mathematical concepts


Summary: Numeric or quantitative entities, descriptions, properties, relationships, operations, and events.

Top Publications

  1. EDWARDS A, Layton A. Cell Volume Regulation in the Proximal Tubule of Rat Kidney : Proximal Tubule Cell Volume Regulation. Bull Math Biol. 2017;79:2512-2533 pubmed publisher
  2. Cioca G, Bacaita E, Agop M, Lupascu Ursulescu C. Anisotropy Influences on the Drug Delivery Mechanisms by Means of Joint Invariant Functions. Comput Math Methods Med. 2017;2017:5748273 pubmed publisher
    ..Then, a new equation for drug delivery mechanism, independent of the type of polymer matrix and/or drug, is proposed...
  3. Mesterton Gibbons M, Dai Y, Goubault M, Hardy I. Volatile Chemical Emission as a Weapon of Rearguard Action: A Game-Theoretic Model of Contest Behavior. Bull Math Biol. 2017;79:2413-2449 pubmed publisher
  4. Rutter E, Banks H, LeBlanc G, Flores K. Continuous Structured Population Models for Daphnia magna. Bull Math Biol. 2017;79:2627-2648 pubmed publisher
    ..Our model is fit to experimental data using the generalized least-squares framework, and we use cross-validation and Akaike Information Criteria to select hyper-parameters. We present our confidence intervals on parameter estimates. ..
  5. Ritz T, Rosenfield D, St Laurent C, Trueba A, Werchan C, Vogel P, et al. A novel biomarker associated with distress in humans: calcium-binding protein, spermatid-specific 1 (CABS1). Am J Physiol Regul Integr Comp Physiol. 2017;312:R1004-R1016 pubmed publisher
    ..CABS1 is readily detected in human saliva and is associated with psychological and physiological indicators of stress. The role of CABS1 in inflammatory processes, stress, and stress resilience requires careful study. ..
  6. Tilahun G, Makinde O, Malonza D. Modelling and Optimal Control of Typhoid Fever Disease with Cost-Effective Strategies. Comput Math Methods Med. 2017;2017:2324518 pubmed publisher
    ..Numerical results for the typhoid outbreak dynamics and its optimal control revealed that a combination of prevention and treatment is the best cost-effective strategy to eradicate the disease...
  7. Fong D, Cummings L. Mathematical Modeling of Ischemia-Reperfusion Injury and Postconditioning Therapy. Bull Math Biol. 2017;79:2474-2511 pubmed publisher
  8. Platt M, Spelke E. What can developmental and comparative cognitive neuroscience tell us about the adult human brain?. Curr Opin Neurobiol. 2009;19:1-5 pubmed publisher
  9. Albin T. Design with limited anthropometric data: A method of interpreting sums of percentiles in anthropometric design. Appl Ergon. 2017;62:19-27 pubmed publisher
    ..For combinations of two and three adjusted variables, the average absolute difference between predicted and observed proportions ranged between 0.5 and 3.0 percentage points. ..

More Information


  1. Burgess C, Burgess A, McMullen K. Modelling Risk to US Military Populations from Stopping Blanket Mandatory Polio Vaccination. Comput Math Methods Med. 2017;2017:7981645 pubmed publisher
    ..Given residual protection from childhood vaccination, risk-based vaccination may sufficiently protect troops from polio transmission...
  2. Croicu A, Jarrett A, Cogan N, Hussaini M. Short-Term Antiretroviral Treatment Recommendations Based on Sensitivity Analysis of a Mathematical Model for HIV Infection of CD₄⁺Τ Cells. Bull Math Biol. 2017;79:2649-2671 pubmed publisher
    ..We are able to identify the most significant parameters that are responsible for ART outcome and to formulate some insights into the ART success. ..
  3. Barril C, Calsina Ã, Ripoll J. On the Reproduction Number of a Gut Microbiota Model. Bull Math Biol. 2017;79:2727-2746 pubmed publisher
    ..Both quantities coincide and are equal to one at the extinction threshold, below which the bacterial population becomes extinct. Optimal values of both reproduction numbers are derived assuming parameter trade-offs. ..
  4. Lin Y, Shimojo S. Triple dissociation of duration perception regulating mechanisms: Top-down attention is inherent. PLoS ONE. 2017;12:e0182639 pubmed publisher
    ..These critical boundary conditions revealed in our study serve as quantitative constraints for neural models of duration perception. ..
  5. Ramella V, Bottosso S, Franchi A, Papa G, Bussani R, Arnež Z. Is it possible to calculate surface areas of intraoral structures from preoperative CT scan?. J Plast Reconstr Aesthet Surg. 2017;70:1143-1146 pubmed publisher
    ..Using standard template's layouts, we can create a precise preoperative flap design in the reconstruction of the tongue and of the floor of the mouth. ..
  6. van Iersel L, Moulton V, de Swart E, Wu T. Binets: Fundamental Building Blocks for Phylogenetic Networks. Bull Math Biol. 2017;79:1135-1154 pubmed publisher
    ..It is hoped that these results will eventually assist in the development of new methods for constructing phylogenetic networks from collections of smaller networks. ..
  7. Zhang W, Wang Y. Efficacy of methylphenidate for the treatment of mental sequelae after traumatic brain injury. Medicine (Baltimore). 2017;96:e6960 pubmed publisher
    ..05). The results of this study demonstrated that methylphenidate could effectively improve mental fatigue and cognitive functions in patients with TBI. ..
  8. Wang X, Zhao X. A Malaria Transmission Model with Temperature-Dependent Incubation Period. Bull Math Biol. 2017;79:1155-1182 pubmed publisher
    ..The simulation result is consistent with the obtained analytic result. In addition, we find that using the time-averaged EIP may underestimate the basic reproduction ratio. ..
  9. Ye Y, You W, Zhu W, Cui J, Chen K, Wang D. The Applications of Finite Element Analysis in Proximal Humeral Fractures. Comput Math Methods Med. 2017;2017:4879836 pubmed publisher
  10. Reed M, Best J, Golubitsky M, Stewart I, Nijhout H. Analysis of Homeostatic Mechanisms in Biochemical Networks. Bull Math Biol. 2017;79:2534-2557 pubmed publisher
    ..We discuss the many interesting mathematical and biological questions that emerge from this analysis, and we explain why understanding homeostatic control is crucial for precision medicine. ..
  11. Williams I, Wilkinson L, Limousin P, Jahanshahi M. Load-Dependent Interference of Deep Brain Stimulation of the Subthalamic Nucleus with Switching from Automatic to Controlled Processing During Random Number Generation in Parkinson's Disease. J Parkinsons Dis. 2015;5:321-31 pubmed publisher
    ..These findings are consistent with the proposal that the STN implements a switch signal from the medial frontal cortex which enables a shift from automatic to controlled processing. ..
  12. Ledder G. Scaling for Dynamical Systems in Biology. Bull Math Biol. 2017;79:2747-2772 pubmed publisher
  13. Chen D. Fractional Poisson-Nernst-Planck Model for Ion Channels I: Basic Formulations and Algorithms. Bull Math Biol. 2017;79:2696-2726 pubmed publisher
    ..Meanwhile, the proposed model motivates new challenges in terms of mathematical modeling and computations. ..
  14. Zhu X, Chen Y, Li Y, Deng Z. Automatic non-symbolic numerosity processing in preschoolers. PLoS ONE. 2017;12:e0178396 pubmed publisher
    ..Results showed no correlation between inhibition skills and the size congruity effect and only interference effects were found. We also found a larger interference effect in low ratio conditions than in high ratio conditions. ..
  15. Ford J, Green J, Green M. Should We Restrict Vitamin A Intake, a Minor Contributor to Plasma Retinol Turnover, When Using Retinol Isotope Dilution Equations to Estimate an Individual's Vitamin A Status, or Should Vitamin A Balance Be Maintained?. J Nutr. 2017;147:1483-1486 pubmed publisher
    ..Vitamin A status can also be estimated if intake is completely restricted and a different (non-steady state) equation is applied at an appropriate time after isotopic equilibrium has been reached. ..
  16. Pipatsart N, Triampo W, Modchang C. Stochastic Models of Emerging Infectious Disease Transmission on Adaptive Random Networks. Comput Math Methods Med. 2017;2017:2403851 pubmed publisher
    ..Our results also suggest the existence of a critical value for the ratio of disease transmission and adaptation probabilities below which the epidemic cannot occur...
  17. de Stavola B, Daniel R, Ploubidis G, Micali N. Mediation analysis with intermediate confounding: structural equation modeling viewed through the causal inference lens. Am J Epidemiol. 2015;181:64-80 pubmed publisher
    ..Data from the Avon Longitudinal Study of Parents and Children (1990-2005) are used for illustration. ..
  18. Hordijk W, Wills P, Steel M. Autocatalytic sets and biological specificity. Bull Math Biol. 2014;76:201-24 pubmed
    ..We also establish a number of new results concerning the structure of RAFs in these systems. ..
  19. Meinecke L. Multiscale Modeling of Diffusion in a Crowded Environment. Bull Math Biol. 2017;79:2672-2695 pubmed publisher
    ..When correcting the reaction rates for the altered diffusion we can show that molecular crowding either enhances or inhibits chemical reactions depending on local fluctuations of the obstacle density. ..
  20. Shafaghati L, Razaghi Moghadam Z, Mohammadnejad J. A Systems Biology Approach to Understanding Alcoholic Liver Disease Molecular Mechanism: The Development of Static and Dynamic Models. Bull Math Biol. 2017;79:2450-2473 pubmed publisher
    ..The static network of ALD and its dynamic model are the first models provided for ALD which offer potentially valuable information for researchers in this field. ..
  21. Fan G, Bressloff P. Population Model of Quorum Sensing with Multiple Parallel Pathways. Bull Math Biol. 2017;79:2599-2626 pubmed publisher
    ..In each case, we use contraction analysis to reduce the population model to an effective single-cell model. ..
  22. Sipowicz K, Pietras T. [The case of an adult man with savant syndrome in the course of autism spectrum disorder]. Pol Merkur Lekarski. 2017;43:32-34 pubmed
    ..Savant syndrome may appear in any patient with neuropsychiatric disorders, particularly in those suffering from autism spectrum disorder with comorbid epilepsy. ..
  23. Brugger P. Animal behavior. Chicks with a number sense. Science. 2015;347:477-8 pubmed publisher
  24. Dimitriadis S, Sun Y, Kwok K, Laskaris N, Bezerianos A. A tensorial approach to access cognitive workload related to mental arithmetic from EEG functional connectivity estimates. Conf Proc IEEE Eng Med Biol Soc. 2013;2013:2940-3 pubmed publisher
    ..Incorporating this data-driven information within original TSA methodology, we succeeded in predicting the difficulty level from connectivity patterns in an efficient way that can be implemented so as to work in real-time. ..
  25. Walker W. A Lagrangian meshfree method applied to linear and nonlinear elasticity. PLoS ONE. 2017;12:e0186345 pubmed publisher
  26. Ibrahim B. A Mathematical Framework for Kinetochore-Driven Activation Feedback in the Mitotic Checkpoint. Bull Math Biol. 2017;79:1183-1200 pubmed publisher
    ..The presented analysis allows for systems-level understanding of mitotic control, and the minimal new model can function as a basis for developing further quantitative-integrative models of the cell division cycle. ..
  27. Dimitriadis S, Sun Y, Laskaris N, Thakor N, Bezerianos A. Revealing Cross-Frequency Causal Interactions During a Mental Arithmetic Task Through Symbolic Transfer Entropy: A Novel Vector-Quantization Approach. IEEE Trans Neural Syst Rehabil Eng. 2016;24:1017-1028 pubmed
    ..Further statistical analysis revealed an increasing dSTENG strength following the task's difficulty. ..