Hernán Gustavo Solari

• Doctor
• Professor (Associate) at University of Buenos Aires

Resumen Derivamos las ecuaciones de Lagrange y las fuerzas ejercidas sobre los vínculos considerando a los vínculos como coordenadas que junto a las coordenadas generalizada dan una representación local del espacio cartesiano.

In Part I we constructed the Quantum Mechanics of a charged unitary entity and prescribed the form in which such a particle interacts with other charged particles and matter in general. In this second part we extend the description to the hydrogen atom testing the correctness and accuracy of the general description. The relation between electron an...

We reconstruct Quantum Mechanics in a way that harmonises with Classical Mechanics and Electromagnetism, free from mysteries or paradoxes as the collapse of the wave-function or Schrödinger's cat. The construction is inspired by de Broglie and Schrödinger's wave mechanics while the unifying principle is Hamilton's principle of least action, which s...

Lecture notes on the philosophy of science

Lecture notes.

We integrate dualistic conceptions of the real with Peirce's perspectives about reality and abduction, emphasizing the concept of reason underlying Peirce's thoughts. Peirce's abduction is related to the notions of retrogres-sion and grounding in Hegel, later re-encountered in Hansonian-abduction. Abduction in turn is considered in relation to abst...

Normal science is a characterization of science in our epoch and a demar- cation of what “scientific” means. It divides science in disciplined/normed paradigms. Mathematical epidemiology is the paradigm that regulates the activity of mathematicians with respect to the study of epidemics. It also represents the interest (multiple meanings implied) o...

The economic evaluation of mastitis control is challenging. The objective of this study was to perform the economic evaluation of mastitis control, under different intervention scenarios, quantifying the total cost of mastitis caused by S. aureus in Holstein cows in Argentina. A model was set for a dairy herd of Holstein cows endemically infected w...

Resumen Rolando García nos enseña que el marco socio-político determina en alguna medida el marco epistémico e influye igualmente en la estructura social del campo científico. Una recorrida por los acontecimiento principales, para la civilización europea, desde el presente hasta mediados de siglo XIX nos permiten poner a prueba esta tesis. En lugar...

The development of relational electromagnetism after Gauss appears to stop around 1870. Maxwell recognised relational electromagnet-ism as mathematically equivalent to his own formulae and called for an explanation of why so different conceptions have such a large part in common. We reconstruct relational electromagnetism guided by the No Arbitrari...

Colonies of Aedes aegypti have been reported at increasingly southern locations. Is this feature a manifestation of climate change or the result of the mosquito's adaptation? Answering the question requires the testing and comparison of results produced under different, competing, hypotheses. We address the problem using ``AedesBA'', a detailed mod...

Si anunciáramos que la ciencia está en crisis, la enorme mayoría de nuestros colegas (científicos en el sentido sociológico del término), y la opinión pública en general, nos mirarían con asombro. ¿No estamos acaso en el máximo esplendor de la ciencia; en su momento de máxima productividad e influencia social? ¿No es la ciencia el fundamento más só...

We present an epistemological schema of natural sciences inspired by Peirce’s pragmaticist view, stressing the role of the phenomenological map, that connects reality and our ideas about it. The schema has a recognisable mathematical/logical structure which allows to explore some of its consequences. We show that seemingly independent principles as...

While mechanics was developed under the idea of reciprocal action (interactions), electromagnetism, as we know it today, takes a form more akin to unilateral action. Interactions call for spatial relations, unilateral action calls for space, just one reference centre. In contrast, interactions are matters of relations that require at least two cent...

We present a mathematical model for the simulation of the development of an outbreak of coronavirus disease 2019 (COVID-19) in a slum area under different interventions. Instead of representing interventions as modulations of the parameters of a free-running epidemic, we introduce a model structure that accounts for the actions but does not assume...

We present an epistemological scheme of natural sciences inspired in Peirce's pragmaticist view, stressing the role of the phenomenological map, that connects reality and our ideas about it. The scheme has a recognis-able mathematical/logical structure which allows to explore some of its consequences. We show that seemingly independent principles a...

The force exerted by an electromagnetic body on another body in relative motion, and its minimal expression, the force on moving charges or \emph{Lorentz' force} constitute the link between electromagnetism and mechanics. Expressions for the force were produced first by Maxwell and later by H. A. Lorentz, but their expressions disagree. The constru...

We present a mathematical model for the simulation of the development of an outbreak of COVID-19 in a slum area under different interventions. Instead of representing interventions as modulations of the parameters of a free running epidemic we introduce a model structure that accounts for the actions but does not assume the results. The disease is...

Normal science is a characterization of science in our epoch and a demarcation of what "scientific" means. It divides science in disciplined/normed paradigms. Mathematical epidemiology is the paradigm that regulates the activity of mathematicians with respect to the study of epidemics. It also represents the interest (multiple meanings implied) of...

Recently, the RIDL-SIT technology has been field-tested for control of Aedes aegypti. The technique consists of releasing genetically modified mosquitoes carrying a “lethal gene”. In 2016 the World Health Organization (WHO) and the Pan-American Health Organization (PAHO) recommended to their constituent countries to test the new technologies propos...

We analyse how the concept of the ether, playing the role of absolute space, is still present in physics. When the problem is considered in the context of classical mechanics, we show that vestiges of absolute space can be found in the standard presentation of inertial systems. We offer an alternative -- fully relational -- definition of inertial s...

We examine the construction of electromagnetism in its current form, and in an alternative form, from a point of view that combines a minimal realism with strict rational demands. We begin by discussing the requests of reason when constructing a theory and next, we follow the historical development as presented in the record of original publication...

Recently, the RIDL-SIT technology has been field-tested for control of \emph{Aedes aegypti}. The technique consists of releasing genetically modified mosquitoes carrying a "lethal gene". In 2016 the World Health Organisation (WHO) and the Pan-American Health Organization (PAHO) recommend to their constituent countries to test the new technologies p...

We examine the construction of electromagnetism in its current form and in an alternative from a point of view that combines a minimal realism with strict demands of reason that we first introduce. We follow the historical development as presented in the record of original publications, the underlying epistemology (often explained by the authors) a...

In the present essay we attempt to reconstruct Newtonian mechanics under the guidance of logical principles and of a constructive approach related to the genetic epistemology of Piaget and García (Psychogenesis and the history of science, Columbia University Press, New York, 1989). Instead of addressing Newton’s equations as a set of axioms, ultima...

We propose a minimalist stochastic population model of maize, focused on the description of the maize vegetative stages (seedlings with different number of leaves) involved in the propagation of vector-borne diseases. This model was parameterized from laboratory and field experiments and from observational field studies for multiple hybrids and dif...

We develop a simulation method for Markov Jump processes with finite time steps based in a quasilinear approximation of the process and in multinomial random deviates. The second order approximation to the generating function, Error=O(dt2), is developed in detail and an algorithm is presented. The algorithm is implemented for a Susceptible-Infected...

Few studies have assessed the effects of food scarcity or excess on the life history traits of Aedes aegypti (L.) (Diptera: Culicidae) independently from larval density. We assessed immature survival, development time, and adult size in relation to food availability. We reared cohorts of 30 Ae. aegypti larvae from newly hatched to adult emergence w...

In the present essay we attempt to reconstruct the Newtonian system under the guidance of logical principles and a constructive approach related to the genetic epistemology of J. Piaget and R. Garc\'ia [19]. Instead of addressing Newton's equations as a set of axioms, ultimately given by the revelation of a prodigious mind, we search for the fundam...

We analyze the knowledge structures (epistemic frames) used to reach conclusions based upon observations in the field of flavivirus induced fevers such as dengue, zika, west nile and yellow fever. By reviewing the current literature, and specially, the surprises produced by the Zika virus pandemic we identify two main trends: the use of a bare form...

Resumen: A partir del fin de la Segunda Guerra Mundial se extiende, partiendo de los EEUU, una comprensión y uso de la ciencia subordinadas al proceso de producción. Esto determina el avance, sobre el campo científico, de un proceso de administración de la investigación y de la formación por parte del Estado y, a través de él, del aparato productiv...

Reason takes a different particular form in each scientific discipline, and even another form in philosophy. The dialog between different disciplined forms, and between science and philosophy requires the reconstruction of the universal reason as a meeting place. In this report we communicate an actual dialog experience consisting in evidencing the...

The success of control programs for mosquito-borne diseases can be enhanced by crucial information provided by models of the mosquito populations. Models, however, can differ in their structure, complexity, and biological assumptions, and these differences impact their predictions. Unfortunately, it is typically difficult to determine why two compl...

Distintos estudios sugieren que las poblaciones de mosquitos que se desarrollan en recipientes están reguladas por la disponibilidad de recursos alimenticios. Algunas de las consecuencias de esta limitación nutricional incluyen una menor supervivencia durante el desarrollo, una menor tasa de desarrollo, y una menor tasa de crecimiento corporal si s...

We revise the relation between average developmental time and devel-opmental rates in stochastic and deterministic developmental sequences where death is a likely event. We show that what has come to be known as the Gamma trick introduces an undesirable shortening of the develop-mental time when it is performed according to the established habits....

Ph. D Tesis (2015) by Victoria Romeo Aznar. Advisor H. G. Solari

Background & objectives: Since Aedes aegypti was identified as vector of yellow fever and dengue, its dispersal is relevant for disease control. We studied the dispersal of Ae. aegypti in temperate areas of Argentina during egglaying, using the existing population and egg traps. Methods: Two independent replicas of a unique experimental design i...

The consequences of adopting other denitions of the concepts of sum and convergence of a series are discussed in the light of historical and epis-temological contexts. We show that some divergent series appearing in the context of renormalization methods cannot be assigned nite values in a form consistent with Hardy's axioms without at the same tim...

The consequences of adopting other definitions of the concepts of sum and convergence of a series are discussed in the light of historical and epistemological contexts. We show that some divergent series appearing in the context of renormalization methods cannot be assigned finite values in a form consistent with Hardy's axioms without at the same...

We consider stochastic population processes (Markov jump processes) that develop as a consequence of the occurrence of random events at random time intervals. The population is divided into subpopulations or compartments. The events occur at rates that depend linearly on the number of individuals in the different described compartments. The dynami...

Stochastic modelling of dengue dynamics

Background & objectives: Since Aedes aegypti was identified as vector of yellow fever and dengue, its dispersal is relevant for disease control. We studied the dispersal of Ae. aegypti in temperate areas of Argentina during egglaying, using the existing population and egg traps. Methods: Two independent replicas of a unique experimental design invo...

SUMMARY We present a stochastic dynamical model for the transmission of dengue that considers the co-evolution of the spatial dynamics of the vectors (Aedes aegypti) and hosts (human population), allowing the simulation of control strategies adapted to the actual evolution of an epidemic outbreak. We observed that imposing restrictions on the movem...

We discuss the historic mortality record corresponding to the initial focus of the yellow fever epidemic outbreak registered in Buenos Aires during the year 1871 as compared to simulations of a stochastic population dynamics model. This model incorporates the biology of the urban vector of yellow fever, the mosquito Aedes aegypti, the stages of the...

To present the personality of Bob Gilmore is a formidable task, as his scientific contributions include group theory, laser physics, non-linear dynamics, catastrophe theory, thermodynamics, dynamical systems, quantum theory and more. But even if we succeed in describing his contributions, much of Gilmore’s being would be lost. Bob as advisor, Bob a...

Periodic orbits of 3-d dynamical systems admitting a Poincaré section can be described as braids. This characterisation can be transported to the Poincaré section and Poincaré map, resulting in the braid type. Information from braid types allows to estimate bounds for the topological entropy of the map while revealing detailed orbit information fro...

Here, we present and discuss a compartmental stochastic model for Aedes aegypti conceived as a math- ematical structure able to interpolate and extrapolate (predict) biological phenomena, and direct the attention to biological matters that need experimental elucidation. The model incorporates weather information in the form of daily temperatures an...

We studied the dispersion of Aedes aegypti during egg laying in natural conditions. Two independent experiments involving mosquitoes dispersing from urbanization towards adjacent un-urbanized areas were carried out and analyzed in statistical terms. We find relations between stochastic variables related to the egg laying mosquito activity (ELMA), u...

In this work we explore the effects of human mobility on the dispersion of a vector borne disease. We combine an already presented stochastic model for dengue with a simple representation of the daily motion of humans on a schematic city of 20x20 blocks with 100 inhabitants in each block. The pattern of motion of the individuals is described in ter...

We introduce a dengue model (SEIR) where the human individuals are treated on an individual basis (IBM) while the mosquito population, produced by an independent model, is treated by compartments (SEI). We study the spread of epidemics by the sole action of the mosquito. Exponential, deterministic and experimental distributions for the (human) expo...

We present a stochastic dynamical model for the transmission of dengue that takes into account seasonal and spatial dynamics of the vector Aedes aegypti. It describes disease dynamics triggered by the arrival of infected people in a city. We show that the probability of an epidemic outbreak depends on seasonal variation in temperature and on the av...

Periodically forced oscillators are among the simplest dynamical systems capable to display chaos. They can be described by the variables position and velocity, together with the phase of the force. Their phase-space corresponds therefore to R2×S1. The organization of the periodic orbits can be displayed with braids having only positive crossings....

We develop a stochastic spatial model for Aedes aegypti populations based on the life cycle of the mosquito and its dispersal. Our validation corresponds to a monitoring study performed in Buenos Aires. Lacking information with regard to the number of breeding sites per block, the corresponding parameter (BS) was adjusted to the data. The model is...

We discuss the stochastic dynamics of biological (and other) populations presenting a limit behaviour for large environments (called deterministic limit) and its relation with the dynamics in the limit. The discussion is circumscribed to linearly stable fixed points of the deterministic dynamics, and it is shown that the cases of extinction and non...

This book presents the development and application of some topological methods in the analysis of data coming from 3D dynamical systems (or related objects). The aim is to emphasize the scope and limitations of the methods, what they provide and what they do not provide. Braid theory, the topology of surface homeomorphisms, data analysis and the re...

We review, discuss and compare different, but related, approximations to the stochastic dynamics of populations, all of them having as limit the same deterministic dynamics. The diffusion approximation, linearized diffusion approximation and the Poisson approximation are briefly revisited and their quality as approximations for large, but given, po...

Aedes aegypti is the main vector for dengue and urban yellow fever. It is extended around the world not only in the tropical regions but also beyond them, reaching temperate climates. Because of its importance as a vector of deadly diseases, the significance of its distribution in urban areas and the possibility of breeding in laboratory facilities...

Theoretical perspectives on myxomatosis dynamics with applications to biological control: Myxomatosis is a lethal disease for the European rabbit (Oryctolagus cuniculus) produced by the myxoma virus and transmitted by mosquitos and fleas. Myxomatosis has been used for the biological control of exotic populations of the European rabbit in some count...

Myxomatosis is a lethal disease for the European rabbit (Oryctolagus cuniculus) produced by the myxoma virus and transmitted by mosquitos and fleas. Myxomatosis has been used for the biological control of exotic populations of the European rabbit in some countries, for example in Australia. Exotic rabbit populations produce an important negative im...

We propose a -dimensional mesoscopic model to describe the most relevant physical processes that take place while depositing and/or annealing micro- and nanopatterned solid substrates. The model assumes that a collimated incident beam impinges over the growing substrate; scattering effects in the vapor and reemission processes are introduced in a p...

1 Abstract The present paper examines aspects of how students are incorporated in the community of mature scientists. Our goal is to illustrate how grad-uate students learn to distinguish correct procedures from incorrect proce-dures following two, sometimes contradictory, curricula: the explicit dis-course of mathematics and physics on one hand, a...

In this work we discuss pattern-preserving growth during metal deposition from the vapor on micro/nano-structured metal substrates. Experimental results for Cu deposition on patterned Cu substrates show pattern preserving growth or pattern destruction depending on the incident angle. We introduce a mesoscopic 1+1 dimensional model including deposit...

We present a method for estimating the minimal periodic orbit structure, the topological entropy, and a fat representative of the homeomorphism associated with the existence of a finite collection of periodic orbits of an orientation-preserving homeomorphism of the disk D2. The method focuses on the concept of fold and recurrent bogus transition an...

We consider several stochastic processes corresponding to the same physical solid-on-solid deposition problem. Simplified models presenting the same (conditional) mean and variance for each process are also introduced as well as generalizations in terms of the deposition of blobs and probabilistic deposition rules. We compare the evolution of the r...

Co-circulation of several strains of parasites has been observed in many host-parasite systems. However, simple epidemiological models cannot sustain this coexistence. In this work we study the coexistence of viral strains in the myxomatosis case. Myxomatosis, a highly lethal disease of the European rabbit, has been used in Australia and Europe as...

We discuss the gravitational sedimentation of particles in terms of a stochastic model considering, in view of experimental evidence, that the aggregation to the growing surface (deposit) is mediated by the formation of a layer of suspended particles subject to gravitational forces, thermal agitation, as well as aggregation (contact) forces. The ag...

We introduce an approximation to stochastic population dynamics based on almost independent Poisson processes whose parameters obey a set of coupled ordinary differential equations. The approximation applies to systems that evolve in terms of events such as death, birth, contagion, emission, absorption, etc., and we assume that the event-rates sati...

An atomistic model for Cu electrodeposition under nonequilibrium conditions is presented. Cu electrodeposition takes place with a height-dependent deposition rate that accounts for fluctuations in the local Cu2+ ions concentration at the interface, followed by surface diffusion. This model leads to an unstable interface with the development of prot...

We discuss the dynamics in the laser with an injected signal from a perturbative point of view showing how different aspects of the dynamics get their definitive character at different orders in the perturbation scheme. At the lowest order Adler's equation [Proc. IRE 34, 351 (1946)] is recovered. More features emerge at first order including some b...

We examine the application of the slowly varying envelope approximation SVEA to the study of the laser with optical feedback, comparing the monochromatic modes obtained using a SVEA approximation with those emerging from a full treatment of the Maxwell-Bloch equations in a coupled cavity formulation of the laser with optical feedback A. A. Duarte a...

We discuss how to simulate a stochastic evolution process in terms of difference equations with Poisson distributions of independent events when the problem is naturally described by discrete variables. For large populations the Poisson approximation becomes a discrete integration of the Langevin approximation [T. G. Kurtz, J. Appl. Prob. 7, 49 (19...

Many non-linear deterministic models for interacting populations present damped oscillations towards the corresponding equilibrium values. However, simulations produced with related stochastic models usually present sustained oscillations which preserve the natural frequency of the damped oscillations of the deterministic model but showing non-vani...

INTRODUCTION The laser with optical feed back has been an object of study during the last twenty years[2, 3, 4, 5, 6, 7, 8] due to its importance for the communication industry as well as the intricacies of its dynamical behavior. In a recent work[1, 9] we have produced a uniform approximation to the laser with injected signal for values of the ref...

A finite-dimensional version of a model of the laser with optical reinjection is considered. The model is a simplified version of the infinitedimensional one presented in Phys. Rev., 58 A:614, 1998. The spatial coordinate is discretized inside the semiconductor using M equally spaced points. We show that when the appropriate simplification is perfo...

We discuss the process by which the spectrum of monochromatic modes of the laser in a double-cavity laser changes from that proper to a shea cavity into that proper to a long cavity as the reflectivity of the "external'' mirror is varied from 0 to 1. This work is the natural continuation of our previous work [Phys. Rev. A 58, 614 (1998)], where the...

We discuss the changes in the spectrum of monochromatic modes in a double-cavity laser showing how the characteristic frequencies change from those proper of a short cavity into those proper of a long cavity using as control parameter the reflectivity of an "external" mirror. The problem is cast into the language of bifurcations in a nonlinear eige...

We discuss the monochromatic solutions of a semiconductor laser and their stability. The interaction between light and the semiconductor is modeled with a simple "two-level" model and an improved (semiconductor) version. The semiconductor physics is blended into a dynamical model including the spatial dependence of the variables. The dynamics of th...