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1. On the Allee effect and directed movement on the whole space

   https://doi.org/10.3934/mbe.2023347  

   Cosner, Chris; Rodríguez, Nancy (January 2023, Mathematical Biosciences and Engineering)

   It is well known that relocation strategies in ecology can make the difference between extinction and persistence. We consider a reaction-advection-diffusion framework to analyze movement strategies in the context of species which are subject to a strong Allee effect. The movement strategies we consider are a combination of random Brownian motion and directed movement through the use of an environmental signal. We prove that a population can overcome the strong Allee effect when the signals are super-harmonic. In other words, an initially small population can survive in the long term if they aggregate sufficiently fast. A sharp result is provided for a specific signal that can be related to the Fokker-Planck equation for the Orstein-Uhlenbeck process. We also explore the case of pure diffusion and pure aggregation and discuss their benefits and drawbacks, making the case for a suitable combination of the two as a better strategy. 

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2. On the Pelletier and Caventou (1817, 1818) papers on chlorophyll and beyond

   https://doi.org/10.1007/s11120-024-01081-x  

   Govindjee, Govindjee; Stirbet, Alexandrina; Lindsey, Jonathan S; Scheer, Hugo (April 2024, Photosynthesis Research)
3. On the entropy numbers and the Kolmogorov widths

   G. Petrova, P. Wojtaszczyk (January 2022, Pure and applied functional analysis)
4. On the entropy numbers and the Kolmogorov widths

   G. Petrova, P. Wojtaszczyk (January 2022, Pure and applied functional analysis)
5. On the Impacts of Flow on the Migration and Growth of Cancer Cells

   https://doi.org/10.1115/dmd2022-1050  

   Akerkouch, Lahcen; Le, Trung; Jasuja, Haneesh; Katti, Kalpana; Katti, Dinesh (April 2022, Proceedings of the 2022 Design of Medical Devices Conference)

   Our study aims to identify the role of fluid flow in the growth of human bone cancer cells during metastasis. In our experiments, the cancer cells are seeded on the surface of cylindrical scaffolds in a bioreactor. The flow is laminar flow, which mimics the physiological conditions of the human body. A full-scale 3D high-resolution computational mesh of scaffold was created based on the physical scaffold's Micro-CT scans using open-source imaging software Slicer3D and Meshmixer. To investigate the influences of the flow on the seeded cells, we performed Computational Fluid Dynamics (CFD) simulations with the immersed boundary method (Gilmanov, Le, Sotiropoulos, JCP 300, 1, 2015). The computational domain was generated using the commercial software Gridgen. Our results show that the fluid flow velocity is highly dependent on the shape and pore sizes. In addition, the magnitude of the velocity on the surface where the cells are seeded is in between [0-0.05] μm/sallowing the cells to grow without being detached from the surface of the scaffold. Our future work will focus on (i) investigating the role of the shear stress on the distribution and orientation of the cancer cells. (ii) Simulating multiple scaffolds within the bioreactor to further quantify the impact of the gap on the flow velocity and shear. 

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