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Dissertations / Theses on the topic 'Biological mathematic'

Author: Grafiati

Published: 9 March 2023

Last updated: 31 July 2025

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1

AFFILI, ELISA. "EVOLUTION EQUATIONS WITH APPLICATIONS TO POPULATION DYNAMICS." Doctoral thesis, Università degli Studi di Milano, 2021. http://hdl.handle.net/2434/820854.

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The main topic of this thesis is the analysis of evolution equations reflecting issues in ecology and population dynamics. In mathematical modelling, the impact of environmental elements and the interaction between species is read into the role of heterogeneity in equations and interactions in coupled systems. In this direction, we investigate three separate problems, each corresponding to a chapter of this thesis. The first problem addresses the evolution of a single population living in a periodic medium with a fast diffusion line; this corresponds to the study of a reaction-diffusion system

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2

El-Hachem, Maud. "Mathematical models of biological invasion." Thesis, Queensland University of Technology, 2022. https://eprints.qut.edu.au/232864/1/Maud_El-Hachem_Thesis.pdf.

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This thesis studies mathematical models of a population of cells invading the surrounding environment or another living population. A classical single-species model is reformulated using a moving boundary to track the position of the moving front of the invading population. The moving boundary is also used to separate two populations. Other models studied are coupled partial differential equations to describe the interaction of a population with another one. Different types of interaction are represented: the degradation of healthy skin by cancer and the growth of bone tissue on substrate.

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3

Hodgkinson, Arran. "Mathematical Methods for Modelling Biological Heterogeneity." Thesis, Montpellier, 2019. http://www.theses.fr/2019MONTS119.

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Les processus biologiques sont des phénomènes complexes, multi-échelles, présentant une hétérogénéité importante à travers l’espace, la structure et la fonction. De plus, ils impliquent des événements fortement corrélés et présentent des boucles de rétroaction à travers les échelles. Dans cette thèse, nous utilisons des représentations spatio-structuro-temporelles en grande dimension pour étudier l'hétérogénéité biologique à travers l'espace, la fonction biologique et le temps, et appliquons cette méthode à divers problèmes importants en biologie et en clinique.Nous commençons par introduire u

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4

Ohlsson, Henrik. "Mathematical Analysis of a Biological Clock Model." Thesis, Linköping University, Department of Electrical Engineering, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-6750.

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<p>Have you thought of why you get tired or why you get hungry? Something in your body keeps track of time. It is almost like you have a clock that tells you all those things.</p><p>And indeed, in the suparachiasmatic region of our hypothalamus reside cells which each act like an oscillator, and together form a coherent circadian rhythm to help our body keep track of time. In fact, such circadian clocks are not limited to mammals but can be found in many organisms including single-cell, reptiles and birds. The study of such rhythms constitutes a field of biology, chronobiology, and forms the b

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5

Magi, Ross. "Dynamic behavior of biological membranes." Thesis, The University of Utah, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=3680576.

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<p> Biological membranes are important structural units in the cell. Composed of a lipid bilayer with embedded proteins, most exploration of membranes has focused on the proteins. While proteins play a vital role in membrane function, the lipids themselves can behave in dynamic ways which affect membrane structure and function. Furthermore, the dynamic behavior of the lipids can affect and be affected by membrane geometry. A novel fluid membrane model is developed in which two different types of lipids flow in a deforming membrane, modelled as a two-dimensional Riemannian manifold that resists

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6

Basse, Britta. "Case studies in mathematical modelling for biological conservation." Thesis, University of Canterbury. Mathematics & Statistics, 1999. http://hdl.handle.net/10092/4804.

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The use of mathematical modelling as a tool for investigating selected topics in conservation biology is the focus of this thesis. A continuous system of partial and ordinary differential equations model the age structured population dynamics of a cohort of endemic, threatened New Zealand North Island brown kiwi, Apteryx mantelli. Critical predation and recruitment rates of immature birds are estimated. Stoats, Mustela erminea, are the main predator of immature kiwi. A refinement to the model allows the calculation of acceptable stoat densities. In order to reduce stoats to this critical densi

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7

Grau, Ribes Alexis. "Mathematical models of transport phenomena in biological tissues." Doctoral thesis, Universite Libre de Bruxelles, 2020. https://dipot.ulb.ac.be/dspace/bitstream/2013/303032/4/contents.pdf.

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Cette thèse est consacrée à l’élaboration et l’étude théorique de modèles de transport décrivant les dynamiques cellulaires et la communication intercellulaire dans les tissus épithéliaux. Nous nous intéressons d’abord à l’influence du transport de microARNs (miRNAs) sur la dynamique spatiotemporelle de réseaux de régulation génétique. Ces courtes séquences d’ARN régulent la synthèse des protéines en bloquant l’activité des ARN messagers et leur sécrétion via des vesicules extracellulaires en font des agents de communication intercellulaire. Différents modèles faisant intervenir des miRNAs ext

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8

Chindelevitch, Leonid Alexandrovich. "Extracting information from biological networks." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/64607.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 175-194).<br>Systems biology, the study of biological systems in a holistic manner, has been catalyzed by a dramatic improvement in experimental techniques, coupled with a constantly increasing availability of biological data. The representation and analysis of this heterogeneous data is facilitated by the powerful abstraction of biological networks. This thesis examines several types of these networks and looks in detail at the

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9

Altschul, Stephen Frank. "Aspects of biological sequence comparison." Thesis, Massachusetts Institute of Technology, 1987. http://hdl.handle.net/1721.1/102708.

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Thesis (Ph. D)--Massachusetts Institute of Technology, Dept. of Mathematics, 1987.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Bibliography: leaves 165-168.<br>by Stephen Frank Altschul.<br>Ph.D

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10

Orme, Belinda Abigail Amanda. "Biological mixing and chaos." Thesis, University of Birmingham, 2002. http://etheses.bham.ac.uk//id/eprint/7637/.

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We consider a problem from the field of biological fluid mechanics which considers the flow associated with the motion of a flagellum on a sessile micro-organism. Motivation is taken from the movement of fluid around a species of choanoflagellate, \(Salpingoeca\) \(Amphoridium\). Choanoflagellates are a class of organism in the phylum Protozoa. Because the length scales and velocities are very low, the flow is one dominated by viscous forces and the environment is characterised by a low Reynolds number. The flow caused by the flagellum is initially modelled via a point force. These microorgani

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11

O'Keeffe, Stephen George. "The mechanics of growth and residual stress in biological cylinders." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:493473f6-b952-4ce3-a2e5-1a79e97afb7f.

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Biological tissue differs from other materials in many ways. Perhaps the most crucial difference is its ability to grow. Growth processes may give rise to stresses that exist in a body in the absence of applied loads and these are known as residual stresses. Residual stress is present in many biological systems and can have important consequences on the mechanical response of a body. Mathematical models of biological structures must therefore be able to capture accurately the effects of differential growth and residual stress, since greater understanding of the roles of these phenomena may hav

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12

Tucker, George Jay. "Statistical methods to infer biological interactions." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/89874.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2014.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>169<br>Cataloged from student-submitted PDF version of thesis.<br>Includes bibliographical references (pages 153-170).<br>Biological systems are extremely complex, and our ability to experimentally measure interactions in these systems is limited by inherent noise. Technological advances have allowed us to collect unprecedented amounts of raw data, increasi

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13

Iyaniwura, Sarafa Adewale. "Mathematical modelling of partially absorbing boundaries in biological systems." Thesis, University of British Columbia, 2016. http://hdl.handle.net/2429/58907.

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This project presents a mathematical framework for identifying partially permeable biological boundaries, and estimating the rate of absorption of diffusing objects at such a boundary based on limited experimental data. We used partial differential equations (PDEs) to derive probability distribution functions for finding a particle performing Brownian motion in a region. These distribution functions can be fit to data to infer the existence of a boundary. We also used the probability distribution functions together with maximum likelihood estimation to estimate the rate of absorption of object

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14

Lamb, Angharad. "Mathematical Modelling of the Biological Stress Response to Chronium." Thesis, University of Nottingham, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.517846.

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Turner, Stephen. "Mathematical modelling of cancer invasion and biological cell movement." Thesis, Heriot-Watt University, 2002. http://hdl.handle.net/10399/438.

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16

Lewis, Miranda Claire. "Mathematical modelling of the growth of soft biological tissues." Thesis, University of Southampton, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.436982.

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17

Chung, Andy Heung Wing. "Novel mathematical and computational approaches for modelling biological systems." Thesis, University of Sussex, 2016. http://sro.sussex.ac.uk/id/eprint/60405/.

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This work presents the development, analysis and subsequent simulations of mathematical models aimed at providing a basis for modelling atherosclerosis. This cardiovascular disease is characterized by the growth of plaque in artery walls, forming lesions that protrude into the lumen. The rupture of these lesions contributes greatly to the number of cases of stroke and myocardial infarction. These are two of the main causes of death in the UK. Any work to understand the processes by which the disease initiates and progresses has the ultimate aim of limiting the disease through either its preven

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18

Njagarah, Hatson John Boscoh. "Modelling water-borne infections : the impact of hygiene, metapopulation movements and the biological control of cholera." Thesis, Stellenbosch : Stellenbosch University, 2014. http://hdl.handle.net/10019.1/95972.

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Thesis (PhD)--Stellenbosch University, 2014.<br>ENGLISH ABSTRACT: Water-borne infections have been a menace in many countries around the globe, claiming millions of lives. Cholera in particular has spread to all continents and now on its seventh epidemic. Although control measures have been continually developed through sanitation, vaccination and rehydration, the infection still devastates populations whenever there is an outbreak. In this research work, mathematical models for cholera transmission dynamics with focus on the impact of sanitation and hygiene, metapopulation spread, optima

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19

Waniewski, Jacek. "Mathematical modeling of fluid and solute transport in peritoneal dialysis /." Stockholm, 2001. http://diss.kib.ki.se/2001/91-628-4610-8/.

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20

Breitsch, Nathan W. "Techniques for the Study of Biological Coupled Oscillator Systems." Ohio University Honors Tutorial College / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1399892563.

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21

Gill, Mandeep Singh. "Application of software engineering methodologies to the development of mathematical biological models." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:35178f3a-7951-4f1c-aeab-390cdd622b05.

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Mathematical models have been used to capture the behaviour of biological systems, from low-level biochemical reactions to multi-scale whole-organ models. Models are typically based on experimentally-derived data, attempting to reproduce the observed behaviour through mathematical constructs, e.g. using Ordinary Differential Equations (ODEs) for spatially-homogeneous systems. These models are developed and published as mathematical equations, yet are of such complexity that they necessitate computational simulation. This computational model development is often performed in an ad hoc fashion b

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22

Montenegro-Johnson, Thomas D. "Microscopic swimming in biological fluids." Thesis, University of Birmingham, 2013. http://etheses.bham.ac.uk//id/eprint/4220/.

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Fluid interactions are ubiquitous in the natural world; all organisms must find strategies to generate, utilise or resist flow in order to be successful. A process fundamental to all life on earth is reproduction, which in many cases entails the swimming of sperm cells. Cell swimming arises from coupled interactions between physical and biological processes. We will focus on the effects of changing fluid rheology on microscopic swimmers, with a particular application to the study of internal mammalian fertilisation. To reach the egg, mammalian sperm must navigate the convoluted geometry of the

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23

Nelson, Carl John. "Mathematical morphology for quantification in biological & medical image analysis." Thesis, Durham University, 2017. http://etheses.dur.ac.uk/12169/.

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Mathematical morphology is an established field of image processing first introduced as an application of set and lattice theories. Originally used to characterise particle distributions, mathematical morphology has gone on to be a core tool required for such important analysis methods as skeletonisation and the watershed transform. In this thesis, I introduce a selection of new image analysis techniques based on mathematical morphology. Utilising assumptions of shape, I propose a new approach for the enhancement of vessel-like objects in images: the bowler-hat transform. Built upon morphologi

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24

Seier, Edith, and Karl H. Joplin. "Introduction to STATISTICS in a Biological Context." Digital Commons @ East Tennessee State University, 2011. http://amzn.com/1463613377.

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25

Schmidberger, Markus. "Parallel Computing for Biological Data." Diss., lmu, 2009. http://nbn-resolving.de/urn:nbn:de:bvb:19-104921.

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26

Armond, Jonathan William. "Forces in a biological context." Thesis, University of Warwick, 2010. http://wrap.warwick.ac.uk/4480/.

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Theoretical modelling of the microtubule-Dam1-ring force generation mechanism and the pulling of tubes from surface-supported lipid bilayers are presented and discussed. Atomic force microscopy (AFM) force data of tube pulling experiments is analysed and compared with theoretical predictions. Featurescommonto recent computational models are simplified and examined independently where possible. In particular, the steric confinement of the Dam1 ring on a microtubule (MT) by protofilaments (PFs), the powerstroke produced by curling PFs, the depolymerisation of the MT, and the binding attraction b

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27

Caberlin, Martin D. "Stiff ordinary and delay differential equations in biological systems." Thesis, McGill University, 2002. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=29416.

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The Santillan-Mackey model of the tryptophan operon was developed to characterize the anthranilate synthase activity in cultures of Escherichia coli. Similarly, the GABA reaction scheme was formulated to characterize the response of the GABAA receptor at a synapse, and the Hodgkin-Huxley model was developed to characterize the action potential of a squid giant axon. While the Hodgkin-Huxley model has been studied in great detail from a mathematical vantage, much less is known about the preceding two models in this regard. This work examines the stiffness of all three models; a novel perspectiv

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28

Yu, Yun William. "Compressive algorithms for search and storage in biological data." Thesis, Massachusetts Institute of Technology, 2017. http://hdl.handle.net/1721.1/112879.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2017.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 187-197).<br>Disparate biological datasets often exhibit similar well-defined structure; efficient algorithms can be designed to exploit this structure. In this doctoral thesis, we present a framework for similarity search based on entropy and fractal dimension; here, we prove that a clustered search algorithm scales in time with metric entropy number of covering hyperspheres-if the fractal dimension is low. Using these i

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29

Tipadis, Grigoris G. "Mathematical models for wastewater treatment by the Rotating Biological Contactor process." Thesis, Imperial College London, 1991. http://hdl.handle.net/10044/1/8514.

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30

McInerney, Daragh. "Spatio-temporal patterning in biological systems : numerical techniques and mathematical modelling." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.393830.

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31

Gothard, Elizabeth Jane. "Wound healing : a multidisciplinary approach : combining mathematical models and biological experiments." Thesis, University of York, 2016. http://etheses.whiterose.ac.uk/17204/.

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Cutaneous wound repair occurs as a continuous process in both space and time; however, studies of healing mechanisms and outcomes frequently generate spatially and temporally sparse datasets. We propose a range of techniques that allow the size, cellular processes and scar tissue properties of wounds to be measured and predicted at high spatial and temporal resolution. A non-invasive wound imaging system is shown to provide reliable measurements of wound diameter, perimeter and surface area, but is less reliable in producing 3D metrics such as volume and depth. Wound size and time post healing

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Musvoto, Eustina Vongai. "Mathematical modelling of integrated chemical, physical and biological treatment of wastewaters." Master's thesis, University of Cape Town, 1998. http://hdl.handle.net/11427/9676.

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Includes bibliographical references.<br>The development of a kinetic-based model to simulate chemical, physical and biological processes in three phase (gaseous-aqueous-solid) mixed weak acid/base systems is described. The chemical processes are expressed in terms of the kinetics of the forward and reverse reactions for the dissociation of the weak acid/bases. In this approach the H⁺ and all the species of the weak acidfbases of interest are included and the pH is calculated directly from H⁺ via pH = -log (H⁺). The advantage of this approach over the alkalinity/equilibrium chemistry approach i

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Nundloll, Sapna. "Dos and don'ts in augmentative biological control : insights from mathematical modelling." Nice, 2010. http://www.theses.fr/2010NICE4054.

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Les travaux présentés dans cette thèse portent sur des problématiques de modélisation mathématique de lutte biologique augmentative et des recommandations pratiques qui en sont dérivées. La lutte biologique est une méthode de phytoprotection visant à combattre les ravageurs des cultures à l’aide de leurs ennemis naturels ; son développement est crucial en vue de diminuer l’utilisation de pesticides dont les conséquences néfastes sont reconnues, notamment sur la santé des agriculteurs et des consommateurs, mais aussi sur l’environnement. Il est donc nécessaire de proposer et développer des méth

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34

Lao, Bert Juan. "Diversified approach to the mathematical and computational modeling of biological systems." Diss., Restricted to subscribing institutions, 2008. http://proquest.umi.com/pqdweb?did=1562159981&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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35

Sinfield, James Lister. "Synchronization and causality in biological networks." Thesis, University of Warwick, 2009. http://wrap.warwick.ac.uk/3789/.

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Rackauckas, Christopher Vincent. "Simulation and Control of Biological Stochasticity." Thesis, University of California, Irvine, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10827971.

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<p> Stochastic models of biochemical interactions elucidate essential properties of the network which are not accessible to deterministic modeling. In this thesis it is described how a network motif, the proportional-reversibility interaction with active intermediate states, gives rise to the ability for the variance of biochemical signals to be controlled without changing the mean, a property designated as mean-independent noise control (MINC). This noise control is demonstrated to be essential for macro-scale biological processes via spatial models of the zebrafish hindbrain boundary sharpen

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Janse, Van Vuuren Adriaan. "Niche Occupation in Biological Species Competition." Thesis, Stellenbosch : University of Stellenbosch, 2008. http://hdl.handle.net/10019.1/2932.

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Thesis (MSc (Logistics))--University of Stellenbosch, 2008.<br>The primary question considered in this study is whether a small population of a biological species introduced into a resource-heterogeneous environment, where it competes for these resources with an already established native species, will be able to invade successfully. A two-component autonomous system of reaction-diffusion equations with spatially inhomogeneous Lotka-Volterra competitive reaction terms and diffusion coefficients is derived as the governing equations of the competitive scenario. The model parameters for wh

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Kirkham, Sharon Kaye. "On the mathematical modelling of cerebral autoregulation." Thesis, University of Southampton, 2001. https://eprints.soton.ac.uk/50623/.

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Cerebral autoregulation is the process by which blood flow to the brain is maintained despite changes in arterial blood pressure. Experiments using transcranial Doppler ultrasonography allow rapid measurements of blood flow velocity in the middle cerebral artery. Measurements of this velocity and a subject's arterial blood pressure are used in the assessment of the dynamic cerebral autoregulatory response. Two mathematical models representing the dynamic cerebral autoregulation response as a feedback mechanism, dependent on pressure and flow respectively, are derived. For each model two parame

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Faraday, David Brian Foster. "The mathematical modelling of the cell cycle of a hybridoma cell line." Thesis, University of Surrey, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341620.

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Mao, Dong. "Biological time series classification via reproducing kernels and sample entropy." Related electronic resource: Current Research at SU : database of SU dissertations, recent titles available full text, 2008. http://wwwlib.umi.com/cr/syr/main.

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Wittenberg, Ralf W. "Models of self-organization in biological development." Master's thesis, University of Cape Town, 1993. http://hdl.handle.net/11427/17405.

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Bibliography: p. 297-320.<br>In this thesis we thus wish to consider the concept of self-organization as an overall paradigm within which various theoretical approaches to the study of development may be described and evaluated. In the process, an attempt is made to give a fair and reasonably comprehensive overview of leading modelling approaches in developmental biology, with particular reference to self-organization. The work proceeds from a physical or mathematical perspective, but not unduly so - the major mathematical derivations and results are relegated to appendices - and attempts to f

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Luo, Yang. "Stochastic modelling in biological systems." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610145.

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Pfab, Ferdinand. "Mathematical models for host-parasitoid interactions and biological control of Drosophila suzukii." Doctoral thesis, Università degli studi di Trento, 2017. https://hdl.handle.net/11572/369316.

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This thesis treats mathematical models for host-parasitoid interactions. It is composed of three parts. In the first part, a class of such models is analyzed theoretically. It focuses on the phenomena of multiple coexistence equilibria of competing parasitoid species. The second part is about a model for determining how a parasitoid release should be timed to optimally control the invasive fruit fly Drosophila suzukii. The third part analyzes an experiment for releasing parasitoids in a greenhouse which is infested by D.suzukii. The models presented are used to discuss how to improve such biol

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Pfab, Ferdinand. "Mathematical models for host-parasitoid interactions and biological control of Drosophila suzukii." Doctoral thesis, University of Trento, 2017. http://eprints-phd.biblio.unitn.it/2705/1/20171127140823.pdf.

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This thesis treats mathematical models for host-parasitoid interactions. It is composed of three parts. In the first part, a class of such models is analyzed theoretically. It focuses on the phenomena of multiple coexistence equilibria of competing parasitoid species. The second part is about a model for determining how a parasitoid release should be timed to optimally control the invasive fruit fly Drosophila suzukii. The third part analyzes an experiment for releasing parasitoids in a greenhouse which is infested by D.suzukii. The models presented are used to discuss how to improve such biol

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Murrel, Benjamin. "Improved models of biological sequence evolution." Thesis, Stellenbosch : Stellenbosch University, 2012. http://hdl.handle.net/10019.1/71870.

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Thesis (PhD)--Stellenbosch University, 2012.<br>ENGLISH ABSTRACT: Computational molecular evolution is a field that attempts to characterize how genetic sequences evolve over phylogenetic trees – the branching processes that describe the patterns of genetic inheritance in living organisms. It has a long history of developing progressively more sophisticated stochastic models of evolution. Through a probabilist’s lens, this can be seen as a search for more appropriate ways to parameterize discrete state continuous time Markov chains to better encode biological reality, matching the histor

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Crawford, David Michael. "Analysis of biological pattern formation models." Thesis, University of Oxford, 1989. http://ora.ox.ac.uk/objects/uuid:aaa19d3b-c930-4cfa-adc6-8ea498fa5695.

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In this thesis we examine mathematical models which have been suggested as possibile mechanisms for forming certain biological patterns. We analyse them in detail attempting to produce the requisite patterns both analytically and numerically. A reaction diffusion system in two spatial dimensions with anisotropic diffusion is examined in detail and the results compared with certain snakeskin patterns. We examine two other variants to the standard reaction diffusion system: a system where the reaction kinetics and the diffusion coefficients depend upon the cell density suggested as a possible mo

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Gilbert, Mark. "Modelling species invasions in heterogeneous landscapes." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:944d15d3-257a-47e5-acb9-9bdfba26985b.

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Biological invasions are devastating ecosystems and economies world-wide, while many native species' survival depends on their ability to track climate change. Characterising the spread of biological populations is therefore of utmost importance, and can be studied with spatially explicit, discrete-time integro-difference equations (IDEs), which reflect numerous species' processes of demography and dispersal. While spatial variation has often been ignored when implementing IDE models, real landscapes are rarely spatially uniform and environmental variation is crucial in determining biological

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Lewis, Mark A. "Analysis of dynamic and stationary biological pattern formation." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.276976.

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Glacken, Michael W. (Michael William). "Development of mathematical descriptions of mammalian cell culture kinetics for the optimization of fed-batch bioreactors." Thesis, Massachusetts Institute of Technology, 1987. http://hdl.handle.net/1721.1/16493.

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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

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