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Autor Herrero, Miguel A. |
Documentos disponibles escritos por este autor (100)
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This work is concerned with some aspects of the social life of the amoebae Dictyostelium discoideum (Dd). In particular, we shall focus on the early stages of the starvation-induced aggregation of Dd cells. Under such circumstances, amoebae are [...]![]()
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Arias, Clemente F. ; Herrero, Miguel A. ; Stern, Claudio D. ; Bertocchini, Federica | Nature Publishing Group | 2017The first obvious sign of bilateral symmetry in mammalian and avian embryos is the appearance of the primitive streak in the future posterior region of a radially symmetric disc. The primitive streak marks the midline of the future embryo. The m[...]![]()
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From the introduction: "We continue here the investigation initiated earlier by us [Trans. Amer. Math. Soc. 314 (1989), no. 1, 187–224] concerning the solvability of the Cauchy problem and the existence of initial traces for nonnegative weak sol[...]![]()
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The initial value problem for the equation (?2 / ?t2 ? ?2 / ?x2) ?T / ?t = (? ?2 / ?t ? ?2 / ?x2) eT, ?> 1, is considered. It is proved that under some restrictions on the initial data there is a curve, denoted by t=??(x), which is positive, [...]![]()
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We consider an infinite system of reaction-diffusion equations that models aggregation of particles. Under suitable assumptions on the diffusion coefficients and aggregation rates, we show that this system can be reduced to a scalar equation, fo[...]![]()
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We consider here the radial Stefan problem with Gibbs-Thomson law, which is a classical model describing growth or melting of a spherical crystal in a surrounding liquid. We shall specialize to the cases of two and three space dimensions and dis[...]![]()
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The paper is a nice brief review of fundamental results about the initial value problem for one-dimensional nonlinear degenerate parabolic equations of "porous media'' type: ut=[?(ux)]x, x?R, t> 0, with ? continuous, nondecreasing, ?(0)=0, |?(s)[...]![]()
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Velázquez, J.J. L. ; Galaktionov, V. A. ; Posashkov, S. A. ; Herrero, Miguel A. | Pergamon-Elsevier Science | 1993The authors study asymptotic behaviour of positive solutions of equations of the type ut =??(u)±Q(u), where ?? and Q are given positive functions. By determining an auxiliary function F(u) appearing in an expression posed by A. Friedman and B. M[...]![]()
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The authors study the Cauchy problem for the degenerate parabolic equation ut = div(|Du| p?2 Du)(p![]()
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This paper deals with the following initial value problem: (1) ?u/?t??u+u p=0 on RN, N?1, 0 0,u(x,t)> 0}, u(x,t) being the solution of (1). The following results are established. (i) If u0(x)?A(|x|)+B|x?a|2/(1?p) for some a?RN where A(|x|)=o(|x[...]![]()
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Bellomo , Nicola ; Herrero, Miguel A. ; Tosin, Andrea | American Institute of Mathematical Sciences | 2013-09This paper deals with the modeling of social competition, possibly resulting in the onset of extreme conflicts. More precisely, we discuss models describing the interplay between individual competition for wealth distribution that, when coupled [...]![]()
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In this work a mathematical model for the interaction of two key signalling molecules in rat tibia ossification is presented and discussed. The molecules under consideration are Indian hedgehog (Ihh) and parathyroid hormone-related peptide (PTHr[...]![]()
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Herrero, Miguel A. ; Oleaga Apadula, Gerardo Enrique ; Velázquez, J.J. L. | American Mathematical Society | 2006This work deals with the linear wave equation considered in the whole plane R2 except for a rectilinear moving slit, represented by a curve ? (t) = {(x1, 0) : ??![]()
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We analyse a mathematical model for the growth of thin filaments into a two dimensional medium. More exactly, we focus on a certain reaction/diffusion system, describing the interaction between three chemicals (an activator, an inhibitor and a g[...]