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Showing 1 to 20 of 1427 for “"Mathematical models"”.
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Mathematical Models of Chemotherapy
<p>Several mathematical models are developed to describe the effects of chemotherapy on both cancerous and normal tissue. Each model is defined by either a single homogeneous equation or a system of heterogeneous equations which describe the states of the normal and/or cancer cells. Periodic terms …
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Mathematical models for interendothelial cleft
… research in this field, two new theoretical models have been developed in this thesis. One is to investigate structural mechanisms in the regulation of microvessel permeability by cAMP. The other is to examine the charge effects of surface glycocalyx on microvessel permeability; To …
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Mathematical Models of Quorum Sensing
Mathematical models of biological phenomena are constructed in order to further the understanding of the known and unknown interactions that result in the behaviors of dynamical systems. We present mathematical models dealing with quorum sensing, which is the biological process of communication in …
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Mathematical models of cognitive processes
… the PhD course was focused on the development of mathematical models of some cognitive processes and their validation by means of data present in literature, with a double aim: i) to achieve a better interpretation and explanation of the great amount of data obtained on these processes from …
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Mathematical models in evolutionary dynamics
We consider two mathematical models in evolutionary dynamics. The first model is an extension of an evolutionary game theory model proposed by Martin Nowak. We consider both a mean field deterministic approach and a weak noise stochastic approach, but the focus is on latter which is an uncommon …
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Mathematical models of daphnia epidemics
… be analyzed with precision both biologically and mathematically. By using mathematical models we can study the underlying biological mechanisms that drive and/or inhibit the spread of disease. This dissertation explores, through a range of models, the many aspects that play a role in Daphnia …
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Mathematical Models of Biochemical Oscillations
… fundamental to the construction of descriptive mathematical models. We review the basic theory of differential equations and stability analysis as it relates to two-variable models exhibiting oscillatory behavior. The importance of the Hopf Bifurcation will be discussed in detail for the central …
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Mathematical Models of Quiescent Solar Prominences
<p>Magnetic fields in the solar atmosphere suspend and insulate dense regions of cool plasma known as prominences. The convection zone may be the mechanism that both generates and expels this magnetic flux through the photosphere in order to make these formations possible. The connection is …
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Mathematical models for polymer-nematic interactions
This dissertation considers a mathematical model that consists of a nematic liquid crystal layer sandwiched between two parallel bounding plates, across which an external field may be applied. Particular attention is paid to the effect of an applied field on the layer as well as the interaction …
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Mathematical Models of Major Arterial Occlusion
… The aim of the present study is to use mathematical modeling to investigate the effects of major arterial occlusion in multiple tissues and vascular geometries. A network representing the vasculature of the rat hindlimb is used to study peripheral arterial disease characterized by …
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Mathematical models of hyphal tip growth
… and has attracted considerable attention from mathematical modellers. In this thesis, we consider mathematical models of fungal tip growth that can be classified as either geometrical or biomechanical. In every model we examine, a 2-D axisymmetric semihemisphere-like curve represents half the …
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Quadratic Differential Systems for Mathematical Models
Made available in DSpace on 2014-12-09T22:17:30Z (GMT). No. of bitstreams: 1 6612355.pdf: 3897204 bytes, checksum: 985a1adb7e02bb5e4c0c5f8ebae2e606 (MD5) Previous issue date: 1966
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Mathematical Models and Extinction in Learning
Made available in DSpace on 2014-12-08T23:01:08Z (GMT). No. of bitstreams: 1 6500837.pdf: 4890281 bytes, checksum: db4b21f5a120735e80a0252db9bafda6 (MD5) Previous issue date: 1964
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Mathematical Models of Biofilm in Various Environments
… of surfaces. In this thesis, we studied several mathematical models of biofilm in the human body and marble environment. Some related background of biofilm growth and some basic existing numerical models were introduced in the first chapter. In the first project, we introduced how biofilm affects …
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Mathematical models for Tuberculosis spread in humans
We studied two models describing transmission dynamics of tuberculosis (TB) and discussed their implications to human health. The first model is analyzed in the presence of treatment of active TB persons and the screened asymptomatic TB infectives. The second model is analyzed by looking at …
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Discrete mathematical models for electrical impedance tomography
… for these devices, one based on resistor network models and another one which uses an integral equation formulation. The novelty of the device and hence of these imaging techniques consists exactly in the distinct use of active and passive electrodes. The 2D images of the conductivity distribution …
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Mathematical models of combustion at high pressure
In this dissertation, we develop new mathematical theories of flame propagation that are valid at elevated, or extreme, pressures. Of particular interest is the regime of burning in which the pressure exceeds the critical pressure of the species undergoing chemical reaction. Fluids and flames are …
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Explicit mathematical models for behavioral science theories
… science theories are often expressed as precise mathematical relationships from which researchers can derive empirically testable consequences. Mathematical modeling takes on additional tasks in the conduct of behavioral science research because behavioral science theories are typically expressed …
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Evolvable Mathematical Models: A New Artificial Intelligence Paradigm
… to generate autonomously artificial agents as mathematical models of behaviour. Agent/environment inputs are mapped to agent outputs via equation trees which are evolved in a manner similar to Symbolic Regression in Genetic Programming. Equations are comprised of only the four basic …
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Mathematical Models, Algorithms, and Statistics of Sequence Alignment
<p>The problem of biological sequence comparison arises naturally in an attempt to explain many biological phenomena. Due to the combinatorial structure and pattern preserving properties of the sequences it attracted not only biologists, but also mathematicians, statisticians and computer …
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