Relevant bibliographies by topics / Mathematical Modelling

Academic literature on the topic 'Mathematical Modelling'

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Published: 4 June 2021
Last updated: 28 July 2024

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Journal articles on the topic "Mathematical Modelling"

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Ketova, K. V., I. G. Rusyak, and D. D. Vavilova. "MATHEMATICAL MODELLING OF WORKFORCE POTENTIAL." European Journal of Natural History, no. 3 2020 (2020): 65–69. http://dx.doi.org/10.17513/ejnh.34088.

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Smith, D. "Mathematical modelling." Teaching Mathematics and its Applications 15, no. 1 (March 1, 1996): 37–41. http://dx.doi.org/10.1093/teamat/15.1.37.

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Campbell, P. "Mathematical modelling." Manufacturing Engineer 77, no. 4 (August 1, 1998): 187–89. http://dx.doi.org/10.1049/me:19980407.

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Ziegel, Eric R. "Mathematical Modelling." Technometrics 32, no. 2 (May 1990): 240. http://dx.doi.org/10.1080/00401706.1990.10484666.

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Ramos, J. I. "Mathematical Modelling." Applied Mathematical Modelling 14, no. 8 (August 1990): 444. http://dx.doi.org/10.1016/0307-904x(90)90102-b.

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Rawson, H. "Mathematical modelling." Journal of Non-Crystalline Solids 73, no. 1-3 (August 1985): 551–63. http://dx.doi.org/10.1016/0022-3093(85)90374-6.

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Rawson, H. "Mathematical modelling." Journal of Non-Crystalline Solids 80, no. 1-3 (March 1986): 92. http://dx.doi.org/10.1016/0022-3093(86)90381-9.

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Cundy, H. Martyn, J. S. Berry, D. N. Burghes, I. D. Huntley, D. J. G. James, and A. O. Moscardini. "Mathematical Modelling Courses." Mathematical Gazette 72, no. 460 (June 1988): 152. http://dx.doi.org/10.2307/3618954.

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Reyniers, Diane, J. S. Berry, D. N. Hughes, I. D. Huntley, D. J. G. James, and A. O. Moscardini. "Mathematical Modelling Courses." Journal of the Operational Research Society 39, no. 12 (December 1988): 1181. http://dx.doi.org/10.2307/2583605.

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SMITH, D. N. "Independent Mathematical Modelling." Teaching Mathematics and its Applications 16, no. 3 (September 1, 1997): 101–6. http://dx.doi.org/10.1093/teamat/16.3.101.

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Dissertations / Theses on the topic "Mathematical Modelling"

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Bergman, Ärlebäck Jonas. "Mathematical modelling in upper secondary mathematics education in Sweden." Doctoral thesis, Linköpings universitet, Tillämpad matematik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-54318.

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The aim of this thesis is to investigate and enhance our understanding of the notions of mathematical models and modelling at the Swedish upper secondary school level. Focus is on how mathematical models and modelling are viewed by the different actors in the school system, and what characterises the collaborative process of a didactician and a group of teachers engaged in designing and developing, implementing and evaluating teaching modules (so called modelling modules) exposing students to mathematical modelling in line with the present mathematics curriculum. The thesis consists of five papers and reports, along with a summary introduction, addressing both theoretical and empirical aspects of mathematical modelling. The thesis uses both qualitative and quantitative methods and draws partly on design-based research methodology and cultural-historical activity theory (CHAT). The results of the thesis are presented using the structure of the three curriculum levels of the intended, potentially implemented, and attained curriculum respectively. The results show that since 1965 and to the present day, gradually more and more explicit emphasis has been put on mathematical models and modelling in the syllabuses at this school level. However, no explicit definitions of these notions are provided but described only implicitly, opening up for a diversity of interpretations. From the collaborative work case study it is concluded that the participating teachers could not express a clear conception of the notions mathematical models or modelling, that the designing process often was restrained by constraints originating from the local school context, and that working with modelling highlights many systemic tensions in the established school practice. In addition, meta-results in form of suggestions of how to resolve different kinds of tensions in order to improve the study design are reported. In a questionnaire study with 381 participating students it is concluded that only one out of four students stated that they had heard about or used mathematical models or modelling in their education before, and the expressed overall attitudes towards working with mathematical modelling as represented in the test items were negative. Students’ modelling proficiency was positively affected by the students’ grade, last taken mathematics course, and if they thought the problems in the tests were easy or interesting. In addition empirical findings indicate that so-called realistic Fermi problems given to students working in groups inherently evoke modelling activities.
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Cinquin, Olivier. "Mathematical modelling of development." Thesis, University College London (University of London), 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.424702.

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Chalmers, Alexander David. "Mathematical Modelling of Atherosclerosis." Thesis, The University of Sydney, 2015. http://hdl.handle.net/2123/14986.

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In atherosclerosis, the arterial lining undergoes a specific sequence of inflammatory responses to an injury to the cells that line the blood vessel and to low density lipoprotein (LDL) particles from the blood stream that penetrate through this injury into the arterial wall. We model the events that take place inside the blood vessel wall that occur immediately after such an injury with a system of partial differential equations that involve the LDL particles, two proinflammatory cytokines, monocyte-derived macrophages and their lipid-filled counterparts, foam cells. The model includes the chemical and physical interactions with the endothelial cells that line the arterial wall. These interactions are formulated as boundary conditions. Through numerical simulations, we show that different LDL concentrations in the blood stream and different immune responses can qualitatively affect the development of a plaque. Numerical bifurcation analysis at the quasi-steady state through AUTO shows that there exists of a fold bifurcation when the flux of LDL into the plaque from the blood is high. An atherosclerotic plaque that develops within the intima, deforms the intima locally as macrophages and foam cells accumulate. We model the structure of the developing plaque by cell pressure and cell sorting models to account for the limited space within the intima. We do this by modelling cell movement in crowded tissue in a discrete space and extend this to a spatial domain where cells also moves due to cell pressure and chemotaxis. We model the mechanics of the physical interactions on the two bounding interfaces, (the lumen-intima boundary and the intima-media boundary) and of the tissue inside the domain and add advective terms to ensure that the mechanics of the cellular species is consistent with the underlying tissue deformation. Using a finite element solver, we produce numerical results in one dimension across the intima and in two dimensions as a cross section of an artery. With appropriate parameter values, this moving boundary problem produces results in agreement with the current theory on compensatory enlargement in atherosclerotic remodelling
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Nurtay, Anel. "Mathematical modelling of pathogen specialisation." Doctoral thesis, Universitat Autònoma de Barcelona, 2019. http://hdl.handle.net/10803/667178.

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L’aparició de nous virus causants de malalties està estretament lligada a l’especialització de subpoblacions virals cap a nous tipus d’amfitrions. La modelització matemàtica proporciona un marc quantitatiu que pot ajudar amb la predicció de processos a llarg termini com pot ser l’especialització. A causa de la naturalesa complexa que presenten les interaccions intra i interespecífiques en els processos evolutius, cal aplicar eines matemàtiques complexes, com ara l’anàlisi de bifurcacions, al estudiar dinàmiques de població. Aquesta tesi desenvolupa una jerarquia de models de població per poder comprendre l’aparició i les dinàmiques d’especialització, i la seva dependència dels paràmetres del sistema. Utilitzant un model per a un virus de tipus salvatge i un virus mutat que competeixen pel mateix amfitrió, es determinen les condicions per a la supervivència únicament de la subpoblació mutant, juntament amb la seva coexistència amb el cep de tipus salvatge. Els diagrames d’estabilitat que representen regions de dinàmiques diferenciades es construeixen en termes de taxa d’infecció, virulència i taxa de mutació; els diagrames s’expliquen en base a les característiques biològiques de les subpoblacions. Per a paràmetres variables, s’observa i es descriu el fenomen d’intersecció i intercanvi d’estabilitat entre diferents solucions sistemàtiques i periòdiques en l’àmbit dels ceps de tipus salvatge i els ceps mutants en competència directa. En el cas de que diversos tipus d’amfitrions estiguin disponibles per a ser disputats per ceps especialitzats i generalistes existeixen regions de biestabilitat, i les probabilitats d’observar cada estat es calculen com funcions de les taxes d’infecció. S’ha trobat un rar atractor caòtic i s’ha analitzat amb l’ús d’exponents de Lyapunov. Això, combinat amb els diagrames d’estabilitat, mostra que la supervivència del cep generalista en un entorn estable és un fet improbable. A més, s’estudia el cas dels diversos ceps N>>1 que competeixen per diferents tipus de cèl·lules amfitriones. En aquest cas s’ha descobert una dependència no monotònica, contraria al que es preveia, del temps d’especialització sobre la mida inicial i la taxa de mutació, com a conseqüència de la realització d’un anàlisi de regressió sobre dades obtingudes numèricament. En general, aquest treball fa contribucions àmplies a la modelització matemàtica i anàlisi de la dinàmica dels patogens i els processos evolutius.
La aparición de nuevos virus causantes de enfermedades está estrechamente ligada a la especialización de las subpoblaciones virales hacia nuevos tipos de anfitriones. La modelizaci ón matemática proporciona un marco cuantitativo que puede ayudar a la predicción de procesos a largo plazo como la especialización. Debido a la naturaleza compleja que presentan las interacciones intra e interespecíficas en los procesos evolutivos, aplicar herramientas matemáticas complejas, tales como el análisis de bifurcación, al estudiar dinámicas de población. Esta tesis desarrolla una jerarquía de modelos de población para poder comprender la aparición y las dinámicas de especialización, y su dependencia de los parámetros del sistema. Utilizando un modelo para un virus de tipo salvaje y un virus mutado que compiten por el mismo anfitrión, se determinan las condiciones para la supervivencia únicamente de la subpoblación mutante, junto con su coexistencia con la cepa de tipo salvaje. Los diagramas de estabilidad que representan regiones de dinámicas diferenciadas se construyen en términos de tasa de infección, virulencia y tasa de mutación; los diagramas se explican en base a las características biológicas de las subpoblaciones. Para parámetros variables, se observa y se describe el fenómeno de intersección e intercambio de estabilidad entre diferentes soluciones sistemáticas y periódicas en el ámbito de las cepas de tipo salvaje y las cepas mutantes en competencia directa. En el caso de que varios tipos de anfitriones estén disponibles para ser disputados por cepas especializadas y generalistas existen regiones de biestabilidad, y las probabilidades de observar cada estado se calculan como funciones de las tasas de infección. Se ha encontrado un raro atractor caótico y se ha analizado con el uso de exponentes de Lyapunov. Esto, combinado con los diagramas de estabilidad, muestra que la supervivencia de la cepa generalista en un entorno estable es un hecho improbable. Además, se estudia el caso de los varias cepas N>> 1 que compiten por diferentes tipos de células anfitrionas. En este caso se ha descubierto una dependencia no monotónica, contraria a lo que se preveía, del tiempo de especialización sobre el tamaño inicial y la tasa de mutación, como consecuencia de la realización de un análisis de regresión sobre datos obtenidos numéricamente. En general, este trabajo hace contribuciones amplias a la modelización matemática y el análisis de la dinámica de los patógenos y los procesos evolutivos.
The occurrence of new disease-causing viruses is tightly linked to the specialisation of viral sub-populations towards new host types. Mathematical modelling provides a quantitative framework that can aid with the prediction of long-term processes such as specialisation. Due to the complex nature of intra- and interspecific interactions present in evolutionary processes, elaborate mathematical tools such as bifurcation analysis must be employed while studying population dynamics. In this thesis, a hierarchy of population models is developed to understand the onset and dynamics of specialisation and their dependence on the parameters of the system. Using a model for a wild-type and mutant virus that compete for the same host, conditions for the survival of only the mutant subpopulation, along with its coexistence with the wild-type strain, are determined. Stability diagrams that depict regions of distinct dynamics are constructed in terms of infection rates, virulence and the mutation rate; the diagrams are explained in terms of the biological characteristics of the sub-populations. For varying parameters, the phenomenon of intersection and exchange of stability between different periodic solutions of the system is observed and described in the scope of the competing wild-type and mutant strains. In the case of several types of hosts being available for competing specialist and generalist strains, regions of bistability exist, and the probabilities of observing each state are calculated as functions of the infection rates. A strange chaotic attractor is discovered and analysed with the use of Lyapunov exponents. This, combined with the stability diagrams, shows that the survival of the generalist in a stable environment is an unlikely event. Furthermore, the case of N=1 different strains competing for different types of host cells is studied. For this case, a counterintuitive and non-monotonic dependence of the specialisation time on the burst size and mutation rate is discovered as a result of carrying out a regression analysis on numerically obtained data. Overall, this work makes broad contributions to mathematical modelling and analysis of pathogen dynamics and evolutionary processes.
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Tacon, Geoffrey Reginald Russell. "Mathematical modelling of liver kinetics /." [St. Lucia, Qld.], 2005. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe19399.pdf.

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Du, Peng 1985. "Mathematical modelling of gastric electrophysiology." Thesis, University of Auckland, 2011. http://hdl.handle.net/2292/10234.

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This thesis investigates the electrophysiology of the stomach, using a joint experimental and mathematical modelling approach. Normal gastrointestinal (GI) motility is coordinated by multiple cooperating mechanisms, both intrinsic and extrinsic to the GI tract. A fundamental component of the GI motility is an omnipresent electrical activity termed slow waves, which are initiated and propagated by the interstitial cells of Cajal (ICCs) and smooth muscle cells (SMCs). The role of ICC and/or SMC pathophysiology in GI motility disorders is an area of on-going research. This thesis begins with an overview of the functions of the GI tract and slow wave electrophysiology. High-resolution electrode arrays were designed and manufactured using the printed-circuit-board (PCB) technology. The performance of the PCB electrodes were validated against the performance of epoxy-embedded electrodes in porcine subjects, in terms of amplitudes (0.17 vs 0.52 mV), velocity (15.9 vs 13.8 mms-1), and signal-to-noise ratio (9.7 vs 18.7 dB). The PCB electrodes were then used to record gastric slow waves from a number of human subjects. Automatic slow wave activation times identification and velocity calculation techniques were applied to analyse the recorded slow wave data. Analysis of the human data revealed that the gastric slow wave activity originates from a pacemaker region (average amplitude: 0.57 mV ; average velocity: 8.0 mms-1) in the stomach, and continues into the corpus (average amplitude: 0.25 mV ; average velocity: 3.0 mms-1), and then the antrum (average amplitude: 0.52 mV ; average velocity: 5.7 mms-1). The focus of this thesis then shifts to mathematical models of slow wave activity. An existing SMC model was adapted to investigate the effects of gastric electrical stimulation (GES) protocols, in conjunction with experimental recordings in rat antral SMCs. The simulations using the adapted SMC model showed that effective GES protocols could be adapted to include frequency-trains (40 Hz) of short pulse- width (3-6 ms); In a separate study, an existing ICC model was adapted to include a voltage-sensitive inositol 1,4,5-trisphosphate receptor model, which modelled entrainment of slow waves in a network of ICCs; Two coupling mechanisms were also proposed to link the slow waves in the ICC and SMC models. A continuum approach was used to model slow waves in tissue and whole-organ models. The monodomain equation was used to simulate slow wave propagation in a grid of SMCs coupled to a cell automata model, which was used to quantify the entrainment of normal slow wave activity and entrainment of slow waves by a 3.5 cpm GES protocol. The simulation results demonstrated the highest 'zone of entrainment' that could be achieved by the GES protocol was 78% of the modelled tissue area; Next, the bidomain equations were applied to simulate entrainment of slow waves in a wild-type (normal) and a degraded (serotonin receptor knockout) ICC networks obtained from mouse tissue. The ICC network models demonstrated that slow wave propagation was influenced by ICC loss. In addition, compared to the degraded ICC network, the normal ICC network model demonstrated a higher peak current density (1.94 vs 1.45 μAmm-2) as well as [Ca2+]i density (0.67 vs 0.41 mM mm-2), which could help to explain functional impairments that arise when ICC populations are depleted; The human recordings were used to create slow wave activation in a whole organ stomach model. The whole organ model was used as a platform to simulate gastric slow wave propagation, as well as to incorporate physiological characteristics that could not directly measured using the HR technique, such as the variation in the resting membrane potentials of gastric tissues. The final set of modelling studies employed the forward modelling technique to simulate the resultant body surface potential, i.e., electrogastrogram (EGG) of gastric slow waves. A virtual EGG analysis showed that the frequency of EGG matched the underlying slow waves (3 cpm) and the peak potential (-0.63 mV ) in the EGG signal could be correlated to the timing of the full antral activation. This thesis concludes with a discussion on the results and potential future research directions in this field.
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Memon, Sohail Ahmed. "Mathematical modelling of complex dynamics." Thesis, University of Central Lancashire, 2017. http://clok.uclan.ac.uk/20497/.

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Soft materials have a wide range of applications, which include the production of masks for nano–lithography, the separation of membranes with nano–pores, and the preparation of nano–size structures for electronic devices. Self–organization in soft matter is a primary mechanism for the formation of structure. Block copolymers are long chain molecules composed of several different polymer blocks covalently bonded into a single macromolecule, which belong to an important class of soft materials which can self–assemble into different nano–structures due to their natural ability to microphase separate. Experimental and theoretical studies of block copolymers are quite challenging and, without computer simulations, it is difficult and problematic to analyse modern experiments. The Cell Dynamics Simulation (CDS) technique is a fast and accurate computational technique, which has been used to investigate block copolymers. The stability has been analysed by making use of different discrete Laplacian operators using well–chosen time steps in CDS. This analysis offers stability conditions for phase–field, based on the Cahn–Hilliard Cook (CHC) equations of which CDS is the finite difference approximation. To overcome grid related artefacts (discretization errors) in the computational grid, the study has been done for employing an isotropic Laplacian operator in the CDS framework. Several 2D and 3D discrete Laplacians have been quantitatively compared for their isotropy. The novel 2D 9–point BV(D2Q9) isotropic stencil operators have been derived from the B.A.C. van Vlimmeren method and their isotropy measure has been determined optimally better than other exiting 2D 9–point discrete Laplacian operators. Overall, the stencils in 9–point family Laplacians in 2D and the 19–point stencil operators in 3D have been found to be optimal in terms of isotropy and time step stability. Considerable implementation of Laplacians with good isotropy has played an important role in achieving a proper structure factor in modelling methods of block copolymers. The novel models have been developed by implementing CDS via more stable implicit methods, including backward Euler, Crank–Nicolson (CN) and Alternating Direction Implicit (ADI) methods. The CN scheme were implemented for both one order and two order parameter systems in CDS and successful results were obtained compared to forward Euler method. Due to the implementation of implicit methods, the CDS has achieved second–order accuracy both in time and space and it has become stronger, robust and more stable technique for simulation of the phase–separation phenomena in soft materials.
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Abdullah, Zia. "Mathematical modelling of casting processes." Thesis, University of Ottawa (Canada), 1988. http://hdl.handle.net/10393/21048.

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MacDonald, Grant. "Mathematical modelling of semiconductor photocatalysis." Thesis, University of Strathclyde, 2016. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=27029.

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Semiconductor photocatalysis can be extremely effective in the complete mineralisation of hundreds of organic materials and has been utilised in various different commercial systems, for example, self-cleaning glass, purification of water, the purification of air, sterilisation/disinfection and detecting oxygen in food packaging. The aim of this thesis is to further the understanding of semiconductor photocatalysis using mathematical models. One of the main issues considered is the applicability of assuming that reaction intermediates remain in a steady-state throughout the majority of any reactions taking place. We show that this assumption is not always valid. First, we consider an intelligent ink that is used to test the effectiveness of self-cleaning glass. The system is modelled by a diffusion equation for the transport of dye molecules in the film coupled to an ordinary differential equation describing the photocatalytic reaction taking place at the glass surface. A finite difference method is introduced to solve the equations arising from the model. We are able to show that the proposed model can replicate experimental results well. The model also offers an explanation as to why the initial reaction rate is dependant on film thickness for several different reaction regimes considered. Second, we consider models motivated by systems where photocatalytic reactions take place throughout the domain as opposed to exclusively at domain boundaries. We present a numerical method to solve such systems, and based on informal experimental results, explain the reasons behind the initial reaction rate being dependent on the size of the domain. Third, we consider four previously published models based on the removal of organic pollutants using semiconductor photocatalysis. We introduce more general mathematical models and demonstrate that by doing so there are a wider rangeof systems that the models can be applied to. One model involves an expanding domain and we present a moving mesh finite difference method that is used to solve such systems. Fourth, we propose a moving mesh finite element method for coupled bulk-surface problems in two-dimensional time-dependant domains. These problems are motivated by a system where semiconductor photocatalysis is used to destroy organic dirt across a domain which is increasing in size. Finally, we show how to determine the colour of a substance based on its absorbance spectrum. By comparing predictions made from experimental data to published photographs we are able to demonstrate that we can accurately predict the colour of a substance.
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Kura, K. "Mathematical modelling of dominance hierarchies." Thesis, City, University of London, 2016. http://openaccess.city.ac.uk/15838/.

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In this research we analyse the formation of dominance hierarchies from different viewpoints and various models of dominance hierarchy formation have been proposed, one important class being winner--loser models and another being Swiss tournaments. We start by understanding the structure of hierarchies emerging under the influence of winner and loser effects and two situations are considered: (i) when each individual has the same, fixed (unchanged) aggression threshold, meaning that all of them use the same rule when deciding whether to fight or retreat, and (ii) when individuals select an aggression threshold comparing their own and their opponent's abilities, and fighting if and only if the situation is sufficiently favourable to themselves. For both situations, we investigate if we can achieve hierarchy linearity, and if so, when it is established. We are particularly interested in the question of how many fights are necessary to establish dominance hierarchy. To examine these questions we use existing and new statistical measures. Besides understanding the structure and the temporal dynamic of the hierarchy formation, we also analyse the effect of the information that each individual has about the strength of their opponents on linearity. For the second situation, where individuals choose different aggression threshold, we find the appropriate level of aggression and examine the conditions when an individual needs to be more aggressive and when not. Lastly, we develop a model which allows only the individuals with the same number of wins and losses to fight each other. We show that linear hierarchies are always established. A formula for the total number of fights is derived, and the effect of group size on the level of aggressiveness is analysed.
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Books on the topic "Mathematical Modelling"

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Heiliö, Matti, Timo Lähivaara, Erkki Laitinen, Timo Mantere, Jorma Merikoski, Seppo Pohjolainen, Kimmo Raivio, et al. Mathematical Modelling. Edited by Seppo Pohjolainen. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27836-0.

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Moghadas, Seyed M., and Majid Jaberi-Douraki. Mathematical Modelling. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2018. http://dx.doi.org/10.1002/9781119483946.

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Caldwell, J., and Y. M. Ram. Mathematical Modelling. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-017-2201-8.

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Caldwell, Jim, and Douglas K. S. Ng, eds. Mathematical Modelling. Dordrecht: Kluwer Academic Publishers, 2004. http://dx.doi.org/10.1007/1-4020-1993-9.

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Mathematical modelling. New York: Wiley, 1988.

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N, Burghes David, ed. Mathematical modelling. London: Prentice Hall, 1996.

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Brennan, Christopher R. Mathematical modelling. Hauppauge, N.Y: Nova Science Publishers, 2011.

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N, Burghes D., ed. Mathematical modelling. London: Prentice Hall, 1996.

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Ken, Houston, ed. Mathematical modelling. London: Edward Arnold, 1995.

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I͡Aglom, I. M. Mathematical structures and mathematical modelling. New York: Gordon and Breach Science, 1986.

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Book chapters on the topic "Mathematical Modelling"

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Wess, Raphael, Heiner Klock, Hans-Stefan Siller, and Gilbert Greefrath. "Mathematical Modelling." In International Perspectives on the Teaching and Learning of Mathematical Modelling, 3–20. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78071-5_1.

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AbstractThe integration of applications and mathematical modelling into mathematics education plays an important role in many national curricula (Kaiser, 2020; Niss et al., 2007), and thus an increasing role in teacher training.
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Serovajsky, Simon. "Mathematical problems of mathematical models." In Mathematical Modelling, 365–80. Boca Raton: Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003035602-19.

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Patel, Ravi, Dipankar Deb, Rajeeb Dey, and Valentina E. Balas. "Mathematical Modelling." In Intelligent Systems Reference Library, 11–28. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-18068-3_2.

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Jones, Jenny M., Amanda R. Lea-Langton, Lin Ma, Mohamed Pourkashanian, and Alan Williams. "Mathematical Modelling." In Pollutants Generated by the Combustion of Solid Biomass Fuels, 71–97. London: Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6437-1_6.

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Fowler, Andrew. "Mathematical Modelling." In Interdisciplinary Applied Mathematics, 1–63. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-721-1_1.

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Berry, John, and Patrick Wainwright. "Mathematical Modelling." In Foundation Mathematics for Engineers, 473–82. London: Macmillan Education UK, 1991. http://dx.doi.org/10.1007/978-1-349-11717-8_13.

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Roy, Kalyan Kumar. "Mathematical Modelling." In Natural Electromagnetic Fields in Pure and Applied Geophysics, 453–511. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38097-7_9.

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Elliott, Novak S. J. "Mathematical Modelling." In Syringomyelia, 103–16. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-13706-8_7.

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Awange, Joseph. "Mathematical Modelling." In GNSS Environmental Sensing, 43–58. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58418-8_4.

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Hofmann, Bernd. "Mathematical Modelling." In Regularization for Applied Inverse and III-Posed Problems, 12–60. Wiesbaden: Vieweg+Teubner Verlag, 1986. http://dx.doi.org/10.1007/978-3-322-93034-7_2.

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Conference papers on the topic "Mathematical Modelling"

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Grootenboer, Peter. "Mathematics education: Building mathematical identities." In 28TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0000581.

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Greefrath, Gilbert, and Susana Carreira. "Mathematical Applications and Modelling in Mathematics Education." In The 14th International Congress on Mathematical Education. WORLD SCIENTIFIC, 2024. http://dx.doi.org/10.1142/9789811287152_0046.

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Darmawijoyo, Apit Fathurohman, Maryam Akila, and Somakim. "Learning mathematical modelling: A portrait of secondary school student’s mathematical perception in learning mathematical modelling." In THE 2ND NATIONAL CONFERENCE ON MATHEMATICS EDUCATION (NACOME) 2021: Mathematical Proof as a Tool for Learning Mathematics. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0150968.

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Saleem, Zainab, and Syed Aseem Ul Islam. "Mathematical Modelling of RocketMotorTwo." In 20th AIAA International Space Planes and Hypersonic Systems and Technologies Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2015. http://dx.doi.org/10.2514/6.2015-3684.

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Magnucka-Blandzi, E. "Mathematical and numerical modelling." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4913002.

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McGuinness, Mark J., Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Mathematical Modelling of Extremes." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241364.

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Rogovchenko, Yuriy, and Svitlana Rogovchenko. "Promoting engineering students’ learning with mathematical modelling projects." In SEFI 50th Annual conference of The European Society for Engineering Education. Barcelona: Universitat Politècnica de Catalunya, 2022. http://dx.doi.org/10.5821/conference-9788412322262.1451.

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Mathematics constitutes a key component in engineering education. Engineering students are traditionally offered a number of mathematics courses which provide the knowledge needed at the workplace. Unfortunately, many students perceive mathematics as a discipline that teaches mostly procedures not relevant to their future careers and often view it as one of the main obstacles on their way to an engineering degree. In this paper, we discuss how introducing university students in a standard Differential Equations course to mathematical modelling (MM), a powerful strategy for solving real-life problems, contributes to the development of their mathematical competencies, motivates their interest to mathematics, promotes the use of advanced mathematical thinking, methods of applied mathematics, and digital computational tools.
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Alksnis, Reinis, and Janis Valeinis. "BARTLETT CORRECTIONS FOR QUANTILE INFERENCE WITH EMPIRICAL LIKELIHOOD." In Mathematical Modelling and Analysis. University of Latvia, 2023. http://dx.doi.org/10.22364/jzym4660.01.

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Uremović, Boris, and Ivica Završki. "Parametric modelling using mathematical functions." In 8th Symposium on Doctoral Studies in Civil Engineering. University of Zagreb Faculty of Civil Engineering, 2022. http://dx.doi.org/10.5592/co/phdsym.2022.22.

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This paper has a goal to show basic terms regarding parametric modelling, regarding the fact that it has become an unavoidable tool for designers in architecture and civil engineering as well as in other fields of engineering. Basic tools from one of the most widespread modelling application Rhinoceros 3D and its parametric modelling addon Grasshopper will be shown, and also will be shown a development of a conceptual model and the making of variant solutions based on parameter change. References and guidelines for future research of parametric modelling will also be given.
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Vargas, C., L. Esteva, and G. Cruz-Pacheco. "Mathematical modelling of arbovirus diseases." In 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE 2010) (Formerly known as ICEEE). IEEE, 2010. http://dx.doi.org/10.1109/iceee.2010.5608601.

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Reports on the topic "Mathematical Modelling"

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Sternberg, Natalia. Mathematical Modelling in Plasma Physics. Fort Belvoir, VA: Defense Technical Information Center, September 1994. http://dx.doi.org/10.21236/ada294972.

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Miller, Willard, Sell Jr., Weinberger George, and Hans. Scientific Computation and Mathematical Modelling. Fort Belvoir, VA: Defense Technical Information Center, February 1986. http://dx.doi.org/10.21236/ada173178.

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Feustel, H. Mathematical modelling of infiltration and ventilation. Office of Scientific and Technical Information (OSTI), November 1989. http://dx.doi.org/10.2172/7154245.

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Lock, X. Ge, and N. Prywes. An Intelligent Mathematical Modelling System - Mathmodel. Fort Belvoir, VA: Defense Technical Information Center, March 1989. http://dx.doi.org/10.21236/ada207807.

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Szekely, J. The mathematical modelling of arc welding operation. Office of Scientific and Technical Information (OSTI), January 1990. http://dx.doi.org/10.2172/6821760.

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Sinan, Muhammad, Hijaz Ahmad, Zubair Ahmad, Jamel Baili, Saqib Murtaza, M. A. Aiyashi, and Thongchai Botmart. Fractional Mathematical Modelling of Malaria Disease with Treatment & Insecticides. Peeref, October 2022. http://dx.doi.org/10.54985/peeref.2210p3573404.

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Destefan, D. E. Mathematical modelling of part voltage and weld current in resistance welders. Office of Scientific and Technical Information (OSTI), September 1990. http://dx.doi.org/10.2172/6376958.

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ALMODARESI, S. A., and Ali BOLOOR. A mathematical modelling for spatio temporal substitution base on Ergodic theorem. Cogeo@oeaw-giscience, September 2011. http://dx.doi.org/10.5242/iamg.2011.0026.

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Saptsin, Vladimir, and Володимир Миколайович Соловйов. Relativistic quantum econophysics – new paradigms in complex systems modelling. [б.в.], July 2009. http://dx.doi.org/10.31812/0564/1134.

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This work deals with the new, relativistic direction in quantum econophysics, within the bounds of which a change of the classical paradigms in mathematical modelling of socio-economic system is offered. Classical physics proceeds from the hypothesis that immediate values of all the physical quantities, characterizing system’s state, exist and can be accurately measured in principle. Non-relativistic quantum mechanics does not reject the existence of the immediate values of the classical physical quantities, nevertheless not each of them can be simultaneously measured (the uncertainty principle). Relativistic quantum mechanics rejects the existence of the immediate values of any physical quantity in principle, and consequently the notion of the system state, including the notion of the wave function, which becomes rigorously nondefinable. The task of this work consists in econophysical analysis of the conceptual fundamentals and mathematical apparatus of the classical physics, relativity theory, non-relativistic and relativistic quantum mechanics, subject to the historical, psychological and philosophical aspects and modern state of the socio-economic modeling problem. We have shown that actually and, virtually, a long time ago, new paradigms of modeling were accepted in the quantum theory, within the bounds of which the notion of the physical quantity operator becomes the primary fundamental conception(operator is a mathematical image of the procedure, the action), description of the system dynamics becomes discrete and approximate in its essence, prediction of the future, even in the rough, is actually impossible when setting aside the aftereffect i.e. the memory. In consideration of the analysis conducted in the work we suggest new paradigms of the economical-mathematical modeling.
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Ashley, K., S. Pons, and M. Fleischmann. Mathematical Modelling of Transport through Conducting Polymer Films. 1. The Poly(paraphenylene) System. Fort Belvoir, VA: Defense Technical Information Center, July 1988. http://dx.doi.org/10.21236/ada200842.

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