Breaking through the glass ceiling: The three-dimensional model (Macro, Meso and Micro) towards promoting women participation in an academic context: Insights from a mixed-methods approach

This study aimed at bridging this gap and proposed a Three-Dimensional Model (Macro, Meso, and Micro). It also attempted to gain a deeper understanding of the nature of the glass ceiling, which limits women's participation in higher decision-making positions and determined how to overcome these barriers. The study adopted a mixed-methods approach. Three exploratory workshops involving 65 academic women leaders were conducted at three Saudi universities. This was followed by a field survey of the overall population involving 213 female leaders. Then six interviews of 35 female leaders were conducted. The results of the field survey illustrated the barriers preventing women from career development. According to the participants, the most challenging barriers at the institutional level were related to administrative and organizational aspects. They were followed by the barriers related to institutional culture. The social and personal barriers were ranked the last. The results of the interviews also revealed a set of ideas, which proposed methods to support women's progress to senior positions. They included political authority, policy development, open-door policy, adherence to the standards for selecting leaders based on competence, continuous evaluation, and professional development. The important role of the academic woman leader in the development of her career requires her to take responsibility for her professional growth and meet the requirements of the leadership role. The study recommends a comprehensive and profound treatment of the glass ceiling phenomenon. The study recommends a comprehensive training plan to support the skills, experiences, and capabilities of qualified women to occupy academic leadership. Benefiting from international expertise regarding this issue is highly recommended. There must be continuous monitoring and analysis of some quantitative and qualitative indicators based on an accurate database related to the academic empowerment of Saudi women.

Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons

We consider a two-dimensional model of viscoelastic von Kármán plates in the Kelvin’s-Voigt’s rheology derived from a three-dimensional model at a finite-strain setting in Friedrich and Kružík (Arch Ration Mech Anal 238: 489–540, 2020). As the width of the plate goes to zero, we perform a dimension-reduction from 2D to 1D and identify an effective one-dimensional model for a viscoelastic ribbon comprising stretching, bending, and twisting both in the elastic and the viscous stress. Our arguments rely on the abstract theory of gradient flows in metric spaces by Sandier and Serfaty (Commun Pure Appl Math 57:1627–1672, 2004) and complement the $$\Gamma $$ Γ -convergence analysis of elastic von Kármán ribbons in Freddi et al. (Meccanica 53:659–670, 2018). Besides convergence of the gradient flows, we also show convergence of associated time-discrete approximations, and we provide a corresponding commutativity result.

Thermodynamic formalism for transient dynamics on the real line

We develop a new thermodynamic formalism to investigate the transient behaviour of maps on the real line which are skew-periodic Z -extensions of expanding interval maps. Our main focus lies in the dimensional analysis of the recurrent and transient sets as well as in determining the full dimension spectrum with respect to α-escaping sets. Our results provide a one-dimensional model for the phenomenon of a dimension gap occurring for limit sets of Kleinian groups. In particular, we show that a dimension gap occurs if and only if we have non-zero drift and we are able to precisely quantify its width as an application of our new formalism.

Topographic mapping of the glioblastoma proteome reveals a triple-axis model of intra-tumoral heterogeneity

Glioblastoma is an aggressive form of brain cancer with well-established patterns of intra-tumoral heterogeneity implicated in treatment resistance and progression. While regional and single cell transcriptomic variations of glioblastoma have been recently resolved, downstream phenotype-level proteomic programs have yet to be assigned across glioblastoma’s hallmark histomorphologic niches. Here, we leverage mass spectrometry to spatially align abundance levels of 4,794 proteins to distinct histologic patterns across 20 patients and propose diverse molecular programs operational within these regional tumor compartments. Using machine learning, we overlay concordant transcriptional information, and define two distinct proteogenomic programs, MYC- and KRAS-axis hereon, that cooperate with hypoxia to produce a tri-dimensional model of intra-tumoral heterogeneity. Moreover, we highlight differential drug sensitivities and relative chemoresistance in glioblastoma cell lines with enhanced KRAS programs. Importantly, these pharmacological differences are less pronounced in transcriptional glioblastoma subgroups suggesting that this model may provide insights for targeting heterogeneity and overcoming therapy resistance.