disease risks can impact the evolution of social behaviors and emergent population organization

Nakeya Williams, HZB, Maryann Hohn, Candice Price, Ami Radunskaya, Suzanne Sindi, Shelby Wilson, and Nina Fefferman (2018

Understanding complex biological systems with mathematics

Mathematical analysis of the impact of social structure on ectoparasite load in allogrooming populations

HZB, Maryann Hohn, Candice Price, Ami Radunskaya, Suzanne Sindi, Nakeya Williams, Shelby Wilson, and Nina Fefferman (2018) 

Understanding complex biological systems with mathematics

Turing mechanism for homeostatic control of synaptic density during C. elegans growth

HZB and Paul Bressloff (2017

Physical Review E

A mechanism for Turing pattern formation with active and passive tranasport

HZB and Paul Bressloff (2016

SIAM Journal on Applied Dynamical Systems

Course-graining intermittent intracellular transport: two- and three-dimensional models

Sean Lawley, Marie Tuft, and HZB (2015

Physical Review E

Quasicycles in the stochastic hybrid Morris-Lecar neural model

HZB and Paul Bressloff (2015

Physical Review E