Mathematical model of gender bias and homophily in professional hierarchies

Clifton, Sara M.; Gemmer, John; Karamchandani, Avinash J.; Autry, Eric A.; McMahon, Patrick J.; Sun, Grace Y.

doi:10.1063/1.5066450

Cited by 14 publications

(10 citation statements)

References 38 publications

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“…If the neighbourhoods were completely independent of one another, then (X i , Y i ), i = 1, 2 would separately satisfy (1). But the population dynamics in one neighbourhood is affected by movement of population to and from the other neighbourhood.…”

Section: Linear Tolerance Schedulesmentioning

confidence: 99%

A dynamical systems model of unorganized segregation in two neighborhoods

Haw

Hogan

2020

The Journal of Mathematical Sociology

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We present a complete analysis of the Schelling dynamical system [5] of two connected neighbourhoods, with or without population reservoirs, for different types of linear and nonlinear tolerance schedules.We show that stable integration is only possible when the minority is small and combined tolerance is large. Unlike the case of the single neighbourhood, limiting one population does not necessarily produce stable integration and may destroy it.We conclude that a growing minority can only remain integrated if the majority increases its own tolerance. Our results show that an integrated single neighbourhood may not remain so when a connecting neighbourhood is created. 1 The modern usage would be self-organised. 2 Tolerance is a measure of how members of one population remain in an area where there is another population present. In contrast, homophily (or self-segregation) [1] is a measure of how much one population seeks out members of the same population.

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Section: Linear Tolerance Schedulesmentioning

confidence: 99%

A dynamical systems model of unorganized segregation in two neighborhoods

Haw

Hogan

2020

The Journal of Mathematical Sociology

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“…In the realm of mathematical modeling, (Clifton et al 2019) considered a minimal model for the roles of bias and homophily (self-segregation) in representation of women in professional hierarchies. The model consists of a system of differential equations for the fraction of women at each hierarchical level.…”

Section: Quantitative Approaches To Social Justicementioning

confidence: 99%

Institute for the Quantitative Study of Inclusion, Diversity, and Equity (QSIDE)

Topaz¹,

Rodríguez²,

Ciocanel³

et al. 2020

Notices Amer. Math. Soc.

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Notices oF the americaN mathematical society 223 COMMUNICATION shine the light of truth upon them." For QSIDE, quantitative methods are one form of this light of truth. QSIDE has a four-pronged approach to achieving our vision. First, we incubate and conduct cross-disciplinary research that leverages quantitative tools. Second, we partner with people and organizations empowered to use our discoveries. Third, we build community among researchers and practitioners working on social justice issues through virtual and in-person networking and events. Finally, we increase capacity for work aligned with our vision by equipping those researchers and practitioners with appropriate methodologies and tools. With this communication, we are reaching out to the mathematical sciences community. Our goal is to emphasize the need for social justice research and to highlight ways in which our community is uniquely positioned to contribute to this work. To motivate the QSIDE research agenda, we begin by introducing our framework for the concepts of inclusion, diversity, and equity, and by discussing the need for quantitative approaches to social justice. Inclusion, Diversity, and Equity Any potential advancement of inclusion, diversity, and equity (IDE) depends on a shared understanding of these values; we now describe QSIDE's qualitative framework for them. Diversity refers to all of the differences that make individuals unique. Axes of diversity include, but are not limited to, gender, gender expression, sex, sexual orientation, race, ethnicity, national origin, age, religion, disability status, family status, and socioeconomic background. Empirical research in psychology and organizational theory has documented that diversity can drive creativity, good

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“…It is also a process of integrating theory with practice [10,11]. e establishment of mathematical models is diverse, and it has been extensively used in various industries, such as medicine and education [12,13].…”

Section: Introductionmentioning

confidence: 99%

Risk Factors of Enterostomy Infection Caused by Bacterial Infection through Mathematical Modelling-Based Information Data Analysis

Liu

Chen

2021

Journal of Healthcare Engineering

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Objective. The study aimed to explore the risk factors of infections after enterostomy through the information data analysis method based on a mathematical model. Methods. 156 cases of enterostomy patients admitted to the hospital were retrospectively selected as the study subjects and were divided into the infection group (17 cases) and normal group (139 cases) according to whether they were complicated with infections. Then, the factors of infection and related indexes before and after surgery were analyzed, and the data of the whole hospital were estimated by mathematical modelling. Results. The length of hospital stay in the infection group was 21 ± 11.2 days, which is longer than 10.1 ± 7.1 days in the normal group ( P < 0.05). The incidence of anastomotic fistula in the infection group was 14%, which is higher than 2% in the normal group. The mortality rate of infection group (44%) was higher than that of normal group (5%). In the infection group, the incidence of single-cavity stoma (69%) was higher than that of double-cavity stoma (31%), the nosocomial infection rate (11%) was significantly higher compared with out of hospital (2%), and there were significant differences ( P < 0.05). Conclusions. Patients with malnutrition and hypoproteinemia before enterostomy, the use of gastric tube and ventilator in the treatment, single lumen stomy in the operation, and the occurrence of anastomotic fistula were more likely to have concurrent infections.

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Mathematical model of gender bias and homophily in professional hierarchies

Cited by 14 publications

References 38 publications

A dynamical systems model of unorganized segregation in two neighborhoods

A dynamical systems model of unorganized segregation in two neighborhoods

Institute for the Quantitative Study of Inclusion, Diversity, and Equity (QSIDE)

Risk Factors of Enterostomy Infection Caused by Bacterial Infection through Mathematical Modelling-Based Information Data Analysis

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