Comparison of single-stage and staged progression models for HIV/AIDS transmission.
Displaying 201 – 220 of 816
Comparison of six models of antiangiogenic therapy
Andrzej Świerniak (2009)
Applicationes Mathematicae
Six models of antiangiogenic therapy are compared and analyzed from control-theoretic point of view. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network, and are based on the idea proposed by Hahnfeldt et al. Moreover, we analyse optimal control problems resulting from their use in treatment protocol design.
Comparison of time stepping schemes on the cable equation.
Li, Chuan, Alexiades, Vasilios (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Compartmental models of immunological tolerance
Petr Klein, Jaroslav Doležal, Tomáš Hraba (1980)
Kybernetika
Complementary analysis of the initial value problem for a system of o.d.e. modelling the immune system after vaccinations
Urszula Foryś, Norbert Żołek (2000)
Applicationes Mathematicae
Complementary analysis of a model of the human immune system after a series of vaccinations, proposed in [7] and studied in [6], is presented. It is shown that all coordinates of every solution have at most two extremal values. The theoretical results are compared with experimental data.
Complex Fiber Visualization.
Tomán, Henrietta, Tornai, Róbert, Zichar, Marianna (2007)
Annales Mathematicae et Informaticae
Computation of the topological entropy in chaotic biophysical bursting models for excitable cells.
Duarte, Jorge, Silva, Luís, Sousa Ramos, J. (2006)
Discrete Dynamics in Nature and Society
Computational issues in Electrical Impedence Tomography
Michael Pidcock (1990)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Computational modeling of tumor response to vascular-targeting therapies. I: Validation.
Gevertz, Jana L. (2011)
Computational & Mathematical Methods in Medicine
Computer Simulation of Protein-Protein Association in Photosynthesis
I.B. Kovalenko, A.M. Abaturova, A.N. Diakonova, O.S. Knyazeva, D.M. Ustinin, S.S. Khruschev, G.Yu. Riznichenko, A.B. Rubin (2011)
Mathematical Modelling of Natural Phenomena
The paper is devoted to the method of computer simulation of protein interactions taking part in photosynthetic electron transport reactions. Using this method we have studied kinetic characteristics of protein-protein complex formation for four pairs of proteins involved in photosynthesis at a variety of ionic strength values. Computer simulations describe non-monotonic dependences of complex formation rates on the ionic strength as the result of...
Computing linking numbers of a filtration.
Edelsbrunner, Herbert, Zomorodian, Afra (2003)
Homology, Homotopy and Applications
Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit
Benoît Perthame, Stephane Génieys (2010)
Mathematical Modelling of Natural Phenomena
The nonlocal Fisher equation has been proposed as a simple model exhibiting Turing instability and the interpretation refers to adaptive evolution. By analogy with other formalisms used in adaptive dynamics, it is expected that concentration phenomena (like convergence to a sum of Dirac masses) will happen in the limit of small mutations. In the present work we study this asymptotics by using a change of variables that leads to a constrained Hamilton-Jacobi equation. We prove the convergence analytically...
Confocal Ellipsoidal Boundaries in EEG Modeling
F. Kariotou, G. Kamvyssas (2005)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Conformational changes in the connector protein complex of the bacteriophage DNA packaging motor.
Tolley, Arron C., Stonehouse, Nicola J. (2008)
Computational & Mathematical Methods in Medicine
Control of the flux substrate entering an enzymatic membrane.
Iftode, Vasile (2002)
Balkan Journal of Geometry and its Applications (BJGA)
Correlation of mechanical factors and gallbladder pain.
Li, W.G., Luo, X.Y., Hill, N.A., Smythe, A., Chin, S.B., Johnson, A.G., Bird, N. (2008)
Computational & Mathematical Methods in Medicine
Could changes in national tuberculosis vaccination policies be ill-informed ?
D.J. Gerberry, F.A. Milner (2012)
Mathematical Modelling of Natural Phenomena
National policies regarding the BCG vaccine for tuberculosis vary greatly throughout the international community and several countries are currently considering discontinuing universal vaccination. Detractors of BCG point to its uncertain effectiveness and its interference with the detection and treatment of latent tuberculosis infection (LTBI). In order to quantify the trade-off between vaccination and treatment of LTBI, a mathematical model was designed and calibrated to data from Brazil, Ghana,...
Could condom stop the AIDS epidemic?
Moghadas, Seyed M., Gumel, Abba B., McLeod, Robert, Gordon, Richard (2003)
Journal of Theoretical Medicine
Counting number of cells and cell segmentation using advection-diffusion equations
Peter Frolkovič, Karol Mikula, Nadine Peyriéras, Alex Sarti (2007)
Kybernetika
We develop a method for counting number of cells and extraction of approximate cell centers in 2D and 3D images of early stages of the zebra-fish embryogenesis. The approximate cell centers give us the starting points for the subjective surface based cell segmentation. We move in the inner normal direction all level sets of nuclei and membranes images by a constant speed with slight regularization of this flow by the (mean) curvature. Such multi- scale evolutionary process is represented by a geometrical...
Coupling of transport and diffusion models in linear transport theory
Guillaume Bal, Yvon Maday (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
This paper is concerned with the coupling of two models for the propagation of particles in scattering media. The first model is a linear transport equation of Boltzmann type posed in the phase space (position and velocity). It accurately describes the physics but is very expensive to solve. The second model is a diffusion equation posed in the physical space. It is only valid in areas of high scattering, weak absorption, and smooth physical coefficients, but its numerical solution is much cheaper...