Distribution of Myosin Attachment Times Predicted from Viscoelastic Mechanics of Striated Muscle

Figure 2

Examples of gamma distributions and associated survival functions. (a, b) The two parameters of the gamma distribution (𝑝 and 𝛽) permit description of a wide variety of distributions useful for representing the probability density function for myosin crossbridge attachment time, PDF_𝑡att(𝑡). Notably, a single exponential results when 𝑝=1 (a), and a Gaussian distribution is approximated as 𝑝 increases. (c, d) The survival function, 𝑆_𝜏(𝑡), refers to the probability that an attached crossbridge will survive to time 𝑡. The analytical relationship between the PDF_𝑡att(𝑡) and 𝑆_𝜏(𝑡) is provided by (10a) and (10b).