Radius evolution for bubbles with elastic shells

• Bending pressure is taken into account by adding a new term in the Rayleigh–Plessetequation. Evolution of bubbles with shells obtained Sundman’s time. Closed-form solutions are through method Weierstrass elliptic equation. We present an analysis extended Rayleigh–Plesset (RP) equation for three dimensional cell microorganisms such as bacteria or viruses some liquid, where membrane envelope (capsid) possess elastic properties. To rapid changes shape configuration microorganisms, bubble membrane/envelope must be rigid to resist large pressures while being flexible adapt growth decay. Such properties embedded RP including bending that proportional square curvature wall. Analytical this terms functions.