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1. Determinant of the Finite Volume Laplacian

   https://doi.org/10.1007/s00454-022-00429-1  

   Doehrman, Thomas; Glickenstein, David (August 2022, Discrete & Computational Geometry)

   The finite volume Laplacian can be defined in all dimensions and is a natural way to approximate the operator on a simplicial mesh. In the most general setting, its definition with orthogonal duals may require that not all volumes are positive; an example is the case corresponding to two-dimensional finite elements on a non-Delaunay triangulation. Nonetheless, in many cases two- and three-dimensional Laplacians can be shown to be negative semidefinite with a kernel consisting of constants. This work generalizes work in two dimensions that gives a geometric description of the Laplacian determinant; in particular, it relates the Laplacian determinant on a simplex in any dimension to certain volume quantities derived from the simplex geometry. 

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2. The volume-filtering immersed boundary method

   https://doi.org/10.1016/j.jcp.2023.112136  

   Dave, Himanshu; Herrmann, Marcus; Kasbaoui, M. Houssem (August 2023, Journal of Computational Physics)
3. Behavioral adjustment moderates the effect of neuroticism on brain volume relative to intracranial volume

   https://doi.org/10.1111/jopy.12858  

   Yu, Qinggang; Schaefer, Stacey M.; Davidson, Richard J.; Kitayama, Shinobu (January 2023, Journal of Personality)

   Abstract Objective The present study examined whether the effect of neuroticism on brain structure is moderated by behavioral adjustment. Background Neuroticism is widely thought to be harmful to health. However, recent work using proinflammatory biomarkers showed that this effect depends on behavioral adjustment, the willingness and ability to adjust and cope with environmental contingencies, such as different opinions of others or unpredictable life situations. Here, we sought to extend this observation to “brain health” by testing total brain volume (TBV). Method Using a community sample of 125 Americans, we examined structural magnetic resonance imaging of the brain and quantified TBV. We tested whether the effect of neuroticism on TBV was moderated by behavioral adjustment, net of intracranial volume, age, sex, educational achievement, and race. Results Behavioral adjustment significantly moderated the effect of neuroticism on TBV, such that neuroticism was associated with lower TBV only when behavioral adjustment was low. There was no such effect when behavioral adjustment was high. Conclusion The present findings suggest that neuroticism is not debilitating to those who constructively cope with stress. Implications are further discussed. 

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4. Volume of convex polytopes equals mixed volume of simplices

   https://doi.org/10.1007/s00013-023-01836-3  

   Chen, Tianran (April 2023, Archiv der Mathematik)
5. The volume changes of unfolding of dsDNA

   https://doi.org/10.1016/j.bpj.2022.08.005  

   Makhatadze, George I.; Chen, Calvin R.; Khutsishvili, Irine; Marky, Luis A. (December 2022, Biophysical Journal)