#### Filter Results:

- Full text PDF available (9)

#### Publication Year

1992

2008

- This year (0)
- Last 5 years (0)
- Last 10 years (2)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

Weierstrass’s everywhere continuous but nowhere differentiable function is shown to be locally continuously fractionally differentiable everywhere for all orders below the ‘critical order’ 2−s and not so for orders between 2−s and 1, where s, 1 < s < 2, is the box dimension of the graph of the function. This observation is consolidated in the general result… (More)

It has been recognized recently that fractional calculus is useful for handling scaling structures and processes. We begin this survey by pointing out the relevance of the subject to physical situations. Then the essential definitions and formulae from fractional calculus are summarized and their immediate use in the study of scaling in physical systems is… (More)

- Abhay Parvate, A D Gangal
- 2003

A new calculus based on fractal subsets of the real line is formulated. In this calculus, an integral of order α, 0 < α ≤ 1, called F-integral, is defined, which is suitable to integrate functions with fractal support F of dimension α. Further, a derivative of order α, 0 < α ≤ 1, called F-derivative, is defined, which enables us to differentiate functions,… (More)

Weierstrass's everywhere continuous but nowhere diierentiable function is shown to be locally continuously fractionally diierentiable everywhere for all orders below thècritical order' 2?s and not so for orders between 2?s and 1, where s, 1 < s < 2, is the box dimension of the graph of the function. This observation is consolidated in the general result… (More)

- V Sitaramam, S A Paranjpe, A D Gangal
- Biochimica et biophysica acta
- 1992

Membrane proteins exhibit charge anisotropy across the bilayer with the vector positive inwards. The proton pumps, primary or secondary, which have been examined as a subset of these membrane proteins, also reveal charge anisotropy based on their sequence data. The direction of the anisotropy appears to satisfy the observed directional gradient of protons… (More)

- Gauri R Pradhan, Sagar A Pandit, Anil D Gangal, V Sitaramam
- Journal of theoretical biology
- 2003

Biological polymers, viz., proteins, membranes and micelles exhibit structural discontinuities in terms of spaces unfilled by the polymeric phase, termed voids. These voids exhibit dynamics and lead to interesting properties which are experimentally demonstrable. In the specific case of phospholipid membranes, numerical simulations on a two-dimensional… (More)

We propose a 2-d computational model-system comprising a mixture of spheres and the objects of some other shapes, interacting via the Lennard-Jones potential. We propose a reliable and efficient numerical algorithm to obtain void statistics. The void distribution, in turn, determines the selective permeability across the system and bears a remarkable… (More)

The sets and curves of fractional dimension have been constructed and found to be useful at number of places in science [1]. They are used to model various irregular phenomena. It is wellknown that the usual calculus is inadequate to handle such structures and processes. Therefore a new calculus should be developed which incorporates fractals naturally.… (More)

It is shown that the manifold S can be equipped with a natural Nambu structure arising out of a cross product on the tangent space. Further, the group action of SU(2) on S is shown to be Nambu action. Moreover, we compare the action of SU(2) on spinors with that of a Nambu system.

Gauri R. Pradhan, ∗ Sagar A. Pandit, † Anil D. Gangal, and V. Sitaramam ‡ Department of Physics, University of Pune, Pune 411 007, India 2 Physical Research Laboratory, Ahmedabad 380 009, India Department of Biotechnology, University of Pune, Pune 411 007, India Abstract Numerical simulations on a 2-dimensional model system showed that voids are induced… (More)