Research Article10.1016/j.mbs.2025.109586New results on traveling wave solutions for a Keller-Segel system with nonlinear chemical gradient.Feb 01, 2026Mathematical biosciencesShangbing Ai + 1 more +1CiteListenSave
Research Article10.1016/j.mbs.2025.109583Integrating machine learning into the in silico clinical trial pipeline.Jan 01, 2026Mathematical biosciencesRebecca A Bekker + 4 more +4CiteListenSave
Research Article110.1016/j.mbs.2025.109561Stability and bifurcation analysis of a predator-prey system with feedback-controlled odour and wind-driven decay.Dec 01, 2025Mathematical biosciencesDipam Das + 3 more +3CiteListenSave
Research Article110.1016/j.mbs.2025.109543Model formulation and oscillatory patterns in immune-pathogen dynamics during Brucellosis infection.Dec 01, 2025Mathematical biosciencesZehui Li + 4 more +4CiteListenSave
Research Article110.1016/j.mbs.2025.109537A dynamic model for Waddington's landscape accounting for cell-to-cell communication.Dec 01, 2025Mathematical biosciencesSimon Merkt + 5 more +5Waddington's landscape provides a conceptual model for developmental processes. It is the basis of various mathematical models describing cell maturation and development at cell and population levels. Yet, these mathematical models mostly disregard cell-to-cell communication, an essential process that modulates cellular decision-making and population dynamics. In this study, we provide a dynamical model for cell maturation and development which can be seen as an extension of Waddington's landscape. The coupled system of partial and ordinary differential equations describes cell density along the cell state together with ligand concentrations. Cell-state-dependent ligand production determines ligand availability, which controls population-level processes. We provide proof of the existence and uniqueness of solutions for our coupled differential equation system and demonstrate the model's validity by analyzing single-cell transcriptomics data. Our results show that cell-to-cell communication is essential for accurately depicting biological recovery processes, such as the regeneration of stem cells in the intestine's crypt and the response of immune cells upon LSP stimulation. Our findings underscore the importance of incorporating cell-to-cell communication into mathematical models of biological development. By doing so, we unlock the potential for deeper insights into complex processes such as tissue regeneration and immune responses, offering new avenues for understanding and predicting the dynamics of biological recovery and cell activation.Read moreCiteListenSave
Research Article110.1016/j.mbs.2025.109519A new optimized regularized Stokeslet model reveals the effects of multicellular protozoan colony configuration on hydrodynamic performance.Nov 01, 2025Mathematical biosciencesHongfei Chen + 5 more +5CiteListenSave
Research Article110.1016/j.mbs.2025.109522Impacts of competition and phenotypic plasticity on the viability of adaptive therapy.Nov 01, 2025Mathematical biosciencesB Vibishan + 6 more +6CiteListenSave
Research Article10.1016/s0025-5564(25)00179-8Editorial BoardNov 01, 2025Mathematical BiosciencesCiteListenSave
Research Article210.1016/j.mbs.2025.109521Nonhomogeneous mixing reduces disease prevalence.Oct 01, 2025Mathematical biosciencesDaozhou Gao + 1 more +1CiteListenSave
Research Article110.1016/j.mbs.2025.109506Optimal control of eggplant pest populations in a Predator-Prey-Parasitoid model with seasonal growth effects.Sep 01, 2025Mathematical biosciencesMona Zevika + 1 more +1CiteListenSave