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A new detailed mathematical model for dynamics of immune response to hepatitis B is proposed, which takes into account contributions from innate and adaptive immune responses, as well as cytokines. Stability analysis of different steady…

Populations and Evolution · Quantitative Biology 2018-05-16 F. Fatehi Chenar , Y. N. Kyrychko , K. B. Blyuss

We discuss the origin of two classes of germinal centers that have been observed during humoral immune responses: Some germinal centers develop very well and give rise to a large number of high affinity antibody producing plasma cells.…

Biological Physics · Physics 2007-05-23 Michael Meyer-Hermann , Tilo Beyer

Antibodies, an essential part of our immune system, develop through an intricate process to bind a wide array of pathogens. This process involves randomly mutating DNA sequences encoding these antibodies to find variants with improved…

Populations and Evolution · Quantitative Biology 2018-09-24 Jean Feng , David A. Shaw , Vladimir N. Minin , Noah Simon , Frederick A. Matsen

Existing approaches to modelling antibody concentration data are mostly based on finite mixture models that rely on the assumption that individuals can be divided into two distinct groups: seronegative and seropositive. Here, we challenge…

Methodology · Statistics 2026-04-20 Emanuele Giorgi , Jonas Wallin

Classical population genetics a priori assigns fitness to alleles without considering molecular or functional properties of proteins that these alleles encode. Here we study population dynamics in a model where fitness can be inferred from…

Biomolecules · Quantitative Biology 2007-05-29 Konstantin Zeldovich , Peiqiu Chen , Eugene Shakhnovich

Molecular phenotypes are important links between genomic information and organismic functions, fitness, and evolution. Complex phenotypes, which are also called quantitative traits, often depend on multiple genomic loci. Their evolution…

Populations and Evolution · Quantitative Biology 2015-06-12 Armita Nourmohammad , Stephan Schiffels , Michael Laessig

We present an SI epidemic model whereby a continuous variable captures variability in proliferative potential and resistance to infection among susceptibles. The occurrence of heritable, spontaneous changes in these phenotype and the…

Populations and Evolution · Quantitative Biology 2021-12-30 Tommaso Lorenzi , Andrea Pugliese , Mattia Sensi , Agnese Zardini

We investigate the selective forces that promote the emergence of modularity in nature. We demonstrate the spontaneous emergence of modularity in a population of individuals that evolve in a changing environment. We show that the level of…

Molecular Networks · Quantitative Biology 2009-11-13 Jiankui He , Jun Sun , Michael W. Deem

We consider the mutual interactions, via cytokine exchanges, among helper lymphocytes, B lymphocytes and killer lymphocytes, and we model them as a unique system by means of a tripartite network. Each part includes all the different clones…

Biological Physics · Physics 2015-03-19 Elena Agliari , Adriano Barra , Francesco Guerra , Francesco Moauro

Population dynamics and evolutionary genetics underly the structure of ecosystems, changing on the same timescale for interacting species with rapid turnover, such as virus (e.g. HIV) and immune response. Thus, an important problem in…

Populations and Evolution · Quantitative Biology 2021-06-17 Cameron J. Browne , Fadoua Yahia

A cornerstone of the classical view of tolerance is the elimination of self-reactive T cells during negative selection in the thymus. However, high-throughput T-cell receptor sequencing data has so far failed to detect substantial…

Populations and Evolution · Quantitative Biology 2023-03-14 Thierry Mora , Aleksandra M. Walczak

A previously established multiscale population genetics model states that fitness can be inferred from the physical properties of proteins under the physiological assumption that a loss of stability by any protein confers the lethal…

Biomolecules · Quantitative Biology 2009-06-03 Peiqiu Chen , Eugene I. Shakhnovich

RNA-based vaccination has been broadly applied in the COVID pandemic. A characteristic of the immunization was fast waning immunity. However, the time scale of this process varied considerable for virus subtypes and among individuals.…

Populations and Evolution · Quantitative Biology 2025-11-10 Juan Magalang , Tyll Krueger , Joerg Galle

An adaptive agent predicting the future state of an environment must weigh trust in new observations against prior experiences. In this light, we propose a view of the adaptive immune system as a dynamic Bayesian machinery that updates its…

Populations and Evolution · Quantitative Biology 2019-05-14 Andreas Mayer , Vijay Balasubramanian , Aleksandra M. Walczak , Thierry Mora

Recent advances in diffusion models have shown remarkable potential for antibody design, yet existing approaches apply uniform generation strategies that cannot adapt to each antigen's unique requirements. Inspired by B cell affinity…

Machine Learning · Computer Science 2025-08-19 Hanqi Feng , Peng Qiu , Mengchun Zhang , Yiran Tao , You Fan , Jingtao Xu , Barnabas Poczos

1. In recent years many studies have investigated the relationships between different aspects of the immune system and ecology in various organisms. Yet, it remains unclear why individuals differ in their ability to mount an immune response…

Populations and Evolution · Quantitative Biology 2013-06-14 Robert Ekblom , Dennis Hasselquist , Stein Are S{\Ae}Ther , Peder Fiske , John Atle K{\Aa}L{\Aa}S , Mats Grahn , Jacob HÖglund

We study a well mixed SIR epidemic model with heterogeneous susceptibility and infectivity, allowing for an arbitrary joint distribution of these traits. Using an exact final size formulation and a branching process approximation for early…

Populations and Evolution · Quantitative Biology 2026-01-06 Mohamed El Khalifi

Molecular phenotypes link genomic information with organismic functions, fitness, and evolution. Quantitative traits are complex phenotypes that depend on multiple genomic loci. In this paper, we study the adaptive evolution of a…

Populations and Evolution · Quantitative Biology 2015-06-19 Torsten Held , Armita Nourmohammad , Michael Lässig

In this work we employ various methods of analysis (unfolding simulations and comparative analysis of structures and sequences of proteomes of thermophilic organisms) to show that organisms can follow two major strategies of thermophilic…

Biomolecules · Quantitative Biology 2007-05-23 Igor N. Berezovsky , Eugene I. Shakhnovich

In this paper, we present a probabilistic analysis of a dynamical particle model for the self-adaptive immune response to cancer, as proposed by the first author in a previous work. The model is motivated by the interplay between immune…

Probability · Mathematics 2025-08-06 Christian Kuehn , Quirin Vogel
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