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This research gives a thorough examination of an HIV infection model that includes quiescent cells and immune response dynamics in the host. The model, represented by a system of ordinary differential equations, captures the complex…

Populations and Evolution · Quantitative Biology 2025-03-04 Ibrahim Nali , Attila Dénes , Abdessamad Tridane , Xueyong Zhou

A central challenge in the study of protein evolution is the identification of historic amino acid sequence changes responsible for creating novel functions observed in present-day proteins. To address this problem, we developed a new…

Genomics · Quantitative Biology 2014-06-13 Victor Hanson-Smith , Christopher Baker , Alexander Johnson

Mathematical modeling of biological systems is crucial to effectively and efficiently developing treatments for medical conditions that plague humanity. Often, systems of ordinary differential equations are a traditional tool used to…

Classical Analysis and ODEs · Mathematics 2015-09-01 Eric Jones , Peter Roemer , Mrinal Raghupathi , Stephen Pankavich

Proteins work only if folded in their native state, but changes in temperature T and pressure P induce their unfolding. Therefore for each protein there is a stability region (SR) in the T-P thermodynamic plane outside which the biomolecule…

Soft Condensed Matter · Physics 2017-04-12 Valentino Bianco , Neus Pagès Gelabert , Ivan Coluzza , Giancarlo Franzese

In a comment on our manuscript "Strong selection significantly increases epistatic interactions in the long-term evolution of a protein", Dr. Crona challenges our assertion that shared entropy (that is, information) between two residues…

Populations and Evolution · Quantitative Biology 2016-12-07 A. Gupta , C. Adami

The effect of electrostatic interactions on the stretching of DNA is investigated using a simple worm like chain model. In the limit of small force there are large conformational fluctuations which are treated using a self-consistent…

Soft Condensed Matter · Physics 2009-10-31 Namkyung Lee , D. Thirumalai

Electrostatic interaction is the driving force for the encapsulation by virus coat proteins of nanoparticles such as quantum dots, gold particles and magnetic beads for, e.g., imaging and therapeutic purposes. In recent experimental work,…

Biological Physics · Physics 2015-06-11 Hsiang-Ku Lin , Paul van der Schoot , Roya Zandi

The encapsulation of polyanions, whether single-stranded RNAs or synthetic polymers, is primarily driven by attractive electrostatic interactions between the positively charged, structurally disordered RNA-binding domains of virus coat…

Biological Physics · Physics 2025-01-24 Mohammadamin Safdari , Siyu Li , Sanaz Panahandeh , Paul van der Schoot , Roya Zandi

Since the Hadean era of Earth's history, peptides/proteins and RNA have undergone a complex evolutionary trajectory. Originating from simple monomeric units, these molecules evolved abiotically under various biochemical and biophysical…

Biological Physics · Physics 2025-05-06 Michal H. Kolář , Klára Hlouchová

Being HIV-1-PR an essential enzyme in the viral life cycle, its inhibition can control AIDS. Because the folding of single domain proteins, like HIV-1-PR is controlled by local elementary structures (LES, folding units stabilized by…

Biomolecules · Quantitative Biology 2007-05-23 R. A. Broglia , G. Tiana , D. Provasi , F. Simona , L. Sutto , F. Vasile , M. Zanotti

Protein crystallization in vivo provides some fascinating examples of biological self-assembly. Here, we provide a selective survey to show the diversity of functions for which protein crystals are used, and the physical properties of the…

Biomolecules · Quantitative Biology 2007-05-23 Jonathan P. K. Doye , Wilson C. K. Poon

Modern biomedicine is challenged to predict the effects of genetic variation. Systematic functional assays of point mutants of proteins have provided valuable empirical information, but vast regions of sequence space remain unexplored.…

Biomolecules · Quantitative Biology 2017-01-18 Thomas A. Hopf , John B. Ingraham , Frank J. Poelwijk , Michael Springer , Chris Sander , Debora S. Marks

Enzymes are on the front lines of evolution. All living organisms rely on highly efficient, specific enzymes for growth, sustenance, and reproduction; and many diseases are a consequence of a mutation on an enzyme that affects its catalytic…

Molecular Networks · Quantitative Biology 2009-01-07 Nilou Ataie

Despite the importance of a thermodynamically stable structure with a conserved fold for protein function, almost all evolutionary models neglect site-site correlations that arise from physical interactions between neighboring amino acid…

Populations and Evolution · Quantitative Biology 2013-12-04 Andrew J. Bordner , Hans D. Mittelmann

The Anderson metal-insulator transition is a fundamental phenomenon in condensed matter physics, describing the transition from a conducting (metallic) to a non-conducting (insulating) state driven by disorder in a material. At the critical…

Disordered Systems and Neural Networks · Physics 2025-06-04 Eszter Papp , Gabor Vattay

The dynamics of contact pair formation between various hydrophobic residues during folding of a model protein Hp-36 is investigated by Brownian dynamics simulation. Hydropathy scale and non-local helix propensity of amino acids are used to…

Soft Condensed Matter · Physics 2007-05-23 Arnab Mukherjee , Biman Bagchi

It is important to understand how protein folding and evolution influences each other. Several studies based on entropy calculation correlating experimental measurement of residue participation in folding nucleus and sequence conservation…

Biomolecules · Quantitative Biology 2007-05-23 Yan Yuan Tseng , Jie Liang

HIV virus replication is a time-related process that includes several stages. Focusing on the core steps, RNA polymerase II transcripts in an early stage pre-mRNA containing regulator proteins (i.e nef,tat,rev,vif,vpr,vpu), which are…

Genomics · Quantitative Biology 2020-04-03 Miguel Ramos Pascual

Understanding why some cellular components are conserved across species, while others evolve rapidly is a key question of modern biology. Here we demonstrate that in S. cerevisiae proteins organized in cohesive patterns of interactions are…

Genomics · Quantitative Biology 2007-05-23 S. Wuchty , Z. N. Oltvai , A. -L. Barabasi

Objective: The reservoir of human immunodeficiency virus (HIV) latently infected cells is the major obstacle for eradication of acquired immunodeficiency syndrome (AIDS). Due to the noisy environment and multiple influencing factors in the…

Biological Physics · Physics 2024-11-06 Ruiqi Xiong , Yang Su , Ping Ao
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