Mathematical Models in biology

Dynamic Modeling with Difference Equations. Linear Models of Structured Populations. Nonlinear Models of Interactions. Modeling Molecular Evolution. Constructing Phylogenetic Trees. Infectious Disease Modeling. Curve Fitting and Biological Modeling.

Подобные документы

  • An application of mathematical models in transport infrastructure and the field of road construction. The problems of traffic jams, road accident, overload, underload of transport nodal points and their solving with the help of mathematical modeling.

    статья, добавлен 20.04.2019

  • Practical methods for solving nonlinear equations. Metrological support of iterative methods for solving nonlinear equations with inaccurate initial data. Modeling the behavior of iterative methods for different values of initial data and their errors.

    статья, добавлен 11.09.2022

  • Assessment of convergence result for the sequential procedure in the form of alternating maximization to the maximum likelihood estimation for a family of models - Generalized linear models. Variable Linear Regression procedure. Using techniques ALS.

    курсовая работа, добавлен 27.08.2016

  • Auto-associative models as a new tool for building nonlinear principal component analysis methods. The successive approximations of a dataset by manifolds of increasing dimensions. The theoretical comparison between PCA and auto-associative models.

    статья, добавлен 08.02.2013

  • Approximations in Scientic Computation, сomputer Arithmetic, mathematical Software. Linear Systems, solving Linear Systems, Iterative Methods for Linear Systems. Linear Least Squares, eigenvalues and Singular Values, Nonlinear Equations, optimization.

    учебное пособие, добавлен 25.11.2013

  • Linear Principal Components. A linear model formulation. The Principal Curve and Surface models. Theory for principal curves and surfaces. Algorithmic details. Estimation of curves and surfaces. Gold assay pairs. Generalized linear principal components.

    дипломная работа, добавлен 08.02.2013

  • Consideration of the process of evolution and prospects of mathematical methods and models in economic research. Characterization of advantages and identification of disadvantages of mathematical formalization in the conditions of a new economic paradigm.

    статья, добавлен 31.07.2022

  • Mathematics as a fundamental science. The place in its structure of differential equations is one of the most harmonious ways of knowing the universe. Study of the algorithm for constructing compartmental (SIR) models, based on differential equations.

    статья, добавлен 10.08.2022

  • List of the adopted abbreviations and designations. The complexity of configurations. Architecture – models and their appendices. Extreme constructive possibilities. The complexity of finite configurations. Formal discrete models of self reproduction.

    учебное пособие, добавлен 09.05.2014

  • The methods developed by Hamilton 1989 and Chib 1996 to identied multiple-equation models. It details Bayesian estimation and inference for a class of models with different degrees of time variation and discuss analytical and computational difculties.

    статья, добавлен 28.06.2013

  • The natural connection between interassociates and variants of a semigroup. Variants of regular semigroups. Connection interassociates with commutative dimonoids. Study interassociates of the free semigroup with two generators using computer modeling.

    статья, добавлен 27.06.2016

  • Model of motion, which takes into account the asymmetry of hulls, infiltration processes and surface waves in the form of a system of nonlinear differential equations. Estimation of the error as a function of the magnitude of the initial velocities.

    статья, добавлен 25.10.2016

  • The quart formula - a tool for describing the composition of functions, the modification of which directly changes properties, which are easily detected by numerical modeling. A complete infinite power-factorial functional series of the exponent.

    статья, добавлен 12.05.2018

  • Finding common solutions of linear differential equations of the fourth order, the coefficients of which satisfy the system of three differential equations of the first order. The problem of conformal mapping of polygons, whose sides are arcs of circles.

    статья, добавлен 04.02.2017

  • The mathematical principles of the operation of cryptocurrencies. Mathematical formulas for calculating the public key from the private key. Properties of elliptic curves and the principle of their application during the creation of cryptocurrency.

    статья, добавлен 10.05.2023

  • Further, we found sufficient conditions on linear Volterra integro-differential equations of the third kind to be correct in analytical functions which generalize the well-known fact of correctness of a Volterra integral equation of the second kind.

    статья, добавлен 12.08.2020

  • The algorithm of the basic components of a linear analysis. Work on nonlinear PCA, or NLPCA, autoassociative's neural networks, principal curves and manifolds, kernel the combination's of these approaches. The problem areas that require research.

    статья, добавлен 08.02.2013

  • The study of optimal control problems for linear parabolic equations with unbounded coefficients in the main part of elliptic operator. The peculiarities of this type of equations. Setting of the optimal control problem and its preliminary analysis.

    статья, добавлен 23.06.2016

  • Modeling the static deformation of a circular plate with discrete variable thickness. The use of a matrix green type and algebraic matrices to create an algorithm for compact computing solutions for deformation of circular plates of variable thickness.

    статья, добавлен 24.11.2016

  • Description of a variational graph-theoretic. Brief review of linear graph principles. Generate the equations of motion with elastic deformations, the flexible bodies are discretized using two types of finite elements. Discretize unidirectional bodies.

    статья, добавлен 17.04.2013

  • Proving of the theorem on a normal limit distribution of the normalized number of false solutions of a beforehand consistent system of nonlinear random equations over the field GF(2) with additional condition on the number of nonzero components.

    статья, добавлен 25.03.2016

  • Teaching students of mathematical fields of training to inverse problems. Implementation of the scientific, educational potential of teaching university students inverse problems for differential equations. Computational methods of mathematical physics.

    статья, добавлен 01.04.2021

  • Normed linear spaces. Contraction mapping theorem. Applications to differential and integral equations. Linear transformations. Product spaces and Fubini's theorem. Projection and self-adjoint operators. Gram-Schmidt orthonormalization. Fourier analysis.

    курс лекций, добавлен 03.07.2013

  • Description of combinatorial DG-Hopf color cooperadic models for configuration spaces of points in the first quarter and in the N-gon. The proof version of the formality theorem of Kontsevich to the two subspaces in the vector space and for the morphism.

    курсовая работа, добавлен 27.08.2016

  • The self regulation of the parameters of the algorithm is a major step towards the establishment of the method as a general tool of nonlinear data analysis. Algorithms for the general task of extracting nonlinear principal manifolds from high dimensional.

    статья, добавлен 08.02.2013

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