توصيف النماذج الرياضية لاوساط التباين للموجات فوق الصوتية: استعراض

علاءالدين مجيد حسون

Article Details

توصيف النماذج الرياضية لاوساط التباين للموجات فوق الصوتية: استعراض

Authors:

علاءالدين مجيد حسون

Publisher:

Al-Mustansiriyah University

Journal:

مجلة كلية التربية Vol.17 Issue 1, pp.117-140

Document Type:

Article

Publication Date:

1/2016

Document Language:

English

Document ID (Org No.):

2001365262

pISSN:

2709-3166

Abstract:

 The typical contrast agents of ultrasound imaging composed of microbubblesof smaller than 7 μm in diameter this microbubbles consist of gas coated witha protein, lipid or polymer layer it is acting as very powerful scatterers.There are several models describe the dynamic behavior of thesemicrobubbles under ultrasound filed, the Lord Rayleigh’s model is the oldestone and the basis for all other models, this model was modified by plesset byadded the driving sound field, resulting in an equation called Rayleigh-Plessetequation which describes bubble oscillating due to the driving sound field inan inviscid and incompressible fluid of constant density, RP model is a secondorder nonlinear ODE, The RP equation may be modified by Noltingk,Neppiras and Poritsky Whose added the effects of the surrounding field ,this led to an equation called the RPNNP equation which is considered the thefirst step to construct a shelled bubble model. Later researchs Take intoaccount the liquid compressibility effect on the bubble dynamics, the majordevelopments occurred in this area by Keller and Miksis. The microbubbleswhich used in such contrast agents are normally stabilized by a thinshell ,the stiffness and viscosity of this thin shell add a another foctors to theacoustical behavior of the bubble, several models exist for the encapsulatingshell, the common models of encapsulated bubble are Hoff model andMarmottant Model, these models are an extension of the RP equation.Understanding the behavior of the microbubbles under ultrasound filed givesus a good tool to predict it’s dynamic motion, which help in designing a newand good contrast agent. In this article we review the linear and non-linearbehavior of the microbubbles and its mathematical models.

Article Details

توصيف النماذج الرياضية لاوساط التباين للموجات فوق الصوتية: استعراض

Authors: علاءالدين مجيد حسون

Publisher: Al-Mustansiriyah University

Journal: مجلة كلية التربية Vol.17 Issue 1, pp.117-140

Document Type: Article

Publication Date: 1/2016

Document Language: English

Document ID (Org No.): 2001365262

pISSN: 2709-3166

Issues

Authors:

علاءالدين مجيد حسون

Publisher:

Al-Mustansiriyah University

Journal:

مجلة كلية التربية Vol.17 Issue 1, pp.117-140

Document Type:

Article

Publication Date:

1/2016

Document Language:

English

Document ID (Org No.):

2001365262

pISSN:

2709-3166