Results 131 to 140 of about 722 (143)

Modulating the dynamics of a mathematical model of an electrosensory neuron by the membrane capacitance

, 2021
In a previous study, the electrical activity of electrosensory neurons from a weakly electric fish was described by the ghostbursting model, which was constructed on the basis of the Hodgkin-Huxley formalism.
T. Shirahata
semanticscholar   +1 more source

Membrane capacitance can modulate the regularity of bursting in a mathematical model of snail neurons

, 2020
The present study investigates the dynamics of a mathematical model that describes the electrical activity of a snail RPa1 neuron. The model is described by a system of nonlinear ordinary differential equations.
T. Shirahata
semanticscholar   +1 more source

The transition from a periodic spiking state to a periodic bursting state via a chaotic bursting state: a numerical study of a dynamical system in neurobiophysics

, 2020
In the present study, a numerical simulation of a specific nonlinear dynamical system in neurobiophysics, namely, a mathematical model describing the dynamics of the membrane potential of snail RPa1 neurons was conducted.
T. Shirahata
semanticscholar   +1 more source

The relationship between mixed-mode oscillation and the kinetics of potassium conductances in a mathematical model of vibrissa motoneurons

Advanced Studies in Theoretical Physics, 2022
A mathematical model of vibrissa motoneurons (vMNs) is described by a system of ordinary nonlinear differential equations, based on the Hodgkin–Huxley concept, in a previous study.
T. Shirahata
semanticscholar   +1 more source

Stability of a discrete-time predator-prey system with Allee effect

, 2016
The stability of a discrete-time predator-prey system with and without Allee effect is investigated in this paper. By analyzing both systems, we first obtain local stability conditions of the fixed points without the Allee effect and then exhibit the ...
Ming Zhao, Yunfei Du
semanticscholar   +1 more source

Design and Analysis of Infectious Disease Studies

Oberwolfach Reports, 2019
This was the fifth workshop on mathematical and statistical methods on the transmission of infectious diseases. Building on epidemiologic models which were the subject of earlier workshops, this workshop concentrated on disentangling who infected whom by
M. Eichner, M. E. Halloran, P. O’Neill
semanticscholar   +1 more source

The relationship between burst regularity and spike-generating sodium conductance in a mathematical model of snail RPa1 neurons

, 2018
A previously reported mathematical model of snail RPa1 neurons comprises a system of nonlinear ordinary differential equations. This study focuses on the gNa(TTX) parameter of this model that describes the spike-generating sodium conductance and performs
T. Shirahata
semanticscholar   +1 more source

The Impact of Imperfect Vaccination on Infectious Disease Transmission in an Age-Structured Population

International Journal of Applied Mathematics and Simulation
In this paper, we consider the influence of imperfect vaccination on the spread of infectious diseases in an age-structured population. The benefits of vaccination, even if not perfect, generally outweigh the risks of severe diseases.
Fatima Zohra Hathout, T. Touaoula
semanticscholar   +1 more source

A mathematical model to assess the effect of the constant release policy on population suppression

, 2017
In this paper, we developed a mathematical model to assess the effect of the constant release policy on population suppression. We found a threshold value of the number of infected males released to guarantee the successful population suppression, above ...
Bo Zheng, Yugeng Xiao
semanticscholar   +1 more source

Mathematical model of proportional release on population suppression

, 2018
To study the effects of the ratio of Wolbachia infected males to the wild males on population suppression strategy, we formulate a mathematical model based on systems of differential equations.
Bo Zheng, Yantao Shi, M. Huang
semanticscholar   +1 more source