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Growth-fragmentation processes describe the evolution of systems of cells which grow continuously and fragment suddenly; they are used in models of cell division and protein polymerisation. Typically, we may expect that in the long run, the…

Probability · Mathematics 2021-01-22 Jean Bertoin , Alexander Watson

All life, including cells and artificial protocells, must integrate diverse molecules into a single unit in order to reproduce. Despite expected pressure to evolve a simple system with the fastest replication speed, the mechanism by which…

Cell Behavior · Quantitative Biology 2014-08-12 Atsushi Kamimura , Kunihiko Kaneko

The energy dissipated by a living organism is commonly identified with heat generation. However, as cells exchange metabolites with their environment they also dissipate energy in the form of chemical entropy. How dissipation is distributed…

Other Quantitative Biology · Quantitative Biology 2025-10-09 Tommaso Cossetto , Jonathan Rodenfels , Pablo Sartori

Cooperation is a persistent behavioral pattern of entities pooling and sharing resources. Its ubiquity in nature poses a conundrum. Whenever two entities cooperate, one must willingly relinquish something of value to the other. Why is this…

Adaptation and Self-Organizing Systems · Physics 2022-05-24 Ole Peters , Alexander Adamou

Due to its implication in cancer treatment, the Warburg Effect has received extensive in silico investigation. Flux Balance Analysis (FBA), based on constrained optimization, was successfully applied in the Warburg Effect modelling. Yet,…

Quantitative Methods · Quantitative Biology 2021-11-25 Yi Zhang , Daniel Boley

Most human tumors result from the accumulation of multiple genetic and epigenetic alterations in a single cell. Mutations that confer a fitness advantage to the cell are known as driver mutations and are causally related to tumorigenesis.…

Probability · Mathematics 2010-07-15 Rick Durrett , Jasmine Foo , Kevin Leder , John Mayberry , Franziska Michor

How multicellular life forms evolved out from unicellular ones constitutes a major problem in our understanding of the evolution of our biosphere. A recent set of experiments involving yeast cell populations has shown that selection for…

Populations and Evolution · Quantitative Biology 2015-11-10 Salva Duran-Nebreda , Ricard V. Solé

The solution space of genome-scale models of cellular metabolism provides a map between physically viable flux configurations and cellular metabolic phenotypes described, at the most basic level, by the corresponding growth rates. By…

Molecular Networks · Quantitative Biology 2016-05-30 Daniele De Martino , Fabrizio Capuani , Andrea De Martino

The composition of cellular metabolism is different across species. Empirical data reveal that bacterial species contain similar numbers of metabolic reactions but that the cross-species popularity of reactions is so heterogenous that some…

Populations and Evolution · Quantitative Biology 2024-01-08 Mi Jin Lee , Deok-Sun Lee

Life and functioning of higher organisms depends on the continuous supply of metabolites to tissues and organs. What are the requirements on the transport network pervading a tissue to provide a uniform supply of nutrients, minerals, or…

Biological Physics · Physics 2018-07-09 Felix J. Meigel , Karen Alim

Any process in which competing solutions replicate with errors and numbers of their copies depend on their respective fitnesses is the evolutionary optimization process. As during carcinogenesis mutated genomes replicate according to their…

Populations and Evolution · Quantitative Biology 2009-12-15 B. Brutovsky , D. Horvath

We study a stochastic model proposed recently in the genetic literature to explain the heterogeneity of cell populations or of gene products. Cells are located in two colonies, whose sizes fluctuate as birth and migration processes in…

Populations and Evolution · Quantitative Biology 2007-05-23 Martin Gander , Christian Mazza , Hansklaus Rummler

Metabolic reactions of single-cell organisms are routinely observed to become dispensable or even incapable of carrying activity under certain circumstances. Yet, the mechanisms as well as the range of conditions and phenotypes associated…

Molecular Networks · Quantitative Biology 2009-01-21 Takashi Nishikawa , Natali Gulbahce , Adilson E. Motter

A simple cell model consisting of a catalytic reaction network with intermediate complex formation is numerically studied. As nutrients are depleted, the transition from the exponential growth phase to the growth-arrested dormant phase…

Cell Behavior · Quantitative Biology 2025-03-12 Jumpei F. Yamagishi , Kunihiko Kaneko

Models of tissue growth are now well established, in particular in relation to their applications to cancer. They describe the dynamics of cells subject to motion resulting from a pressure gradient generated by the death and birth of cells,…

Analysis of PDEs · Mathematics 2018-09-07 Piotr Gwiazda , Benoît Perthame , Agnieszka Świerczewska-Gwiazda

An adult human body is made up of some 30 to 40 trillion cells, all of which stem from a single fertilized egg cell. The process by which the right cells appear to arrive in their right numbers at the right time at the right place --…

Subcellular Processes · Quantitative Biology 2024-12-20 Sean T. Vittadello , Léo Diaz , Yujing Liu , Adriana Zanca , Michael P. H. Stumpf

The ubiquity of modules in biological networks may result from an evolutionary benefit of a modular organization. For instance, modularity may increase the rate of adaptive evolution, because modules can be easily combined into new…

Molecular Networks · Quantitative Biology 2011-08-26 Areejit Samal , Andreas Wagner , Olivier C. Martin

Cell reproduction involves replication of diverse molecule species, in contrast to simple replication system with fewer components. Here, we address why such diversity is sustained despite the efficiency of simple replication systems, using…

Cell Behavior · Quantitative Biology 2016-07-06 Atsushi Kamimura , Kunihiko Kaneko

A classical problem describing the collective motion of cells, is the movement driven by consumption/depletion of a nutrient. Here we analyze one of the simplest such model written as a coupled Partial Differential Equation/Ordinary…

Analysis of PDEs · Mathematics 2022-09-02 Pierre-Emmanuel Jabin , Benoît Perthame

What makes living things special is how they manage matter, energy, and entropy. A general theory of organismal metabolism should therefore be quantified in these three currencies while capturing the unique way they flow between individuals…

Populations and Evolution · Quantitative Biology 2024-08-27 Marko Jusup , Michael R. Kearney