A Mathematical Model of Stroma-Supported Allometric Tumor Growth.

Mounting empirical research suggests that the stroma, or interface between healthy and cancerous tissue, is a critical determinate of cancer invasion. At the same time, a cancer cell's location and potential to proliferate can influence its sensitivity to cancer treatments. In this paper, we use ordinary differential equations to develop spatially structured models for solid tumors wherein the growth of tumor components is coordinated. The model tumors feature two components, a proliferating peripheral growth region, which potentially includes a mix of cancerous and noncancerous stroma cells, and a solid tumor core. Mathematical and numerical analysis are used to investigate how coordinated expansion of the tumor growth region and core can influence overall growth dynamics in a variety of tumor types. Model assumptions, which are motivated by empirical and in silico solid tumor research, are evaluated through comparison to tumor volume data and existing models of tumor growth.

Three-Dimensional Printing Enabled Droplet Microfluidic Device for Real-Time Monitoring of Single-Cell Viability and Blebbing Activity.

Droplet-based microfluidics with the characteristics of high throughput, low sample consumption, increasing reaction speed, and homogeneous volume control have been demonstrated as a useful platform for biomedical research and applications. The traditional fabrication methods of droplet microfluidics largely rely on expensive instruments, sophisticated operations, and even the requirement of an ultraclean room. In this manuscript, we present a 3D printing-based droplet microfluidic system with a specifically designed microstructure for droplet generation aimed at developing a more accessible and cost-effective method. The performance of droplet generation and the encapsulation capacity of the setup were examined. The device was further applied to measure the variation in cell viability over time and monitor the cell's blebbing activity to investigate its potential ability and feasibility for single-cell analysis. The result demonstrated that the produced droplets remained stable enough to enable the long-time detection of cell viability. Additionally, cell membrane protrusions featuring the life cycle of bleb initiation, expansion, and retraction can be well-observed. Three-dimensional printing-based droplet microfluidics benefit from the ease of manufacture, which is expected to simplify the fabrication of microfluidics and expand the application of the droplet approach in biomedical fields.

Mechanism and Pharmacodynamic Substance Basis of Raw and Wine-Processed Evodia rutaecarpa on Smooth Muscle Cells of Dysmenorrhea Mice.

Objectives: Evodia rutaecarpa (ER) is a well-known herbal Chinese medicine traditionally used for analgesia in dysmenorrhea, headaches, abdominal pain, etc. Notably, the analgesic effect of wine-processed Evodia rutaecarpa (PER) was more potent than that of raw ER. This research aimed to investigate the mechanism and pharmacodynamic substance basis of raw ER and PER on smooth muscle cells of dysmenorrhea mice. Methods: Metabolomics methods based on UPLC-Q-TOF-MS were utilized to analyse the differential components of ER before and after wine processing. Afterwards, the uterine smooth muscle cells were isolated from the uterine tissue of dysmenorrhea and normal mice. The isolated dysmenorrhea uterine smooth muscle cells were randomly divided into four groups: model group, 7-hydroxycoumarin group (1 mmol/L), chlorogenic acid (1 mmol/L), and limonin (50 µmol/L). The normal group consisted of the isolated normal mouse uterine smooth muscle cells, which were repeated 3 times in each group. The cell contraction and the expression of P2X3 and Ca2+ in vitro were determined using immunofluorescence staining and laser confocal; ELISA was used for detection of PGE2, ET-1, and NO content after 7-hydroxycoumarin, chlorogenic acid, and limonin administered for 24 h. Results: The metabolomics results suggested that seven differential compounds were identified in the extracts of raw ER and PER, including chlorogenic acid, 7-hydroxycoumarin, hydroxy evodiamine, laudanosine, evollionines A, limonin, and 1-methyl-2-[(z)-4-nonenyl]-4 (1H)-quinolone. The in vitro results showed that 7-hydroxycoumarin, chlorogenic acid, and limonin were able to inhibit cell contraction and PGE2, ET-1, P2X3, and Ca2+ in dysmenorrhea mouse uterine smooth muscle cells and increase the content of NO. Conclusion: Our finding suggested that the compounds of the PER were different from those of the raw ER, and 7-hydroxycoumarin, chlorogenic acid, and limonin could improve dysmenorrhea in mice whose uterine smooth muscle cell contraction was closed with endocrine factors and P2X3-Ca2+ pathway.

Regression analysis of current status data in the presence of a cured subgroup and dependent censoring.

This paper discusses regression analysis of current status data, a type of failure time data where each study subject is observed only once, in the presence of dependent censoring. Furthermore, there may exist a cured subgroup, meaning that a proportion of study subjects are not susceptible to the failure event of interest. For the problem, we develop a sieve maximum likelihood estimation approach with the use of latent variables and Bernstein polynomials. For the determination of the proposed estimators, an EM algorithm is developed and the asymptotic properties of the estimators are established. Extensive simulation studies are conducted and indicate that the proposed method works well for practical situations. A motivating application from a tumorigenicity experiment is also provided.