scholarly journals Analytical solution of Volterra's population model

2010 ◽  
Vol 22 (4) ◽  
pp. 247-250 ◽  
Author(s):  
Syed Tauseef Mohyud-Din ◽  
Ahmet Yıldırım ◽  
Yağmur Gülkanat
Keyword(s):  
Analytical Solution ◽  
Population Model

Modeling Prion Transport in a Tunneling Nanotube

2013 ◽  
Author(s):  
Ivan A. Kuznetsov ◽  
Andrey V. Kuznetsov
Keyword(s):  
Analytical Solution ◽  
Transit Time ◽  
Molecular Motors ◽  
Population Model ◽  
Lateral Diffusion ◽  
Tunneling Nanotube ◽  
Myosin Va ◽  
Dependent Transport ◽  
Endocytic Vesicles

We develop a model for simulating prion transport in a tunneling nanotube (TNT). We simulate the situation when two cells, one of which is infected, are connected by a TNT. We consider two mechanisms of prion transport: lateral diffusion in the TNT membrane and active actin-dependent transport inside endocytic vesicles. Endocytic vesicles are propelled by myosin Va molecular motors. Since the transit time of prions through a TNT is short (several minutes), the two population model developed here assumes that there is no interchange between the two prion populations, and that partitioning between the prion populations is decided by prion loading at the TNT entrance. The split between the two prion populations at the TNT entrance is decided by the degree of loading, which indicates the portion of prions that enter a TNT in endocytic vesicles. An analytical solution describing prion concentrations and fluxes is obtained.

scholarly journals Two-dimensional time fractional-order biological population model and its analytical solution

2014 ◽  
Vol 1 (1) ◽  
pp. 71-76 ◽  
Author(s):  
Vineet K. Srivastava ◽  
Sunil Kumar ◽  
Mukesh K. Awasthi ◽  
Brajesh Kumar Singh
Keyword(s):  
Analytical Solution ◽  
Fractional Order ◽  
Population Model ◽  
Two Dimensional ◽  
Biological Population

Numerical Analysis of the Age-Sex-Structured Population Dynamics Taking into Account Spatial Diffusion

2005 ◽  
Vol 10 (4) ◽  
pp. 365-381 ◽  
Author(s):  
Š. Repšys ◽  
V. Skakauskas
Keyword(s):  
Population Dynamics ◽  
Numerical Analysis ◽  
Population Model ◽  
Local Stability ◽  
Deterministic Model ◽  
Random Mating ◽  
Spatial Diffusion ◽  
Neumann Problems ◽  
Structured Population ◽  
Structured Population Dynamics

We present results of the numerical investigation of the homogenous Dirichlet and Neumann problems to an age-sex-structured population dynamics deterministic model taking into account random mating, female’s pregnancy, and spatial diffusion. We prove the existence of separable solutions to the non-dispersing population model and, by using the numerical experiment, corroborate their local stability.

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