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1.
MicroPubl Biol ; 20242024.
Article in English | MEDLINE | ID: mdl-38344063

ABSTRACT

In brightfield and fluorescence microscopy, capturing images that show well-focused and immobile microorganisms can be challenging. An agarose-based gel pad reduces the variability of results, especially in conditions like uneven specimen staging, variable fluid dynamics, and Brownian motion that plague conventional wet mount setups. To correct these discrepancies during image acquisition, we analyzed three micropad preparation setups. We tested the quality and consistency of pads and images resulting from each setup. Our examination reveals that improved gel pad flatness is associated with better image quality. Moreover, we observe increased consistency in gel pad construction connected to the use of a 3D-printed setup. These findings highlight the technical benefits arising from incorporating micropad-generating platforms that increase the consistency of results in imaging pipelines. Additionally, our use of a quantitative approach to examine pad flatness suggests its inclusion in quality control pipelines to reduce variation in gel pad construction and image quality over time and between investigators. Finally, our use of a 3D-printed setup coupled with a quantitative downstream routine suggests their application in microscopy experiments that involve model organisms relevant to human health and disease.

2.
PLoS One ; 16(1): e0246116, 2021.
Article in English | MEDLINE | ID: mdl-33508037

ABSTRACT

Alzheimer's disease (AD) is a devastating illness affecting over 40 million people worldwide. Intraneuronal rise of amyloid beta in its oligomeric forms (iAßOs), has been linked to the pathogenesis of AD by disrupting cytosolic Ca2+ homeostasis. However, the specific mechanisms of action are still under debate and intense effort is ongoing to improve our understanding of the crucial steps involved in the mechanisms of AßOs toxicity. We report the development of a mathematical model describing a proposed mechanism by which stimulation of Phospholipase C (PLC) by iAßO, triggers production of IP3 with consequent abnormal release of Ca2+ from the endoplasmic reticulum (ER) through activation of IP3 receptor (IP3R) Ca2+ channels. After validating the model using experimental data, we quantify the effects of intracellular rise in iAßOs on model solutions. Our model validates a dose-dependent influence of iAßOs on IP3-mediated Ca2+ signaling. We investigate Ca2+ signaling patterns for small and large iAßOs doses and study the role of various parameters on Ca2+ signals. Uncertainty quantification and partial rank correlation coefficients are used to better understand how the model behaves under various parameter regimes. Our model predicts that iAßO alter IP3R sensitivity to IP3 for large doses. Our analysis also shows that the upstream production of IP3 can influence Aß-driven solution patterns in a dose-dependent manner. Model results illustrate and confirm the detrimental impact of iAßOs on IP3 signaling.


Subject(s)
Amyloid beta-Peptides/metabolism , Calcium Signaling , Calcium/metabolism , Models, Biological , Oocytes/metabolism , Xenopus Proteins/metabolism , Alzheimer Disease/metabolism , Animals , Humans , Xenopus
3.
J Math Biol ; 79(4): 1491-1514, 2019 09.
Article in English | MEDLINE | ID: mdl-31327021

ABSTRACT

Game-theoretic studies of voluntary vaccination predict that a socially unstructured population that is guided exclusively by individual rational self-interest always reaches a Nash equilibrium with vaccination coverage that is below the societal optimum. Human decision-making involves additional mechanisms, such as imitation of the successful strategies of others. However, previous research has found that imitation leads to vaccination coverage that is even below the Nash equilibrium. In this work, we note that these conclusions rely on the widely accepted use of Fermi functions for modeling the probabilities of switching to another strategy. We consider here a more general functional form of the switching probabilities. It involves one additional parameter [Formula: see text]. This parameter can be loosely interpreted as a degree of open-mindedness. The resulting dynamics are consistent with the ones that would be generated by functions that give best fits for empirical data in a widely cited psychological experiment. We show that sufficiently high levels of open-mindedness, as conceptualized by our parameter [Formula: see text], will drive equilibrium vaccination coverage levels above the Nash equilibrium, and in fact arbitrarily close to the societal optimum. These results were obtained both through mathematical analysis and numerical simulations.


Subject(s)
Game Theory , Imitative Behavior/physiology , Mass Vaccination/psychology , Models, Theoretical , Patient Acceptance of Health Care/psychology , Vaccination Coverage/statistics & numerical data , Humans
4.
Math Biosci Eng ; 15(1): 153-179, 2018 02 01.
Article in English | MEDLINE | ID: mdl-29161831

ABSTRACT

When mathematical models of infectious diseases are used to inform health policy, an important first step is often to calibrate a model to disease surveillance data for a specific setting (or multiple settings). It is increasingly common to also perform sensitivity analyses to demonstrate the robustness, or lack thereof, of the modeling results. Doing so requires the modeler to find multiple parameter sets for which the model produces behavior that is consistent with the surveillance data. While frequently overlooked, the calibration process is nontrivial at best and can be inefficient, poorly communicated and a major hurdle to the overall reproducibility of modeling results. In this work, we describe a general approach to calibrating infectious disease models to surveillance data. The technique is able to match surveillance data to high accuracy in a very efficient manner as it is based on the Newton-Raphson method for solving nonlinear systems. To demonstrate its robustness, we use the calibration technique on multiple models for the interacting dynamics of HIV and HSV-2.


Subject(s)
Communicable Diseases/epidemiology , Communicable Diseases/transmission , HIV Infections/transmission , Herpes Simplex/transmission , Models, Theoretical , Algorithms , Calibration , Communicable Disease Control , Computer Simulation , Epidemics , HIV Infections/epidemiology , Health Policy , Herpes Simplex/epidemiology , Herpesvirus 2, Human , Humans , Infectious Disease Medicine , Markov Chains , Monte Carlo Method , Prevalence
5.
J Theor Biol ; 388: 15-36, 2016 Jan 07.
Article in English | MEDLINE | ID: mdl-26493359

ABSTRACT

In this work, we examine practical aspects of backward bifurcation for a data-based model of tuberculosis that incorporates multiple features which have previously been shown to produce backward bifurcation (e.g. exogenous reinfection and imperfect vaccination) and new considerations such as the treatment of latent TB infection (LTBI) and the BCG vaccine's interference with detecting LTBI. Understanding the interplay between these multiple factors and backward bifurcation is particularly timely given that new diagnostic tests for LTBI detection could dramatically increase rates of both LTBI detection and vaccination in the coming decades. By establishing analytic thresholds for the existence of backward bifurcation, we identify those aspects of TB's complicated pathology that make backward bifurcation more or less likely to occur. We also examine the magnitude of the backward bifurcation produced by the model and its sensitivity to various model parameters. We find that backward bifurcation is unlikely to occur. While increased vaccine coverage and/or increased detection and treatment of LTBI can push the threshold for backward bifurcation into the region of biological plausibility, the resulting bifurcations may still be too small to have any noticeable epidemiological impact.


Subject(s)
Algorithms , BCG Vaccine/therapeutic use , Models, Theoretical , Mycobacterium tuberculosis/drug effects , Tuberculosis/drug therapy , Humans , Latent Tuberculosis/diagnosis , Latent Tuberculosis/drug therapy , Latent Tuberculosis/microbiology , Mycobacterium tuberculosis/physiology , Time Factors , Tuberculin Test/methods , Tuberculosis/diagnosis , Tuberculosis/microbiology , Vaccination/methods
6.
Nat Commun ; 5: 5454, 2014 Dec 02.
Article in English | MEDLINE | ID: mdl-25462707

ABSTRACT

Antiretroviral (ARV)-based pre-exposure HIV interventions may soon be rolled out in resource-constrained Sub-Saharan African countries, but rollout plans have yet to be designed. Here we use geospatial modelling and optimization techniques to compare two rollout plans for ARV-based microbicides in South Africa: a utilitarian plan that minimizes incidence by using geographic targeting, and an egalitarian plan that maximizes geographic equity in access to interventions. We find significant geographic variation in the efficiency of interventions in reducing HIV transmission, and that efficiency increases disproportionately with increasing incidence. The utilitarian plan would result in considerable geographic inequity in access to interventions, but (by exploiting geographic variation in incidence) could prevent ~40% more infections than the egalitarian plan. Our results show that the geographic resource allocation decisions made at the beginning of a rollout, and the location where the rollout is initiated, will be crucial in determining the success of interventions in reducing HIV epidemics.


Subject(s)
Anti-Retroviral Agents/therapeutic use , HIV Infections/prevention & control , Health Care Rationing/methods , Pre-Exposure Prophylaxis/methods , Africa South of the Sahara/epidemiology , Female , HIV Infections/epidemiology , HIV Infections/transmission , Humans , Incidence , Male , Models, Theoretical , Prevalence , Sex Distribution
11.
J Theor Biol ; 261(4): 548-60, 2009 Dec 21.
Article in English | MEDLINE | ID: mdl-19733577

ABSTRACT

Policies regarding the use of the Bacille Calmette-Guérin (BCG) vaccine for tuberculosis vary greatly throughout the international community. In several countries, consideration of discontinuing universal vaccination programs is currently under way. The arguments against mass vaccination are that the effectiveness of BCG in preventing tuberculosis is uncertain and that BCG vaccination can interfere with the detection and treatment of latent tuberculosis. In this work, we pose a dynamical systems model for the population-level dynamics of tuberculosis in order to study the trade-off which occurs between vaccination and detection/treatment of latent tuberculosis. We assume that latent infection in vaccinated individuals is completely undetectable. For the case of a country with very low levels of tuberculosis, we establish analytic thresholds, via stability analysis and the basic reproductive number, which determine the optimal vaccination policy, given the effectiveness of the vaccine and the detection/treatment rate of latent tuberculosis. The results of this work suggest that it is unlikely that a country detects and treats latent tuberculosis at a high enough rate to justify the discontinuation of mass vaccination from this perspective.


Subject(s)
BCG Vaccine , Health Policy , Latent Tuberculosis/diagnosis , Mass Vaccination , Models, Theoretical , Program Evaluation , Tuberculosis/prevention & control , Global Health , Humans , Mathematics
12.
J Math Biol ; 59(4): 535-61, 2009 Oct.
Article in English | MEDLINE | ID: mdl-19066896

ABSTRACT

It has been shown that the inclusion of an isolated class in the classical SIR model for childhood diseases can be responsible for self-sustained oscillations. Hence, the recurrent outbreaks of such diseases can be caused by autonomous, deterministic factors. We extend the model to include a latent class (i.e. individuals who are infected with the disease, but are not yet able to pass the disease to others) and study the resulting dynamics. The existence of Hopf bifurcations is shown for the model, as well as a homoclinic bifurcation for a perturbation to the model. For historical data on scarlet fever in England, our model agrees with the epidemiological data much more closely than the model without the latent class. For other childhood diseases, our model suggests that isolation is unlikely to be a major factor in sustained oscillations.


Subject(s)
Communicable Diseases/epidemiology , Models, Biological , Algorithms , Basic Reproduction Number , Chickenpox/epidemiology , Chickenpox/transmission , Child , Communicable Diseases/immunology , Communicable Diseases/transmission , Endemic Diseases , England/epidemiology , Humans , Measles/epidemiology , Measles/transmission , Mumps/epidemiology , Mumps/transmission , Quarantine , Rubella/epidemiology , Rubella/transmission , Scarlet Fever/epidemiology , Scarlet Fever/immunology , Scarlet Fever/transmission , Vaccination , Wales/epidemiology
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