Unlimited growth in logarithmic Keller-Segel systems

2022 ◽  
Vol 309 ◽  
pp. 74-97
Author(s):  
Michael Winkler
Keyword(s):  
Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Lars Clausen

PurposeThe paper combines the systems theoretical perspective on the evolution of societal differentiation and the emergence of codes in communication. By combining the approach by Niklas Luhmann with a historical theology on the development of Christian morality split between God and Devil, it recreates a sociological point of observation on contemporary moral forms by a temporary occupation of the retired Christian Devil.Design/methodology/approachThe article combines a Luhmannian systems theoretical perspective on the evolution of societal differentiation with a concept of emerging codes in communication. The latter is based on on the development of a Christian view of morality being split between God and Devil. It establishes a sociological point of observation on contemporary moral forms through the temporary invocation of the retired figure of the Christian Devil.FindingsThe proposed perspective develops a healthy perspective on the exuberant distribution of a health(y) morality across the globe during the pandemic crisis of 2020–21. The temporary invocation of the retired Christian Devil as point of departure in this sociological analysis allows for a disturbing view on the unlimited growth of the morality of health and its inherent dangers of dedifferentiating the highly specialised forms of societal differentiation and organisation.Originality/valueBy applying the diabolical perspective, the analytical framework creates a unique opportunity to observe the moral encodings of semantic forms in detail, while keeping the freedom of scientific enquiry to choose amongst available distinctions in the creation of sound empirical knowledge. This article adopts a neutral stance, for the good of sociological analysis. The applications of the term “evil” to observations of communication are indifferent to anything but itself and its qualities as scientific enquiry.


2003 ◽  
Vol 44 (159) ◽  
pp. 131-146
Author(s):  
Krstan Malesevic

Uncritical fostering of social development within the industrial paradigm often referred to as "unlimited growth", has caused so catastrophic effects that they could argumentatively be described as a real ecocide. This is not only reflected in the total pollution of environment, irrecoverable destruction of natural resources and non-renewable energy sources, but the very existence of elementary biological preconditions for survival of human and other life forms on Earth is endangered. Social development, perceived and applied as mere growth, has favored partial interests on behalf of those of the whole. It has also endorsed interests of present over future generations relying on partial, positivist knowledge against holism humanism and wisdom. These effects have contributed to the new knowledge of the necessity for radical change in dominant development paradigm. An alternative has been found by some authors in the concept of "sustainable development". This concept is based on the idea of adjustment of social growth and development to the natural adaptive capacities. The idea of sustainable development should represent a key for human duration in time and with this a concrete form of responsibility towards future generations. This strategy, now within the ecological paradigm, transcendent partiality of industrial paradigm and offers a uniquely new form for the rationalization of development. At the same time this strategy functions as a new form of ethics (biocentric instead of anthropocentric one) and as a new model for wisdom of living. The concept of sustainable development is also the only operative way for radical and permanent elimination of the deepest causes of ecological crises instead of periodical and partial healing of its consequences.


2021 ◽  
Author(s):  
Talayeh Rad

Architecture is known to be the physical language of community. What define cities are streets, blocks, and buildings, and their interaction defines the neighbourhoods. Cities are poised for unlimited growth (Lefebvre, 2003) and the challenge is to propose a vision for the future growth of already dense neighbourhoods. The research aims to study the evolution of contemporary urbanism, ideas, and theories in order to explore the structure of the existing neighbourhoods and understand the dynamic behind the street patterns and urban blocks. Case studies are investigating the quality and configuration of physical urban form through recent history. The ideas are compared and contrasted to challenge modern and post-modern urban theories in order to propose a new vision for future urban growth. The design project takes into account the importance of urban morphology and typology and their impacts on the identity, diversity and affordability of the neighbourhood.


2021 ◽  
Vol 2 (3) ◽  
pp. 74-98
Author(s):  
Peter Hugo Nelson

ABSTRACT Students develop and test simple kinetic models of the spread of coronavirus disease 2019 (COVID-19) caused by the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) virus. Microsoft Excel is used as the modeling platform because it is nonthreatening to students and it is widely available. Students develop finite difference models and implement them in the cells of preformatted spreadsheets following a guided inquiry pedagogy that introduces new model parameters in a scaffolded step-by-step manner. That approach allows students to investigate the implications of new model parameters in a systematic way. Students fit the resulting models to reported cases per day data for the United States using least squares techniques with Excel's Solver. Using their own spreadsheets, students discover for themselves that the initial exponential growth of COVID-19 can be explained by a simplified unlimited growth model and by the susceptible-infected-recovered (SIR) model. They also discover that the effects of social distancing can be modeled using a Gaussian transition function for the infection rate coefficient and that the summer surge was caused by prematurely relaxing social distancing and then reimposing stricter social distancing. Students then model the effect of vaccinations and validate the resulting susceptible-infected-recovered-vaccinated (SIRV) model by showing that it successfully predicts the reported cases per day data from Thanksgiving through the holiday period up to 14 February 2021. The same SIRV model is then extended and successfully fits the fourth peak up to 1 June 2021, caused by further relaxation of social distancing measures. Finally, students extend the model up to the present day (27 August 2021) and successfully account for the appearance of the delta variant of the SARS-CoV-2 virus. The fitted model also predicts that the delta variant peak will be comparatively short, and the cases per day data should begin to fall off in early September 2021, counter to current expectations. This case study makes an excellent capstone experience for students interested in scientific modeling.


2016 ◽  
Vol 48 (4) ◽  
pp. 972-988 ◽  
Author(s):  
Etienne Adam

AbstractWe give a criterion for unlimited growth with positive probability for a large class of multidimensional stochastic models. As a by-product, we recover the necessary and sufficient conditions for recurrence and transience for critical multitype Galton–Watson with immigration processes and also significantly improve some results on multitype size-dependent Galton–Watson processes.


2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Riska Fara Farucha ◽  
Naupal Asnawi

From environmentalism’s perspective, there are four fundamental assumptions that make capitalism inconsistent with efforts to preserve the environment. First, unlimited growth in the capitalist system is contradicted with limited environmental conditions. Second, the basic principles of capitalism (individual freedom, self-interests, and free-market) are not compatible with efforts to preserve the environment. Third, capitalism has caused a "metabolic rift" between society and the ecosystem. Fourth, the tendency of capitalism that creates consumer society will produce massive pollution. This article is intended to refute these four environmentalism critics and also demonstrate the coherence of the theory of capitalism on environmental preservation. To accomplish this aim, the method of refutation is first used to show the shortcomings of the claim about environmentalism in its critique, then continue with an analytical explanation of the whole theory of capitalism, and conclude with a theoretical elaboration of all these concepts. This paper argues that environmentalism critics are irrelevant because capitalism is actually capable of preserving the environment.


Author(s):  
Konstantinos Andriotis

Abstract This final chapter summarizes the main conclusions of this book on degrowth in tourism, and considers the need to rethink the phenomenon of degrowth as a new development paradigm which attempts to give up the current system of unlimited growth.


Author(s):  
John S. Dryzek

This chapter focuses on the Promethean response to unlimited growth. Discourses do not need conscious articulation. They can be so ingrained and taken-for-granted that it would never occur to anyone to mention them. Such was the case for the environmental discourse which can be styled Promethean. In Greek mythology Prometheus stole fire from Zeus, thus significantly increasing the human capacity to manipulate the world. Prometheans have unlimited confidence in the ability of humans and their technologies to overcome any problem — including environmental problems. The term ‘cornucopian’ is sometimes associated with this denial of environmental limits. After providing a background on the central argument of the Promethean discourse with respect to growth, the chapter considers various criticisms levelled against it. It also explores Promethean environmentalism and the impact of Promethean discourse.


2017 ◽  
Vol 114 (35) ◽  
pp. E7291-E7300 ◽  
Author(s):  
Mariana Muzzopappa ◽  
Lada Murcia ◽  
Marco Milán

Interactions between cells bearing oncogenic mutations and the surrounding microenvironment, and cooperation between clonally distinct cell populations, can contribute to the growth and malignancy of epithelial tumors. The genetic techniques available in Drosophila have contributed to identify important roles of the TNF-α ligand Eiger and mitogenic molecules in mediating these interactions during the early steps of tumor formation. Here we unravel the existence of a tumor-intrinsic—and microenvironment-independent—self-reinforcement mechanism that drives tumor initiation and growth in an Eiger-independent manner. This mechanism relies on cell interactions between two functionally distinct cell populations, and we present evidence that these cell populations are not necessarily genetically different. Tumor-specific and cell-autonomous activation of the tumorigenic JNK stress-activated pathway drives the expression of secreted signaling molecules and growth factors to delaminating cells, which nonautonomously promote proliferative growth of the partially transformed epithelial tissue. We present evidence that cross-feeding interactions between delaminating and nondelaminating cells increase each other’s sizes and that these interactions can explain the unlimited growth potential of these tumors. Our results will open avenues toward our molecular understanding of those social cell interactions with a relevant function in tumor initiation in humans.


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