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We consider the time evolution of the supercritical Galton-Watson model of branching particles with extra parameter (mass). In the moment of the division the mass of the particle (which is growing linearly after the birth) is divided in…

Probability · Mathematics 2018-08-20 Gregory Derfel , Yaqin Feng , Stanislav Molchanov

We consider a discrete-time host-parasite model for a population of cells which are colonized by proliferating parasites. The cell population grows like an ordinary Galton-Watson process, but in reflection of real biological settings the…

Probability · Mathematics 2015-05-18 Gerold Alsmeyer , Sören Gröttrup

When setting up field experiments, to test and compare a range of genotypes (e.g. maize hybrids), it is important to account for any possible field effect that may otherwise bias performance estimates of genotypes. To do so, we propose a…

Neural and Evolutionary Computing · Computer Science 2019-07-23 Vitaliy Feoktistov , Stephane Pietravalle , Nicolas Heslot

To establish the relationship between locomotory behavior and dynamics of neural circuits in the nematode C. elegans we combined molecular and theoretical approaches. In particular, we quantitatively analyzed the motion of C. elegans with…

Neurons and Cognition · Quantitative Biology 2008-06-10 Jan Karbowski , Gary Schindelman , Chris J. Cronin , Adeline Seah , Paul W. Sternberg

Limbless locomotors, from microscopic worms to macroscopic snakes, traverse complex, heterogeneous natural environments typically using undulatory body wave propagation. Theoretical and robophysical models typically emphasize body…

The survival and proliferation of cells and organisms require a highly coordinated allocation of cellular resources to ensure the efficient synthesis of cellular components. In particular, the total enzymatic capacity for cellular…

Molecular Networks · Quantitative Biology 2013-12-11 Stefan Müller , Georg Regensburger , Ralf Steuer

The spread of a particular trait in a cell population often is modelled by an appropriate system of ordinary differential equations describing how the sizes of subpopulations of the cells with the same genome change in time. On the other…

Dynamical Systems · Mathematics 2016-05-26 J. Banasiak , A. Falkiewicz

In multi-cellular organisms, cells differentiate into multiple types as they divide. States of these cell types, as well as their numbers, are known to be robust to external perturbations; as conceptualized by Waddington's epigenetic…

Biological Physics · Physics 2026-01-21 Davey Plugers , Kunihiko Kaneko

Reduced motor control is one of the most frequent features associated with aging and disease. Nonlinear and fractal analyses have proved to be useful in investigating human physiological alterations with age and disease. Similar findings…

Quantitative Methods · Quantitative Biology 2017-09-06 Luiz G. A. Alves , Peter B. Winter , Leonardo N. Ferreira , Renée M. Brielmann , Richard I. Morimoto , Luís A. N. Amaral

Rapid advance of experimental techniques provides an unprecedented in-depth view into complex developmental processes. Still, little is known on how the complexity of multicellular organisms evolved by elaborating developmental programs and…

Molecular Networks · Quantitative Biology 2021-07-16 Somya Mani , Tsvi Tlusty

The question of what guides lineage segregation is central to development, where cellular differentiation leads to segregated cell populations destined for specialized functions. Here, using optical tweezers measurements of mouse embryonic…

Organisms move through the world by changing their shape, and here we explore the mapping from shape space to movements in the nematode C. elegans as it crawls on a planar agar surface. We characterize the statistics of the trajectories…

Neurons and Cognition · Quantitative Biology 2016-01-05 Greg J Stephens , Bethany Johnson-Kerner , William Bialek , William S Ryu

To accelerate the development of strategies for cartilage tissue engineering, models are necessary to study the interactions between cellular dynamics and scaffold (SC) porosity. In experiments, cells are seeded in a porous SC where over a…

Tissues and Organs · Quantitative Biology 2018-09-03 Simone Cassani , Sarah D. Olson

We formulate the search for phenomenological models of synaptic plasticity as an optimization problem. We employ Cartesian genetic programming to evolve biologically plausible human-interpretable plasticity rules that allow a given network…

Neural and Evolutionary Computing · Computer Science 2021-02-09 Henrik D. Mettler , Maximilian Schmidt , Walter Senn , Mihai A. Petrovici , Jakob Jordan

Leptogenesis is studied within the seesaw neutrino mass model in a regime where all sterile neutrinos have prompt rather than delayed decays. It is shown that during neutrino thermal production lepton asymmetries are generated in both…

High Energy Physics - Phenomenology · Physics 2007-05-23 Luis Bento

We study a simple model of DNA evolution in a growing population of cells. Each cell contains a nucleotide sequence which randomly mutates at cell division. Cells divide according to a branching process. Following typical parameter values…

Probability · Mathematics 2020-06-05 David Cheek , Tibor Antal

A novel mechanism for sympatric speciation that takes into account complex bio-processes within each individual organism is proposed. According to dynamical systems theory, organisms with identical genotypes can possess differentiated…

Condensed Matter · Physics 2007-05-23 Kunihiko Kaneko , Tetsuya Yomo

Self-organisation of individuals within large collectives occurs throughout biology. Mathematical models can help elucidate the individual-level mechanisms behind these dynamics, but analytical tractability often comes at the cost of…

The emergence and development of cancer is a consequence of the accumulation over time of genomic mutations involving a specific set of genes, which provides the cancer clones with a functional selective advantage. In this work, we model…

Machine Learning · Computer Science 2017-03-10 Daniele Ramazzotti , Marco S. Nobile , Paolo Cazzaniga , Giancarlo Mauri , Marco Antoniotti

Edge intelligence is a scalable solution for analyzing distributed data, but it cannot provide reliable services in large-scale cellular networks unless the inherent aspects of fading and interference are also taken into consideration. In…

Signal Processing · Electrical Eng. & Systems 2025-12-18 Jaume Anguera Peris , Viktoria Fodor
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