The Neighbour-Sensing mathematical model of hyphal growth is a set of interactive computer models that simulate the way fungi hyphae grow in three-dimensional space. The three-dimensional simulation is an experimental tool which can be used to study the morphogenesis of fungal hyphal networks. The modelling process starts from the proposition that each hypha in the fungal mycelium generates a certain abstract field that (like known physical fields) decreases with increasing distance. Both scalar and vector fields are included in the models. The field(s) and its (their) gradient(s) are used to inform the algorithm that calculates the likelihood of branching, the angle of branching and the growth direction of each hyphal tip in the simulated mycelium. The growth vector is being informed of its surroundings so, effectively, the virtual hyphal tip is sensing the neighbouring mycelium. This is why we call it the Neighbour-Sensing model. Cross-walls in living hyphae are formed only at right angles to the long axis of the hypha. A daughter hyphal apex can only arise if a branch is initiated. So, for the fungi, hyphal branch formation is the equivalent of cell division in animals, plants and protists. The position of origin of a branch, and its direction and rate of growth are the main formative events in the development of fungal tissues and organs. Consequently, by simulating the mathematics of the control of hyphal growth and branching the Neighbour-Sensing model provides the user with a way of experimenting with features that may regulate hyphal growth patterns during morphogenesis to arrive at suggestions that could be tested with live fungi. The model was proposed by Audrius Meškauskas and David Moore in 2004 and developed using the supercomputing facilities of the University of Manchester.The key idea of this model is that all parts of the fungal mycelium have identical field generation systems, field sensing mechanisms and growth direction altering algorithms. Under properly chosen model parameters it is possible to observe the transformation of the initial unordered mycelium structure into various forms, some of them being very like natural fungal fruit bodies and other complex structures. In one of the simplest examples, it is assumed that the hyphal tips try to keep a 45 degree orientation with relation to the Earth’s gravity vector field, and also generate some kind of scalar field that the growing tips try to avoid. This combination of parameters leads to development of hollow conical structures, similar to the fruit bodies of some primitive fungi. In another example, the hypha generates a vector field parallel to the hyphal axis, and the tips tend to turn parallel to that field. After more tips turn in the same direction, their hyphae form a stronger directional field. In this way, it is possible to observe spontaneous orientation of growing hypha in a single direction, which simulates the strands, cords and rhizomorphs produced by many species of fungi in nature.The parameters under which the model operates can be changed during its execution. This allows a greater variety of structures to be formed (including mushroom - like shapes) and may be supposed to simulate cases where the growth strategy depends on an internal biological clock.The Neighbour-Sensing model explains how various fungal structures may arise because of the ‘crowd behaviour’ of the community of hyphal tips that make up the mycelium. (Wikipedia).
Double Dwell Reciprocating 3D Model
Based on a video from https://www.youtube.com/user/thang010146. This user has hundreds of amazing videos with mechanisms. This one can be seen here: https://www.youtube.com/watch?v=8h9mjKA5SjQ. Free 3D model at https://skfb.ly/onUTn.
From playlist Mechanisms
Alison Etheridge: Spatial population models (3/4)
Abstract: Mathematical models play a fundamental role in theoretical population genetics and, in turn, population genetics provides a wealth of mathematical challenges. In these lectures, we focus on some of the models which arise when we try to model the interplay between the forces of ev
From playlist Summer School on Stochastic modelling in the life sciences
Target tracking with the proposed model for tracking. A 9-gaze template is chosen in order to model the appearance and the shape of the target (i.e., a hockey player). The learned policy converges to the gaze G4. The tracker is not hijacked by the other similar players.
From playlist tracking attention
👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
Multimeter Review / DMM Review / buyers guide / tutorial
A list of my multimeters can be purchased here: http://astore.amazon.com/m0711-20?_encoding=UTF8&node=5 In this video I do a review of several digital multimeters. I compare features and functionality. I explain safety features, number of digits, display count, accuracy and resolution. Th
From playlist Multimeter reviews, buyers guide and comparisons.
Networks: Part 5 - Oxford Mathematics 4th Year Student Lecture
Network Science provides generic tools to model and analyse systems in a broad range of disciplines, including biology, computer science and sociology. This course (we are showing the whole course over the next few weeks) aims at providing an introduction to this interdisciplinary field o
From playlist Oxford Mathematics Student Lectures - Networks
Networks: Part 6 - Oxford Mathematics 4th Year Student Lecture
Network Science provides generic tools to model and analyse systems in a broad range of disciplines, including biology, computer science and sociology. This course (we are showing the whole course over the next few weeks) aims at providing an introduction to this interdisciplinary field o
From playlist Oxford Mathematics Student Lectures - Networks
We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by time series measurements in the spatial domain. The regression framework relies on sparsity promoting techniques to select the nonlinear and partial derivative
From playlist Research Abstracts from Brunton Lab
Networks: Part 4 - Oxford Mathematics 4th Year Student Lecture
Network Science provides generic tools to model and analyse systems in a broad range of disciplines, including biology, computer science and sociology. This course (we are showing the whole course over the next few weeks) aims at providing an introduction to this interdisciplinary field o
From playlist Oxford Mathematics Student Lectures - Networks
What is the limit of a sequence of graphs?? | Benjamini-Schramm Convergence
This is an introduction to the mathematical concept of Benjamini-Schramm convergence, which is a type of graph limit theory which works well for sparse graphs. We hope that most of it is understandable by a wide audience with some mathematical background (including some prior exposure to g
From playlist Summer of Math Exposition Youtube Videos
Special Topics - The Kalman Filter (7 of 55) The Multi-Dimension Model 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the overview of the Kalman filter on a multi dimension model. Next video in this series can be seen at: https://youtu.be/F7vQXNro7pE
From playlist SPECIAL TOPICS 1 - THE KALMAN FILTER
The Mathematics of Crime and Terrorism - Numberphile
Thanks Audible: http://www.audible.com/numberphile More links & stuff in full description below ↓↓↓ Hannah Fry on the mathematics of crime and terrorism, on which she has co-authored a new paper. The paper: http://bit.ly/1nKR7Lk (open access version) Support us on Patreon: http://www.pa
From playlist Women in Mathematics - Numberphile
The ARCTIC CIRCLE THEOREM or Why do physicists play dominoes?
I only stumbled across the amazing arctic circle theorem a couple of months ago while preparing the video on Euler's pentagonal theorem. A perfect topic for a Christmas video. Before I forget, the winner of the lucky draw announced in my last video is Zachary Kaplan. He wins a copy of m
From playlist Recent videos
Christina Goldschmidt: Scaling limits of random trees and graphs - Lecture 2
HYBRID EVENT In the last 30 years, random combinatorial structures and their scaling limits have formed a flourishing area of research at the interface between probability and combinatorics. In this mini-course, I aim to show some of the beautiful theory that arises when considering scalin
From playlist Probability and Statistics
10b Data Analytics: Spatial Continuity
Lecture on the impact of spatial continuity to motivate characterization and modeling of spatial continuity.
From playlist Data Analytics and Geostatistics
Inventing Game of Life (John Conway) - Numberphile
John H Conway on the creation of his Game of Life. Conway playlist: http://bit.ly/ConwayNumberphile More at: http://youtu.be/E8kUJL04ELA More links & stuff in full description below ↓↓↓ Including the indirect roles of John von Neumann and Martin Gardner. Support us on Patreon: http://www
From playlist John Conway on Numberphile
Alison Etheridge: Spatial population models (2/4)
Abstract: Mathematical models play a fundamental role in theoretical population genetics and, in turn, population genetics provides a wealth of mathematical challenges. In these lectures, we focus on some of the models which arise when we try to model the interplay between the forces of ev
From playlist Summer School on Stochastic modelling in the life sciences
Determining if two angles are supplementary
👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
Sculpting tissues, building organs by Maithreyi Narasimha
Program ICTP - ICTS Winter School on Quantitative Systems Biology ORGANIZERS: Buzz Baum, Guillaume Salbreux, Stefano Di Talia and Vijaykumar Krishnamurthy DATE: 03 December 2019 to 20 December 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The development of an organism from a s
From playlist Winter School on Quantitative Systems Biology: Quantitative Approaches in Ecosystem Ecology 2020