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  • Heart Curve -- from Wolfram MathWorld
    There are a number of mathematical curves that produced heart shapes, some of which are illustrated above A "zeroth" curve is a rotated cardioid (whose name means "heart-shaped") given by the polar equation r(theta)=1-sintheta
  • The Mathematics Of a Heartbeat - TOM ROCKS MATHS
    In this essay, we’ll explore the fascinating mathematics behind the heart’s beating, delving into topics such as cardiac cycle timing, blood flow dynamics, and the complex geometry of the heart’s chambers By the end, you’ll have a newfound appreciation for the amazing machine that keeps us all ticking
  • Cardiac Equations Flashcards - Quizlet
    Study with Quizlet and memorize flashcards containing terms like Heart Rate, Cycle length, Ventricular rate and more
  • Modelling in a heartbeat - Chalkdust
    The Heartbeat Equations In the 1970s E C Zeeman proposed a model for heartbeats using a non-linear differential equation Here is a slightly improved version of it: \begin{align} \epsilon \frac{dx}{dt} =-(x^3+Tx+b) \qquad \qquad (1)\\ \frac{db}{dt} =x-x_d+ (x_d-x_s)u \qquad \ (2) \end{align} What do these equations actually model?
  • Experimenting with the Heart - American Mathematical Society
    Equations based on Hooke’s Law model the geometry of the heart by repre-senting muscle fibers as closed curves of different elasticities The Navier-Stokes equations,which describe all fluid flows,model blood flow in and around the heart The fact that the heart’s shape is constantly changing,however,makes the
  • The Heart of Mathematics - ThatsMaths
    The human heart has four chambers and four valves Electrical signals control muscular activity in a synchronous way to ensure efficiency of the pumping action of a heartbeat Every person’s heart is unique and a customizable model of both the geometry and the dynamics of the heart is required





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