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
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
A Lipid-Structured Model of Atherosclerotic Plaque Macrophages with Lipid-Dependent Kinetics
Bull Math Biol. 2023 Aug 15;85(9):85. doi: 10.1007/s11538-023-01193-w.ABSTRACTAtherosclerotic plaques are fatty growths in artery walls that cause heart attacks and strokes. Plaque formation is driven by macrophages that are recruited to the artery wall. These cells consume and remove blood-derived lipids, such as modified low-density lipoprotein. Ineffective lipid removal, due to macrophage death and other factors, leads to the accumulation of lipid-loaded macrophages and formation of a necrotic lipid core. Experimental observations suggest that macrophage functionality varies with the extent of lipid loading. However, li...
Source: Bulletin of Mathematical Biology - August 15, 2023 Category: Bioinformatics Authors: Michael G Watson Keith L Chambers Mary R Myerscough Source Type: research
A Lipid-Structured Model of Atherosclerotic Plaque Macrophages with Lipid-Dependent Kinetics
Bull Math Biol. 2023 Aug 15;85(9):85. doi: 10.1007/s11538-023-01193-w.ABSTRACTAtherosclerotic plaques are fatty growths in artery walls that cause heart attacks and strokes. Plaque formation is driven by macrophages that are recruited to the artery wall. These cells consume and remove blood-derived lipids, such as modified low-density lipoprotein. Ineffective lipid removal, due to macrophage death and other factors, leads to the accumulation of lipid-loaded macrophages and formation of a necrotic lipid core. Experimental observations suggest that macrophage functionality varies with the extent of lipid loading. However, li...
Source: Bulletin of Mathematical Biology - August 15, 2023 Category: Bioinformatics Authors: Michael G Watson Keith L Chambers Mary R Myerscough Source Type: research
A Lipid-Structured Model of Atherosclerotic Plaque Macrophages with Lipid-Dependent Kinetics
Bull Math Biol. 2023 Aug 15;85(9):85. doi: 10.1007/s11538-023-01193-w.ABSTRACTAtherosclerotic plaques are fatty growths in artery walls that cause heart attacks and strokes. Plaque formation is driven by macrophages that are recruited to the artery wall. These cells consume and remove blood-derived lipids, such as modified low-density lipoprotein. Ineffective lipid removal, due to macrophage death and other factors, leads to the accumulation of lipid-loaded macrophages and formation of a necrotic lipid core. Experimental observations suggest that macrophage functionality varies with the extent of lipid loading. However, li...
Source: Bulletin of Mathematical Biology - August 15, 2023 Category: Bioinformatics Authors: Michael G Watson Keith L Chambers Mary R Myerscough Source Type: research
A Lipid-Structured Model of Atherosclerotic Plaque Macrophages with Lipid-Dependent Kinetics
Bull Math Biol. 2023 Aug 15;85(9):85. doi: 10.1007/s11538-023-01193-w.ABSTRACTAtherosclerotic plaques are fatty growths in artery walls that cause heart attacks and strokes. Plaque formation is driven by macrophages that are recruited to the artery wall. These cells consume and remove blood-derived lipids, such as modified low-density lipoprotein. Ineffective lipid removal, due to macrophage death and other factors, leads to the accumulation of lipid-loaded macrophages and formation of a necrotic lipid core. Experimental observations suggest that macrophage functionality varies with the extent of lipid loading. However, li...
Source: Bulletin of Mathematical Biology - August 15, 2023 Category: Bioinformatics Authors: Michael G Watson Keith L Chambers Mary R Myerscough Source Type: research
Emergent Lag Phase in Flux-Regulation Models of Bacterial Growth
Bull Math Biol. 2023 Aug 14;85(9):84. doi: 10.1007/s11538-023-01189-6.ABSTRACTLag phase is observed in bacterial growth during a sudden change in conditions: growth is inhibited whilst cells adapt to the environment. Bi-phasic, or diauxic growth is commonly exhibited by many species. In the presence of two sugars, cells initially grow by consuming the preferred sugar then undergo a lag phase before resuming growth on the second. Biomass increase is characterised by a diauxic growth curve: exponential growth followed by a period of no growth before a second exponential growth. Recent literature lacks a complete dynamic desc...
Source: Bulletin of Mathematical Biology - August 14, 2023 Category: Bioinformatics Authors: Fiona Bate Yumechris Amekan Dmitri O Pushkin James P J Chong Martin Bees Source Type: research
Reducing Bias and Quantifying Uncertainty in Fluorescence Produced by PCR
We present a new approach for relating nucleic-acid content to fluorescence in a real-time Polymerase Chain Reaction (PCR) assay. By coupling a two-type branching process for PCR with a fluorescence analog of Beer's Law, the approach reduces bias and quantifies uncertainty in fluorescence. As the two-type branching process distinguishes between complementary strands of DNA, it allows for a stoichiometric description of reactions between fluorescent probes and DNA and can capture the initial conditions encountered in assays targeting RNA. Analysis of the expected copy-number identifies additional dynamics that occur at shor...
Source: Bulletin of Mathematical Biology - August 13, 2023 Category: Bioinformatics Authors: Robert F DeJaco Matthew J Roberts Erica L Romsos Peter M Vallone Anthony J Kearsley Source Type: research
Reducing Bias and Quantifying Uncertainty in Fluorescence Produced by PCR
We present a new approach for relating nucleic-acid content to fluorescence in a real-time Polymerase Chain Reaction (PCR) assay. By coupling a two-type branching process for PCR with a fluorescence analog of Beer's Law, the approach reduces bias and quantifies uncertainty in fluorescence. As the two-type branching process distinguishes between complementary strands of DNA, it allows for a stoichiometric description of reactions between fluorescent probes and DNA and can capture the initial conditions encountered in assays targeting RNA. Analysis of the expected copy-number identifies additional dynamics that occur at shor...
Source: Bulletin of Mathematical Biology - August 13, 2023 Category: Bioinformatics Authors: Robert F DeJaco Matthew J Roberts Erica L Romsos Peter M Vallone Anthony J Kearsley Source Type: research
The Potential Roles of Transacylation in Intracellular Lipolysis and Related Qssa Approximations
Bull Math Biol. 2023 Aug 6;85(9):82. doi: 10.1007/s11538-023-01188-7.ABSTRACTFatty acids (FAs) are crucial energy metabolites, signalling molecules, and membrane building blocks for a wide range of organisms. Adipose triglyceride lipase (ATGL) is the first and presumingly most crucial regulator of FA release from triacylglycerols (TGs) stored within cytosolic lipid droplets. However, besides the function of releasing FAs by hydrolysing TGs into diacylglycerols (DGs), ATGL also promotes the transacylation reaction of two DG molecules into one TG and one monoacylglycerol molecule. To date, it is unknown whether DG transacyla...
Source: Bulletin of Mathematical Biology - August 6, 2023 Category: Bioinformatics Authors: J án Eliaš Klemens Fellner Peter Hofer Monika Oberer Renate Schreiber Rudolf Zechner Source Type: research
The Potential Roles of Transacylation in Intracellular Lipolysis and Related Qssa Approximations
Bull Math Biol. 2023 Aug 6;85(9):82. doi: 10.1007/s11538-023-01188-7.ABSTRACTFatty acids (FAs) are crucial energy metabolites, signalling molecules, and membrane building blocks for a wide range of organisms. Adipose triglyceride lipase (ATGL) is the first and presumingly most crucial regulator of FA release from triacylglycerols (TGs) stored within cytosolic lipid droplets. However, besides the function of releasing FAs by hydrolysing TGs into diacylglycerols (DGs), ATGL also promotes the transacylation reaction of two DG molecules into one TG and one monoacylglycerol molecule. To date, it is unknown whether DG transacyla...
Source: Bulletin of Mathematical Biology - August 6, 2023 Category: Bioinformatics Authors: J án Eliaš Klemens Fellner Peter Hofer Monika Oberer Renate Schreiber Rudolf Zechner Source Type: research
The Potential Roles of Transacylation in Intracellular Lipolysis and Related Qssa Approximations
Bull Math Biol. 2023 Aug 6;85(9):82. doi: 10.1007/s11538-023-01188-7.ABSTRACTFatty acids (FAs) are crucial energy metabolites, signalling molecules, and membrane building blocks for a wide range of organisms. Adipose triglyceride lipase (ATGL) is the first and presumingly most crucial regulator of FA release from triacylglycerols (TGs) stored within cytosolic lipid droplets. However, besides the function of releasing FAs by hydrolysing TGs into diacylglycerols (DGs), ATGL also promotes the transacylation reaction of two DG molecules into one TG and one monoacylglycerol molecule. To date, it is unknown whether DG transacyla...
Source: Bulletin of Mathematical Biology - August 6, 2023 Category: Bioinformatics Authors: J án Eliaš Klemens Fellner Peter Hofer Monika Oberer Renate Schreiber Rudolf Zechner Source Type: research
