Journal of Mathematical Biology

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On the steady state optimization of the biogas production in a two-stage anaerobic digestion model
Journal of Mathematical Biology - Tập 78 - Trang 1067-1087 - 2018
Térence Bayen, Pedro Gajardo
In this paper, we study the optimization problem of maximizing biogas production at steady state in a two-stage anaerobic digestion model, which was initially proposed in Bernard et al. (Biotechnol Bioeng 75(4):424–438, 2001). Nominal operating points, consisting of steady states where the involved microorganisms coexist, are usually referred to as desired operational conditions, in particular for... hiện toàn bộ
An analytical approach to the problem of inverse optimization with additive objective functions: an application to human prehension
Journal of Mathematical Biology - Tập 61 - Trang 423-453 - 2009
Alexander V. Terekhov, Yakov B. Pesin, Xun Niu, Mark L. Latash, Vladimir M. Zatsiorsky
We consider the problem of what is being optimized in human actions with respect to various aspects of human movements and different motor tasks. From the mathematical point of view this problem consists of finding an unknown objective function given the values at which it reaches its minimum. This problem is called the inverse optimization problem. Until now the main approach to this problems has... hiện toàn bộ
Elementary proof of convergence to the mean-field model for the SIR process
Journal of Mathematical Biology - Tập 75 - Trang 327-339 - 2016
Benjamin Armbruster, Ekkehard Beck
The susceptible-infected-recovered (SIR) model has been used extensively to model disease spread and other processes. Despite the widespread usage of this ordinary differential equation (ODE) based model which represents the mean-field approximation of the underlying stochastic SIR process on contact networks, only few rigorous approaches exist and these use complex semigroup and martingale techni... hiện toàn bộ
Model of cell signal transduction in a three-dimensional domain
Journal of Mathematical Biology - Tập 63 - Trang 831-854 - 2011
Chris Levy, David Iron
Intracellular signalling molecules form pathways inside the cell. These pathways carry a signal to target proteins which results in cellular responses. We consider a spherical cell with two internal compartments containing localized activating enzymes where as deactivating enzymes are spread uniformly through out the cytosol. Two diffusible signalling molecules are activated at the compartments an... hiện toàn bộ
Use of mathematical modelling to assess respiratory syncytial virus epidemiology and interventions: a literature review
Journal of Mathematical Biology - - 2022
John C. Lang
Respiratory syncytial virus (RSV) is a leading cause of acute lower respiratory tract infection worldwide, resulting in approximately sixty thousand annual hospitalizations of< 5-year-olds in the United States alone and three million annual hospitalizations globally. The development of over 40 vaccines and immunoprophylactic interventions targeting RSV has the potential to significantly reduce the... hiện toàn bộ
Evolutionary stability of ideal free dispersal strategies in patchy environments
Journal of Mathematical Biology - Tập 65 Số 5 - Trang 943-965 - 2012
Robert Stephen Cantrell, Chris Cosner, Yuan Lou
Mô hình liên tục và mô phỏng số về khả năng di chuyển của tế bào Dịch bởi AI
Journal of Mathematical Biology - Tập 64 - Trang 1253-1279 - 2011
Neil Hodge, Panayiotis Papadopoulos
Nghiên cứu này đề xuất một mô hình cơ học liên tục về khả năng di chuyển của tế bào, đồng thời xem xét động lực học của các loại protein có liên quan đến khả năng di chuyển. Đối với trường hợp đặc biệt của keratocyte biểu bì cá, phản ứng căng thẳng và lực kéo giữa tế bào và nền được giả định phụ thuộc vào mật độ protein được chọn theo các đặc điểm cấu trúc của tế bào. Một phiên bản một chiều của m... hiện toàn bộ
#mô hình liên tục #khả năng di chuyển của tế bào #mô phỏng số #keratocyte biểu bì #protein có liên quan
Structural identifiability analysis of epidemic models based on differential equations: a tutorial-based primer
Journal of Mathematical Biology - Tập 87 - Trang 1-45 - 2023
Gerardo Chowell, Sushma Dahal, Yuganthi R. Liyanage, Amna Tariq, Necibe Tuncer
The successful application of epidemic models hinges on our ability to estimate model parameters from limited observations reliably. An often-overlooked step before estimating model parameters consists of ensuring that the model parameters are structurally identifiable from the observed states of the system. In this tutorial-based primer, intended for a diverse audience, including students trainin... hiện toàn bộ
On the effect of population heterogeneity on dynamics of epidemic diseases
Journal of Mathematical Biology - Tập 51 - Trang 123-143 - 2005
Vladimir M. Veliov
The paper investigates a class of SIS models of the evolution of an infectious disease in a heterogeneous population. The heterogeneity reflects individual differences in the susceptibility or in the contact rates and leads to a distributed parameter system, requiring therefore, distributed initial data, which are often not available. It is shown that there exists a corresponding homogeneous (ODE)... hiện toàn bộ
Intermingled basins in a two species system
Journal of Mathematical Biology - Tập 49 - Trang 293-309 - 2004
Franz Hofbauer, Josef Hofbauer, Peter Raith, Thomas Steinberger
We present simple examples of (competitive) two species systems with complicated dynamic behaviour. From almost all initial conditions one of the two species dies out. But the survivor is unpredictable: The basins of the two chaotic one-species attractors are everywhere dense and intermingled.
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