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Fucnctional Differential Equations in Cell Growth Models

Thesis Info

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Author

Humiara Aziz

Institute

Virtual University of Pakistan

Institute Type

Public

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Software Engineering

Language

English

Link

http://vspace.vu.edu.pk/detail.aspx?id=287

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676721014811

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A functional di erential equation for growth, ssion and loss of cells struc- tured with size is presented.Size refers to the content of DNA.Partial di er- ential equation explain the asymptotic functioning behavior of cell -growth models,are taken in to account.Here we discussed the symmetric fur- ther- more the asymmetric division of cell.Through probabilistic approach we ob- tained simple proof of existence of the steady size distribution and derivation of functional equation.We then move along the study of binary asymmetric cell division.Asymmetric cell division also takes to initial and boundary con- dition problem this relates to linear partial di erential equa- tion with two functional terms,which have order one.We consider the asymmetric binary cell division also show that the solutions for partial di erential equation converge to the separable solutions for large time.
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۔غزل

غزل ---انعام کبیر،لیکچرار اردو

شگفتگی کی ریاضت کو لاکھوں سال ہوئے
یہ مہر و ماہ، شب و روز، کائنات کے رنگ
گلاب ٹوٹ کے جُوڑے میں سج گئے لیکن
اکیلے روتے تھے دل میں گزشتگان کے زخم
عجیب مخمصے میں پڑ گیا وہ شخص الٹا
ہمیں وہ چاند سا چہرہ نظر نہیں آیا

 

یوں ارتقا ہوا اور پھول اس کے گال ہوئے
بہم ہوئے تو کہیں تیرے خدّ و خال ہوئے
ہم ایک شاخ سے ٹوٹے تو پائمال ہوئے
ترے بچھڑتے ہی رونق ہوئی نہال ہوئے
مرے جواب بھی اک سطح پر سوال ہوئے
ہمارے روزے تو پورے کا پورا سال ہوئے

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Psychology is an interesting subject. It is necessary for understanding the basic attitude and behavior of human beings. Since human attitude and behavior that take shape in early childhood, therefore, special attention is focused on the positive upbringing of kids. In this connection, the Prophet (peace be upon him) has enlightened the Ummah regarding the fundamental psychological principles, applying which positive attitude can be cultivated and developed in kids. This research article brings those principles under discussion.

Understanding How Akes, P Head Teachers Respond to the Increasing Demands of Their Role in the Context of Northern Areas of Pakistan

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