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This study suggests that immune privilege guardians and the pro-inflammatory cytokine interferon-γ significantly influence the dynamics of alopecia areata, supporting the hypothesis that immune privilege collapse is crucial in its development.

This review systematically evaluates 13 animal and 2 mathematical models for alopecia areata, assessing their effectiveness in understanding the condition's pathogenesis and aiding in the development of new therapeutic strategies.

This study developed a mathematical model to simulate immune interactions and hair cycle dynamics in alopecia areata, identifying influential factors affecting hair growth and offering insights into potential treatment strategies by targeting immune dysregulation.

This study developed a mathematical model indicating that the amino acid sequences of intermediate filament proteins, rather than flexibility differences, significantly impact assembly rates.

This study's model suggests that low androgen levels can increase selection for prostate cancer phenotypes resistant to hormonal therapy, potentially leading to more aggressive forms of cancer.

This review examines how mathematical modeling of the MAPK pathway, enhanced by single-cell proteomic data, improves understanding of regulatory mechanisms, predicts system behavior, and guides experimental research, emphasizing recent developments in modeling and inference.

This review highlights the need for methodologies to understand and quantify drug penetration into hair follicles as significant drug pathways, noting this area lacks comprehensive articles and reports no new results.

This study observed that nevus melanocytes do not exhibit signs of senescence, suggesting that their growth arrest is due to cell interactions and not directly caused by BRAF activation.

This study suggests that the growth arrest of nevus melanocytes is not due to oncogene-induced senescence but rather to collective cell interactions, similar to those in normal tissue size regulation.

This mathematical model of alopecia areata illustrates how inflammatory autoimmune responses interrupt the anagen phase of hair growth, and may help evaluate treatments and identify new therapeutic targets.

In this study, researchers developed a mathematical model to explore how immune system dynamics affect hair follicle behavior in alopecia areata, identifying key parameters influencing disease progression and suggesting potential treatment strategies targeting immune dysregulation.

This study developed a mathematical model to explore the interactions between hair cycle dynamics and immune system activity in alopecia areata, providing insights into disease progression and potential targets for treatment by simulating immune response effects on hair follicles.

This study developed a mathematical model and online tool using serum AMH, androstenedione levels, UML, and BMI to screen for undiagnosed PCOS, particularly useful for Asian populations.

This study developed a mathematical model using hair biomarkers (levels of Mg, K, Fe, Al, Cr) to noninvasively predict iron content in Hereford cattle muscle tissue, potentially improving livestock management and meat quality.

This study developed and analyzed a mathematical model for alopecia areata involving interactions among immune cells and cytokines, establishing conditions under which hairless patches can become stable and pervasive, particularly with certain biological rate levels and chemotactic sensitivities.

In this study, researchers developed a mathematical model of outer hair cell hair bundles that replicates experimental responses to mechanical stimuli, providing insights into the stimulus-dependent adaptation mechanisms and the functional significance of their three-row stereocilia configuration in mammalian hearing.

This research presents the Dodatek A model, elaborating on androgen function through new mathematical indices and methodological improvements, shifting focus from serum hormone concentrations to system interactions to better describe androgen activity comprehensively.

This study developed a mathematical model to explore hair follicle regeneration mechanisms, showing that low spontaneous apoptosis rates help regenerate hair follicles after ionizing radiation, while high rates lead to degeneration during the catagen phase.

This study found that hair follicles across mouse skin form a heterogeneous regenerative field, with distinct cycling dynamics influenced by the balance of activator and inhibitor signals, which could inform other organ regeneration research.

This paper argues that the cycling hair follicle serves as a valuable model for systems biology research, highlighting its potential for translational medicine.

This review highlights the potential role of mathematical and computational approaches in enhancing and accelerating the clinical translation of regenerative medicine products but reports no new clinical findings.

This study suggests that barophoresis may be feasible for delivering drugs to the gums in treating chronic generalized periodontitis, with an optimal gum-nozzle distance of 10-15 mm for safe application.

This study developed mathematical models showing that heat penetrates individual hair quickly but takes longer to reach the center of hair bundles, helping understand potential damage from high-temperature styling tools.

This study developed mathematical models to simulate phosphate uptake in rice and Arabidopsis, suggesting a phosphate-sensitive repressor could regulate PHO2 mRNA levels, and highlighting potential targets and traits for improving phosphorus-use efficiency.

This study established a mathematical model for measuring uncertainty in the HPLC determination of tablet content and content uniformity, which the authors concluded to be reasonable and reliable.

This study proposes a new mathematical model, the Harmonic Mean equation, for precisely quantifying nuclear pleomorphism in breast cancer grading, showing high performance with accuracy, recall, specificity, precision, and F1-score metrics.

This study found that a mathematical model predicts signaling heterogeneity in epithelial outer root sheath cells is necessary for hair follicles to maintain size and grow long hair fibers, supported by molecular experiments.

This study developed an in vitro system to analyze human skin progenitor cells' ability to form hair peg-like structures, providing insights for engineering hair follicle organoids.

This study clarified and quantified the concept of hair transparency using a validated mathematical model based on measurable hair properties and consumer perception data from stylists in Japan and China.

Various techniques and tools for hair restoration were presented in 1998, including a mathematical model for donor area, use of lasers in surgery, methods for controlling grafted hair direction, and ways to increase graft yield. Satisfaction rates were around 39%, and studies showed trauma and dehydration can damage hair follicles.