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Biology subjects

Ratajczyk, E.

Publications and source records attributed to Ratajczyk, E..

2 recordsLinked to original sources

Non-equilibrium remodelling of collagen-IV networks in silico

Collagen IV is one of the main components of the basement membrane, a layer of material that lines the majority of tissues in multicellular organisms. Collagen-IV molecules assemble into networks, providing stiffness and elasticity to tissues and informing cell and organ shape, especially during development. In this work, we develop two coarse grained models for collagen-IV molecules that retain biochemical bond specificity and coarse-grain at different length scales. Through molecular dynamics simulations, we test the assembly and mechanics of the resulting networks and measure their response to strain in terms of stress, microscopic alignment, and bond dynamics. Within the basement membrane, collagen-IV networks rearrange by molecule turnover, which affects tissue organisation and can be linked with enzyme activity. Here we explore network rearrangements via bond remodelling -- the process of dynamical breaking and remaking of bonds between network molecules. We then investigate the effects of active (enzymatic) bond remodelling. We find that this non-equilibrium remodelling allows a network to keep its integrity under strain, while relaxing fully over a variety of timescales - a dynamic response that is unavailable to networks undergoing equilibrium remodelling.

biophysics↗

Moran Process Version of the Tug-of-War Model: Complex Behavior Revealed by Mathematical Analysis and Simulation Studies

AO_SCPLOWBSTRACTC_SCPLOWIn a series of publications McFarland and co-authors introduced the tug-of-war model of evolution of cancer cell populations. The model is explaining the joint effect of rare advantageous and frequent slightly deleterious mutations, which may be identifiable with driver and passenger mutations in cancer. In this paper, we put the Tug-of-War model in the framework of a denumerable-type Moran process and use mathematics and simulations to understand its behavior. The model is associated with a time-continuous Markov Chain (MC), with a generator that can be split into a sum of the drift and selection process part and of the mutation process part. Operator semigroup theory is then employed to prove that the MC does not explode, as well as to characterize a strong-drift limit version of the MC which displays "instant fixation" effect, which was an assumption in the original McFarlands model. Mathematical results are fully confirmed by simulations of the complete and limit versions. They also visualize complex stochastic transients and genealogies of clones arising in the model.

evolutionary biology↗