Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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Longitudinal variations of brain functional connectivity: A case report study based on a mouse model of epilepsy
(20151231)Brain Functional Connectivity (FC) quantifies statistical dependencies between areas of the brain. FC has been widely used to address altered function of brain circuits in control conditions compared to different pathological ... 
Lowtraffic limit and firstpassage times for a simple model of the continuous double auction
(201705)We consider a simplified model of the continuous double auction where prices are integers varying from 1 to $N$ with limit orders and market orders, but quantity per order limited to a single share. For this model, the ... 
Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model
(20121231)In this paper, we study the global dynamics of a delayed SIRS epidemic model for transmission of disease with a class of nonlinear incidence rates of the form βS(t)∫ 0 hf(τ)G(I(tτ))dτ. Applying Lyapunov functional techniques ... 
A Machine Learning Approach to Predict Metabolic Pathway Dynamics from Time Series Multiomics Data
(201805)New synthetic biology capabilities hold the promise of dramatically improving our ability to engineer biological systems. However, a fundamental hurdle in realizing this potential is our inability to accurately predict ... 
Machine learning framework for assessment of microbial factory performance
(20190101)Metabolic models can estimate intrinsic product yields for microbial factories, but such frameworks struggle to predict cell performance (including product titer or rate) under suboptimal metabolism and complex bioprocess ... 
Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique
(20101231)The spin of a single electron in an electrically defined quantum dot in a twodimensional electron gas can be manipulated by moving the quantum dot adiabatically in a closed loop in the twodimensional plane under the ... 
Mathematical modelling as a tool to understand cell selfrenewal and differentiation
(20160101)Mathematical modeling is a powerful technique to address key questions and paradigms in a variety of complex biological systems and can provide quantitative insights into cell kinetics, fate determination and development ... 
Mathematical models for dengue fever epidemiology: a 10year systematic review
(20220215)Mathematical models have a long history in epidemiological research, and as the COVID19 pandemic progressed, research on mathematical modeling became imperative and very influential to understand the epidemiological ... 
Mathematical models for glioma growth and migration inside the brain
(202101)Gliomas are the most prevalent, aggressive, and invasive subtype of primary brain tumors, characterized by rapid cell proliferation and great infiltration capacity. De spite the advances of clinical research, these tumors ... 
Maximal regularity in $l_p$ spaces for discrete time fractional shifted equations
(20170501)In this paper, we are presenting a new method based on operatorvalued Fourier multipliers to \ characterize the existence and uniqueness of $\ell_p$solutions for discrete time fractional models in the form $$ ... 
Mechanism of hydrogen production via water splitting on 3CSiC's different surfaces: A firstprinciples study
(20141231)The reaction mechanism of producing hydrogen via water splitting on the different surfaces of cubic silicon carbide (3CSiC), the adsorption energy and the activation energy have been studied here by using density functional ... 
MesoGSHMC: A stochastic algorithm for mesoscale constant temperature simulations
(20111231)We consider the problem of timestepping/sampling for molecular and mesoscale particle dynamics. The aim of the work is to derive numerical timestepping methods that generate samples exactly from the desired target ... 
Metamodeling on detailed geography for accurate prediction of invasive alien species dispersal
(20191107)Invasive species are recognized as a significant threat to biodiversity. The mathematical modeling of their spatiotemporal dynamics can provide significant help to environmental managers in devising suitable control ... 
Metastable resting state brain dynamics
(20190906)Metastability refers to the fact that the state of a dynamical system spends a large amount of time in a restricted region of its available phase space before a transition takes place, bringing the system into another state ... 
Microbial production of advanced biofuels
(2021)Concerns over climate change have necessitated a rethinking of our transportation infrastructure. One possible alternative to carbonpolluting fossil fuels are biofuels produced from a renewable carbon source using engineered ... 
Microstructures of constrained shape memory alloy nanowires under thermal effects
(20101231)In this paper, martensitic transformations in constrained FePd nanowires are studied using a mesoscopic model analyzed in detail numerically in our earlier papers. The dynamics of squaretorectangular transformation is ... 
Modeling and optimal control of dengue disease with screening and information
(20211127)This study presents a mathematical model for dengue transmission which quantifies two very important aspects: one, the impact of informationbased behavioural response, and the other, the segregation of infected human ... 
Modeling cardiac structural heterogeneity via spacefractional differential equations
(2017)We discuss here the use of nonlocal models in space and fractional order operators in the characterisation of structural complexity and the modeling of propagation in heterogeneous biological tissues. In the specific, we ... 
Modeling COVID19: Challenges and results
(202010)Weird times we are living in. While lots of technological, medical and scientific advances are generated in a short period of time, we are now fighting a pandemic, trying to stop the spread of a new virus that has not only ... 
Modeling dengue immune responses mediated by antibodies: A qualitative study
(20210901)Dengue fever is a viral mosquitoborne infection and a major international public health concern. With 2.5 billion people at risk of acquiring the infection around the world, disease severity is influenced by the immunological ...