Topological entropy of transitive dendrite maps [PDF]
We show that every dendrite satisfying the condition that no subtree of it contains all free arcs admits a transitive, even exactly Devaney chaotic map with arbitrarily small entropy. This gives a partial answer to a question of Baldwin from 2001.Comment:
Špitalský, Vladimír
core +1 more source
Metrics and spectral triples for Dirichlet and resistance forms [PDF]
The article deals with intrinsic metrics, Dirac operators and spectral triples induced by regular Dirichlet and resistance forms. We show, in particular, that if a local resistance form is given and the space is compact in resistance metric, then the ...
Hinz, Michael +2 more
core +1 more source
Branching dendrites with resonant membrane: a “sum-over-trips” approach [PDF]
Dendrites form the major components of neurons. They are complex branching structures that receive and process thousands of synaptic inputs from other neurons.
A Mauro +37 more
core +3 more sources
Defining a standard and weighted mathematical index for maturation of dendritic cells [PDF]
SummaryThe concept of dendritic cell (DC) maturation generally refers to the changes in morphology and function of DCs. Conventionally, DC maturity is based on three criteria: loss of endocytic ability, gain of high‐level capacity to present antigens and induce proliferation of T cells, and mobility of DCs toward high concentrations of CCL19 ...
Abdolamir Landi +4 more
openaire +2 more sources
Dissociation of HIV-1 from follicular dendritic cells during HAART: Mathematical analysis [PDF]
Follicular dendritic cells (FDC) provide a reservoir for HIV type 1 (HIV-1) that may reignite infection if highly active antiretroviral therapy (HAART) is withdrawn before virus on FDC is cleared. To estimate the treatment time required to eliminate HIV-1 on FDC, we develop deterministic and stochastic models for the reversible binding of HIV-1 to FDC ...
Hlavacek, William S. +2 more
openaire +3 more sources
Dendritic Signals Command Firing Dynamics in a Mathematical Model of Cerebellar Purkinje Cells [PDF]
Dendrites of cerebellar Purkinje cells (PCs) respond to brief excitations from parallel fibers with lasting plateau depolarizations. It is unknown whether these plateaus are local events that boost the synaptic signals or they propagate to the soma and directly take part in setting the cell firing dynamics.
Genet, Stéphane +4 more
openaire +4 more sources
The formation of freckles in binary alloys [PDF]
This paper presents a synopsis of some recent work, still in progress, aimed at elucidating a quantitative explanation of the processes by which flow chimneys form when certain types of alloys are directionally solidified. If (for example) light fluid is
Fowler, A. C.
core +2 more sources
Mathematical study of a nonlinear neuron multi-dendritic model [PDF]
A mathematical model of potential spreading along neuron dendrites is proposed to describe the synaptic transmissions in the so-called cerebellar granule cells, which consist of a nearly spherical soma emitting a finite number of dendrites. The model accounts for the nonlinear dependence of the NMDA receptors, located at the virtual ends of any ...
openaire +2 more sources
A fully implicit, fully adaptive time and space discretisation method for phase-field simulation of binary alloy solidification [PDF]
A fully-implicit numerical method based upon adaptively refined meshes for the simulation of binary alloy solidification in 2D is presented. In addition we combine a second-order fully-implicit time discretisation scheme with variable steps size ...
Jimack, P.K., Mullis, A., Rosam, J.
core +1 more source
A Mathematical Modelling of Initiation of Dendritic Cells-Induced T Cell Immune Response [PDF]
Dendritic cells (DCs) are the most potent specialized antigen-presenting cells as now known, which play a crucial role in initiating and amplifying both the innate and adaptive immune responses. Immunologically, the motilities and T cell activation capabilities of DCs are closely related to the resulting immune responses. However, due to the complexity
Huang, Wen-zhu +14 more
openaire +2 more sources

