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89 results

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Page 1
On nonlinear thermo-electro-elasticity.
Mehnert M, Hossain M, Steinmann P. Mehnert M, et al. Proc Math Phys Eng Sci. 2016 Jun;472(2190):20160170. doi: 10.1098/rspa.2016.0170. Proc Math Phys Eng Sci. 2016. PMID: 27436985 Free PMC article.
Electro-active polymers (EAPs) for large actuations are nowadays well-known and promising candidates for producing sensors, actuators and generators. In general, polymeric materials are sensitive to differential temperature histories. During experimental characterizations …
Electro-active polymers (EAPs) for large actuations are nowadays well-known and promising candidates for producing sensors, actuators and ge …
Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver.
Randall EB, Randolph NZ, Olufsen MS. Randall EB, et al. Math Biosci. 2020 Jan;319:108292. doi: 10.1016/j.mbs.2019.108292. Epub 2019 Nov 27. Math Biosci. 2020. PMID: 31785229
Delay differential equations are widely used in mathematical modeling to describe physical and biological systems, often inducing oscillatory behavior. ...Results show that the Hopf bifurcation remains for both the homogeneous and nonhomogeneous systems, whil …
Delay differential equations are widely used in mathematical modeling to describe physical and biological systems, often induc …
Modeling and migration-based control of depopulation.
Márton L. Márton L. Theor Popul Biol. 2022 Dec;148:86-94. doi: 10.1016/j.tpb.2022.11.002. Epub 2022 Nov 13. Theor Popul Biol. 2022. PMID: 36379299 Free article.
The model also includes the effect of spatial interaction-driven migration flows on population size. The resulting model is a non-homogeneous ordinary differential equation. It includes such phenomena that are important from the control point of view, such as the in …
The model also includes the effect of spatial interaction-driven migration flows on population size. The resulting model is a non-homogeneou …
Stochastic representation of processes with resetting.
Magdziarz M, Taźbierski K. Magdziarz M, et al. Phys Rev E. 2022 Jul;106(1-1):014147. doi: 10.1103/PhysRevE.106.014147. Phys Rev E. 2022. PMID: 35974644
It allows to describe any stochastic process intermittently terminated and restarted from a predefined random or nonrandom point. Our approach is based on stochastic differential equations called jump-diffusion models. It allows to analyze processes with resetting b …
It allows to describe any stochastic process intermittently terminated and restarted from a predefined random or nonrandom point. Our approa …
Fractional calculus with exponential memory.
Fu H, Wu GC, Yang G, Huang LL. Fu H, et al. Chaos. 2021 Mar;31(3):031103. doi: 10.1063/5.0043555. Chaos. 2021. PMID: 33810742
Furthermore, some useful properties such as composition relationship of the new fractional integral and Leibniz integral law are provided. Exact solutions of the fractional homogeneous equation and the non-homogeneous equations are given, respectively. Finally, a fi …
Furthermore, some useful properties such as composition relationship of the new fractional integral and Leibniz integral law are provided. E …
Reaction-diffusion models for morphological patterning of hESCs.
Bedekar P, Timofeyev I, Warmflash A, Perepelitsa M. Bedekar P, et al. J Math Biol. 2021 Nov 2;83(5):55. doi: 10.1007/s00285-021-01674-3. J Math Biol. 2021. PMID: 34727234
In the first part of the paper we use the activator-inhibitor equations of Gierer and Meinhardt to identify 3 reaction-diffusion regimes for each of the three morphogenic proteins, BMP4, Wnt and Nodal, based on the characteristic features of the dynamic patterning. ...
In the first part of the paper we use the activator-inhibitor equations of Gierer and Meinhardt to identify 3 reaction-diffusion regi …
A Hybrid Epidemic Model to Explore Stochasticity in COVID-19 Dynamics.
Hwang KKL, Edholm CJ, Saucedo O, Allen LJS, Shakiba N. Hwang KKL, et al. Bull Math Biol. 2022 Jul 20;84(9):91. doi: 10.1007/s11538-022-01030-6. Bull Math Biol. 2022. PMID: 35859080 Free PMC article.
We then use these parameters to construct a hybrid stochastic model that leverages the strengths of both a time-nonhomogeneous discrete process and a stochastic differential equation model. ...
We then use these parameters to construct a hybrid stochastic model that leverages the strengths of both a time-nonhomogeneous discre …
On the singular perturbations for fractional differential equation.
Atangana A. Atangana A. ScientificWorldJournal. 2014 Feb 9;2014:752371. doi: 10.1155/2014/752371. eCollection 2014. ScientificWorldJournal. 2014. PMID: 24683357 Free PMC article.
The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. ...We make use of the Laplace transform operator to derive exact solution of singular perturbation fractiona …
The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept …
Quantum Theory of Massless Particles in Stationary Axially Symmetric Spacetimes.
Moalem A, Gersten A. Moalem A, et al. Entropy (Basel). 2021 Sep 13;23(9):1205. doi: 10.3390/e23091205. Entropy (Basel). 2021. PMID: 34573830 Free PMC article.
It is demonstrated that up to a normalization function, the angular wave function does not depend on the metric and practically is the same as in the Minkowskian case. The radial wave functions satisfy second order nonhomogeneous differential equations with t …
It is demonstrated that up to a normalization function, the angular wave function does not depend on the metric and practically is the same …
Bifurcation and Pattern Formation in an Activator-Inhibitor Model with Non-local Dispersal.
Wang X, Shi J, Zhang G. Wang X, et al. Bull Math Biol. 2022 Oct 29;84(12):140. doi: 10.1007/s11538-022-01098-0. Bull Math Biol. 2022. PMID: 36308606
In this paper, by approximating the non-local spatial dispersal equation by an associated reaction-diffusion system, an activator-inhibitor model with non-local dispersal is transformed into a reaction-diffusion system coupled with one ordinary differential equat …
In this paper, by approximating the non-local spatial dispersal equation by an associated reaction-diffusion system, an activator-inh …
89 results