Search Results - "Bulletin of mathematical biology"

Commentary on Ferguson, et al., “Impact of Non-pharmaceutical Interventions (NPIs) to Reduce COVID-19 Mortality and Healthcare Demand” by Eubank, S., Eckstrand, I., Lewis, B., Venkatramanan, S., Marathe, M., Barrett, C. L.

“…A recent manuscript (Ferguson et al. in Impact of non-pharmaceutical interventions (NPIs) to reduce COVID-19 mortality and healthcare demand, Imperial College…”
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Mathematical Models of Cancer: When to Predict Novel Therapies, and When Not to by Brady, Renee, Enderling, Heiko

“…The number of publications on mathematical modeling of cancer is growing at an exponential rate, according to PubMed records, provided by the US National…”
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Optimal Control of the COVID-19 Pandemic with Non-pharmaceutical Interventions by Perkins, T. Alex, España, Guido

“…The COVID-19 pandemic has forced societies across the world to resort to social distancing to slow the spread of the SARS-CoV-2 virus. Due to the economic…”
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Modeling the Fear Effect in Predator–Prey Interactions with Adaptive Avoidance of Predators by Wang, Xiaoying, Zou, Xingfu

“…Recent field experiments on vertebrates showed that the mere presence of a predator would cause a dramatic change of prey demography. Fear of predators…”
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Sequential Data Assimilation of the Stochastic SEIR Epidemic Model for Regional COVID-19 Dynamics by Engbert, Ralf, Rabe, Maximilian M., Kliegl, Reinhold, Reich, Sebastian

“…Newly emerging pandemics like COVID-19 call for predictive models to implement precisely tuned responses to limit their deep impact on society. Standard…”
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Mathematical Models for Immunology: Current State of the Art and Future Research Directions by Eftimie, Raluca, Gillard, Joseph J., Cantrell, Doreen A.

“…The advances in genetics and biochemistry that have taken place over the last 10 years led to significant advances in experimental and clinical immunology. In…”
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Using Experimental Data and Information Criteria to Guide Model Selection for Reaction–Diffusion Problems in Mathematical Biology by Warne, David J., Baker, Ruth E., Simpson, Matthew J.

“…Reaction–diffusion models describing the movement, reproduction and death of individuals within a population are key mathematical modelling tools with…”
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A Mathematical Framework for Modelling the Metastatic Spread of Cancer by Franssen, Linnea C., Lorenzi, Tommaso, Burgess, Andrew E. F., Chaplain, Mark A. J.

“…Cancer is a complex disease that starts with mutations of key genes in one cell or a small group of cells at a primary site in the body. If these cancer cells…”
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Controlling Multiple COVID-19 Epidemic Waves: An Insight from a Multi-scale Model Linking the Behaviour Change Dynamics to the Disease Transmission Dynamics by Tang, Biao, Zhou, Weike, Wang, Xia, Wu, Hulin, Xiao, Yanni

“…COVID-19 epidemics exhibited multiple waves regionally and globally since 2020. It is important to understand the insight and underlying mechanisms of the…”
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SIS Epidemic Propagation on Hypergraphs by Bodó, Ágnes, Katona, Gyula Y., Simon, Péter L.

“…Mathematical modelling of epidemic propagation on networks is extended to hypergraphs in order to account for both the community structure and the nonlinear…”
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Multistationarity in Structured Reaction Networks by Dickenstein, Alicia, Millán, Mercedes Pérez, Shiu, Anne, Tang, Xiaoxian

“…Many dynamical systems arising in biology and other areas exhibit multistationarity (two or more positive steady states with the same conserved quantities)…”
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Determining Important Parameters in the Spread of Malaria Through the Sensitivity Analysis of a Mathematical Model by Chitnis, Nakul, Hyman, James M., Cushing, Jim M.

“…We perform sensitivity analyses on a mathematical model of malaria transmission to determine the relative importance of model parameters to disease…”
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Propagation of Epidemics Along Lines with Fast Diffusion by Berestycki, Henri, Roquejoffre, Jean-Michel, Rossi, Luca

“…It has long been known that epidemics can travel along communication lines, such as roads. In the current COVID-19 epidemic, it has been observed that major…”
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A Multi-stage Representation of Cell Proliferation as a Markov Process by Yates, Christian A., Ford, Matthew J., Mort, Richard L.

“…The stochastic simulation algorithm commonly known as Gillespie’s algorithm (originally derived for modelling well-mixed systems of chemical reactions) is now…”
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Competitive Exclusion in a General Multi-species Chemostat Model with Stochastic Perturbations by Xu, Chaoqun, Yuan, Sanling, Zhang, Tonghua

“…Based on the fact that the continuous culture of microorganisms in a chemostat is subject to environmental noises, we present and analyze a stochastic…”
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Comparison of Drug Inhibitory Effects (IC50) in Monolayer and Spheroid Cultures by Berrouet, Catherine, Dorilas, Naika, Rejniak, Katarzyna A., Tuncer, Necibe

“…Traditionally, the monolayer (two-dimensional) cell cultures are used for initial evaluation of the effectiveness of anticancer drugs. In particular, these…”
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Methods of Model Reduction for Large-Scale Biological Systems: A Survey of Current Methods and Trends by Snowden, Thomas J., van der Graaf, Piet H., Tindall, Marcus J.

“…Complex models of biochemical reaction systems have become increasingly common in the systems biology literature. The complexity of such models can present a…”
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Influence of Curvature, Growth, and Anisotropy on the Evolution of Turing Patterns on Growing Manifolds by Krause, Andrew L., Ellis, Meredith A., Van Gorder, Robert A.

“…We study two-species reaction–diffusion systems on growing manifolds, including situations where the growth is anisotropic yet dilational in nature. In…”
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Noise-Induced Transitions in a Nonsmooth Producer–Grazer Model with Stoichiometric Constraints by Yuan, Sanling, Wu, Dongmei, Lan, Guijie, Wang, Hao

“…Stoichiometric producer–grazer models are nonsmooth due to the Liebig’s Law of Minimum and can generate new dynamics such as bistability for producer–grazer…”
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Estimating Tumor Growth Rates In Vivo by Talkington, Anne, Durrett, Rick

“…In this paper, we develop methods for inferring tumor growth rates from the observation of tumor volumes at two time points. We fit power law, exponential,…”
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