Mechanistic modeling of viral particle production

CT Canova, PK Inguva… - Biotechnology and …, 2023 - Wiley Online Library
Viral systems such as wild‐type viruses, viral vectors, and virus‐like particles are essential
components of modern biotechnology and medicine. Despite their importance, the …

[HTML][HTML] Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials

SA Yousefi, M Behroozifar, M Dehghan - Applied Mathematical Modelling, 2012 - Elsevier
In this paper a numerical method for solving the nonlinear age-structured population models
is presented which is based on Bernstein polynomials approximation. Operational matrices …

Structured models of cell migration incorporating molecular binding processes

P Domschke, D Trucu, A Gerisch… - Journal of mathematical …, 2017 - Springer
The dynamic interplay between collective cell movement and the various molecules
involved in the accompanying cell signalling mechanisms plays a crucial role in many …

Splitting-particle methods for structured population models: convergence and applications

JA Carrillo, P Gwiazda, A Ulikowska - Mathematical Models and …, 2014 - World Scientific
We propose a new numerical scheme designed for a wide class of structured population
models based on the idea of operator splitting and particle approximations. This scheme is …

A numerical method for nonlinear age-structured population models with finite maximum age

O Angulo, JC López-Marcos, MA López-Marcos… - Journal of mathematical …, 2010 - Elsevier
We propose a new numerical method for the approximation of solutions to a non-
autonomous form of the classical Gurtin–MacCamy population model with a mortality rate …

Эффекты промыслового воздействия на рыбную популяцию

АИ Абакумов, ЮГ Израильский - Математическая биология и …, 2016 - mathnet.ru
Популяция рыб в водоеме подвержена различным воздействиям окружающей среды,
существенную роль играет антропогенное влияние, в том числе промысловое. В …

Age-structured delayed SIPCV epidemic model of HPV and cervical cancer cells dynamics I. Numerical method

V Akimenko, F Adi-Kusumo - Biomath, 2021 - biomath.math.bas.bg
The numerical method for simulation dynamics of nonlinear epidemic model of age-
structured sub-populations of susceptible, infectious, precancerous and cancer cells and …

Optimal Harvest Problem for Fish Population—Structural Stabilization

A Abakumov, Y Izrailsky - Mathematics, 2022 - mdpi.com
The influence of environmental conditions and fishery on a typical pelagic or semi-pelagic
fish population is studied. A mathematical model of population dynamics with a size …

Chebyshev cardinal functions for solving age-structured population models

Z Avazzadeh, M Heydari - International Journal of Applied and …, 2017 - Springer
In this paper, we use Chebyshev cardinal functions for solving a nonlinear age-structured
population models. This partial integro-differential equation includes an integral equation as …

The escalator boxcar train method for a system of age-structured equations in the space of measures

JA Carrillo, P Gwiazda, K Kropielnicka… - SIAM Journal on …, 2019 - SIAM
The Escalator Boxcar Train (EBT) numerical method has been designed and widely used by
theoretical biologists to compute solutions of one-dimensional structured population models …