- Ever since I was attracted to science, during my late high school years, I considered specialisation harmful. I enter... moreEver since I was attracted to science, during my late high school years, I considered specialisation harmful. I entered college aiming at physics, switched to mathematics, and graduated with mayors in mathematical-physics and informatics. While working at the Brazilian Bureau of Censuses, I got a MSc in statistics and sampling. My work centred on developing simulators for socio-economic subjects. Adhering to generic systems and General Systems Theory as a firm ground for my thinking was most natural in that context. My PhD work was about computational modelling of physical phenomena, although this term didn’t exist then. It included also a 10k lines of experimental code.
Being the leader in a project to computationally model artificial lakes in the Amazon region moved me into an adventurous quest to find simpler ways to describe, investigate, and understand living phenomena. This quest, based on novel organisation and information concepts, fuel my thoughts still today. Decades after the Amazon project I became PI to the flooded areas group in a multi-institutional network set to model the Amazon landscape in all its dimensions: geo-physical, biotic, socio-economic, and human. Both projects provided me with the opportunity to visit scientific field sites in the jungle and to work with field ecologists, biologists, and meteorologists.
I have taught short and regular courses since my graduation on several subjects related with numerical modelling and environmental sciences and regularly on modelling techniques at LNCC (www.lncc.br) since 2008.”edit
... Recebido em 10/04/80 Page 2. 218 MVKritz uniqueness of classical solutions when the third de~rivative of u 0 is square integrable. Also MM Miranda studied this problem in [5] where theo-rems concerning the existence of weak periodic... more
... Recebido em 10/04/80 Page 2. 218 MVKritz uniqueness of classical solutions when the third de~rivative of u 0 is square integrable. Also MM Miranda studied this problem in [5] where theo-rems concerning the existence of weak periodic solutions are presented. ...
Research Interests:
The study of processes associated with vegetation grow is very important to understand the dynamics of flooded ecosystems and their sustainable management. We present a cell-centered individual-based probabilistic model for the dynamics... more
The study of processes associated with vegetation grow is very important to understand the dynamics of flooded ecosystems and their sustainable management. We present a cell-centered individual-based probabilistic model for the dynamics of tree-populations, that is further tailored towards the environmental conditions present in the Amazon floodplains.
Research Interests:
... o Page 6. 62 Maurfcio V. Kritz so that, for any e small enough, we have ... And, as u belongs to the image of F, it also has all the properties that are common to solutions of (2.1), the more relevant of which are included in the... more
... o Page 6. 62 Maurfcio V. Kritz so that, for any e small enough, we have ... And, as u belongs to the image of F, it also has all the properties that are common to solutions of (2.1), the more relevant of which are included in the statement of Theo-rem 1.1. Step (ii). ...
Research Interests:
Research Interests:
Western science has always been intrinsically a social enterprise. How the population of scientists organises itself to produce knowledge, though, has changed enormously during the last 150 years. Generally, these changes occurred... more
Western science has always been intrinsically a social enterprise. How the population of scientists organises itself to produce knowledge, though, has changed enormously during the last 150 years. Generally, these changes occurred instinctively and spontaneously, being rarely, if at all, planned beforehand or investigated a posteriori. The result of this process is that the actual organisation of the scientific society is being considered far from optimal to face the gigantic and complex challenges lying ahead. In inquiry domains aiming to understand problems of organised complexity it is even inadequate, although it is often difficult to state why and to identify where inadequacies lie. Grounding on organisations, a generalisation of the system concept, on the in-formation concept induced by them and on the ground-breaking achievements of the science of generic systems in the last century, I tentatively sketch a description of the scientific milieu and its social arrangements that allows for questioning about agonistic, antagonistic, and synergistic situations and patterns of interaction, collaboration, and knowledge-creation.
Research Interests:
Research Interests:
Research Interests: Engineering, Computer Science, Photosynthesis, Biology, Bio-Inspired Systems, and 12 moreMedicine, Biological Sciences, Green Algae, Glycolysis, Chlamydomonas, Flux Balance Analysis, Metabolic pathway, Biosystems, Chlamydomonas Reinhardtii, Cyclic electron flow, Pentose Phosphate Pathway, and mixotrophic growth
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Research Interests: Physics and Humanities
Environmental systems and landscapes are extremely complex systems whose observation is difficult, resulting in incomplete observations scattered in time and space with respect to relevant factors. They are ever changing systems far from... more
Environmental systems and landscapes are extremely complex systems whose observation is difficult, resulting in incomplete observations scattered in time and space with respect to relevant factors. They are ever changing systems far from thermo-dynamical equilibrium. Moreover, the nature of these observations typically varies from one environmental sphere to all others. We address the problem of obtaining systematic and extensive enough observations about these systems to build reliable dynamical models of them, focusing on long term behavior, adaptation, and sustainability.
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ABSTRACT The development of an Environmental Science is strongly connected with the long term observation of wild environmental sys- tems, which are usually situated far from immediate reach. Environmen- tal systems have as basic elements... more
ABSTRACT The development of an Environmental Science is strongly connected with the long term observation of wild environmental sys- tems, which are usually situated far from immediate reach. Environmen- tal systems have as basic elements ecosystems that are difficult to delin- eate since their boundaries and dynamical regime change over time. This paper discusses the concept of environmental probes and their use in in- accessible regions, e.g., remote sites in the Amazon forest. The focus is on their ability to track environmental systems for long periods and produce useful scientific data. A dynamic data scientific approach is essential to our concept due to (a) the remote location of sensors and the the many years span of observation processes, (b) the necessary dynamical cre- ation and adaptation of environmental models to uncover environmental features, and (c) the partial substitution of human abilities concerning maintenance and the identification of novelties.
Research Interests:
Mathematical models can be widely found in the literature describing epidemics. The epidemical models that use differential equations to represent mathematically such description are especially sensible to parameters. This work analyze a... more
Mathematical models can be widely found in the literature describing epidemics. The epidemical models that use differential equations to represent mathematically such description are especially sensible to parameters. This work analyze a variation of the SIR model when applied to a epidemic scenario including several aspects, as constant vaccination, pulse vaccination, seasonality, cross-immunity factor, birth and dead rate. The analysis and results are performed through numerical solutions of the model and a special attention is given to the discussion generated by the paramenters variation.
Research Interests:
Broadly speaking, models are representations of something concrete or not. In science, models have always a purpose related to understanding and explaining phenomena. This requires focus and selecting what to represent and what not to... more
Broadly speaking, models are representations of something concrete or not. In science, models have always a purpose related to understanding and explaining phenomena. This requires focus and selecting what to represent and what not to represent and how to represent, among other things. Thus, a side effect of developing the scientific method is the development of a well-structured modelling paradigm. Starting from phenomena and objects, I discuss many decision-abstraction steps in the modelling process that leads to models of phenomena expressed mathematically or computationally, highlighting underlining contexts and procedures. This discourse is undertaken centred on a cross- and trans-disciplinary system science perspective. It grounds on a personal perspective and may be considered as a model of the modelling process.
Research Interests:
Research Interests:
Mathematical models can be widely found in the literature describing epidemics. The epidemical models that use differential equations to represent mathematically such description are especially sensible to parameters. This work analyze a... more
Mathematical models can be widely found in the literature describing epidemics. The epidemical models that use differential equations to represent mathematically such description are especially sensible to parameters. This work analyze a variation of the SIR model when applied to a epidemic scenario including several aspects, as constant vaccination, pulse vaccination, seasonality, cross-immunity factor, birth and dead rate. The analysis and results are performed through numerical solutions of the model and a special attention is given to the discussion generated by the paramenters variation.
Research Interests:
Research Interests:
Warren Weaver, writing about the function that science should have in mankind’s developing future, ideas and ideals, proposed to classify scientific problems into ‘problems of simplicity’, ‘problems of disorganised... more
Warren Weaver, writing about the function that science should have in mankind’s developing future, ideas and ideals, proposed to classify scientific problems into ‘problems of simplicity’, ‘problems of disorganised complexity’, and ‘problems of organised complexity’ — the huge complementary class to which all biological, human, and social problems belong. Problems of simplicity have few components and variables and have been extensively addressed in the last 400 years. Problems of disorganised complexity have a huge number of individually erratic components and variables, but possess collective regularities that can be analysed by resourcing to stochastic methods. Yet, problems of organised complexity do not yield easily to classical or statistical treatment since interrelations among phenomenon elements change during its evolution alongside commonly used state variables, affecting behaviour and outcome. Moreover, organisation, the foc...
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A comparative study of equation of state and conductivity for warm dense matter using pulsed-power wire discharges in water Abstract. Epidemics are an extremely important matter of study within the Mathematical Modeling area and can be... more
A comparative study of equation of state and conductivity for warm dense matter using pulsed-power wire discharges in water Abstract. Epidemics are an extremely important matter of study within the Mathematical Modeling area and can be widely found in the literature. Some epidemiological models use differential equations, which are very sensible to parameters, to represent and describe the diseases mathematically. For this work, a variation of the SIR model is discussed and applied to a certain epidemic scenario, wherein vaccination is introduced through two different strategies: constant vaccination and vaccination in pulses. Other epidemiological and population aspects are also considered, such as mortality/natality and infection rates. The analysis and results are performed through numerical solutions of the model and a special attention is given to the discussion generated by the paramenters variation.
Research Interests:
The study of processes associated with vegetation grow is very important to understand the dynamics of flooded ecosystems and their sustainable management. We present a cell-centered individual-based probabilistic model for the dynamics... more
The study of processes associated with vegetation grow is very important to understand the dynamics of flooded ecosystems and their sustainable management. We present a cell-centered individual-based probabilistic model for the dynamics of tree-populations, that is further tailored towards the environmental conditions present in the Amazon floodplains.
ABSTRACT The development of an Environmental Science is strongly connected with the long term observation of wild environmental sys- tems, which are usually situated far from immediate reach. Environmen- tal systems have as basic elements... more
ABSTRACT The development of an Environmental Science is strongly connected with the long term observation of wild environmental sys- tems, which are usually situated far from immediate reach. Environmen- tal systems have as basic elements ecosystems that are difficult to delin- eate since their boundaries and dynamical regime change over time. This paper discusses the concept of environmental probes and their use in in- accessible regions, e.g., remote sites in the Amazon forest. The focus is on their ability to track environmental systems for long periods and produce useful scientific data. A dynamic data scientific approach is essential to our concept due to (a) the remote location of sensors and the the many years span of observation processes, (b) the necessary dynamical cre- ation and adaptation of environmental models to uncover environmental features, and (c) the partial substitution of human abilities concerning maintenance and the identification of novelties.
ABSTRACT The development of an Environmental Science is strongly connected with the long term observation of wild environmental sys- tems, which are usually situated far from immediate reach. Environmen- tal systems have as basic elements... more
ABSTRACT The development of an Environmental Science is strongly connected with the long term observation of wild environmental sys- tems, which are usually situated far from immediate reach. Environmen- tal systems have as basic elements ecosystems that are difficult to delin- eate since their boundaries and dynamical regime change over time. This paper discusses the concept of environmental probes and their use in in- accessible regions, e.g., remote sites in the Amazon forest. The focus is on their ability to track environmental systems for long periods and produce useful scientific data. A dynamic data scientific approach is essential to our concept due to (a) the remote location of sensors and the the many years span of observation processes, (b) the necessary dynamical cre- ation and adaptation of environmental models to uncover environmental features, and (c) the partial substitution of human abilities concerning maintenance and the identification of novelties.
... o Page 6. 62 Maurfcio V. Kritz so that, for any e small enough, we have ... And, as u belongs to the image of F, it also has all the properties that are common to solutions of (2.1), the more relevant of which are included in the... more
... o Page 6. 62 Maurfcio V. Kritz so that, for any e small enough, we have ... And, as u belongs to the image of F, it also has all the properties that are common to solutions of (2.1), the more relevant of which are included in the statement of Theo-rem 1.1. Step (ii). ...
Research Interests:
This document considers the idea of biological organization as an instrument to tame collective aspects of biological phenomena, discusses its adequacy and presents a mathematical model for it. Organizations of both steady and dynamic... more
This document considers the idea of biological organization as an instrument to tame collective aspects of biological phenomena, discusses its adequacy and presents a mathematical model for it. Organizations of both steady and dynamic entities is considered. The emphasis is on the ideas of organization and processes, rather than technical details of the model.
1 Introdução Várias das espécies de madeira que existem na areas alagáveis da floresta amazônica têm grande aceitação no mercado produtivo da região. Além disso, o processo de extração des-sas espécies de madeirá e feito de forma... more
1 Introdução Várias das espécies de madeira que existem na areas alagáveis da floresta amazônica têm grande aceitação no mercado produtivo da região. Além disso, o processo de extração des-sas espécies de madeirá e feito de forma desen-freada e, na maioria das vezes, ilegal. Muitas vezes, a extração de algumas espécies ocorre exclusivamente para transportar outras espécies de madeira. Neste caso, os extrato-res usam as madeiras brancas como balsa para transportar as madeiras pesadas ao longo do rio até Manaus, onde as indústrias de madeira estão concentradas[11]. O alto critério de exigência imposto para corte, extração e registro das espécies seleciona-das, pelo governo ocasionou na substituição dos tipos de madeiras visados pelo mercado produ-tivo. Esses critérios foram impostos numa ten-tativa de estabelecer planos rigorosos de ma-nejo sustentável para a extração de madeiras. Por outro lado, uma característica peculiar da areas alagáveis da floresta amazônicá e o fato de que o pu...
A concept of information designed to handle information conveyed by organizations is introduced. This concept of information may be used at all biological scales: from molecular and intracellular to multi-cellular organisms and human... more
A concept of information designed to handle information conveyed by organizations is introduced. This concept of information may be used at all biological scales: from molecular and intracellular to multi-cellular organisms and human beings, and further on to collectivities, societies and culture. In this short account, two ground concepts, necessary for developing the definition, will also be introduced: whole-part graphs, a model for biological organization, and synexions, their immersion into space-time. This definition of information formalizes perception, observers and interpretation. Some of its elements will be clarified by arguing and explaining why the immersion of whole-part graphs in (the physical) space-time is needed.
This paper presents a working definition for environmental systems that clearly distinguishes them from systems centred in each of the environmental spheres, the biosphere included. It also argues that natural phenomena result from a... more
This paper presents a working definition for environmental systems that clearly distinguishes them from systems centred in each of the environmental spheres, the biosphere included. It also argues that natural phenomena result from a collection of interacting things, their classification in physical, chemical, bio-chemical, biological etc being associated to two factors: the complexity of the organisa- tion in the phenomenological units and the clearness of boundaries in the phenomenon. Based on this definition and these arguments, it discusses some distinctive characteristics of environmental phenomena and how to define environmental states in such a way as to include these special characteristics.
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I present here some issues about multi-disciplinary scientific activi-ties that recurrently bring disagreement and misunderstanding, as seeds for reflection. These observations are the consequence of several years of observation and... more
I present here some issues about multi-disciplinary scientific activi-ties that recurrently bring disagreement and misunderstanding, as seeds for reflection. These observations are the consequence of several years of observation and participation on multi-disciplinary scientific efforts. They were initially written for a circulation restricted to members of the BIOMAT Consortium. The strong connections of these observation with discussions about our doctoral program on computational modeling and with problems concerning the GEOMA project, as well as, the incentive of several colleagues, made me de-ploy it as a P&D Report.
Grounded on a partial model for a quite controlled situation of timber exploitation at the Mamiraua ́ Reserve, we discuss the importance of adopting integrated views and models and not just valuation procedures, while studying... more
Grounded on a partial model for a quite controlled situation of timber exploitation at the Mamiraua ́ Reserve, we discuss the importance of adopting integrated views and models and not just valuation procedures, while studying sustainability issues involving very complex ecosystems. We propose a framework based on game theory to support integrating the descriptions of the various system intervening in the presently studied case, without changing well established perspectives.
Research Interests:
A concept of information designed to handle information conveyed by organizations is introduced. This concept of information may be used at all biological scales: from molecular and intracellular to multi-cellular organisms and human... more
A concept of information designed to handle information conveyed by organizations is introduced. This concept of information may be used at all biological scales: from molecular and intracellular to multi-cellular organisms and human beings, and further on to collectivities, societies and culture. In this short account, two ground concepts necessary for developing the definition will also be introduced: whole-part graphs, a model for biological organization, and synexions, their immersion into space-time. This definition of information formalizes perception, observers and interpretation; allowing for considering information-exchange as a basic form of biological interaction. Some of its elements will be clarified by arguing and explaining why the immersion of whole-part graphs in (the physical) space-time is needed.