Scholar iON
Academic Synthesis
This collection of scholarly papers spans diverse fields, yet collectively highlights key themes in the study of complex systems, whether in protein folding, lattice field theory, economic dynamics, or quantum mechanics. Micheletti et al. (2002) offer a novel application of topological models to identify key sites in protein folding, crucial for drug targeting, suggesting that structural bottlenecks in proteins correlate with mutation sites in drug resistance. Bietenholz (2024) delivers a statistical analysis of lattice field theory's evolution, correlating academic output with socio-economic indices, thus providing insight into how scientific productivity might be influenced by broader economic and educational factors. Anteneodo et al. (2001) delve into economic behaviors, using a nonextensive statistical mechanics framework to model risk aversion, revealing how individual risk preferences shape economic outcomes. Lastly, Alekseev (2002) critiques the concept of optimal quantum pumps, questioning their feasibility when constrained by vanishing transmission coefficients, and thus propelling a debate on the practical realization of quantum mechanical principles in device engineering. Collectively, these studies underscore the interdisciplinary impact of theoretical models in addressing complex questions across natural and social sciences.
An exactly solvable model based on the topology of a protein native state is applied to identify bottlenecks and key-sites for the folding of HIV-1 Protease. The predicted sites are found to correlate well with clinical data on resistance to FDA-approved drugs. It has been observed that the effects of drug therapy are to induce multiple mutations on the protease. The sites where such mutations occur correlate well with those involved in folding bottlenecks identified through the deterministic procedure proposed in this study. The high statistical significance of the observed correlations suggests that the approach may be promisingly used in conjunction with traditional techniques to identify candidate locations for drug attacks.
Researchers working in lattice field theory constitute an established community since the early 1990s, and around the same time the online open-access e-print repository arXiv was created. The fact that this field has a specific arXiv section, hep-lat, which is comprehensively used, provides a unique opportunity for a statistical study of its evolution over the last three decades. We present data for the number of entries, $E$, published papers, $P$, and citations, $C$, in total and separated by nations. We compare them to six other arXiv sections (hep-ph, hep-th, gr-qc, nucl-th, quant-ph, cond-mat) and to two socio-economic indices of the nations involved: the Gross Domestic Product (GDP) and the Education Index (EI). We present rankings, which are based either on the Hirsch Index H, or on the linear combination $Ξ£= E + P + 0.05 C$. We consider both extensive and intensive national statistics, i.e. absolute and relative to the population or to the GDP.
Most people are risk-averse (risk-seeking) when they expect to gain (lose). Based on a generalization of ``expected utility theory'' which takes this into account, we introduce an automaton mimicking the dynamics of economic operations. Each operator is characterized by a parameter q which gauges people's attitude under risky choices; this index q is in fact the entropic one which plays a central role in nonextensive statistical mechanics. Different long term patterns of average asset redistribution are observed according to the distribution of parameter q (chosen once for ever for each operator) and the rules (e.g., the probabilities involved in the gamble and the indebtedness restrictions) governing the values that are exchanged in the transactions. Analytical and numerical results are discussed in terms of how the sensitivity to risk affects the dynamics of economic transactions.
In a recent Letter, Avron et. al (math-ph/0105011) introduced a notion of optimal quantum pumps. These are adiabatic quantum pumps which work without dissipation. In particular, they produce neither entropy nor noise. In the present Comment we show that in the absence of magnetic field optimal quantum pumps always have a vanishing transmission coefficient. Such `quantum pumps' do not make use of Quantum Mechanics since all tunneling or interference effects are banned by vanishing of the transmission coefficient. We leave it as an outstanding question whether genuine optimal quantum pumps with nonvanishing transmission coefficient can be constructed by making use of the magnetic field.