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Statistical mechanics is one of the most powerful and elegant tools in the quantitative sciences. One key virtue of statistical mechanics is that it is designed to examine large systems with many interacting degrees of freedom, providing a…

Quantitative Methods · Quantitative Biology 2007-08-15 Hernan G. Garcia , Jané Kondev , Nigel Orme , Julie A. Theriot , Rob Phillips

The physical interpretation of the functioning of the adaptive immune system, which has been thoroughly characterized on genetic and molecular levels, provides a unique opportunity to define an adaptive self-organizing biological system in…

Molecular Networks · Quantitative Biology 2023-05-19 Jozsef Prechl

In this work we adopt a statistical mechanics approach to investigate basic, systemic features exhibited by adaptive immune systems. The lymphocyte network made by B-cells and T-cells is modeled by a bipartite spin-glass, where, following…

Cell Behavior · Quantitative Biology 2015-06-04 Elena Agliari , Adriano Barra , Silvia Bartolucci , Andrea Galluzzi , Francesco Guerra , Francesco Moauro

The science of complex networks is a new interdisciplinary branch of science which has arisen recently on the interface of physics, biology, social and computer sciences, and others. Its main goal is to discover general laws governing the…

Statistical Mechanics · Physics 2007-05-23 B. Waclaw

This paper extends my research applying statistical decision theory to treatment choice with sample data, using maximum regret to evaluate the performance of treatment rules. The specific new contribution is to study as-if optimization…

Econometrics · Economics 2021-10-05 Charles F. Manski

Probabilistic modeling is fundamental to the statistical analysis of complex data. In addition to forming a coherent description of the data-generating process, probabilistic models enable parameter inference about given data sets. This…

Populations and Evolution · Quantitative Biology 2018-05-01 Branden J. Olson , Frederick A. Matsen

Adaptive humoral immunity, from the physical perspective, can be regarded as the self-organization of the binding energy landscape of antibodies. In biological terms, the humoral immune system evolves and adapts its repertoire of antigen…

Other Quantitative Biology · Quantitative Biology 2025-09-15 Jozsef Prechl

Adaptive experiments are used extensively in online platforms, healthcare and biotechnology, and a variety of other settings. In many of these applications, the main goal is not to precisely estimate a treatment effect, but to demonstrate…

Statistics Theory · Mathematics 2026-03-10 Guido Imbens , Lorenzo Masoero , Alexander Rakhlin , Thomas S. Richardson , Suhas Vijaykumar

Several authors, including the American Statistician (ASA), have noted the challenges facing statisticians when attacking large, complex, unstructured problems, as opposed to well-defined textbook problems. Clearly, the standard paradigm of…

Other Statistics · Statistics 2015-11-20 Roger W. Hoerl , Ronald D. Snee

In this work we review some recent development in the mathematical modelling of quantitative sociology by means of statistical mechanics. After a short pedagogical introduction to static and dynamic properties of many body systems, we…

Physics and Society · Physics 2009-10-15 Elena Agliari , Adriano Barra , Raffaella Burioni , Pierluigi Contucci

We argue that immune system is an adaptive complex system. It is shown that it has emergent properties. Its network structure is of the small world network type. The network is of the threshold type, which helps in avoiding autoimmunity. It…

Populations and Evolution · Quantitative Biology 2008-01-08 E. Ahmed , A. H. Hashish

The adaptive immune system is a dynamical, self-organized multiscale system that protects vertebrates from both pathogens and internal irregularities, such as tumours. For these reason it fascinates physicists, yet the multitude of…

Quantitative Methods · Quantitative Biology 2020-11-20 Grégoire Altan-Bonnet , Thierry Mora , Aleksandra M. Walczak

Networks effectively capture interactions among components of complex systems, and have thus become a mainstay in many scientific disciplines. Growing evidence, especially from biology, suggest that networks undergo changes over time, and…

Methodology · Statistics 2020-03-10 Ali Shojaie

An interesting inference drawn by some Covid-19 epidemiological models is that there exists a proportion of the population who are not susceptible to infection -- even at the start of the current pandemic. This paper introduces a model of…

Quantitative Methods · Quantitative Biology 2020-09-18 Thomas Parr , Anjali Bhat , Peter Zeidman , Aimee Goel , Alexander J. Billig , Rosalyn Moran , Karl J. Friston

Protein aggregation is an important field of investigation because it is closely related to the problem of neurodegenerative diseases, to the development of biomaterials, and to the growth of cellular structures such as cyto-skeleton.…

Statistical Mechanics · Physics 2013-08-27 John S. Schreck , Jian-Min Yuan

We develop a stochastic model to study the specific response of the immune system. The model is based on the dynamical interaction between Regulatory and Effector CD4+ T cells in the presence of Antigen Presenting Cells inside a lymphatic…

Cell Behavior · Quantitative Biology 2011-04-29 Nuris Figueroa-Morales , Kalet León , Roberto Mulet

We propose a statistical mechanics approach to a coevolving spin system with an adaptive network of interactions. The dynamics of node states and network connections is driven by both spin configuration and network topology. We consider a…

Physics and Society · Physics 2018-10-03 Tomasz Raducha , Mateusz Wiliński , Tomasz Gubiec , H. Eugene Stanley

Statistical boosting algorithms have triggered a lot of research during the last decade. They combine a powerful machine-learning approach with classical statistical modelling, offering various practical advantages like automated variable…

We review the statistical mechanics approach to the study of the emerging collective behavior of systems of heterogeneous interacting agents. The general framework is presented through examples is such contexts as ecosystem dynamics and…

Physics and Society · Physics 2007-05-23 Andrea De Martino , Matteo Marsili

Recently, it has been recognized that phase transitions play an important role in the probabilistic analysis of combinatorial optimization problems. However, there are in fact many other relations that lead to close ties between computer…

Statistical Mechanics · Physics 2007-05-23 O. C. Martin , R. Monasson , R. Zecchina
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