A Class of Solutions for the Hybrid Kinetic Model in the Tumor-Immune System Competition

In this paper, the hybrid kinetic models of tumor-immune system competition are studied under the assumption of pure competition. The solution of the coupled hybrid system depends on the symmetry of the state transition density which characterizes the probability of successful occurrences. Thus by defining a proper transition density function, the solutions of the hybrid system are explicitly computed and applied to a classical (realistic) model of competing populations

Nonholonomic Geometry of Viscoanelastic Media and Experimental Confirmation

A thermodynamical model for viscoanelastic media is analyzed using the nonholonomic geometry. A 27-dimensional manifold is introduced, and the differential equations for the geodetics are determined and analytically solved. It is shown that, in this manifold, the best specific entropy is a harmonic function. In the linear case the propagation of transverse acoustic waves is studied, and the theoretical results are compared with some experimental data from a polymeric material (polyisobutylene)

Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition

A hybrid model, on the competition tumor cells immune system, is studied under suitable hypotheses. The explicit form for the equations is obtained in the case where the density function of transition is expressed as the product of separable functions. A concrete application is given starting from a modified Lotka-Volterra system of equations

Metamodeling of the learning-hiding competition between tumours and the immune system: A kinematic approach

The competitive interaction between the Immune System and tumours is very complex, being non-linear and, to some extent, evolutionary. A fundamental aspect of this evolution is the asynchronous process of mutual learning of the two populations involved the tumoural and the immune cells. In this work, to describe them, we propose a simple non-linear family of super-macroscopic models with non-monotonically time-varying coefficients. Numerical simulations of transitory phases complement the theoretical analysis

Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition

A hybrid model, on the competition tumor cells immune system, is studied under suitable hypotheses. The explicit form for the equations is obtained in the case where the density function of transition is expressed as the product of separable functions. A concrete application is given starting from a modified Lotka-Volterra system of equations

Los xenarthra de gran barranca : más 20 ma de historia

Fil: Carlini, Alfredo Armando. Departamento de Paleontología de Vertebrados, Facultad de Ciencias Naturales y Museo de La Plata, Paseo del Bosaque s/n,1900 La Plata, ArgentinaFil: Ciancio, Martín Ricardo. Departamento de Paleontología de Vertebrados, Facultad de Ciencias Naturales y Museo de La Plata, Paseo del Bosaque s/n,1900 La Plata, ArgentinaFil: Scillato-Yané, Gustavo Juan. Departamento de Paleontología de Vertebrados, Facultad de Ciencias Naturales y Museo de La Plata, Paseo del Bosaque s/n,1900 La Plata, Argentin

The least-curvature principle of Gauss and Hertz and geometric dynamics

9789606766763International audienceThis paper shows how we can study real life problems in economics, biology and engineering with tools from differential geometry. Section 1 emphasizes the S-shaped time evolutions and underlines that the torse forming vector field reflects economical phenomena. Section 2 analyzes the geometric dynamics on infinite dimensional Riemannian manifolds produced by first order ODEs and the Euclidean metric. Section 3 introduces and studies a least-curvature principle. Section 4 defines and studies the geometric dynamics on infinite dimensional Riemannian manifolds produced by second order ODEs and by the Euclidean metric. Section 5 analyzes the least-curvature principle of Gauss and Hertz in a general setting. Section 6 explores the controllability of the neoclassical growth geometric dynamics and underlines that the theory can be extended to infinite dimensional manifolds. Section 7 contains conclusions

Extractions of some new travelling wave solutions to the conformable Date-Jimbo-Kashiwara-Miwa equation

In this paper, complex and combined dark-bright characteristic properties of nonlinear Date-Jimbo-Kashiwara-Miwa equation with conformable are extracted by using two powerful analytical approaches. Many graphical representations such as 2D, 3D and contour are also reported. Finally, general conclusions of about the novel findings are introduced at the end of this manuscript

Identification of type specimens of Dasypodidae (Mammalia, Xenarthra) of the paleogene of Argentina

The first collections of Dasipodids of the Paleogene of Argentina were made by Carlos Ameghino in Patagonia. These remains were studied later by his brother Florentino, who described 45 species of Dasipododids distributed in the successive associations that form the first known mammalian faunas: 19 for the Notostylopeén (Casamayoran), 9 for the Astraponoteén (Mustersan) and 17 for the Pyrothéréen (Deseadan). With the aim of studying the diversity of Dasipodids of the Lower Tertiary, the main and immediate reference to wich we have to access to, is the collection of fossils of Ameghino. Nowadays it is a part of the numerous vertebrate collections of the Museo Argentino de Ciencias Naturales (MACN) "Bernardino Rivadavia". In the original publications of Ameghino, there is no reference to any collection number belonging to the described species and it was long after he described them, that the specimens were deposited in the MACN. When we started studying the type specimens we found that some of them were missing, including those mentioned by other authors. However, after checking out every single specimen of Dasypodidae of Ameghino Collection of MACN, we have identified some remains corresponding to the ones that Ameghino used to describe his species, hence, the types. In this work, we bring to light the specimen types of Dasypodidae that have been identified and until now, were not known as such, or were considered lost. The information about the geographical and stratigraphic origin of the remains was actualized.Las primeras colecciones de Dasipodinos del Paleógeno de Argentina fueron realizadas por Carlos Ameghino en Patagonia. Estos restos fueron luego estudiados por su hermano, Florentino, quién describió 45 especies de Dasipodinos distribuidas en las sucesivas asociaciones que conforman las primeras faunas mamalíferas conocidas: 19 para el Notostylopeén (Casamayorense), 9 para el Astraponoteén (Mustersense) y 17 para el Pyrothéréen (Deseadense). Con el objetivo de estudiar la diversidad de Dasipodinos del Paleógeno, la principal referencia inmediata a la que debemos acceder es a la colección de fósiles de Ameghino. Actualmente, esta colección forma parte de las numerosas colecciones de vertebrados fósiles del Museo Argentino de Ciencias Naturales “Bernardino Rivadavia”. En las publicaciones originales de Ameghino no hay referencia a algún número de colección de las especies descriptas, y fue mucho después de que él las describiera, que los ejemplares fueron depositados en el MACN. Al momento de estudiar los materiales tipo de estas especies, nos encontramos, en principio, con muchas ausencias, incluso aquellas que habían sido mencionadas por otros autores. Sin embargo, luego de revisar todos los ejemplares de Dasipodinos de la colecciónAmeghino del MACN, hemos podido identificar varios restos que se corresponden con aquellos sobre los cuales Ameghino describió sus especies, por ende, los tipos. En este trabajo damos a conocer los ejemplares tipo de Dasypodidae que se han identificado y que hasta el momento no se encontraban como tales, o se consideraban extraviados. También se actualizó la información sobre la procedencia geográfica y estratigráfica de estos restos.Facultad de Ciencias Naturales y Muse

Identification of type specimens of Dasypodidae (Mammalia, Xenarthra) of the paleogene of Argentina

The first collections of Dasipodids of the Paleogene of Argentina were made by Carlos Ameghino in Patagonia. These remains were studied later by his brother Florentino, who described 45 species of Dasipododids distributed in the successive associations that form the first known mammalian faunas: 19 for the Notostylopeén (Casamayoran), 9 for the Astraponoteén (Mustersan) and 17 for the Pyrothéréen (Deseadan). With the aim of studying the diversity of Dasipodids of the Lower Tertiary, the main and immediate reference to wich we have to access to, is the collection of fossils of Ameghino. Nowadays it is a part of the numerous vertebrate collections of the Museo Argentino de Ciencias Naturales (MACN) "Bernardino Rivadavia". In the original publications of Ameghino, there is no reference to any collection number belonging to the described species and it was long after he described them, that the specimens were deposited in the MACN. When we started studying the type specimens we found that some of them were missing, including those mentioned by other authors. However, after checking out every single specimen of Dasypodidae of Ameghino Collection of MACN, we have identified some remains corresponding to the ones that Ameghino used to describe his species, hence, the types. In this work, we bring to light the specimen types of Dasypodidae that have been identified and until now, were not known as such, or were considered lost. The information about the geographical and stratigraphic origin of the remains was actualized.Las primeras colecciones de Dasipodinos del Paleógeno de Argentina fueron realizadas por Carlos Ameghino en Patagonia. Estos restos fueron luego estudiados por su hermano, Florentino, quién describió 45 especies de Dasipodinos distribuidas en las sucesivas asociaciones que conforman las primeras faunas mamalíferas conocidas: 19 para el Notostylopeén (Casamayorense), 9 para el Astraponoteén (Mustersense) y 17 para el Pyrothéréen (Deseadense). Con el objetivo de estudiar la diversidad de Dasipodinos del Paleógeno, la principal referencia inmediata a la que debemos acceder es a la colección de fósiles de Ameghino. Actualmente, esta colección forma parte de las numerosas colecciones de vertebrados fósiles del Museo Argentino de Ciencias Naturales “Bernardino Rivadavia”. En las publicaciones originales de Ameghino no hay referencia a algún número de colección de las especies descriptas, y fue mucho después de que él las describiera, que los ejemplares fueron depositados en el MACN. Al momento de estudiar los materiales tipo de estas especies, nos encontramos, en principio, con muchas ausencias, incluso aquellas que habían sido mencionadas por otros autores. Sin embargo, luego de revisar todos los ejemplares de Dasipodinos de la colecciónAmeghino del MACN, hemos podido identificar varios restos que se corresponden con aquellos sobre los cuales Ameghino describió sus especies, por ende, los tipos. En este trabajo damos a conocer los ejemplares tipo de Dasypodidae que se han identificado y que hasta el momento no se encontraban como tales, o se consideraban extraviados. También se actualizó la información sobre la procedencia geográfica y estratigráfica de estos restos.Facultad de Ciencias Naturales y Muse