scholarly journals Mathematical Modelling and Numerical Simulations in Nerve Conduction

2015 ◽  
Author(s):  
N. J. Ford ◽  
P. M. Lima ◽  
P. M. Lumb
Keyword(s):  
Mathematical Modelling ◽  
Numerical Simulations ◽  
Nerve Conduction

Mathematical modelling and numerical simulations of actin dynamics in the eukaryotic cell

2012 ◽  
Vol 66 (3) ◽  
pp. 547-593 ◽  
Author(s):  
Uduak Z. George ◽  
Angélique Stéphanou ◽  
Anotida Madzvamuse
Keyword(s):  
Mathematical Modelling ◽  
Numerical Simulations ◽  
Eukaryotic Cell ◽  
Actin Dynamics

Mathematical modelling and numerical simulations of the influence of hygiene and seasons on the spread of cholera

2018 ◽  
Vol 296 ◽  
pp. 60-70 ◽  
Author(s):  
Ezekiel Dangbé ◽  
Damakoa Irépran ◽  
Antoine Perasso ◽  
David Békollé
Keyword(s):  
Mathematical Modelling ◽  
Numerical Simulations

Mathematical Modelling of Malaria with Treatment

2013 ◽  
Vol 5 (06) ◽  
pp. 857-871 ◽  
Author(s):  
Mini Ghosh
Keyword(s):  
Mathematical Modelling ◽  
Numerical Simulations ◽  
Malaria Transmission ◽  
Initial Conditions ◽  
Backward Bifurcation ◽  
Logistic Growth ◽  
Treatment Rate ◽  
Sis Model ◽  
Existence And Stability ◽  
Stable Equilibria

AbstractThis paper proposes a Susceptible-Infective-Susceptible (SIS) model to study the malaria transmission with treatment by considering logistic growth of mosquito population. In this work, it is assumed that the treatment rate is proportional to the number of infectives below the capacity and is constant when the number of infectives is greater than the capacity. We find that the system exhibits backward bifurcation if the capacity is small and it gives bi-stable equilibria which makes the system more sensitive to the initial conditions. The existence and stability of the equilibria of the model are discussed in-detail and numerical simulations are presented to illustrate the numerical results.

scholarly journals Mathematical modelling of microtumour infiltration based on in vitro experiments

2016 ◽  
Vol 8 (8) ◽  
pp. 879-885 ◽  
Author(s):  
Emmanuel Luján ◽  
Liliana N. Guerra ◽  
Alejandro Soba ◽  
Nicolás Visacovsky ◽  
Daniel Gandía ◽  
...  
Keyword(s):  
Mathematical Modelling ◽  
Numerical Simulations ◽  
Collagen Matrix ◽  
In Vitro Experiments ◽  
Shape Functions

Numerical simulations of microtumor growth and infiltration in a collagen matrix based on case-specific or aleatory-generated shape functions.

Mathematical modelling, numerical simulations and experimental verification of bifurcation dynamics of a pendulum driven by a dc motor

2015 ◽  
Vol 36 (5) ◽  
pp. 055028 ◽  
Author(s):  
Marek Kaźmierczak ◽  
Grzegorz Kudra ◽  
Jan Awrejcewicz ◽  
Grzegorz Wasilewski
Keyword(s):  
Mathematical Modelling ◽  
Numerical Simulations ◽  
Experimental Verification ◽  
Dc Motor

scholarly journals Mathematical modelling of plasmonic strain sensors

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Habib Ammari ◽  
Pierre Millien ◽  
Alice L. Vanel
Keyword(s):  
Mathematical Modelling ◽  
Numerical Simulations ◽  
Mathematical Analysis ◽  
Transmission Condition ◽  
Strain Sensors ◽  
Plasmonic Nanoparticles ◽  
Effective Transmission

AbstractWe provide a mathematical analysis for a metasurface constructed of plasmonic nanoparticles mounted periodically on the surface of a microcapsule. We derive an effective transmission condition, which exhibits resonances depending on the inter-particle distance. When the microcapsule is deformed, the resonances are shifted. We fully characterize the dependence of these resonances on the deformation of the microcapsule, enabling the detection of strains at the microscale level. We present numerical simulations to validate our results.

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