A novel model for one-dimensional morphoelasticity. Part II - Application to the contraction of fibroblast-populated collagen lattices [PDF]
, 2011 Fibroblast-populated collagen lattices are commonly used in experiments to study the interplay between fibroblasts and their pliable environment. Depending on the method by which\ud they are set, these lattices can contract significantly, in some cases ...
Hall, C. L. +3 more
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Sharp Interface Limit for the Cahn-Larch\'e System [PDF]
, 2014 We prove rigorously the convergence of the Cahn-Larch\'e system, which is a Cahn-Hilliard system coupled with the system of linearized elasticity, to a modified Hele-Shaw problem as long as a classical solution of the latter system exists.
Abels, Helmut, Schaubeck, Stefan
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Approximate Approach to the Das Model of Fractional Logistic Population Growth [PDF]
, 2010 In this article, the analytical method, Homotopy perturbation method (HPM) has been successfully implemented for solving nonlinear logistic model of fractional order. The fractional derivatives are described in the Caputo sense.
Das, S., Gupta, P. K., Vishal, K.
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Application of the optimal homotopy asymptotic method for solving the Cauchy reaction-diffusion problem [PDF]
, 2013 In this paper, the optimal homotopy asymptotic method is applied on the Cauchy reaction-diffusion problems to check the effectiveness and performance of the method.
Gharbavy, S., Jafari, H.
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Solutions of Nonlinear Second Order Multi-point Boundary Value Problems by Homotopy Perturbation Method [PDF]
, 2010 In this paper, we present an algorithm for the numerical solution of the second order multi- point boundary value problem with suitable multi boundary conditions.
Das, S., Kumar, Sunil, Singh, O. P.
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Two Numerical Algorithms for Solving a Partial Integro-Differential Equation with a Weakly Singular Kernel [PDF]
, 2012 Two numerical algorithms based on variational iteration and decomposition methods are developed to solve a linear partial integro-differential equation with a weakly singular kernel arising from viscoelasticity.
Hrynkiv, Volodymyr +2 more
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MHD Mixed Convective Flow of Viscoelastic and Viscous Fluids in a Vertical Porous Channel [PDF]
, 2012 In this paper, we analyze the problem of steady, mixed convective, laminar flow of two incompressible, electrically conducting and heat absorbing immiscible fluids in a vertical porous channel filled with viscoelastic fluid in one region and viscous ...
Kumar, B. R., Prakash, J., Sivaraj, R.
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Аналитические свойства решений уравнений Эйлера-Пуассона в случае Гесса [PDF]
, 2005 Решение уравнений Эйлера-Пуассона в случае Гесса задается набором особых точек решения вместе с его асимптотикой в этих ...
Беляев, А.В.
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A comprehensive view of the solvability of non-local fractional orders pantograph equation with a fractal-fractional feedback control [PDF]
In this article, the solvability of the pantograph equation of fractional orders under a fractal-fractional feedback control was investigated. This investigation was located in the class of all continuous functions.
A. M. A. El-Sayed +2 more
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Fixed point theorems for generalized -Suzuki-contraction mappings in complete -metric spaces [PDF]
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