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Mathematical Model for (Auto)-Immune Resistance Based on Pathogen Gradient 
Friday, 10 July 2015,  3:00 -  4:30
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Shreyas, J. S.

(Spark Scholar)

Integrated M. Sc. program

Mathematics Dept., NIT, Rourkela



Concentration gradients are ubiquitous and a guidance mechanism for various activities in

the physical and biological world such as Diffusion Limited Aggregation (DLA), protein

gradients directing developmental outcomes etc. While biological immunity is a

sophisticated, complex mechanism exhibiting various strategies, a simple defense

mechanism involving responses mounted on perceived pathogen gradient is at once a

direct and effective method. We present a spatio-temporal mathematical model for such a

mechanism in the context of Multiple Sclerosis (MS). Our model is one dimensional and

uses distress signals emanating from damaged tissues to mediate the immune response

which results in apoptosis, i.e. programmed cell death which, in this case, is initiated at

the boundary of the pathogen gradient, thus denying the pathogens ‘food’ for its spread.

Our model lends credence to the idea that such an immune action— autoimmunity— can

suppress pathogen growth and is, hence, beneficial. This suggests that it may be a

mistake to treat autoimmune diseases in the clinics with immune suppressant drugs. Our

model is rich in its dynamics and exhibits the commonly observed disease patterns of MS.

Location Conference Hall, C-MMACS New Building
Contact Dr. Krishnamohan


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