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ICETE 2019: Advances in Decision Sciences, Image Processing, Security and Computer Vision pp 57–65Cite as

A Continuum Model and Numerical Simulation for Avascular Tumor Growth

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Part of the book series: Learning and Analytics in Intelligent Systems ((LAIS,volume 3))

Abstract

A spatio-temporal continuum model is developed for avascular tumor growth in two dimensions using fractional advection-diffusion equation as the transportation in biological systems is heterogeneous and anomalous in nature (non-Fickian). The model handles skewness with a suitable parameter. We study the behavior of this model with a set of parameters, and suitable initial and boundary conditions. It is found that the fractional advection-diffusion equation based model is more realistic as it provides more insightful information for tumor growth at the macroscopic level.

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Acknowledgement

We are thankful to University Grant Commission, Government of India for supporting the first author with a Junior Research Fellowship.

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Authors and Affiliations

  1. Department of Computer Science, Banaras Hindu University, Varanasi, 221005, India

    Sounak Sadhukhan & S. K. Basu

  2. Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India

    Naveen Kumar

Authors
  1. Sounak Sadhukhan
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  2. S. K. Basu
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  3. Naveen Kumar
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Corresponding author

Correspondence to Sounak Sadhukhan .

Editor information

Editors and Affiliations

  1. School of Computer Engineering, Kalinga Institute of Industrial Technology (KIIT) Deemed to be University, Bhubaneswar, Odisha, India

    Suresh Chandra Satapathy

  2. Department of CSE, CMR Technical Campus, Hyderabad, Telangana, India

    K. Srujan Raju

  3. Department of CSE, University College of Engineering, Osmania University, Hyderabad, Telangana, India

    K. Shyamala

  4. Department of ECE, University College of Engineering, Osmania University, Hyderabad, Telangana, India

    D. Rama Krishna

  5. Institute of Informatics and Telecommunications, Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia

    Margarita N. Favorskaya

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Sadhukhan, S., Basu, S.K., Kumar, N. (2020). A Continuum Model and Numerical Simulation for Avascular Tumor Growth. In: Satapathy, S.C., Raju, K.S., Shyamala, K., Krishna, D.R., Favorskaya, M.N. (eds) Advances in Decision Sciences, Image Processing, Security and Computer Vision. ICETE 2019. Learning and Analytics in Intelligent Systems, vol 3. Springer, Cham. https://doi.org/10.1007/978-3-030-24322-7_8

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