Stochastic Reaction Networks Within Interacting Compartments
Bull Math Biol. 2023 Aug 25;85(10):87. doi: 10.1007/s11538-023-01185-w.ABSTRACTStochastic reaction networks, which are usually modeled as continuous-time Markov chains on [Formula: see text], and simulated via a version of the "Gillespie algorithm," have proven to be a useful tool for the understanding of processes, chemical and otherwise, in homogeneous environments. There are multiple avenues for generalizing away from the assumption that the environment is homogeneous, with the proper modeling choice dependent upon the context of the problem being considered. One such generalization was recently introduced in Duso and Z...
Source: Bulletin of Mathematical Biology - August 25, 2023 Category: Bioinformatics Authors: David F Anderson Aidan S Howells Source Type: research
The Influence of Nucleus Mechanics in Modelling Adhesion-independent Cell Migration in Structured and Confined Environments
Bull Math Biol. 2023 Aug 25;85(10):88. doi: 10.1007/s11538-023-01187-8.ABSTRACTRecent biological experiments (Lämmermann et al. in Nature 453(7191):51-55, 2008; Reversat et al. in Nature 7813:582-585, 2020; Balzer et al. in ASEB J Off Publ Fed Am Soc Exp Biol 26(10):4045-4056, 2012) have shown that certain types of cells are able to move in structured and confined environments even without the activation of focal adhesion. Focusing on this particular phenomenon and based on previous works (Jankowiak et al. in Math Models Methods Appl Sci 30(03):513-537, 2020), we derive a novel two-dimensional mechanical model, which reli...
Source: Bulletin of Mathematical Biology - August 25, 2023 Category: Bioinformatics Authors: Chiara Giverso Gaspard Jankowiak Luigi Preziosi Christian Schmeiser Source Type: research
Intermittent Precipitation-Dependent Interactions, Encompassing Allee Effect, May Yield Vegetation Patterns in a Transitional Parameter Range
Bull Math Biol. 2023 Aug 18;85(10):86. doi: 10.1007/s11538-023-01191-y.ABSTRACTWe construct a spatial model that incorporates Allee-type and competition interactions for vegetation as an evolving random field of biomass density. The cumulative effect of close-range precipitation-dependent interactions is controlled by a parameter defining precipitation frequency. We identify a narrow parameter range in which the behavior of the system changes from survival of vegetation to extinction, via a transitional aggregation pattern. The aggregation pattern is tied to the initial configuration and appears to arise differently from T...
Source: Bulletin of Mathematical Biology - August 18, 2023 Category: Bioinformatics Authors: Luis F Gordillo Priscilla E Greenwood Source Type: research
Intermittent Precipitation-Dependent Interactions, Encompassing Allee Effect, May Yield Vegetation Patterns in a Transitional Parameter Range
Bull Math Biol. 2023 Aug 18;85(10):86. doi: 10.1007/s11538-023-01191-y.ABSTRACTWe construct a spatial model that incorporates Allee-type and competition interactions for vegetation as an evolving random field of biomass density. The cumulative effect of close-range precipitation-dependent interactions is controlled by a parameter defining precipitation frequency. We identify a narrow parameter range in which the behavior of the system changes from survival of vegetation to extinction, via a transitional aggregation pattern. The aggregation pattern is tied to the initial configuration and appears to arise differently from T...
Source: Bulletin of Mathematical Biology - August 18, 2023 Category: Bioinformatics Authors: Luis F Gordillo Priscilla E Greenwood Source Type: research
Intermittent Precipitation-Dependent Interactions, Encompassing Allee Effect, May Yield Vegetation Patterns in a Transitional Parameter Range
Bull Math Biol. 2023 Aug 18;85(10):86. doi: 10.1007/s11538-023-01191-y.ABSTRACTWe construct a spatial model that incorporates Allee-type and competition interactions for vegetation as an evolving random field of biomass density. The cumulative effect of close-range precipitation-dependent interactions is controlled by a parameter defining precipitation frequency. We identify a narrow parameter range in which the behavior of the system changes from survival of vegetation to extinction, via a transitional aggregation pattern. The aggregation pattern is tied to the initial configuration and appears to arise differently from T...
Source: Bulletin of Mathematical Biology - August 18, 2023 Category: Bioinformatics Authors: Luis F Gordillo Priscilla E Greenwood Source Type: research
