Reaction-diffusion models, pioneered by Alan Turing, are one of the most famous ways to mathematically describe pattern formation.
These models assume the existence of two or more interacting chemicals (often called morphogens) that diffuse through space and react with each other in such a way that patterns can emerge. In the three lectures we showing on the subject (this is the second), Ruth Baker will show how to analyse reaction-diffusion models to understand the conditions required for pattern formation, and the types of patterns that can emerge on differently sized and shaped domains.
You can watch the three lectures from the course as they appear on the playlist: • Mathematical Biology: Pattern formation in...
You can also watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists): • Student Lectures - All lectures
All first and second year lectures are followed by tutorials where students meet their tutor in pairs to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
Поделиться в:
Доступные форматы для скачивания:
Скачать видео mp4
Информация по загрузке:
Скачать аудио mp3
Похожие видео
array(10) {
[0]=>
object(stdClass)#4650 (5) {
["video_id"]=>
int(9999999)
["related_video_id"]=>
string(11) "Zh6PFxUFepg"
["related_video_title"]=>
string(97) "Mathematical Biology: Pattern formation in biology, lecture 3 - Oxford Mathematics 3rd Yr Lecture"
["posted_time"]=>
string(25) "4 недели назад"
["channelName"]=>
string(18) "Oxford Mathematics"
}
[1]=>
object(stdClass)#4623 (5) {
["video_id"]=>
int(9999999)
["related_video_id"]=>
string(11) "ta3pGHqPKkg"
["related_video_title"]=>
string(97) "Mathematical Biology: Pattern formation in biology, lecture 1 - Oxford Mathematics 3rd Yr Lecture"
["posted_time"]=>
string(23) "1 месяц назад"
["channelName"]=>
string(18) "Oxford Mathematics"
}
[2]=>
object(stdClass)#4648 (5) {
["video_id"]=>
int(9999999)
["related_video_id"]=>
string(11) "EK32jo7i5LQ"
["related_video_title"]=>
string(145) "Почему простые числа образуют эти спирали? | Теорема Дирихле и пи-аппроксимации"
["posted_time"]=>
string(19) "5 лет назад"
["channelName"]=>
string(11) "3Blue1Brown"
}
[3]=>
object(stdClass)#4655 (5) {
["video_id"]=>
int(9999999)
["related_video_id"]=>
string(11) "HZGCoVF3YvM"
["related_video_title"]=>
string(85) "Теорема Байеса, геометрия изменения убеждений"
["posted_time"]=>
string(19) "5 лет назад"
["channelName"]=>
string(11) "3Blue1Brown"
}
[4]=>
object(stdClass)#4634 (5) {
["video_id"]=>
int(9999999)
["related_video_id"]=>
string(11) "aircAruvnKk"
["related_video_title"]=>
string(101) "Но что такое нейронная сеть? | Глава 1. Глубокое обучение"
["posted_time"]=>
string(19) "7 лет назад"
["channelName"]=>
string(11) "3Blue1Brown"
}
[5]=>
object(stdClass)#4652 (5) {
["video_id"]=>
int(9999999)
["related_video_id"]=>
string(11) "Nc8Pxx24f-k"
["related_video_title"]=>
string(120) "Аксиома выбора: как Георг Кантор чуть не сломал математику [Veritasium]"
["posted_time"]=>
string(21) "1 день назад"
["channelName"]=>
string(10) "Vert Dider"
}
[6]=>
object(stdClass)#4647 (5) {
["video_id"]=>
int(9999999)
["related_video_id"]=>
string(11) "OI7_e41eOy0"
["related_video_title"]=>
string(166) "✓ Веревку вокруг Земли удлинили на 1 см. Пройдёт ли человек? | Ботай со мной #092 | Борис Трушин"
["posted_time"]=>
string(21) "4 года назад"
["channelName"]=>
string(23) "Борис Трушин"
}
[7]=>
object(stdClass)#4657 (5) {
["video_id"]=>
int(9999999)
["related_video_id"]=>
string(11) "xdTP-YHeJzs"
["related_video_title"]=>
string(90) "Как одна компания втайне отравила планету (Veritasium)"
["posted_time"]=>
string(25) "3 недели назад"
["channelName"]=>
string(10) "VoicePower"
}
[8]=>
object(stdClass)#4633 (5) {
["video_id"]=>
int(9999999)
["related_video_id"]=>
string(11) "cyjS8X1PinM"
["related_video_title"]=>
string(109) "Четыре коротких увлекательных фильма о физике и математике"
["posted_time"]=>
string(19) "1 год назад"
["channelName"]=>
string(68) "Mikhail Arkadev PianoKnowHow Пианистическая кухня"
}
[9]=>
object(stdClass)#4651 (5) {
["video_id"]=>
int(9999999)
["related_video_id"]=>
string(11) "oHBQ9a6xXko"
["related_video_title"]=>
string(99) "Тайна похорон и шокирующие находки в гробнице Пушкина"
["posted_time"]=>
string(24) "15 часов назад"
["channelName"]=>
string(29) "Загадки истории"
}
}
![Аксиома выбора: как Георг Кантор чуть не сломал математику [Veritasium]](https://ricktube.ru/thumbnail/Nc8Pxx24f-k/mqdefault.jpg)
