### Recent Submissions

• #### Modeling dengue immune responses mediated by antibodies: A qualitative study ﻿

(2021-09-01)
Dengue fever is a viral mosquito-borne 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 ...
• #### Unveiling Interfacial Li-Ion Dynamics in Li7La3Zr2O12/PEO(LiTFSI) Composite Polymer-Ceramic Solid Electrolytes for All-Solid-State Lithium Batteries ﻿

(2021-06-23)
Unlocking the full potential of solid-state electrolytes (SSEs) is key to enabling safer and more-energy dense technologies than today’s Li-ion batteries. In particular, composite materials comprising a conductive, flexible ...
• #### A Tool for Custom Construction of QMC and RQMC Point Sets ﻿

(2021)
We present LatNet Builder, a software tool to find good parameters for lattice rules, polynomial lattice rules, and digital nets in base 2, for quasi-Monte Carlo (QMC) and randomized quasi-Monte Carlo (RQMC) sampling over ...
• #### Density Estimation by Monte Carlo and Quasi-Monte Carlo ﻿

(2021)
Estimating the density of a continuous random variable $X$ has been studied extensively in statistics, in the setting where $n$ independent observations of $X$ are given a priori and one wishes to estimate the density from ...
• #### Monte Carlo and Quasi-Monte Carlo Density Estimation via Conditioning ﻿

(2021)
Estimating the unknown density from which a given independent sample originates is more difficult than estimating the mean, in the sense that for the best popular non-parametric density estimators, the mean integrated ...
• #### A multiscale network-based model of contagion dynamics: heterogeneity, spatial distancing and vaccination ﻿

(2021)
Lockdown and vaccination policies have been the major concern in the last year in order to contain the SARS-CoV-2 infection during the COVID-19 pandemic. In this paper we present a model able to evaluate alternative lockdown ...
• #### What is life? A perspective of the mathematical kinetic theory of active particles ﻿

(2021)
The modeling of living systems composed of many interacting entities is treated in this paper with the aim of describing their collective behaviors. The mathematical approach is developed within the general framework of ...
• #### Microbial production of advanced biofuels ﻿

(2021)
Concerns over climate change have necessitated a rethinking of our transportation infrastructure. One possible alternative to carbon-polluting fossil fuels are biofuels produced from a renewable carbon source using engineered ...
• #### Computing Higher Leray–Serre Spectral Sequences of Towers of Fibrations ﻿

(2020-10-27)
The higher Leray–Serre spectral sequence associated with a tower of fibrations represents a generalization of the classical Leray–Serre spectral sequence of a fibration. In this work, we present algorithms to compute higher ...
• #### Critical fluctuations in epidemic models explain COVID‑19 post‑lockdown dynamics ﻿

(2021-07-06)
As the COVID-19 pandemic progressed, research on mathematical modeling became imperative and very influential to understand the epidemiological dynamics of disease spreading. The momentary reproduction ratio r(t) of an ...
• #### A space-fractional bidomain framework for cardiac electrophysiology: 1D alternans dynamics ﻿

(2021)
Cardiac electrophysiology modeling deals with a complex network of excitable cells forming an intricate syncytium: the heart. The electrical activity of the heart shows recurrent spatial patterns of activation, known as ...
• #### Variance Reduction with Array-RQMC for Tau-Leaping Simulation of Stochastic Biological and Chemical Reaction Networks ﻿

(2021)
We explore the use of Array-RQMC, a randomized quasi-Monte Carlo method designed for the simulation of Markov chains, to reduce the variance when simulating stochastic biological or chemical reaction networks with ...
• #### Targeting Impaired Antimicrobial Immunity in the Brain for the Treatment of Alzheimer’s Disease ﻿

(2021-05-04)
Alzheimer’s disease (AD) is the most common form of dementia and aging is the most common risk factor for developing the disease. The etiology of AD is not known but AD may be considered as a clinical syndrome with multiple ...
• #### Spike-adding and reset-induced canard cycles in adaptive integrate and fire models ﻿

(2021-05-03)
We study a class of planar integrate and fire (IF) models called adaptive integrate and fire (AIF) models, which possesses an adaptation vari- able on top of membrane potential, and whose subthreshold dynamics is piece- ...
• #### Predictive engineering and optimization of tryptophan metabolism in yeast through a combination of mechanistic and machine learning models ﻿

(2019)
In combination with advanced mechanistic modeling and the generation of high-quality multi-dimensional data sets, machine learning is becoming an integral part of understanding and engineering living systems. Here we show ...
• #### Chemoinformatic-guided engineering of polyketide synthases ﻿

(2019)
Polyketide synthase (PKS) engineering is an attractive method to generate new molecules such as commodity, fine and specialty chemicals. A central challenge in PKS design is replacing a partially reductive module with a ...
• #### ART: A machine learning Automated Recommendation Tool for synthetic biology ﻿

(2019)
Biology has changed radically in the last two decades, transitioning from a descriptive science into a design science. Synthetic biology allows us to bioengineer cells to synthesize novel valuable molecules such as renewable ...
• #### Mathematical models for glioma growth and migration inside the brain ﻿

(2021-01)
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 ...
• #### Inflection, Canards and Folded Singularities in Excitable Systems: Application to a 3D FitzHugh–Nagumo Model ﻿

(2020-09-07)
Specific kinds of physical and biological systems exhibit complex Mixed-Mode Oscillations mediated by folded-singularity canards in the context of slow-fast models. The present manuscript revisits these systems, specifically ...
• #### Why we should use topological data analysis in ageing: Towards defining the “topological shape of ageing” ﻿

(2020-10-27)
Living systems are subject to the arrow of time; from birth, they undergo complex transformations (self-organization) in a constant battle for survival, but inevitably ageing and disease trap them to death. Can ageing be ...