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Related Concept Videos

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models01:06

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models

Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
Net Change Theorem01:22

Net Change Theorem

The Net Change Theorem is a fundamental principle in calculus that establishes a direct relationship between a function’s rate of change and its accumulated change over an interval. Mathematically, it states that the definite integral of a function's derivative over a given interval [a,b] yields the net change in the original function:This theorem has significant applications in various real-world scenarios, including physics, economics, and engineering. A particularly useful application is in...
Growth Models with Integration: Problem Solving01:27

Growth Models with Integration: Problem Solving

In population modeling, integration provides a systematic way to determine accumulated quantities from known rates of change. One such application arises in ecology, where the total weight of a fish population in a body of water is referred to as its biomass. When the rate of growth of this biomass is known as a function of time, calculus can be used to determine the total biomass at a future date.Growth Rate and Biomass FunctionLet the growth rate of the fish population be represented by a...
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
Modeling with Differential Equations01:25

Modeling with Differential Equations

Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...
Design Example: Creating a Hydraulic Model of a Dam Spillway01:21

Design Example: Creating a Hydraulic Model of a Dam Spillway

Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.

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Related Experiment Video

Updated: May 16, 2026

Watershed Planning within a Quantitative Scenario Analysis Framework
12:44

Watershed Planning within a Quantitative Scenario Analysis Framework

Published on: July 24, 2016

Stochastic hydro-economic model for groundwater quality management using Bayesian networks.

José-Luis Molina1, Manuel Pulido-Velázquez, Carlos Llopis-Albert

  • 1Department of Hydraulic Engineering, Salamanca University, High Polytechnic School of Engineering Avila, Av. de los Hornos Caleros, 50, 05003 Ávila, Spain. jlmolina@usal.es

Water Science and Technology : a Journal of the International Association on Water Pollution Research
|December 4, 2012
PubMed
Summary

This study developed a Bayesian network model to manage groundwater quality and nitrate pollution under uncertainty. The hydro-economic model aids water managers in balancing competing objectives for sustainable water resource management.

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Last Updated: May 16, 2026

Watershed Planning within a Quantitative Scenario Analysis Framework
12:44

Watershed Planning within a Quantitative Scenario Analysis Framework

Published on: July 24, 2016

Area of Science:

  • Environmental Science
  • Water Resource Management
  • Hydrogeology

Background:

  • European water policies, including the Nitrate Directive and Water Framework Directive (WFD), mandate good water status.
  • Assessing impacts of water policies to reduce groundwater nitrate pollution requires balancing conflicting objectives.
  • Intensive groundwater irrigation in Spain's El Salobral-Los Llanos aquifer has led to declining water levels and river flow.

Purpose of the Study:

  • To design a hydro-economic model for assessing groundwater quality control under uncertainty.
  • To support water managers in decision-making for nitrate pollution reduction.
  • To evaluate the effectiveness of water policies in achieving environmental and economic goals.

Main Methods:

  • Development of an annual lumped probabilistic model using Bayesian networks (BNs).
  • Integration of diverse data sources: groundwater flow and mass transport simulations, hydro-economic models, stakeholder input, and expert opinion.
  • Application of the BN model to the large El Salobral-Los Llanos aquifer in Spain's Júcar River Basin.

Main Results:

  • The Bayesian network model effectively integrates various data streams for groundwater quality assessment.
  • The model provides a robust framework for hydro-economic analysis of nitrate pollution control strategies.
  • Demonstrated utility as a Decision Support System for water resource managers facing complex challenges.

Conclusions:

  • Bayesian networks offer a powerful tool for managing groundwater quality under uncertain conditions.
  • The developed model aids in balancing competing water management objectives, crucial for regulatory compliance (e.g., WFD).
  • This approach supports sustainable groundwater resource management in regions with intensive agricultural demands.