We investigate the existence of oscillatory dynamics and multiple steady-state flow rates in a network with a simple topology and in vivo microvascular blood flow constitutive laws. Unlike many previous analytic studies, we employ the most biologically relevant models of the physical properties of whole blood. Through a combination of analytic and numeric techniques, we predict in a series of two-parameter bifurcation diagrams a range of dynamical behaviors, including multiple equilibria flow configurations, simple oscillations in volumetric flow rate, and multiple coexistent limit cycles at physically realizable parameters. We show that complexity in network topology is not necessary for complex behaviors to arise and that nonlinear rheology, in particular the plasma skimming effect, is sufficient to support oscillatory dynamics similar to those observed in vivo.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1007/s11538-015-0089-1 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Key Structural Features of Microvascular Networks Leading to the Formation of Multiple Equilibria.
Bull Math Biol
January 2025
Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Woodstock Rd, Oxford, Oxfordshire, OX2 6GG, UK.
We analyse mathematical models of blood flow in two simple vascular networks in order to identify structural features that lead to the formation of multiple equilibria. Our models are based on existing rules for blood rheology and haematocrit splitting. By performing bifurcation analysis on these simple network flow models, we identify a link between the changing flow direction in key vessels and the existence of multiple equilibria.
View Article and Find Full Text PDFRegional consensus of switched positive multi-agent systems with multiple equilibria.
Sci Rep
January 2025
School of Information and Communication Engineering, Hainan University, Haikou, 570228, China.
This paper investigates regional proportional-integral-derivative consensus of switched positive multi-agent systems with multiple equilibria. A distributed proportional-integral-derivative control protocol is developed by integrating the communication protocol, agent state, and consensus error. A novel switched positive consensus error system is established and analyzed using copositive Lyapunov functions.
View Article and Find Full Text PDFIntracellular Pocket Conformations Determine Signaling Efficacy through the μ Opioid Receptor.
J Chem Inf Model
January 2025
Department of Chemistry, Illinois Institute of Technology, Chicago, Illinois 60616, United States.
It has been challenging to determine how a ligand that binds to a receptor activates downstream signaling pathways and to predict the strength of signaling. The challenge is compounded by functional selectivity, in which a single ligand binding to a single receptor can activate multiple signaling pathways at different levels. Spectroscopic studies show that in the largest class of cell surface receptors, 7 transmembrane receptors (7TMRs), activation is associated with ligand-induced shifts in the equilibria of intracellular pocket conformations in the absence of transducer proteins.
View Article and Find Full Text PDFExploration of Bogdanov-Takens and Hopf bifurcation through coupling of nonlinear recovery with multiple reinfections of COVID-19.
Chaos
January 2025
Department of Mathematics, National Institute of Technology Silchar, Silchar, Assam 788010, India.
This study introduces a five-compartment model to account for the impacts of vaccination-induced recovery and nonlinear treatment rates in settings with limited hospital capacity. To reflect real-world scenarios, the model incorporates multiple reinfections in both vaccinated and recovered groups. It reveals a range of dynamics, including a disease-free equilibrium and up to six endemic equilibria.
View Article and Find Full Text PDFPseudo-Phosphorylated Tau Forms Paired Helical Filaments in the Presence of High-Curvature Cholesterol-Containing Lipid Membranes.
J Am Chem Soc
January 2025
Department of Chemistry, Massachusetts Institute of Technology, 170 Albany Street, Cambridge, Massachusetts 02139, United States.
The tau protein misfolds in neurodegenerative diseases such as Alzheimer's disease (AD). These pathological tau aggregates are associated with neuronal membranes, but molecular structural information about how disease-like tau fibrils interact with the lipid membrane is scarce. Here, we use solid-state NMR to investigate the structure of a tau construct bearing four AD-relevant phospho-mimetic mutations (4E tau) with cholesterol-containing high-curvature lipid membranes, which mimic the membrane of synaptic vesicles in neurons.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!