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# Data for "An analytical model describing the mechanics of erythrocyte membrane wrapping during active invasion of a plasmodium falciparum merozoite"

dataset

posted on 2022-06-17, 09:07 authored by Chimwemwe MsosaChimwemwe Msosa, Tamer Abdalrahman, Thomas FranzThomas Franz### MATLAB CODE

One archive file “Analytical model code.zip” contains Matlab code files:

- Rungekutta_graphs.m: Main code that combines all other functions and calculates meridian and circumferential stretches, stresses, tensions, indentation work, indentation force. The code also plots graphs.
- Marea.m: The script that computes the surface area of the malaria merozoites.
- Funsys11e1.m: The function that computes the meridian and circumferential stretches by using the fourth order Runge-Kutta method.
- fr22.m: The non-dimensional tension numerical data based on Mooney Rivlin.
- pr22.m: The non-dimensional tension based on the Hooke’s law.

### NUMERICAL DATA

One Excel file “Numerical data.xlsx” with three sheets

- data_As<4%_E=1kPa
- data_As<51%_E=1kPa
- data_E=0.5kPa

The sheets “data_As<4%_E=1kPa” and “data_As<51%_E=1kPa” present data for the erythrocyte membrane with an elastic modulus of 1 kPa for the maximum areal strain of the erythrocyte membrane of less than 4 and 51%, respectively.

The sheet “data_E=0.5kPa” presents parasite indentation numerical data for small <4% and large <51% erythrocyte membrane areal strain.

#### Description of data

Data label and data description in Excel file and corresponding manuscript figure

- ram1 and ram2 represent the meridian and circumferential stretch, respectively; Figure 2a and 2b
- Areal strain represents the areal strain of the erythrocyte membrane; Figures 2c and 2d
- Shear modulus numerical data represents the shear modulus of the erythrocyte membrane for small and large maximum areal strain; Figure 4a
- Total indentation force represents numerical data of force exerted by the malaria merozoite throughout the entire invasion process; Figure 5a
- MR numerical data (non-dimensional tension) is the numerical data based on the Mooney Rivlin law expressed in terms of dimensionless tension; Figure 3a-d
- Hooke’s Numerical data (non-dimensional tension) is the numerical data based on the Hooke’s law expressed in terms of dimensionless tension; Figure 3a-d
- Areal strain is the numerical areal strain data for the Mooney Rivlin law and the Hooke’s law; Figure 3a-d
- MR_T1 and MR_T2 represent the meridian and circumferential dimensionless tension based on the developed analytical model; Figure 3a-d
- T1 and T2 represent the meridian and circumferential tension based on the developed analytical model;
- S1 and S2 represent the meridian and circumferential stress based on the developed analytical model; Figure 4b
- Parasite indentation work is the work done by the malaria merozoite to internalize itself; Figures 6a and 6b
- Total wrapping force represents the force required by the malaria merozoite to be wrapped by the erythrocyte membrane; Figure 5b
- Parasite indentation work (As<51%) represents the work required by the malaria merozoite to internalize itself when the elastic modulus of the erythrocyte membrane is 0.5 kPa and when the areal strain of the erythrocyte membrane is less than 51%; Figure 6a
- Parasite indentation work (As<4%) represents the work required by the malaria merozoite to internalize itself when the elastic modulus of the erythrocyte membrane is 0.5 kPa and when the areal strain of the erythrocyte membrane is less than 4%; Figure 6b