Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Design Example: Creating a Hydraulic Model of a Dam Spillway

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.

Typical Model Studies

Typical Model Studies

Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.

Modeling and Similitude

Modeling and Similitude

Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...

Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs

Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs

The fundamental mathematical principles, such as calculus and graphs, play crucial roles in analyzing drug movement and determining pharmacokinetic parameters. Differential calculus examines rates of change and helps to determine the dissolution rate of drugs in biofluids, as well as how drug concentrations change over time. For instance, it can help calculate the rate of elimination of a drug from the body based on its concentration-time profile.
On the other hand, integral calculus focuses on...

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Intracranial compliance monitoring using pulse shape index in traumatic brain injury: relation to cerebral physiology and clinical outcome.

Critical care (London, England)·2026

Same author

Quantitative assessment of flow between cerebrospinal and interstitial fluid compartments in humans.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same author

Impact of positive end-expiratory pressure on autonomic nervous system activity and its interaction with cerebrovascular reactivity - an experimental study.

Journal of clinical monitoring and computing·2026

Same author

New concepts in intracranial compliance: pathophysiology, monitoring and clinical implications.

Current opinion in critical care·2025

Same author

Comparison of Context-based Imputation for Missing Intracranial Pressure Signal.

Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference·2025

Same author

Invasive and Noninvasive Intracranial Pressure Pulse Waveform in Neurocritical Care Patients with Different Cranium Integrity.

Neurocritical care·2025

Same journal

A Life in Service of Neuroscience, Healing, and Teaching.

Neurology India·2026

Same journal

IN MEMORIAM.

Neurology India·2026

Same journal

Extensive Diffusion Restriction of White Matter, Midbrain, and Basal ganglia in a Neonate with Refractory Hypoglycemic Seizures.

Neurology India·2026

Same journal

CHD2-Related Developmental Epileptic Encephalopathy and Angelman Syndrome in a Girl: A Double Jeopardy.

Neurology India·2026

Same journal

Cerebral Schistosomiasis Mimicking Multiple Intracranial Metastases.

Neurology India·2026

Same journal

Extrusion of Spinal Implants Through the Overlying Skin: A Rare Epiphenomenon of Metal Allergy.

Neurology India·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Oct 5, 2025

Modeling Neonatal Intraventricular Hemorrhage Through Intraventricular Injection of Hemoglobin

Modeling Neonatal Intraventricular Hemorrhage Through Intraventricular Injection of Hemoglobin

Published on: August 25, 2022

Mathematical Modelling in Hydrocephalus.

Agnieszka Kazimierska¹, Arkadiusz Ziółkowski¹, Magdalena Kasprowicz¹

¹Department of Biomedical Engineering, Faculty of Fundamental Problems of Technology, Wroclaw University of Science and Technology, Wroclaw, Poland.

Neurology India

|February 1, 2022

Summary

This summary is machine-generated.

Mathematical models reveal how cerebrospinal fluid (CSF) and cerebral blood flow (CBF) dynamics are altered in hydrocephalus. These models offer new ways to diagnose and manage the condition using non-invasive techniques.

Keywords:

CSF circulation CSF compensatory parameters Cerebral blood flow hydrocephalus infusion test mathematical modeling model-based parameters of cerebral hemodynamics

More Related Videos

Neuronavigation and Laparoscopy Guided Ventriculoperitoneal Shunt Insertion for the Treatment of Hydrocephalus

Neuronavigation and Laparoscopy Guided Ventriculoperitoneal Shunt Insertion for the Treatment of Hydrocephalus

Published on: October 14, 2022

3D Modeling of the Lateral Ventricles and Histological Characterization of Periventricular Tissue in Humans and Mouse

3D Modeling of the Lateral Ventricles and Histological Characterization of Periventricular Tissue in Humans and Mouse

Published on: May 19, 2015

Related Experiment Videos

Last Updated: Oct 5, 2025

Modeling Neonatal Intraventricular Hemorrhage Through Intraventricular Injection of Hemoglobin

Modeling Neonatal Intraventricular Hemorrhage Through Intraventricular Injection of Hemoglobin

Published on: August 25, 2022

Neuronavigation and Laparoscopy Guided Ventriculoperitoneal Shunt Insertion for the Treatment of Hydrocephalus

Neuronavigation and Laparoscopy Guided Ventriculoperitoneal Shunt Insertion for the Treatment of Hydrocephalus

Published on: October 14, 2022

3D Modeling of the Lateral Ventricles and Histological Characterization of Periventricular Tissue in Humans and Mouse

3D Modeling of the Lateral Ventricles and Histological Characterization of Periventricular Tissue in Humans and Mouse

Published on: May 19, 2015

Area of Science:

Neuroscience
Biomedical Engineering
Mathematical Modeling

Background:

Alterations in cerebrospinal fluid (CSF) and cerebral blood flow (CBF) dynamics are crucial in hydrocephalus pathogenesis.
Mathematical modeling is essential for understanding these complex physiological interactions.

Purpose of the Study:

To review mathematical models of CSF and CBF dynamics in hydrocephalus.
To discuss the diagnostic utility of CSF compensatory parameters and model-based indices.
To explore non-invasive methods for assessing cerebral hemodynamics.

Main Methods:

Review of existing literature on mathematical models of CSF circulation.
Analysis of Marmarou's compartmental model for CSF spaces.
Examination of models for cardiac changes in cerebral arterial blood volume.
Inclusion of trans-cranial Doppler ultrasonography for non-invasive assessment.

Main Results:

CSF compensatory parameters from circulation models are established diagnostic tools for hydrocephalus.
Recent models indicate significant alterations in CBF dynamics in hydrocephalus.
Model-based indices of cerebral hemodynamics provide complementary diagnostic information.

Conclusions:

Mathematical models of CSF circulation are vital for hydrocephalus diagnosis and management.
Emerging models of cerebral circulation highlight CBF alterations in hydrocephalus.
Non-invasively derived, model-based indices offer valuable insights into cerebrospinal space status.