Single and two-cells shape analysis from energy functionals for three-dimensional vertex models.

Vertex models have been extensively used for simulating the evolution of multicellular systems, and have given rise to important global properties concerning their macroscopic rheology or jamming transitions. These models are based on the definition of an energy functional, which fully determines the cellular response and conclusions. While two-dimensional vertex models have been widely employed, three-dimensional models are far more scarce, mainly due to the large amount of configurations that they may adopt and the complex geometrical transitions they undergo. We here investigate the shape of single and two-cells configurations as a function of the energy terms, and we study the dependence of the final shape on the model parameters: namely the exponent of the term penalising cell-cell adhesion and surface contractility. In single cell analysis, we deduce analytically the radius and limit values of the contractility for linear and quadratic surface energy terms, in 2D and 3D. In two-cells systems, symmetrical and asymmetrical, we deduce the evolution of the aspect ratio and the relative radius. While in functionals with linear surface terms yield the same aspect ratio in 2D and 3D, the configurations when using quadratic surface terms are distinct. We relate our results with well-known solutions from capillarity theory, and verify our analytical findings with a three-dimensional vertex model.

Investigation of the anti-inflammatory and the analgesic effects of the extracts from Smilax ornata Lem. (Jamaican sarsaparilla) plant.

ETHNOPHARMACOLOGICAL RELEVANCE: Smilax ornata Lem. is used in folklore medicine to treat rheumatoid arthritis and rheumatic pain. This particular claim has never been scientifically validated before in this plant species and hence, it forms the reason for this investigation. OBJECTIVE: To investigate whether the methanol and ethyl acetate extracts of Smilax ornata Lem. possess anti-inflammatory and analgesic properties in Sprague-Dawley rats. METHODS: The anti-inflammatory and analgesic activities were investigated using carrageenan-induced paw oedema model and the tail-flick model respectively. RESULTS: The methanol extracts (200 and 400 mg/kg) and the ethyl acetate extract (400 mg/kg) exhibited significant (P < 0.05) anti-inflammatory activity when compared with that of their control groups (saline and vegetable oil respectively), with an onset of 150 min and a duration of 2.5 h. The methanol extract (200 mg/kg) exhibited significant (P < 0.05) analgesic activity, with an onset of 60 min and a duration of 2 h. Also, the methanol and the ethyl acetate extracts (400 mg/kg) exhibited significant (P < 0.05) analgesic activity when compared with that of their control groups (saline and vegetable oil respectively), with an onset of 30 min and a duration of 2.5 h. CONCLUSION: The present study provided scientific justification that the extracts of Smilax ornata Lem. possess significant anti-inflammatory and analgesic activities.