How Long to Read Mathematical Methods for Cancer Evolution

How Long Does it Take to Read Mathematical Methods for Cancer Evolution?

It takes the average reader 2 hours and 26 minutes to read Mathematical Methods for Cancer Evolution by Takashi Suzuki

Assuming a reading speed of 250 words per minute. Learn more

Description

The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via several stages are of particular interest. To describe these events, multi-scale models are applied, involving continuously distributed environment variables and several components related to particles. Hybrid simulations are also carried out, using discretization of environment variables and the Monte Carlo method for the principal particle variables. Rigorous mathematical foundations are the bases of these tools.The monograph is composed of four chapters. The first three chapters are concerned with modeling, while the last one is devoted to mathematical analysis. The first chapter deals with molecular dynamics occurring at the early stage of cancer invasion. A pathway network model based on a biological scenario is constructed, and then its mathematical structures are determined. In the second chapter mathematical modeling is introduced, overviewing several biological insights, using partial differential equations. Transport and gradient are the main factors, and several models are introduced including the Keller‒Segel systems. The third chapter treats the method of averaging to model the movement of particles, based on mean field theories, employing deterministic and stochastic approaches. Then appropriate parameters for stochastic simulations are examined. The segment model is finally proposed as an application. In the fourth chapter, thermodynamic features of these models and how these structures are applied in mathematical analysis are examined, that is, negative chemotaxis, parabolic systems with non-local term accounting for chemical reactions, mass-conservative reaction-diffusion systems, and competitive systems of chemotaxis. The monograph concludes with the method of the weak scaling limit applied to the Smoluchowski‒Poisson equation.

How long is Mathematical Methods for Cancer Evolution?

Mathematical Methods for Cancer Evolution by Takashi Suzuki is 144 pages long, and a total of 36,576 words.

This makes it 49% the length of the average book. It also has 45% more words than the average book.

How Long Does it Take to Read Mathematical Methods for Cancer Evolution Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 19 minutes to read Mathematical Methods for Cancer Evolution aloud.

What Reading Level is Mathematical Methods for Cancer Evolution?

Mathematical Methods for Cancer Evolution is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Mathematical Methods for Cancer Evolution?

Mathematical Methods for Cancer Evolution by Takashi Suzuki is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Mathematical Methods for Cancer Evolution by Takashi Suzuki on Amazon click the button below.