Mathematical modeling | Applied mathematics
Viral dynamics is a field of applied mathematics concerned with describing the progression of viral infections within a host organism. It employs a family of mathematical models that describe changes over time in the populations of cells targeted by the virus and the viral load. These equations may also track competition between different viral strains and the influence of immune responses. The original viral dynamics models were inspired by compartmental epidemic models (e.g. the SI model), with which they continue to share many common mathematical features, such as the concept of the basic reproductive ratio (R0). The major distinction between these fields is in the scale at which the models operate: while epidemiological models track the spread of infection between individuals within a population (i.e. "between host"), viral dynamics models track the spread of infection between cells within an individual (i.e. "within host"). Analyses employing viral dynamic models have been used extensively to study HIV, hepatitis B virus, and hepatitis C virus, among other infections (Wikipedia).
Dynamics : An overview of the cause of mechanics
Dynamics is a subset of mechanics, which is the study of motion. Whereas kinetics studies that motion itself, dynamics is concerned about the CAUSES of motion. In particular, it involves the concepts of force, momentum and energy. This video gives an overview of what dynamics is, and is u
From playlist Dynamics
What is the displacement of a particle from a position graph
Keywords 👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of the particle by differentiating the function
From playlist Particle Motion Problems
This shows an small game that illustrates the concept of a vector. The clip is from the book "Immersive Linear Algebra" at http://www.immersivemath.com
From playlist Chapter 2 - Vectors
Momentum (1 of 16) An Explanation
This video gives a complete explanation of momentum. It also includes an example momentum problem. Momentum is a quantity of matter arising from its mass and velocity. The momentum of an object is directly proportional to its mass and velocity. Momentum is a vector quantity. Impulse is th
From playlist Momentum, Impulse, Inelastic and Elastic Collisions
What is the velocity of the particle at a given time from graph
Keywords 👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of the particle by differentiating the function
From playlist Particle Motion Problems
When is the particle moving to the right given a velocity graph
Keywords 👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of the particle by differentiating the function
From playlist Particle Motion Problems
Determine when a particle is moving down from a position graph
Keywords 👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of the particle by differentiating the function
From playlist Particle Motion Problems
Explaining position velocity and accelration definitions
Keywords 👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of the particle by differentiating the function
From playlist Particle Motion Problems
Within-host modeling of viral diseases - basic model with examples by Daniel Coombs
Dynamics of Complex Systems - 2017 DATES: 10 May 2017 to 08 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This Summer Program on Dynamics of Complex Systems is second in the series. The theme for the program this year is Mathematical Biology. Over the past decades, the focus o
From playlist Dynamics of Complex Systems - 2017
HIV-1 viral kinetics during treatment with multiple drug classes by Ruy Ribeiro
DISCUSSION MEETING : MATHEMATICAL AND STATISTICAL EXPLORATIONS IN DISEASE MODELLING AND PUBLIC HEALTH ORGANIZERS : Nagasuma Chandra, Martin Lopez-Garcia, Carmen Molina-Paris and Saumyadipta Pyne DATE & TIME : 01 July 2019 to 11 July 2019 VENUE : Madhava Lecture Hall, ICTS, Bangalore
From playlist Mathematical and statistical explorations in disease modelling and public health
Yuseob Kim - Adaptive evolution in pathogen populations under complex demographic dynamics
PROGRAM: School and Discussion Meeting on Population Genetics and Evolution PROGRAM LINK: http://www.icts.res.in/program/PGE2014 DATES: Saturday 15 Feb, 2014 - Monday 24 Feb, 2014 VENUE: Physics Auditorium, IISc, Bangalore Just as evolution is central to our understanding of biology, p
From playlist School and Discussion Meeting on Population Genetics and Evolution
Epidemiological case studies on Dengue and HIV by Daniel Coombs
Dynamics of Complex Systems - 2017 DATES: 10 May 2017 to 08 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This Summer Program on Dynamics of Complex Systems is second in the series. The theme for the program this year is Mathematical Biology. Over the past decades, the focus o
From playlist Dynamics of Complex Systems - 2017
Drug treatment and evolution of resistance by Daniel Coombs
Dynamics of Complex Systems - 2017 DATES: 10 May 2017 to 08 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This Summer Program on Dynamics of Complex Systems is second in the series. The theme for the program this year is Mathematical Biology. Over the past decades, the focus o
From playlist Dynamics of Complex Systems - 2017
The evolution of rapidly evolving RNA viruses by Richard Neher
Winter School on Quantitative Systems Biology DATE:04 December 2017 to 22 December 2017 VENUE:Ramanujan Lecture Hall, ICTS, Bengaluru The International Centre for Theoretical Sciences (ICTS) and the Abdus Salam International Centre for Theoretical Physics (ICTP), are organizing a Winter S
From playlist Winter School on Quantitative Systems Biology
[T1 2022] Alison Feder - Modeling the evolution of multi-drug resistance in HIV
HIV-1 is treated with combination therapies of multiple simultaneous drugs targeting different stages of the viral lifecycle, such that no single mutation confers resistance to all drugs used in a treatment. Complete drug resistance should require the co-occurrence of multiple resistance m
From playlist [T1 2022] Workshop - Mathematical models in ecology and evolution - March 21st to 25th, 2022
Colloqui della Classe di Scienze: Reidun Twarock - Mathematical Virology - 03 novembre 2021
Mathematical Virology: A Novel Perspective on Virus Structure, Assembly and Disassembly with Applications in Virus Nanotechnology. Reidun Twarock (University of York, UK) Viral protein containers, called capsids, are repurposed for applications in virus nanotechnology, including gene the
From playlist Colloqui della Classe di Scienze
Combining within and between host information: Evolution of virulence by Daniel Coombs
Dynamics of Complex Systems - 2017 DATES: 10 May 2017 to 08 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This Summer Program on Dynamics of Complex Systems is second in the series. The theme for the program this year is Mathematical Biology. Over the past decades, the focus o
From playlist Dynamics of Complex Systems - 2017
Learn how to find the displacement of a particle
Keywords 👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of the particle by differentiating the function
From playlist Particle Motion Problems
Workshop on Mathematics for the Health Sciences - Day II
- Nader El Khatib (Lebanese American University, Lebanon) “Mathematical Modeling of Atherosclerosis” - Vitaly Volpert(National Center for Scientific Research – France, RUDN – Russia) “Mathematical Modelling of Respiratory Viral Infections” - Mostafa Adimy (INRIA, France) “Modelling the Rel
From playlist Mathematical Biology
When is the particle at rest from a velocity graph
Keywords 👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of the particle by differentiating the function
From playlist Particle Motion Problems